From 241d4c7ed07bc642b099a686a7bcb95b380b6cee Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 20 Apr 2023 17:38:00 -0400 Subject: [PATCH 01/26] Initial notebook commit + add to index.md --- .gitignore | 3 + index.md | 1 + .../Enhanced sampling approaches.ipynb | 841 ++++++++++++++++++ 3 files changed, 845 insertions(+) create mode 100644 notebooks/cookbook/Enhanced sampling approaches.ipynb diff --git a/.gitignore b/.gitignore index b3c1b1f..52f62fd 100644 --- a/.gitignore +++ b/.gitignore @@ -141,3 +141,6 @@ cython_debug/ build .ipynb_checkpoints openmm + +# MacOS specific files +.DS_Store diff --git a/index.md b/index.md index a257a82..899ffe2 100644 --- a/index.md +++ b/index.md @@ -22,6 +22,7 @@ notebooks/cookbook/Changing Temperature and Pressure notebooks/cookbook/Saving Systems to XML Files notebooks/cookbook/Merging Molecules notebooks/cookbook/Adding Hydrogens to Nonstandard Molecules +notebooks/cookbook/Enhanced sampling approaches ::: ## Restraints, Constraints, and External Forces diff --git a/notebooks/cookbook/Enhanced sampling approaches.ipynb b/notebooks/cookbook/Enhanced sampling approaches.ipynb new file mode 100644 index 0000000..be496bd --- /dev/null +++ b/notebooks/cookbook/Enhanced sampling approaches.ipynb @@ -0,0 +1,841 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Imports and settings" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "from openmm.app import *\n", + "from openmm import * \n", + "from openmm.unit import *\n", + "from openmmtools import forces\n", + "import mdtraj as md\n", + "import numpy as np\n", + "import parmed as pmd\n", + "import bz2\n", + "import os\n", + "from openmm import CustomIntegrator\n", + "from openmm.unit import kilojoules_per_mole, is_quantity\n", + "from openmm.unit import *\n", + "import numpy as np\n", + "import pandas as pd \n", + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function for creating RMSD restraints \n", + "def create_rmsd_restraint(positions, atom_indicies):\n", + " rmsd_cv = RMSDForce(positions, atom_indicies)\n", + " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", + " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", + " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", + " restraint_force = CustomCVForce(energy_expression) \n", + " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", + " return restraint_force \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function to list force groups and modify system context \n", + "def forcegroupify(system): \n", + " forcegroups = {} \n", + " for i in range(system.getNumForces()): \n", + " force = system.getForce(i) \n", + " force.setForceGroup(i) \n", + " forcegroups[force] = i \n", + " return forcegroups" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup a quick simulation system + state + CVForces" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "sim_temp = 300.0 * kelvin\n", + "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", + "time_step = 0.002 * picosecond \n", + "nb_cutoff = 10.0 * angstrom \n", + "box_padding = 12.0 * angstrom\n", + "salt_conc = 0.15 * molar\n", + "receptor_path=\"./villin.pdb\"\n", + "current_file=\"villin-solvated\"\n", + "# Misc parameters \n", + "restraint_distance = 0.0 * angstroms \n", + "restart_freq = 10\n", + "log_freq = 1 \n", + "prd_steps = 100 " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## Load an already solvated PDB file and set up the system + state\n", + "pdb = PDBFile(receptor_path)\n", + "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", + "system = omm_forcefield.createSystem(pdb.topology, \n", + " nonbondedMethod=PME, \n", + " nonbondedCutoff=nb_cutoff, \n", + " constraints=HBonds, \n", + " rigidWater=True,\n", + " hydrogenMass=H_mass)\n", + "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Quickly identify a couple of atoms that we care about" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "prot_top = md.Topology.from_openmm(pdb.topology)\n", + "# find two atoms and save their inds\n", + "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", + "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", + "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's define a torsion we will use later\n", + "phe_chi = [72, 74, 76, 79]" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "# Define a way to create a basic CV force (using two distances)\n", + "def CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind):\n", + "\n", + " cvforce = CustomCVForce(\"0\")\n", + " system.addForce(cvforce)\n", + " D1 = CustomBondForce(\"r\")\n", + " D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", + " print(D1.getNumGlobalParameters())\n", + " #D1.addGlobalParameter(\"dist\", \"r\")\n", + " D2 = CustomBondForce(\"r\")\n", + " D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", + " #D2.addGlobalParameter(\"dist\", \"r\")\n", + " cvforce.addCollectiveVariable(\"D1\", D1)\n", + " cvforce.addCollectiveVariable(\"D2\", D2)\n", + " return cvforce" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# Setup a reusable platform\n", + "platform = Platform.getPlatformByName('OpenCL')\n", + "platform.setPropertyDefaultValue('Precision', 'mixed')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Let's setup some Accelerated Molecular Dynamics with a new Langevin Integrator" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To set up an Accelerated MD (AMD) simulation in OpenMM, we could use the default AMD object.\\\n", + "However this uses a Verlet integrator rather than Langevin dynamics. Luckily, OpenMM gives us the tools to write this ourselves, using the `CustomIntegrator` object! " + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For Langevin-AMD, we're effectively adding a boost potential to the simulation. \n", + "This boosted potential botential takes the form of\\\n", + "$V'(r) = V_{0}(r) + \\frac{(E-V(r))^2}{(\\alpha+E-V_0(r))}$ \\ \n", + "where $V_0(r)$ is the initial potential energy\\\n", + "and $\\alpha$ and E are hyper parameters defining the potential.\\\n", + "For further details on values to choose, see Hamelberg et al., J. Chem. Phys. 127, 155102 (2007)." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Let's define our custom integrator" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "kB = BOLTZMANN_CONSTANT_kB * AVOGADRO_CONSTANT_NA\n", + "\n", + "\n", + "class LangevinAMDIntegrator(CustomIntegrator):\n", + " \"\"\"AMDIntegrator implements the aMD integration algorithm.\n", + " The system is integrated based on a modified potential. Whenever the energy V(r) is less than a\n", + " cutoff value E, the following effective potential is used:\n", + " V*(r) = V(r) + (E-V(r))^2 / (alpha+E-V(r))\n", + " For details, see Hamelberg et al., J. Chem. Phys. 127, 155102 (2007).\n", + " \"\"\"\n", + "\n", + " def __init__(self, dt, alpha, E, temperature=300*kelvin, collision_rate=1.0/picosecond):\n", + " \"\"\"Create an AMDIntegrator.\n", + " Parameters\n", + " ----------\n", + " dt : time \n", + " The integration time step to use (simtk quantity)\n", + " alpha : energy\n", + " The alpha parameter to use\n", + " E : energy\n", + " The energy cutoff to use\n", + " temperature : temperature\n", + " temperature of the system\n", + " collision rate : collision rate\n", + " Collision for the thermostat to update on\n", + " \"\"\"\n", + " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", + " CustomIntegrator.__init__(self, dt)\n", + " # aMD boost parameters\n", + " self.addGlobalVariable(\"alpha\", alpha)\n", + " self.addGlobalVariable(\"E\", E)\n", + " self.addPerDofVariable(\"oldx\", 0)\n", + " self.addGlobalVariable(\"deltaV\", 0)\n", + " self.addGlobalVariable(\"V0\", 0)\n", + " self.addPerDofVariable(\"sigma\", 0)\n", + " self.addUpdateContextState();\n", + " \n", + " # Comment out old AMD method \n", + " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " # self.addComputePerDof(\"oldx\", \"x\")\n", + " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", + " # self.addConstrainPositions()\n", + " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", + "\n", + " # new variables for Langevin kernel\n", + " self.addGlobalVariable('kT', kB * temperature)\n", + " self.addComputePerDof(\"sigma\", \"sqrt(kT/m)\")\n", + " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", + " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", + "\n", + " #before position restraints\n", + " #self.addPerDofVariable(\"oldx\", 0)\n", + "\n", + " # Compute steps for Langevin - attempt at VRORV splitting?\n", + " # The below dof_string lines are comments on how to modify fprime (thinking out loud basically)\n", + " # dof_string+= \"v + (dt / 2) * fprime/m;\" # standard v updating for VRORV (I think)\n", + " # dof_string+=\"fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2);\" # the right hand addition is the secret amd sauce\n", + " # dof_string = \"modify=step(E-energy);\" # this is defining the modify scaling\n", + " # Put the above together into a single new -line for computing v\n", + " self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " # langevin like normal\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx)/(dt / 2)\")\n", + " self.addComputePerDof(\"v\", \"(a * v) + (b * sigma * gaussian)\") # taken from openmm-tutorial on custom integrators (link 1 above)\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx) / (dt / 2)\")\n", + " # Use the same line as what you calculated above\n", + " self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " # compute the V and deltaV values\n", + " self.addComputeGlobal(\"V0\", \"energy\")\n", + " self.addComputeGlobal(\"deltaV\",\"modify*(E-energy)^2/(alpha+E-energy); modify=step(E-energy)\")\n", + " self.addConstrainVelocities()\n", + "\n", + "\n", + "\n", + "\n", + " def getAlpha(self):\n", + " \"\"\"Get the value of alpha for the integrator.\"\"\"\n", + " return self.getGlobalVariable(0)*kilojoules_per_mole\n", + "\n", + " def setAlpha(self, alpha):\n", + " \"\"\"Set the value of alpha for the integrator.\"\"\"\n", + " self.setGlobalVariable(0, alpha)\n", + "\n", + " def getE(self):\n", + " \"\"\"Get the energy threshold E for the integrator.\"\"\"\n", + " return self.getGlobalVariable(1)*kilojoules_per_mole\n", + "\n", + " def setE(self, E):\n", + " \"\"\"Set the energy threshold E for the integrator.\"\"\"\n", + " self.setGlobalVariable(1, E)\n", + "\n", + " def getEffectiveEnergy(self, energy):\n", + " \"\"\"Given the actual potential energy of the system, return the value of the effective potential.\"\"\"\n", + " alpha = self.getAlpha()\n", + " E = self.getE()\n", + " if not is_quantity(energy):\n", + " energy = energy*kilojoules_per_mole # Assume kJ/mole\n", + " if (energy > E):\n", + " return energy\n", + " return energy+(E-energy)*(E-energy)/(alpha+E-energy)\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And now we can just define it using (Using arbitrary numbers - you should choose your own)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Briefly: To choose your own E and $\\alpha$ values, the \"best practice\" is to run an Eq. MD simulation for ~10 nanoseconds, and look at the distribution of potential energy values.\\\n", + "\n", + "You'll want to set E= of the V(r) distribution and $\\alpha$ to some fraction of E.\\ \n", + "Typically $\\alpha=0.2V(r)$ is a reasonable starting point " + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's define the integrator object:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "lang_amd_integrator = LangevinAMDIntegrator(dt=time_step,\n", + " alpha=13060*kilojoules_per_mole,\n", + " E=-63500*kilojoules_per_mole,\n", + " temperature=300*kelvin,\n", + " collision_rate=1.0/picosecond)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's define the simulation!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "lang_amd_simulation = Simulation(pdb.topology, system, lang_amd_integrator, platform)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Now let's add a couple of CVForce (with Force=0) to track distances:\n", + "forcegroups = forcegroupify(system)\n", + "cvforce = CreateCVForce(system)\n", + "cvforce.setForceGroup(31)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "At this point you can treat the `Simulation` object like any other" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's say you wanted to track the boost potential applied at each frame.\\\n", + "From this set of boosts you can reconstruct the effective FES explored.\n", + " " + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's define reporters and minimize" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# setup reporters\n", + "lang_amd_simulation.reporters.append(DCDReporter('langevin-amd/'+current_file+''+ '.dcd', restart_freq))\n", + "lang_amd_simulation.reporters.append(CheckpointReporter('langevin-amd/'+current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", + "lang_amd_simulation.reporters.append(StateDataReporter(open('langevin-amd/log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))\n", + "\n", + "# minimize\n", + "lang_amd_simulation.context.setPositions(pdb.positions)\n", + "lang_amd_simulation.minimizeEnergy()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Now run the simulation, tracking the boost using the Integrator\n", + "with open(\"./AMD-deltaV-vals.dat\", \"a\") as f:\n", + " for i in range(300):\n", + " lang_amd_simulation.step(10)\n", + " n_steps = str(lang_amd_simulation.context.getStepCount())\n", + " deltaV_val = str(lang_amd_integrator.getGlobalVariable(2))\n", + " v0 = str(lang_amd_integrator.getGlobalVariable(3))\n", + " d1, d2 = cvforce.getCollectiveVariableValues(lang_amd_simulation.context)\n", + " f.write(\"%s %s %s %s %s \\n\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Langevin Gaussian Accelerated MD - a Gaussian boost instead of normal" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "# Generate a customIntegrator for Gaussian Accelerated Molecular Dynamics (GAMD)\n", + "\n", + "kB = BOLTZMANN_CONSTANT_kB * AVOGADRO_CONSTANT_NA\n", + "\n", + "'''\n", + "Useful links in the writing of this integrator: \n", + "Writing custom integrators: https://github.com/choderalab/openmm-tutorials/blob/master/02%20-%20Integrators%20and%20sampling.ipynb\n", + "AMD integrator: https://github.com/openmm/openmm/blob/master/wrappers/python/openmm/amd.py\n", + "GAMD from Miao lab: https://github.com/MiaoLab20/gamd-openmm\n", + "'''\n", + "\n", + "class GAMDLangevinIntegrator(CustomIntegrator):\n", + " \"\"\"GAMDLangevinIntegrator implements the aMD integration algorithm.\n", + " The system is integrated based on a modified potential. Whenever the energy V(r) is less than a\n", + " cutoff value E, the following effective potential is used:\n", + " V*(r) = V(r) + ((k/2)*(E-V(r))**2)\n", + " \"\"\"\n", + "\n", + " def __init__(self, dt, E, k, temperature=300*kelvin, collision_rate=1.0/picosecond):\n", + " \"\"\"Create an GAMDLangevinIntegrator.\n", + " Parameters\n", + " ----------\n", + " dt : time\n", + " The integration time step to use\n", + " k : energy\n", + " The k parameter to use\n", + " E : energy\n", + " The energy cutoff to use\n", + " temperature : temperature\n", + " temperature of the system\n", + " collision rate : collision rate\n", + " Collision for the thermostat to update on\n", + " \"\"\"\n", + " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", + " CustomIntegrator.__init__(self, dt)\n", + " # aMD boost parameters\n", + " self.addGlobalVariable(\"k\", k)\n", + " self.addGlobalVariable(\"E\", E)\n", + " self.addPerDofVariable(\"oldx\", 0)\n", + " self.addGlobalVariable(\"deltaV\", 0)\n", + " self.addGlobalVariable(\"V0\", 0)\n", + " self.addPerDofVariable(\"sigma\", 0)\n", + " self.addUpdateContextState();\n", + " \n", + " # Comment out old AMD method - verlet I believe\n", + " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " # self.addComputePerDof(\"oldx\", \"x\")\n", + " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", + " # self.addConstrainPositions()\n", + " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", + "\n", + " # new variables for Langevin kernel\n", + " self.addGlobalVariable('kT', kB * temperature)\n", + " self.addComputePerDof(\"sigma\", \"sqrt(kT/m)\")\n", + " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", + " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", + "\n", + " #before position restraints\n", + " #self.addPerDofVariable(\"oldx\", 0)\n", + "\n", + " # Compute steps for Langevin - attempt at VRORV splitting?\n", + " # Original Langevin line in AMDIntegrator - replace this with GAMD\n", + " # self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + "\n", + " # The below dof_string lines are comments on how to modify fprime (thinking out loud basically)\n", + " # dof_string = \"modify=step(E-energy);\" # this is defining the scaling\n", + " # dof_string+= \"v + (dt / 2) * fprime/m;\" # standard v updating for VRORV (I think)\n", + " # dof_string+=\"fprime=f*((1-modify) + modify*(1-(k*E-energy)));\" # the right hand addition is the secret amd sauce\n", + "\n", + " # Put the above together into a single new -line for computing v\n", + " self.addComputePerDof(\"v\", \"v + (dt/2) * fprime/m; fprime=f*((1-modify) + modify*(1-k*(E-energy))); modify=step(E-energy)\")\n", + "\n", + " # now langevin like normal\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx)/(dt / 2)\")\n", + " self.addComputePerDof(\"v\", \"(a * v) + (b * sigma * gaussian)\")\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx) / (dt / 2)\")\n", + " # Update v with the same as the first line above\n", + " # comment out old line from AMDIntegrator attempt\n", + " #self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " self.addComputePerDof(\"v\", \"v + (dt/2) * fprime/m; fprime=f*((1-modify) + modify*(1-k*(E-energy))); modify=step(E-energy)\")\n", + " # compute the V and deltaV values\n", + " self.addComputeGlobal(\"V0\", \"energy\")\n", + " #self.addComputeGlobal(\"deltaV\",\"modify*(E-energy)^2/(alpha+E-energy); modify=step(E-energy)\")\n", + " self.addComputeGlobal(\"deltaV\",\"modify*((k / 2 * (E-energy)^2)); modify=step(E-energy)\")\n", + " self.addConstrainVelocities()\n", + "\n", + "\n", + "\n", + "\n", + " def getk(self):\n", + " \"\"\"Get the value of k for the integrator.\"\"\"\n", + " return self.getGlobalVariable(0)*kilojoules_per_mole\n", + "\n", + " def setk(self, k):\n", + " \"\"\"Set the value of k for the integrator.\"\"\"\n", + " self.setGlobalVariable(0, k)\n", + "\n", + " def getE(self):\n", + " \"\"\"Get the energy threshold E for the integrator.\"\"\"\n", + " return self.getGlobalVariable(1)*kilojoules_per_mole\n", + "\n", + " def setE(self, E):\n", + " \"\"\"Set the energy threshold E for the integrator.\"\"\"\n", + " self.setGlobalVariable(1, E)\n", + "\n", + " def getEffectiveEnergy(self, energy):\n", + " \"\"\"Given the actual potential energy of the system, return the value of the effective potential.\"\"\"\n", + " k = self.getk()\n", + " E = self.getE()\n", + " if not is_quantity(energy):\n", + " energy = energy*kilojoules_per_mole # Assume kJ/mole\n", + " if (energy > E):\n", + " return energy*kilojoules_per_mole # Assume kJ/mole\n", + " boost = (0.5 * k * (E-energy)*(E-energy)) / kilojoules_per_mole / kilojoules_per_mole\n", + " return energy + boost #energy+(E-energy)*(E-energy)/(alpha+E-energy)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's say we had some CSV file that had the potential energy distribution\n", + "How would we define the parameters that go into the GAMD Integrator? " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# load in and estimate Gamd parameters from langevin simualtion\n", + "table_vals = pd.read_csv(\"/home/sukrit/lilac/data/sampling-test/langevin-basic/log.langevin-basic\")\n", + "energies = table_vals[\"Potential Energy (kJ/mole)\"].values" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#potential energy statistics:\n", + "Vmax = energies.max()\n", + "Vmin = energies.min()\n", + "Vavg = energies.mean()\n", + "Vstd = np.std(energies)\n", + "print(f'Vmax: {Vmax},\\nVmin: {Vmin},\\nVavg: {Vavg},\\nVstd: {Vstd}')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "#set the desired maximum standard deviation of the boost potential to be 10kT: \n", + "sigma_0 = (MOLAR_GAS_CONSTANT_R * sim_temp ).value_in_unit(kilojoule_per_mole) * 10\n", + "print(f'Sigma0: {sigma_0}')\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# define k_0 and k\n", + "k_0 = min(1, sigma_0/Vstd * ((Vmax-Vmin)/(Vmax-Vavg)))\n", + "k = k_0 * (1 / (Vmax - Vmin) )\n", + "print(f'k_0: {k_0},\\nk: {k}')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And lastly - let's define the GAMD integrator object:\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Define the gamd_integrator\n", + "gamd_integrator = GAMDLangevinIntegrator(dt=time_step,\n", + " k=k,\n", + " E=Vmax,\n", + " temperature=300*kelvin,\n", + " collision_rate=1.0/picosecond)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Everything else happens as with AMD for defining a `Simulation` object and running/tracking\n", + "a simulation." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Metadynamics" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Defining our Gaussian boost potential values" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's say I already had run that Langevin dynamics simulation - we're going to use a CSV file to \\\n", + "best identify our Gaussian boosts" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "columts = ['step', 'd1', 'd2', 'NaN']\n", + "cv_eq = pd.read_csv(\"./eq-vals.dat\",\n", + " delimiter=\" \",\n", + " names=columts)\n", + "\n", + "d1_eq = cv_eq['d1'].values\n", + "d2_eq = cv_eq['d2'].values" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.hist(d1_eq)\n", + "print(\"average: %s \\n error %s\" % (np.mean(d1_eq), np.std(d1_eq)))\n", + "print(\"error value should thus be %s\" % (np.std(d1_eq) / 2))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.hist(d2_eq)\n", + "print(\"average: %s \\n error %s\" % (np.mean(d2_eq), np.std(d2_eq)))\n", + "print(\"error value should thus be %s\" % (np.std(d2_eq) / 2))" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Setting up our metadynamics simulation" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the code above let's say we define our boosts as well as we know them:" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This time we're going to operate a MetaD simulation on 3 CVs: 2 distances and 1 dihedral.\n", + "\n", + "We defined our distance and dihedral up high!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Define BiasVariables\n", + "d1 = CustomBondForce('r')\n", + "d1.addBond(d1_atom1_ind, d1_atom2_ind)\n", + "d1_bias = BiasVariable(d1, 0.3, 3.0, 0.05, periodic=False)\n", + "\n", + "d2=CustomBondForce('r')\n", + "d2.addBond(d1_atom1_ind, d2_atom2_ind)\n", + "d2_bias = BiasVariable(d2, 1.2, 5.0, 0.05, periodic=False)\n", + "\n", + "chi = CustomTorsionForce('theta')\n", + "chi.addTorsion(phe_chi[0], phe_chi[1], phe_chi[2], phe_chi[3])\n", + "chi_bias = BiasVariable(chi, -np.pi, np.pi, 0.35, True, 181)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "openmm", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.16" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 17a84b16f2854e61875c8e4dad2d081544e24f58 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 20 Apr 2023 17:41:14 -0400 Subject: [PATCH 02/26] Add metadynamics run example --- .../Enhanced sampling approaches.ipynb | 36 ++++++++++++++++++- 1 file changed, 35 insertions(+), 1 deletion(-) diff --git a/notebooks/cookbook/Enhanced sampling approaches.ipynb b/notebooks/cookbook/Enhanced sampling approaches.ipynb index be496bd..c5deb00 100644 --- a/notebooks/cookbook/Enhanced sampling approaches.ipynb +++ b/notebooks/cookbook/Enhanced sampling approaches.ipynb @@ -801,12 +801,46 @@ "chi_bias = BiasVariable(chi, -np.pi, np.pi, 0.35, True, 181)" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's run a Metadynamics simulation:" + ] + }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "# the meta object\n", + "meta = Metadynamics(system, \n", + " [d1_bias, d2_bias, chi_bias], 300, \n", + " biasFactor=5, height=1, frequency=1, \n", + " saveFrequency=10, \n", + " biasDir=\"./\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# run a simulation - tracking CVs\n", + "steps=1000\n", + "with open(\"./cv-tracker.dat\", \"a\") as f:\n", + " for i in range(steps):\n", + " meta.step(simulation, steps=10)\n", + " n_steps = str(simulation.context.getStepCount())\n", + " d1,d2 =meta._force.getCollectiveVariableValues(simulation.context)\n", + " f.write(\"%s %s %s \\n\" % (n_steps, str(d1), str(d2)))\n", + " meta._syncWithDisk()\n", + " fel_vals = meta.getFreeEnergy()\n", + "print(f\"Done with simulation.\")" + ] }, { "cell_type": "code", From dca236244bb31d3e2cbf34f81b429f315d5fd768 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 20 Apr 2023 17:48:09 -0400 Subject: [PATCH 03/26] Add Umbrella sampling --- .../Enhanced sampling approaches.ipynb | 135 +++++++++++++++++- 1 file changed, 133 insertions(+), 2 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling approaches.ipynb b/notebooks/cookbook/Enhanced sampling approaches.ipynb index c5deb00..37e35c5 100644 --- a/notebooks/cookbook/Enhanced sampling approaches.ipynb +++ b/notebooks/cookbook/Enhanced sampling approaches.ipynb @@ -75,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 29, "metadata": {}, "outputs": [], "source": [ @@ -842,12 +842,143 @@ "print(f\"Done with simulation.\")" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Umbrella sampling" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Set up 2 CVs with Harmonic potentials for defining the windows" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "bias_d1 = CustomBondForce(\"0.5*k*(r-r0_d1)^2\")\n", + "bias_d1.addGlobalParameter(\"k\", 1.0)\n", + "bias_d1.addGlobalParameter(\"r0_d1\", 0.3)" + ] + }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "bias_d2 = CustomBondForce(\"0.5*k*(r-r0_d2)^2\")\n", + "bias_d2.addGlobalParameter(\"k\", 1.0)\n", + "bias_d2.addGlobalParameter(\"r0_d2\", 0.3)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "bias_d1.addBond(d1_atom1_ind, d1_atom2_ind)\n", + "bias_d2.addBond(d1_atom1_ind, d2_atom2_ind)\n", + "\n", + "system.addForce(bias_d1)\n", + "system.addForce(bias_d2)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Construct simulation + windows " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's say we're going to use a normal vanilla Langevin integrator\n", + "langevin_integrator = LangevinIntegrator(sim_temp, 1.0/picosecond, time_step)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's define our simulation\n", + "platform = openmm.Platform.getPlatformByName('OpenCL')\n", + "platform.setPropertyDefaultValue('Precision', 'mixed')\n", + "\n", + "simulation = Simulation(pdb.topology,system, langevin_integrator, platform)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Now let's setup + run a single window" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "## set force constant K for the biasing potential.\n", + "## the unit here is kJ*mol^{-1}*nm^{-2}, which is the default unit used in OpenMM\n", + "K = 100\n", + "simulation.context.setParameter(\"k\", K)\n", + "\n", + "## M centers of harmonic biasing potentials\n", + "M = 20\n", + "r0_range = np.linspace(0.3, 2.0, M, endpoint = False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "simulation.context.setParameter('r0_d1', r0_range[1])\n", + "simulation.context.setParameter('r0_d2', r0_range[2])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "simulation.context.setPositions(positions)\n", + "print(' initial : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))\n", + "simulation.minimizeEnergy()\n", + "print(' final : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(10000):\n", + " simulation.step(10)" + ] } ], "metadata": { From 8724b309ca96c0c42a3d2587f9073fbfafb15e75 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 20 Apr 2023 17:59:18 -0400 Subject: [PATCH 04/26] fix typo --- notebooks/cookbook/Enhanced sampling approaches.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/notebooks/cookbook/Enhanced sampling approaches.ipynb b/notebooks/cookbook/Enhanced sampling approaches.ipynb index 37e35c5..4e08432 100644 --- a/notebooks/cookbook/Enhanced sampling approaches.ipynb +++ b/notebooks/cookbook/Enhanced sampling approaches.ipynb @@ -212,7 +212,7 @@ "source": [ "For Langevin-AMD, we're effectively adding a boost potential to the simulation. \n", "This boosted potential botential takes the form of\\\n", - "$V'(r) = V_{0}(r) + \\frac{(E-V(r))^2}{(\\alpha+E-V_0(r))}$ \\ \n", + "$V'(r) = V_{0}(r) + \\frac{(E-V(r))^2}{(\\alpha+E-V_0(r))}$ \n", "where $V_0(r)$ is the initial potential energy\\\n", "and $\\alpha$ and E are hyper parameters defining the potential.\\\n", "For further details on values to choose, see Hamelberg et al., J. Chem. Phys. 127, 155102 (2007)." From 4092b16587ec46ae30b4e7ce298c9c68ba7d67ad Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Fri, 21 Apr 2023 13:33:29 -0400 Subject: [PATCH 05/26] Reformat for PR #16 + Add Accelerated MD notebook --- .../Enhanced sampling approaches.ipynb | 1006 ----------------- .../Accelerated MD.ipynb | 475 ++++++++ 2 files changed, 475 insertions(+), 1006 deletions(-) delete mode 100644 notebooks/cookbook/Enhanced sampling approaches.ipynb create mode 100644 notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb diff --git a/notebooks/cookbook/Enhanced sampling approaches.ipynb b/notebooks/cookbook/Enhanced sampling approaches.ipynb deleted file mode 100644 index 4e08432..0000000 --- a/notebooks/cookbook/Enhanced sampling approaches.ipynb +++ /dev/null @@ -1,1006 +0,0 @@ -{ - "cells": [ - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Imports and settings" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [], - "source": [ - "from openmm.app import *\n", - "from openmm import * \n", - "from openmm.unit import *\n", - "from openmmtools import forces\n", - "import mdtraj as md\n", - "import numpy as np\n", - "import parmed as pmd\n", - "import bz2\n", - "import os\n", - "from openmm import CustomIntegrator\n", - "from openmm.unit import kilojoules_per_mole, is_quantity\n", - "from openmm.unit import *\n", - "import numpy as np\n", - "import pandas as pd \n", - "from matplotlib import pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# define a function for creating RMSD restraints \n", - "def create_rmsd_restraint(positions, atom_indicies):\n", - " rmsd_cv = RMSDForce(positions, atom_indicies)\n", - " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", - " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", - " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", - " restraint_force = CustomCVForce(energy_expression) \n", - " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", - " return restraint_force \n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "# define a function to list force groups and modify system context \n", - "def forcegroupify(system): \n", - " forcegroups = {} \n", - " for i in range(system.getNumForces()): \n", - " force = system.getForce(i) \n", - " force.setForceGroup(i) \n", - " forcegroups[force] = i \n", - " return forcegroups" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Setup a quick simulation system + state + CVForces" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [], - "source": [ - "sim_temp = 300.0 * kelvin\n", - "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", - "time_step = 0.002 * picosecond \n", - "nb_cutoff = 10.0 * angstrom \n", - "box_padding = 12.0 * angstrom\n", - "salt_conc = 0.15 * molar\n", - "receptor_path=\"./villin.pdb\"\n", - "current_file=\"villin-solvated\"\n", - "# Misc parameters \n", - "restraint_distance = 0.0 * angstroms \n", - "restart_freq = 10\n", - "log_freq = 1 \n", - "prd_steps = 100 " - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "5" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "## Load an already solvated PDB file and set up the system + state\n", - "pdb = PDBFile(receptor_path)\n", - "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", - "system = omm_forcefield.createSystem(pdb.topology, \n", - " nonbondedMethod=PME, \n", - " nonbondedCutoff=nb_cutoff, \n", - " constraints=HBonds, \n", - " rigidWater=True,\n", - " hydrogenMass=H_mass)\n", - "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Quickly identify a couple of atoms that we care about" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "prot_top = md.Topology.from_openmm(pdb.topology)\n", - "# find two atoms and save their inds\n", - "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", - "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", - "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [], - "source": [ - "# Let's define a torsion we will use later\n", - "phe_chi = [72, 74, 76, 79]" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "# Define a way to create a basic CV force (using two distances)\n", - "def CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind):\n", - "\n", - " cvforce = CustomCVForce(\"0\")\n", - " system.addForce(cvforce)\n", - " D1 = CustomBondForce(\"r\")\n", - " D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", - " print(D1.getNumGlobalParameters())\n", - " #D1.addGlobalParameter(\"dist\", \"r\")\n", - " D2 = CustomBondForce(\"r\")\n", - " D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", - " #D2.addGlobalParameter(\"dist\", \"r\")\n", - " cvforce.addCollectiveVariable(\"D1\", D1)\n", - " cvforce.addCollectiveVariable(\"D2\", D2)\n", - " return cvforce" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "# Setup a reusable platform\n", - "platform = Platform.getPlatformByName('OpenCL')\n", - "platform.setPropertyDefaultValue('Precision', 'mixed')" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Let's setup some Accelerated Molecular Dynamics with a new Langevin Integrator" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "To set up an Accelerated MD (AMD) simulation in OpenMM, we could use the default AMD object.\\\n", - "However this uses a Verlet integrator rather than Langevin dynamics. Luckily, OpenMM gives us the tools to write this ourselves, using the `CustomIntegrator` object! " - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For Langevin-AMD, we're effectively adding a boost potential to the simulation. \n", - "This boosted potential botential takes the form of\\\n", - "$V'(r) = V_{0}(r) + \\frac{(E-V(r))^2}{(\\alpha+E-V_0(r))}$ \n", - "where $V_0(r)$ is the initial potential energy\\\n", - "and $\\alpha$ and E are hyper parameters defining the potential.\\\n", - "For further details on values to choose, see Hamelberg et al., J. Chem. Phys. 127, 155102 (2007)." - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Let's define our custom integrator" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "kB = BOLTZMANN_CONSTANT_kB * AVOGADRO_CONSTANT_NA\n", - "\n", - "\n", - "class LangevinAMDIntegrator(CustomIntegrator):\n", - " \"\"\"AMDIntegrator implements the aMD integration algorithm.\n", - " The system is integrated based on a modified potential. Whenever the energy V(r) is less than a\n", - " cutoff value E, the following effective potential is used:\n", - " V*(r) = V(r) + (E-V(r))^2 / (alpha+E-V(r))\n", - " For details, see Hamelberg et al., J. Chem. Phys. 127, 155102 (2007).\n", - " \"\"\"\n", - "\n", - " def __init__(self, dt, alpha, E, temperature=300*kelvin, collision_rate=1.0/picosecond):\n", - " \"\"\"Create an AMDIntegrator.\n", - " Parameters\n", - " ----------\n", - " dt : time \n", - " The integration time step to use (simtk quantity)\n", - " alpha : energy\n", - " The alpha parameter to use\n", - " E : energy\n", - " The energy cutoff to use\n", - " temperature : temperature\n", - " temperature of the system\n", - " collision rate : collision rate\n", - " Collision for the thermostat to update on\n", - " \"\"\"\n", - " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", - " CustomIntegrator.__init__(self, dt)\n", - " # aMD boost parameters\n", - " self.addGlobalVariable(\"alpha\", alpha)\n", - " self.addGlobalVariable(\"E\", E)\n", - " self.addPerDofVariable(\"oldx\", 0)\n", - " self.addGlobalVariable(\"deltaV\", 0)\n", - " self.addGlobalVariable(\"V0\", 0)\n", - " self.addPerDofVariable(\"sigma\", 0)\n", - " self.addUpdateContextState();\n", - " \n", - " # Comment out old AMD method \n", - " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - " # self.addComputePerDof(\"oldx\", \"x\")\n", - " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", - " # self.addConstrainPositions()\n", - " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", - "\n", - " # new variables for Langevin kernel\n", - " self.addGlobalVariable('kT', kB * temperature)\n", - " self.addComputePerDof(\"sigma\", \"sqrt(kT/m)\")\n", - " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", - " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", - "\n", - " #before position restraints\n", - " #self.addPerDofVariable(\"oldx\", 0)\n", - "\n", - " # Compute steps for Langevin - attempt at VRORV splitting?\n", - " # The below dof_string lines are comments on how to modify fprime (thinking out loud basically)\n", - " # dof_string+= \"v + (dt / 2) * fprime/m;\" # standard v updating for VRORV (I think)\n", - " # dof_string+=\"fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2);\" # the right hand addition is the secret amd sauce\n", - " # dof_string = \"modify=step(E-energy);\" # this is defining the modify scaling\n", - " # Put the above together into a single new -line for computing v\n", - " self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - " # langevin like normal\n", - " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", - " self.addComputePerDof(\"oldx\", \"x\")\n", - " self.addConstrainPositions()\n", - " self.addComputePerDof(\"v\", \"v + (x - oldx)/(dt / 2)\")\n", - " self.addComputePerDof(\"v\", \"(a * v) + (b * sigma * gaussian)\") # taken from openmm-tutorial on custom integrators (link 1 above)\n", - " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", - " self.addComputePerDof(\"oldx\", \"x\")\n", - " self.addConstrainPositions()\n", - " self.addComputePerDof(\"v\", \"v + (x - oldx) / (dt / 2)\")\n", - " # Use the same line as what you calculated above\n", - " self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - " # compute the V and deltaV values\n", - " self.addComputeGlobal(\"V0\", \"energy\")\n", - " self.addComputeGlobal(\"deltaV\",\"modify*(E-energy)^2/(alpha+E-energy); modify=step(E-energy)\")\n", - " self.addConstrainVelocities()\n", - "\n", - "\n", - "\n", - "\n", - " def getAlpha(self):\n", - " \"\"\"Get the value of alpha for the integrator.\"\"\"\n", - " return self.getGlobalVariable(0)*kilojoules_per_mole\n", - "\n", - " def setAlpha(self, alpha):\n", - " \"\"\"Set the value of alpha for the integrator.\"\"\"\n", - " self.setGlobalVariable(0, alpha)\n", - "\n", - " def getE(self):\n", - " \"\"\"Get the energy threshold E for the integrator.\"\"\"\n", - " return self.getGlobalVariable(1)*kilojoules_per_mole\n", - "\n", - " def setE(self, E):\n", - " \"\"\"Set the energy threshold E for the integrator.\"\"\"\n", - " self.setGlobalVariable(1, E)\n", - "\n", - " def getEffectiveEnergy(self, energy):\n", - " \"\"\"Given the actual potential energy of the system, return the value of the effective potential.\"\"\"\n", - " alpha = self.getAlpha()\n", - " E = self.getE()\n", - " if not is_quantity(energy):\n", - " energy = energy*kilojoules_per_mole # Assume kJ/mole\n", - " if (energy > E):\n", - " return energy\n", - " return energy+(E-energy)*(E-energy)/(alpha+E-energy)\n" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And now we can just define it using (Using arbitrary numbers - you should choose your own)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Briefly: To choose your own E and $\\alpha$ values, the \"best practice\" is to run an Eq. MD simulation for ~10 nanoseconds, and look at the distribution of potential energy values.\\\n", - "\n", - "You'll want to set E= of the V(r) distribution and $\\alpha$ to some fraction of E.\\ \n", - "Typically $\\alpha=0.2V(r)$ is a reasonable starting point " - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's define the integrator object:" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [], - "source": [ - "lang_amd_integrator = LangevinAMDIntegrator(dt=time_step,\n", - " alpha=13060*kilojoules_per_mole,\n", - " E=-63500*kilojoules_per_mole,\n", - " temperature=300*kelvin,\n", - " collision_rate=1.0/picosecond)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's define the simulation!" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "lang_amd_simulation = Simulation(pdb.topology, system, lang_amd_integrator, platform)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Now let's add a couple of CVForce (with Force=0) to track distances:\n", - "forcegroups = forcegroupify(system)\n", - "cvforce = CreateCVForce(system)\n", - "cvforce.setForceGroup(31)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "At this point you can treat the `Simulation` object like any other" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's say you wanted to track the boost potential applied at each frame.\\\n", - "From this set of boosts you can reconstruct the effective FES explored.\n", - " " - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's define reporters and minimize" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# setup reporters\n", - "lang_amd_simulation.reporters.append(DCDReporter('langevin-amd/'+current_file+''+ '.dcd', restart_freq))\n", - "lang_amd_simulation.reporters.append(CheckpointReporter('langevin-amd/'+current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", - "lang_amd_simulation.reporters.append(StateDataReporter(open('langevin-amd/log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))\n", - "\n", - "# minimize\n", - "lang_amd_simulation.context.setPositions(pdb.positions)\n", - "lang_amd_simulation.minimizeEnergy()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Now run the simulation, tracking the boost using the Integrator\n", - "with open(\"./AMD-deltaV-vals.dat\", \"a\") as f:\n", - " for i in range(300):\n", - " lang_amd_simulation.step(10)\n", - " n_steps = str(lang_amd_simulation.context.getStepCount())\n", - " deltaV_val = str(lang_amd_integrator.getGlobalVariable(2))\n", - " v0 = str(lang_amd_integrator.getGlobalVariable(3))\n", - " d1, d2 = cvforce.getCollectiveVariableValues(lang_amd_simulation.context)\n", - " f.write(\"%s %s %s %s %s \\n\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Langevin Gaussian Accelerated MD - a Gaussian boost instead of normal" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [], - "source": [ - "# Generate a customIntegrator for Gaussian Accelerated Molecular Dynamics (GAMD)\n", - "\n", - "kB = BOLTZMANN_CONSTANT_kB * AVOGADRO_CONSTANT_NA\n", - "\n", - "'''\n", - "Useful links in the writing of this integrator: \n", - "Writing custom integrators: https://github.com/choderalab/openmm-tutorials/blob/master/02%20-%20Integrators%20and%20sampling.ipynb\n", - "AMD integrator: https://github.com/openmm/openmm/blob/master/wrappers/python/openmm/amd.py\n", - "GAMD from Miao lab: https://github.com/MiaoLab20/gamd-openmm\n", - "'''\n", - "\n", - "class GAMDLangevinIntegrator(CustomIntegrator):\n", - " \"\"\"GAMDLangevinIntegrator implements the aMD integration algorithm.\n", - " The system is integrated based on a modified potential. Whenever the energy V(r) is less than a\n", - " cutoff value E, the following effective potential is used:\n", - " V*(r) = V(r) + ((k/2)*(E-V(r))**2)\n", - " \"\"\"\n", - "\n", - " def __init__(self, dt, E, k, temperature=300*kelvin, collision_rate=1.0/picosecond):\n", - " \"\"\"Create an GAMDLangevinIntegrator.\n", - " Parameters\n", - " ----------\n", - " dt : time\n", - " The integration time step to use\n", - " k : energy\n", - " The k parameter to use\n", - " E : energy\n", - " The energy cutoff to use\n", - " temperature : temperature\n", - " temperature of the system\n", - " collision rate : collision rate\n", - " Collision for the thermostat to update on\n", - " \"\"\"\n", - " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", - " CustomIntegrator.__init__(self, dt)\n", - " # aMD boost parameters\n", - " self.addGlobalVariable(\"k\", k)\n", - " self.addGlobalVariable(\"E\", E)\n", - " self.addPerDofVariable(\"oldx\", 0)\n", - " self.addGlobalVariable(\"deltaV\", 0)\n", - " self.addGlobalVariable(\"V0\", 0)\n", - " self.addPerDofVariable(\"sigma\", 0)\n", - " self.addUpdateContextState();\n", - " \n", - " # Comment out old AMD method - verlet I believe\n", - " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - " # self.addComputePerDof(\"oldx\", \"x\")\n", - " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", - " # self.addConstrainPositions()\n", - " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", - "\n", - " # new variables for Langevin kernel\n", - " self.addGlobalVariable('kT', kB * temperature)\n", - " self.addComputePerDof(\"sigma\", \"sqrt(kT/m)\")\n", - " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", - " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", - "\n", - " #before position restraints\n", - " #self.addPerDofVariable(\"oldx\", 0)\n", - "\n", - " # Compute steps for Langevin - attempt at VRORV splitting?\n", - " # Original Langevin line in AMDIntegrator - replace this with GAMD\n", - " # self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - "\n", - " # The below dof_string lines are comments on how to modify fprime (thinking out loud basically)\n", - " # dof_string = \"modify=step(E-energy);\" # this is defining the scaling\n", - " # dof_string+= \"v + (dt / 2) * fprime/m;\" # standard v updating for VRORV (I think)\n", - " # dof_string+=\"fprime=f*((1-modify) + modify*(1-(k*E-energy)));\" # the right hand addition is the secret amd sauce\n", - "\n", - " # Put the above together into a single new -line for computing v\n", - " self.addComputePerDof(\"v\", \"v + (dt/2) * fprime/m; fprime=f*((1-modify) + modify*(1-k*(E-energy))); modify=step(E-energy)\")\n", - "\n", - " # now langevin like normal\n", - " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", - " self.addComputePerDof(\"oldx\", \"x\")\n", - " self.addConstrainPositions()\n", - " self.addComputePerDof(\"v\", \"v + (x - oldx)/(dt / 2)\")\n", - " self.addComputePerDof(\"v\", \"(a * v) + (b * sigma * gaussian)\")\n", - " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", - " self.addComputePerDof(\"oldx\", \"x\")\n", - " self.addConstrainPositions()\n", - " self.addComputePerDof(\"v\", \"v + (x - oldx) / (dt / 2)\")\n", - " # Update v with the same as the first line above\n", - " # comment out old line from AMDIntegrator attempt\n", - " #self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - " self.addComputePerDof(\"v\", \"v + (dt/2) * fprime/m; fprime=f*((1-modify) + modify*(1-k*(E-energy))); modify=step(E-energy)\")\n", - " # compute the V and deltaV values\n", - " self.addComputeGlobal(\"V0\", \"energy\")\n", - " #self.addComputeGlobal(\"deltaV\",\"modify*(E-energy)^2/(alpha+E-energy); modify=step(E-energy)\")\n", - " self.addComputeGlobal(\"deltaV\",\"modify*((k / 2 * (E-energy)^2)); modify=step(E-energy)\")\n", - " self.addConstrainVelocities()\n", - "\n", - "\n", - "\n", - "\n", - " def getk(self):\n", - " \"\"\"Get the value of k for the integrator.\"\"\"\n", - " return self.getGlobalVariable(0)*kilojoules_per_mole\n", - "\n", - " def setk(self, k):\n", - " \"\"\"Set the value of k for the integrator.\"\"\"\n", - " self.setGlobalVariable(0, k)\n", - "\n", - " def getE(self):\n", - " \"\"\"Get the energy threshold E for the integrator.\"\"\"\n", - " return self.getGlobalVariable(1)*kilojoules_per_mole\n", - "\n", - " def setE(self, E):\n", - " \"\"\"Set the energy threshold E for the integrator.\"\"\"\n", - " self.setGlobalVariable(1, E)\n", - "\n", - " def getEffectiveEnergy(self, energy):\n", - " \"\"\"Given the actual potential energy of the system, return the value of the effective potential.\"\"\"\n", - " k = self.getk()\n", - " E = self.getE()\n", - " if not is_quantity(energy):\n", - " energy = energy*kilojoules_per_mole # Assume kJ/mole\n", - " if (energy > E):\n", - " return energy*kilojoules_per_mole # Assume kJ/mole\n", - " boost = (0.5 * k * (E-energy)*(E-energy)) / kilojoules_per_mole / kilojoules_per_mole\n", - " return energy + boost #energy+(E-energy)*(E-energy)/(alpha+E-energy)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's say we had some CSV file that had the potential energy distribution\n", - "How would we define the parameters that go into the GAMD Integrator? " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# load in and estimate Gamd parameters from langevin simualtion\n", - "table_vals = pd.read_csv(\"/home/sukrit/lilac/data/sampling-test/langevin-basic/log.langevin-basic\")\n", - "energies = table_vals[\"Potential Energy (kJ/mole)\"].values" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "#potential energy statistics:\n", - "Vmax = energies.max()\n", - "Vmin = energies.min()\n", - "Vavg = energies.mean()\n", - "Vstd = np.std(energies)\n", - "print(f'Vmax: {Vmax},\\nVmin: {Vmin},\\nVavg: {Vavg},\\nVstd: {Vstd}')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "#set the desired maximum standard deviation of the boost potential to be 10kT: \n", - "sigma_0 = (MOLAR_GAS_CONSTANT_R * sim_temp ).value_in_unit(kilojoule_per_mole) * 10\n", - "print(f'Sigma0: {sigma_0}')\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# define k_0 and k\n", - "k_0 = min(1, sigma_0/Vstd * ((Vmax-Vmin)/(Vmax-Vavg)))\n", - "k = k_0 * (1 / (Vmax - Vmin) )\n", - "print(f'k_0: {k_0},\\nk: {k}')" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And lastly - let's define the GAMD integrator object:\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Define the gamd_integrator\n", - "gamd_integrator = GAMDLangevinIntegrator(dt=time_step,\n", - " k=k,\n", - " E=Vmax,\n", - " temperature=300*kelvin,\n", - " collision_rate=1.0/picosecond)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Everything else happens as with AMD for defining a `Simulation` object and running/tracking\n", - "a simulation." - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Metadynamics" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Defining our Gaussian boost potential values" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Let's say I already had run that Langevin dynamics simulation - we're going to use a CSV file to \\\n", - "best identify our Gaussian boosts" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "columts = ['step', 'd1', 'd2', 'NaN']\n", - "cv_eq = pd.read_csv(\"./eq-vals.dat\",\n", - " delimiter=\" \",\n", - " names=columts)\n", - "\n", - "d1_eq = cv_eq['d1'].values\n", - "d2_eq = cv_eq['d2'].values" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "plt.hist(d1_eq)\n", - "print(\"average: %s \\n error %s\" % (np.mean(d1_eq), np.std(d1_eq)))\n", - "print(\"error value should thus be %s\" % (np.std(d1_eq) / 2))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plt.hist(d2_eq)\n", - "print(\"average: %s \\n error %s\" % (np.mean(d2_eq), np.std(d2_eq)))\n", - "print(\"error value should thus be %s\" % (np.std(d2_eq) / 2))" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Setting up our metadynamics simulation" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "From the code above let's say we define our boosts as well as we know them:" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This time we're going to operate a MetaD simulation on 3 CVs: 2 distances and 1 dihedral.\n", - "\n", - "We defined our distance and dihedral up high!" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Define BiasVariables\n", - "d1 = CustomBondForce('r')\n", - "d1.addBond(d1_atom1_ind, d1_atom2_ind)\n", - "d1_bias = BiasVariable(d1, 0.3, 3.0, 0.05, periodic=False)\n", - "\n", - "d2=CustomBondForce('r')\n", - "d2.addBond(d1_atom1_ind, d2_atom2_ind)\n", - "d2_bias = BiasVariable(d2, 1.2, 5.0, 0.05, periodic=False)\n", - "\n", - "chi = CustomTorsionForce('theta')\n", - "chi.addTorsion(phe_chi[0], phe_chi[1], phe_chi[2], phe_chi[3])\n", - "chi_bias = BiasVariable(chi, -np.pi, np.pi, 0.35, True, 181)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's run a Metadynamics simulation:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# the meta object\n", - "meta = Metadynamics(system, \n", - " [d1_bias, d2_bias, chi_bias], 300, \n", - " biasFactor=5, height=1, frequency=1, \n", - " saveFrequency=10, \n", - " biasDir=\"./\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# run a simulation - tracking CVs\n", - "steps=1000\n", - "with open(\"./cv-tracker.dat\", \"a\") as f:\n", - " for i in range(steps):\n", - " meta.step(simulation, steps=10)\n", - " n_steps = str(simulation.context.getStepCount())\n", - " d1,d2 =meta._force.getCollectiveVariableValues(simulation.context)\n", - " f.write(\"%s %s %s \\n\" % (n_steps, str(d1), str(d2)))\n", - " meta._syncWithDisk()\n", - " fel_vals = meta.getFreeEnergy()\n", - "print(f\"Done with simulation.\")" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Umbrella sampling" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Set up 2 CVs with Harmonic potentials for defining the windows" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "bias_d1 = CustomBondForce(\"0.5*k*(r-r0_d1)^2\")\n", - "bias_d1.addGlobalParameter(\"k\", 1.0)\n", - "bias_d1.addGlobalParameter(\"r0_d1\", 0.3)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "bias_d2 = CustomBondForce(\"0.5*k*(r-r0_d2)^2\")\n", - "bias_d2.addGlobalParameter(\"k\", 1.0)\n", - "bias_d2.addGlobalParameter(\"r0_d2\", 0.3)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "bias_d1.addBond(d1_atom1_ind, d1_atom2_ind)\n", - "bias_d2.addBond(d1_atom1_ind, d2_atom2_ind)\n", - "\n", - "system.addForce(bias_d1)\n", - "system.addForce(bias_d2)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Construct simulation + windows " - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Let's say we're going to use a normal vanilla Langevin integrator\n", - "langevin_integrator = LangevinIntegrator(sim_temp, 1.0/picosecond, time_step)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Let's define our simulation\n", - "platform = openmm.Platform.getPlatformByName('OpenCL')\n", - "platform.setPropertyDefaultValue('Precision', 'mixed')\n", - "\n", - "simulation = Simulation(pdb.topology,system, langevin_integrator, platform)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Now let's setup + run a single window" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "## set force constant K for the biasing potential.\n", - "## the unit here is kJ*mol^{-1}*nm^{-2}, which is the default unit used in OpenMM\n", - "K = 100\n", - "simulation.context.setParameter(\"k\", K)\n", - "\n", - "## M centers of harmonic biasing potentials\n", - "M = 20\n", - "r0_range = np.linspace(0.3, 2.0, M, endpoint = False)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "simulation.context.setParameter('r0_d1', r0_range[1])\n", - "simulation.context.setParameter('r0_d2', r0_range[2])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "simulation.context.setPositions(positions)\n", - "print(' initial : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))\n", - "simulation.minimizeEnergy()\n", - "print(' final : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "for i in range(10000):\n", - " simulation.step(10)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "openmm", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.16" - }, - "orig_nbformat": 4 - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb new file mode 100644 index 0000000..254aa40 --- /dev/null +++ b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb @@ -0,0 +1,475 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Imports and settings" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "from openmm.app import *\n", + "from openmm import * \n", + "from openmm.unit import *\n", + "from openmmtools import forces\n", + "import mdtraj as md\n", + "import numpy as np\n", + "import parmed as pmd\n", + "import bz2\n", + "import os\n", + "from openmm import CustomIntegrator\n", + "from openmm.unit import kilojoules_per_mole, is_quantity\n", + "from openmm.unit import *\n", + "import numpy as np\n", + "import pandas as pd \n", + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function for creating RMSD restraints \n", + "def create_rmsd_restraint(positions, atom_indicies):\n", + " rmsd_cv = RMSDForce(positions, atom_indicies)\n", + " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", + " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", + " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", + " restraint_force = CustomCVForce(energy_expression) \n", + " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", + " return restraint_force \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function to list force groups and modify system context \n", + "def forcegroupify(system): \n", + " forcegroups = {} \n", + " for i in range(system.getNumForces()): \n", + " force = system.getForce(i) \n", + " force.setForceGroup(i) \n", + " forcegroups[force] = i \n", + " return forcegroups" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup a simulation system + state + CVForces" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "sim_temp = 300.0 * kelvin\n", + "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", + "time_step = 0.002 * picosecond \n", + "nb_cutoff = 10.0 * angstrom \n", + "box_padding = 12.0 * angstrom\n", + "salt_conc = 0.15 * molar\n", + "receptor_path=\"../villin.pdb\"\n", + "current_file=\"villin-solvated\"\n", + "# Misc parameters \n", + "restraint_distance = 0.0 * angstroms \n", + "restart_freq = 10\n", + "log_freq = 1 \n", + "prd_steps = 100 " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## Load an already solvated PDB file and set up the system + state\n", + "pdb = PDBFile(receptor_path)\n", + "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", + "system = omm_forcefield.createSystem(pdb.topology, \n", + " nonbondedMethod=PME, \n", + " nonbondedCutoff=nb_cutoff, \n", + " constraints=HBonds, \n", + " rigidWater=True,\n", + " hydrogenMass=H_mass)\n", + "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Quickly identify a couple of atoms that we care about and set `CVForce`" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "prot_top = md.Topology.from_openmm(pdb.topology)\n", + "# find two atoms and save their inds\n", + "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", + "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", + "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's define a torsion we will use later\n", + "phe_chi = [72, 74, 76, 79]" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "# Define a way to create a basic CV force (using two distances)\n", + "def CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind):\n", + "\n", + " cvforce = CustomCVForce(\"0\")\n", + " system.addForce(cvforce)\n", + " D1 = CustomBondForce(\"r\")\n", + " D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", + " print(D1.getNumGlobalParameters())\n", + " #D1.addGlobalParameter(\"dist\", \"r\")\n", + " D2 = CustomBondForce(\"r\")\n", + " D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", + " #D2.addGlobalParameter(\"dist\", \"r\")\n", + " cvforce.addCollectiveVariable(\"D1\", D1)\n", + " cvforce.addCollectiveVariable(\"D2\", D2)\n", + " return cvforce" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "# Setup a reusable platform\n", + "platform = Platform.getPlatformByName('OpenCL')\n", + "platform.setPropertyDefaultValue('Precision', 'mixed')" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n" + ] + } + ], + "source": [ + "# Now let's add a couple of CVForce (with Force=0) to track distances:\n", + "forcegroups = forcegroupify(system)\n", + "cvforce = CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind)\n", + "cvforce.setForceGroup(31)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Let's setup some Accelerated Molecular Dynamics with a new Langevin Integrator" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To set up an Accelerated MD (AMD) simulation in OpenMM, we could use the default AMD object.\\\n", + "However this uses a Verlet integrator rather than Langevin dynamics. Luckily, OpenMM gives us the tools to write this ourselves, using the `CustomIntegrator` object! " + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For Langevin-AMD, we're effectively adding a boost potential to the simulation. \n", + "This boosted potential botential takes the form of\\\n", + "$V'(r) = V_{0}(r) + \\frac{(E-V(r))^2}{(\\alpha+E-V_0(r))}$ \n", + "where $V_0(r)$ is the initial potential energy\\\n", + "and $\\alpha$ and E are hyper parameters defining the potential.\\\n", + "For further details on values to choose, see Hamelberg et al., J. Chem. Phys. 127, 155102 (2007)." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Let's define our custom integrator" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "kB = BOLTZMANN_CONSTANT_kB * AVOGADRO_CONSTANT_NA\n", + "\n", + "\n", + "class LangevinAMDIntegrator(CustomIntegrator):\n", + " \"\"\"AMDIntegrator implements the aMD integration algorithm.\n", + " The system is integrated based on a modified potential. Whenever the energy V(r) is less than a\n", + " cutoff value E, the following effective potential is used:\n", + " V*(r) = V(r) + (E-V(r))^2 / (alpha+E-V(r))\n", + " For details, see Hamelberg et al., J. Chem. Phys. 127, 155102 (2007).\n", + " \"\"\"\n", + "\n", + " def __init__(self, dt, alpha, E, temperature=300*kelvin, collision_rate=1.0/picosecond):\n", + " \"\"\"Create an AMDIntegrator.\n", + " Parameters\n", + " ----------\n", + " dt : time \n", + " The integration time step to use (simtk quantity)\n", + " alpha : energy\n", + " The alpha parameter to use\n", + " E : energy\n", + " The energy cutoff to use\n", + " temperature : temperature\n", + " temperature of the system\n", + " collision rate : collision rate\n", + " Collision for the thermostat to update on\n", + " \"\"\"\n", + " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", + " CustomIntegrator.__init__(self, dt)\n", + " # aMD boost parameters\n", + " self.addGlobalVariable(\"alpha\", alpha)\n", + " self.addGlobalVariable(\"E\", E)\n", + " self.addPerDofVariable(\"oldx\", 0)\n", + " self.addGlobalVariable(\"deltaV\", 0)\n", + " self.addGlobalVariable(\"V0\", 0)\n", + " self.addPerDofVariable(\"sigma\", 0)\n", + " self.addUpdateContextState();\n", + " \n", + " # Comment out old AMD method \n", + " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " # self.addComputePerDof(\"oldx\", \"x\")\n", + " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", + " # self.addConstrainPositions()\n", + " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", + "\n", + " # new variables for Langevin kernel\n", + " self.addGlobalVariable('kT', kB * temperature)\n", + " self.addComputePerDof(\"sigma\", \"sqrt(kT/m)\")\n", + " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", + " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", + "\n", + " #before position restraints\n", + " #self.addPerDofVariable(\"oldx\", 0)\n", + "\n", + " # Compute steps for Langevin - attempt at VRORV splitting?\n", + " # The below dof_string lines are comments on how to modify fprime (thinking out loud basically)\n", + " # dof_string+= \"v + (dt / 2) * fprime/m;\" # standard v updating for VRORV (I think)\n", + " # dof_string+=\"fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2);\" # the right hand addition is the secret amd sauce\n", + " # dof_string = \"modify=step(E-energy);\" # this is defining the modify scaling\n", + " # Put the above together into a single new -line for computing v\n", + " self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " # langevin like normal\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx)/(dt / 2)\")\n", + " self.addComputePerDof(\"v\", \"(a * v) + (b * sigma * gaussian)\") # taken from openmm-tutorial on custom integrators (link 1 above)\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx) / (dt / 2)\")\n", + " # Use the same line as what you calculated above\n", + " self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " # compute the V and deltaV values\n", + " self.addComputeGlobal(\"V0\", \"energy\")\n", + " self.addComputeGlobal(\"deltaV\",\"modify*(E-energy)^2/(alpha+E-energy); modify=step(E-energy)\")\n", + " self.addConstrainVelocities()\n", + "\n", + "\n", + "\n", + "\n", + " def getAlpha(self):\n", + " \"\"\"Get the value of alpha for the integrator.\"\"\"\n", + " return self.getGlobalVariable(0)*kilojoules_per_mole\n", + "\n", + " def setAlpha(self, alpha):\n", + " \"\"\"Set the value of alpha for the integrator.\"\"\"\n", + " self.setGlobalVariable(0, alpha)\n", + "\n", + " def getE(self):\n", + " \"\"\"Get the energy threshold E for the integrator.\"\"\"\n", + " return self.getGlobalVariable(1)*kilojoules_per_mole\n", + "\n", + " def setE(self, E):\n", + " \"\"\"Set the energy threshold E for the integrator.\"\"\"\n", + " self.setGlobalVariable(1, E)\n", + "\n", + " def getEffectiveEnergy(self, energy):\n", + " \"\"\"Given the actual potential energy of the system, return the value of the effective potential.\"\"\"\n", + " alpha = self.getAlpha()\n", + " E = self.getE()\n", + " if not is_quantity(energy):\n", + " energy = energy*kilojoules_per_mole # Assume kJ/mole\n", + " if (energy > E):\n", + " return energy\n", + " return energy+(E-energy)*(E-energy)/(alpha+E-energy)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And now we can just define it using (Using arbitrary numbers - you should choose your own)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Briefly: To choose your own E and $\\alpha$ values, the \"best practice\" is to run an Eq. MD simulation for ~10 nanoseconds, and look at the distribution of potential energy values.\\\n", + "\n", + "You'll want to set E= of the V(r) distribution and $\\alpha$ to some fraction of E.\\ \n", + "Typically $\\alpha=0.2V(r)$ is a reasonable starting point " + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's define the integrator object:" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "lang_amd_integrator = LangevinAMDIntegrator(dt=time_step,\n", + " alpha=13060*kilojoules_per_mole,\n", + " E=-63500*kilojoules_per_mole,\n", + " temperature=300*kelvin,\n", + " collision_rate=1.0/picosecond)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "lang_amd_simulation = Simulation(pdb.topology, system, lang_amd_integrator, platform)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's say you wanted to track the boost potential applied at each frame.\\\n", + "From this set of boosts you can reconstruct the effective FES explored.\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "# setup reporters\n", + "lang_amd_simulation.reporters.append(DCDReporter(current_file+''+ '.dcd', restart_freq))\n", + "lang_amd_simulation.reporters.append(CheckpointReporter(current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", + "lang_amd_simulation.reporters.append(StateDataReporter(open('log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))\n", + "\n", + "# minimize\n", + "lang_amd_simulation.context.setPositions(pdb.positions)\n", + "lang_amd_simulation.minimizeEnergy()" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "# Now run the simulation, tracking the boost using the Integrator\n", + "with open(\"./AMD-deltaV-vals.dat\", \"a\") as f:\n", + " for i in range(2):\n", + " lang_amd_simulation.step(10)\n", + " n_steps = str(lang_amd_simulation.context.getStepCount())\n", + " deltaV_val = str(lang_amd_integrator.getGlobalVariable(2))\n", + " v0 = str(lang_amd_integrator.getGlobalVariable(3))\n", + " d1, d2 = cvforce.getCollectiveVariableValues(lang_amd_simulation.context)\n", + " f.write(\"%s %s %s %s %s \\n\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "openmm", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.16" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} From a5b4b00a8ec8705573d7b7dfab36ced8cbe379ea Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Fri, 21 Apr 2023 13:50:23 -0400 Subject: [PATCH 06/26] Add Gaussian AMD to cookbooks --- .../Accelerated MD.ipynb | 2 +- .../Gaussian Accelerated MD.ipynb | 544 ++++++++++++++++++ 2 files changed, 545 insertions(+), 1 deletion(-) create mode 100644 notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb diff --git a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb index 254aa40..23002dc 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb @@ -466,7 +466,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.16" + "version": "3.9.6" }, "orig_nbformat": 4 }, diff --git a/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb new file mode 100644 index 0000000..ccb10e7 --- /dev/null +++ b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb @@ -0,0 +1,544 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Imports and settings" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning: importing 'simtk.openmm' is deprecated. Import 'openmm' instead.\n" + ] + } + ], + "source": [ + "from openmm.app import *\n", + "from openmm import * \n", + "from openmm.unit import *\n", + "from openmmtools import forces\n", + "import mdtraj as md\n", + "import numpy as np\n", + "import parmed as pmd\n", + "import bz2\n", + "import os\n", + "from openmm import CustomIntegrator\n", + "from openmm.unit import kilojoules_per_mole, is_quantity\n", + "from openmm.unit import *\n", + "import numpy as np\n", + "import pandas as pd \n", + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function for creating RMSD restraints \n", + "def create_rmsd_restraint(positions, atom_indicies):\n", + " rmsd_cv = RMSDForce(positions, atom_indicies)\n", + " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", + " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", + " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", + " restraint_force = CustomCVForce(energy_expression) \n", + " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", + " return restraint_force \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function to list force groups and modify system context \n", + "def forcegroupify(system): \n", + " forcegroups = {} \n", + " for i in range(system.getNumForces()): \n", + " force = system.getForce(i) \n", + " force.setForceGroup(i) \n", + " forcegroups[force] = i \n", + " return forcegroups" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup a simulation system + state + CVForces" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "sim_temp = 300.0 * kelvin\n", + "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", + "time_step = 0.002 * picosecond \n", + "nb_cutoff = 10.0 * angstrom \n", + "box_padding = 12.0 * angstrom\n", + "salt_conc = 0.15 * molar\n", + "receptor_path=\"../villin.pdb\"\n", + "current_file=\"villin-solvated\"\n", + "# Misc parameters \n", + "restraint_distance = 0.0 * angstroms \n", + "restart_freq = 10\n", + "log_freq = 1 \n", + "prd_steps = 100 " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## Load an already solvated PDB file and set up the system + state\n", + "pdb = PDBFile(receptor_path)\n", + "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", + "system = omm_forcefield.createSystem(pdb.topology, \n", + " nonbondedMethod=PME, \n", + " nonbondedCutoff=nb_cutoff, \n", + " constraints=HBonds, \n", + " rigidWater=True,\n", + " hydrogenMass=H_mass)\n", + "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Quickly identify a couple of atoms that we care about and set `CVForce`" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "prot_top = md.Topology.from_openmm(pdb.topology)\n", + "# find two atoms and save their inds\n", + "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", + "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", + "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's define a torsion we will use later\n", + "phe_chi = [72, 74, 76, 79]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# Define a way to create a basic CV force (using two distances)\n", + "def CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind):\n", + "\n", + " cvforce = CustomCVForce(\"0\")\n", + " system.addForce(cvforce)\n", + " D1 = CustomBondForce(\"r\")\n", + " D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", + " print(D1.getNumGlobalParameters())\n", + " #D1.addGlobalParameter(\"dist\", \"r\")\n", + " D2 = CustomBondForce(\"r\")\n", + " D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", + " #D2.addGlobalParameter(\"dist\", \"r\")\n", + " cvforce.addCollectiveVariable(\"D1\", D1)\n", + " cvforce.addCollectiveVariable(\"D2\", D2)\n", + " return cvforce" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# Setup a usable platform\n", + "platform = Platform.getPlatformByName('OpenCL')\n", + "platform.setPropertyDefaultValue('Precision', 'mixed')" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n" + ] + } + ], + "source": [ + "# Now let's add a couple of CVForce (with Force=0) to track distances:\n", + "forcegroups = forcegroupify(system)\n", + "cvforce = CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind)\n", + "cvforce.setForceGroup(31)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Time to setup Gaussian Accelerated MD " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "kB = BOLTZMANN_CONSTANT_kB * AVOGADRO_CONSTANT_NA\n", + "\n", + "'''\n", + "Useful links in the writing of this integrator: \n", + "Writing custom integrators: https://github.com/choderalab/openmm-tutorials/blob/master/02%20-%20Integrators%20and%20sampling.ipynb\n", + "AMD integrator: https://github.com/openmm/openmm/blob/master/wrappers/python/openmm/amd.py\n", + "GAMD from Miao lab: https://github.com/MiaoLab20/gamd-openmm\n", + "'''\n", + "\n", + "class GAMDLangevinIntegrator(CustomIntegrator):\n", + " \"\"\"GAMDLangevinIntegrator implements the aMD integration algorithm.\n", + " The system is integrated based on a modified potential. Whenever the energy V(r) is less than a\n", + " cutoff value E, the following effective potential is used:\n", + " V*(r) = V(r) + ((k/2)*(E-V(r))**2)\n", + " \"\"\"\n", + "\n", + " def __init__(self, dt, E, k, temperature=300*kelvin, collision_rate=1.0/picosecond):\n", + " \"\"\"Create an GAMDLangevinIntegrator.\n", + " Parameters\n", + " ----------\n", + " dt : time\n", + " The integration time step to use\n", + " k : energy\n", + " The k parameter to use\n", + " E : energy\n", + " The energy cutoff to use\n", + " temperature : temperature\n", + " temperature of the system\n", + " collision rate : collision rate\n", + " Collision for the thermostat to update on\n", + " \"\"\"\n", + " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", + " CustomIntegrator.__init__(self, dt)\n", + " # aMD boost parameters\n", + " self.addGlobalVariable(\"k\", k)\n", + " self.addGlobalVariable(\"E\", E)\n", + " self.addPerDofVariable(\"oldx\", 0)\n", + " self.addGlobalVariable(\"deltaV\", 0)\n", + " self.addGlobalVariable(\"V0\", 0)\n", + " self.addPerDofVariable(\"sigma\", 0)\n", + " self.addUpdateContextState();\n", + " \n", + " # Comment out old AMD method - verlet I believe\n", + " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " # self.addComputePerDof(\"oldx\", \"x\")\n", + " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", + " # self.addConstrainPositions()\n", + " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", + "\n", + " # new variables for Langevin kernel\n", + " self.addGlobalVariable('kT', kB * temperature)\n", + " self.addComputePerDof(\"sigma\", \"sqrt(kT/m)\")\n", + " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", + " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", + "\n", + " #before position restraints\n", + " #self.addPerDofVariable(\"oldx\", 0)\n", + "\n", + " # Compute steps for Langevin - attempt at VRORV splitting?\n", + " # Original Langevin line in AMDIntegrator - replace this with GAMD\n", + " # self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + "\n", + " # The below dof_string lines are comments on how to modify fprime (thinking out loud basically)\n", + " # dof_string = \"modify=step(E-energy);\" # this is defining the scaling\n", + " # dof_string+= \"v + (dt / 2) * fprime/m;\" # standard v updating for VRORV (I think)\n", + " # dof_string+=\"fprime=f*((1-modify) + modify*(1-(k*E-energy)));\" # the right hand addition is the secret amd sauce\n", + "\n", + " # Put the above together into a single new -line for computing v\n", + " self.addComputePerDof(\"v\", \"v + (dt/2) * fprime/m; fprime=f*((1-modify) + modify*(1-k*(E-energy))); modify=step(E-energy)\")\n", + "\n", + " # now langevin like normal\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx)/(dt / 2)\")\n", + " self.addComputePerDof(\"v\", \"(a * v) + (b * sigma * gaussian)\")\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx) / (dt / 2)\")\n", + " # Update v with the same as the first line above\n", + " # comment out old line from AMDIntegrator attempt\n", + " #self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " self.addComputePerDof(\"v\", \"v + (dt/2) * fprime/m; fprime=f*((1-modify) + modify*(1-k*(E-energy))); modify=step(E-energy)\")\n", + " # compute the V and deltaV values\n", + " self.addComputeGlobal(\"V0\", \"energy\")\n", + " #self.addComputeGlobal(\"deltaV\",\"modify*(E-energy)^2/(alpha+E-energy); modify=step(E-energy)\")\n", + " self.addComputeGlobal(\"deltaV\",\"modify*((k / 2 * (E-energy)^2)); modify=step(E-energy)\")\n", + " self.addConstrainVelocities()\n", + "\n", + "\n", + "\n", + "\n", + " def getk(self):\n", + " \"\"\"Get the value of k for the integrator.\"\"\"\n", + " return self.getGlobalVariable(0)*kilojoules_per_mole\n", + "\n", + " def setk(self, k):\n", + " \"\"\"Set the value of k for the integrator.\"\"\"\n", + " self.setGlobalVariable(0, k)\n", + "\n", + " def getE(self):\n", + " \"\"\"Get the energy threshold E for the integrator.\"\"\"\n", + " return self.getGlobalVariable(1)*kilojoules_per_mole\n", + "\n", + " def setE(self, E):\n", + " \"\"\"Set the energy threshold E for the integrator.\"\"\"\n", + " self.setGlobalVariable(1, E)\n", + "\n", + " def getEffectiveEnergy(self, energy):\n", + " \"\"\"Given the actual potential energy of the system, return the value of the effective potential.\"\"\"\n", + " k = self.getk()\n", + " E = self.getE()\n", + " if not is_quantity(energy):\n", + " energy = energy*kilojoules_per_mole # Assume kJ/mole\n", + " if (energy > E):\n", + " return energy*kilojoules_per_mole # Assume kJ/mole\n", + " boost = (0.5 * k * (E-energy)*(E-energy)) / kilojoules_per_mole / kilojoules_per_mole\n", + " return energy + boost #energy+(E-energy)*(E-energy)/(alpha+E-energy)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The recommended way to estimate starting parameters for GAMD is to run a \\\n", + "Langevin simulation and compute from there. \\\n", + "We will load in a sample log file to do just that" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "# load in and estimate Gamd parameters from langevin simualtion\n", + "#import pandas as pd \n", + "\n", + "table_vals = pd.read_csv(\"./log.gamd-start-sample\")\n", + "energies = table_vals[\"Potential Energy (kJ/mole)\"].values" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Vmax: -794737.8288112064,\n", + "Vmin: -801890.7367725638,\n", + "Vavg: -798419.040535957,\n", + "Vstd: 904.4602237453533\n" + ] + } + ], + "source": [ + "#potential energy statistics:\n", + "Vmax = energies.max()\n", + "Vmin = energies.min()\n", + "Vavg = energies.mean()\n", + "Vstd = np.std(energies)\n", + "print(f'Vmax: {Vmax},\\nVmin: {Vmin},\\nVavg: {Vavg},\\nVstd: {Vstd}')" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sigma0: 24.943387854459722\n" + ] + } + ], + "source": [ + "#set the desired maximum standard deviation of the boost potential to be 10kT: \n", + "sigma_0 = (MOLAR_GAS_CONSTANT_R * sim_temp ).value_in_unit(kilojoule_per_mole) * 10\n", + "print(f'Sigma0: {sigma_0}')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "k_0: 0.053586798075978985,\n", + "k: 7.4916101766546405e-06\n" + ] + } + ], + "source": [ + "# define k_0 and k\n", + "k_0 = min(1, sigma_0/Vstd * ((Vmax-Vmin)/(Vmax-Vavg)))\n", + "k = k_0 * (1 / (Vmax - Vmin) )\n", + "print(f'k_0: {k_0},\\nk: {k}')" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# defintion of gamd_integrator\n", + "gamd_integrator = GAMDLangevinIntegrator(dt=time_step,\n", + " k=k_0,\n", + " E=Vmax,\n", + " temperature=300*kelvin,\n", + " collision_rate=1.0/picosecond)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# We have the integrator, now lets run the simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "gamd_simulation = Simulation(pdb.topology, system, gamd_integrator, platform)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's say you wanted to track the boost potential applied at each frame.\\\n", + "From this set of boosts you can reconstruct the effective FES explored.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# setup reporters\n", + "gamd_simulation.reporters.append(DCDReporter(current_file+''+ '.dcd', restart_freq))\n", + "gamd_simulation.reporters.append(CheckpointReporter(current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", + "gamd_simulation.reporters.append(StateDataReporter(open('log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))\n", + "\n", + "# minimize\n", + "gamd_simulation.context.setPositions(pdb.positions)\n", + "gamd_simulation.minimizeEnergy()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "with open(\"./GAMD-deltaV-vals-init.dat\", \"a\") as f:\n", + " for i in range(100):\n", + " gamd_simulation.step(10)\n", + " n_steps = str(gamd_simulation.context.getStepCount())\n", + " deltaV_val = str(gamd_integrator.getGlobalVariable(2))\n", + " v0 = str(gamd_integrator.getGlobalVariable(3))\n", + " d1, d2 = cvforce.getCollectiveVariableValues(gamd_simulation.context)\n", + " f.write(\"%s %s %s %s %s \\n\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "openmm", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.16" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 297be358bd488f338efb6011f6f389eae870d426 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Fri, 21 Apr 2023 13:50:40 -0400 Subject: [PATCH 07/26] Add sample log file for GAMD --- .../log.gamd-start-sample | 112101 +++++++++++++++ 1 file changed, 112101 insertions(+) create mode 100644 notebooks/cookbook/Enhanced sampling methods/log.gamd-start-sample diff --git a/notebooks/cookbook/Enhanced sampling methods/log.gamd-start-sample b/notebooks/cookbook/Enhanced sampling methods/log.gamd-start-sample new file mode 100644 index 0000000..4c61b44 --- /dev/null +++ b/notebooks/cookbook/Enhanced sampling methods/log.gamd-start-sample @@ -0,0 +1,112101 @@ +#"Step","Potential Energy (kJ/mole)","Kinetic Energy (kJ/mole)","Total Energy (kJ/mole)","Temperature (K)","Box Volume (nm^3)","Density (g/mL)","Speed (ns/day)" +1,-799566.3738296796,148405.80013819813,-651160.5736914815,294.84881161978655,599.0736280885353,1.00846656851428,0 +2,-799422.697498939,148252.33001927755,-651170.3674796615,294.54390115037944,599.0736280885353,1.00846656851428,0.443 +3,-799443.4397870973,148277.0424444192,-651166.397342678,294.5929991585332,599.0736280885353,1.00846656851428,0.865 +4,-799530.141558358,148321.73339207,-651208.4081662879,294.68178997932813,599.0736280885353,1.00846656851428,1.27 +5,-799445.1219169223,148299.52027804122,-651145.601638881,294.63765753795684,599.0736280885353,1.00846656851428,1.65 +6,-799201.3450024216,147996.81425745346,-651204.5307449682,294.0362490326468,599.0736280885353,1.00846656851428,2.02 +7,-799088.6647303291,147844.87105013352,-651243.7936801956,293.7343721917803,599.0736280885353,1.00846656851428,2.36 +8,-799241.0697780149,148044.3254531324,-651196.7443248825,294.13064304940036,599.0736280885353,1.00846656851428,2.69 +9,-799472.5705256737,148244.81711010638,-651227.7534155673,294.5289746964345,599.0736280885353,1.00846656851428,3.02 +10,-799520.333810484,148299.42106053955,-651220.9127499445,294.6374604151865,599.0736280885353,1.00846656851428,1.23 +11,-799411.7973717633,148179.4632908589,-651232.3340809044,294.39913141590233,599.0736280885353,1.00846656851428,1.35 +12,-799440.4012478804,148264.43746879697,-651175.9637790835,294.56795591844923,599.0736280885353,1.00846656851428,1.47 +13,-799664.5537388036,148554.7465868527,-651109.8071519509,295.1447345779182,599.0736280885353,1.00846656851428,1.6 +14,-799845.7520041736,148673.8637231211,-651171.8882810525,295.3813934284455,599.0736280885353,1.00846656851428,1.72 +15,-799778.1779006049,148594.39713954585,-651183.780761059,295.223511272163,599.0736280885353,1.00846656851428,1.84 +16,-799606.7844862356,148416.40196812857,-651190.3825181071,294.8698750617347,599.0736280885353,1.00846656851428,1.96 +17,-799547.6090432871,148366.5080627917,-651181.1009804955,294.7707471389584,599.0736280885353,1.00846656851428,2.07 +18,-799548.4684592229,148293.0782996737,-651255.3901595492,294.62485878167934,599.0736280885353,1.00846656851428,2.18 +19,-799407.1442252109,148253.94314140524,-651153.2010838056,294.5471060597691,599.0736280885353,1.00846656851428,2.3 +20,-799177.6334649478,148057.87402790124,-651119.7594370466,294.1575610079035,599.0736280885353,1.00846656851428,1.52 +21,-799099.7846049601,147930.33714826877,-651169.4474566914,293.90417402867274,599.0736280885353,1.00846656851428,1.58 +22,-799245.0016559428,148120.80465554714,-651124.1970003956,294.28258995393253,599.0736280885353,1.00846656851428,1.65 +23,-799460.7396018556,148316.5729361793,-651144.1666656763,294.6715373188164,599.0736280885353,1.00846656851428,1.72 +24,-799631.3348252447,148550.30150372972,-651081.033321515,295.1359032015492,599.0736280885353,1.00846656851428,1.79 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+112096,-798580.2101619807,150140.06381149424,-648440.1463504864,298.2944019041997,594.3619880075219,1.0164609079916458,3.19 +112097,-798346.6351776323,149803.9274317273,-648542.707745905,297.62657482450214,594.3619880075219,1.0164609079916458,3.19 +112098,-798440.2022223235,149940.33297234363,-648499.8692499798,297.8975818303714,594.3619880075219,1.0164609079916458,3.19 +112099,-798789.4641247606,150278.86936170646,-648510.5947630542,298.57017718716156,594.3619880075219,1.0164609079916458,3.19 +112100,-798967.8153028721,150386.05710425228,-648581.7581986198,298.78313502627844,594.3619880075219,1.0164609079916458,3.19 From 055771bab046cc1d9f1e72918a259fe963d61747 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Mon, 24 Apr 2023 10:53:39 -0400 Subject: [PATCH 08/26] Add metadynamics example --- .../Metadynamics.ipynb | 439 + .../meta-start-sample.dat | 359538 +++++++++++++++ 2 files changed, 359977 insertions(+) create mode 100644 notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb create mode 100644 notebooks/cookbook/Enhanced sampling methods/meta-start-sample.dat diff --git a/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb b/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb new file mode 100644 index 0000000..fb6eaa0 --- /dev/null +++ b/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb @@ -0,0 +1,439 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Imports and settings" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "from openmm.app import *\n", + "from openmm import * \n", + "from openmm.unit import *\n", + "from openmmtools import forces\n", + "import mdtraj as md\n", + "import numpy as np\n", + "import parmed as pmd\n", + "import bz2\n", + "import os\n", + "from openmm import CustomIntegrator\n", + "from openmm.unit import kilojoules_per_mole, is_quantity\n", + "from openmm.unit import *\n", + "import numpy as np\n", + "import pandas as pd \n", + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function for creating RMSD restraints \n", + "def create_rmsd_restraint(positions, atom_indicies):\n", + " rmsd_cv = RMSDForce(positions, atom_indicies)\n", + " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", + " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", + " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", + " restraint_force = CustomCVForce(energy_expression) \n", + " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", + " return restraint_force \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function to list force groups and modify system context \n", + "def forcegroupify(system): \n", + " forcegroups = {} \n", + " for i in range(system.getNumForces()): \n", + " force = system.getForce(i) \n", + " force.setForceGroup(i) \n", + " forcegroups[force] = i \n", + " return forcegroups" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Set up simulation + state" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "sim_temp = 300.0 * kelvin\n", + "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", + "time_step = 0.002 * picosecond \n", + "nb_cutoff = 10.0 * angstrom \n", + "box_padding = 12.0 * angstrom\n", + "salt_conc = 0.15 * molar\n", + "receptor_path=\"../villin.pdb\"\n", + "current_file=\"villin-solvated\"\n", + "# Misc parameters \n", + "restraint_distance = 0.0 * angstroms \n", + "restart_freq = 10\n", + "log_freq = 1 \n", + "prd_steps = 100 " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## Load an already solvated PDB file and set up the system + state\n", + "pdb = PDBFile(receptor_path)\n", + "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", + "system = omm_forcefield.createSystem(pdb.topology, \n", + " nonbondedMethod=PME, \n", + " nonbondedCutoff=nb_cutoff, \n", + " constraints=HBonds, \n", + " rigidWater=True,\n", + " hydrogenMass=H_mass)\n", + "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Identify and setup `CVForce`sets" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "prot_top = md.Topology.from_openmm(pdb.topology)\n", + "# find two atoms and save their inds\n", + "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", + "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", + "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "# Let's define a torsion we will use later\n", + "phe_chi = [72, 74, 76, 79]" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Let's load in D1 and D2 from an existing langevin dynamics log and decide on parameters" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "columts = ['step', 'd1', 'd2', 'NaN']\n", + "cv_eq = pd.read_csv(\"./meta-start-sample.dat\",\n", + " delimiter=\" \",\n", + " names=columts)\n", + "\n", + "d1_eq = cv_eq['d1'].values\n", + "d2_eq = cv_eq['d2'].values" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.hist(d1_eq)\n", + "print(\"average: %s \\n error %s\" % (np.mean(d1_eq), np.std(d1_eq)))\n", + "print(\"error value should thus be %s\" % (np.std(d1_eq) / 2))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plt.hist(d2_eq)\n", + "print(\"average: %s \\n error %s\" % (np.mean(d2_eq), np.std(d2_eq)))\n", + "print(\"error value should thus be %s\" % (np.std(d2_eq) / 2))" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setup a fresh MetaD simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "# Define BiasVariables - Note that I've set the distances to be \"Periodic=True\"\n", + "# This allows us to use Mixed periodic and Non-periodic variables\n", + "chi = CustomTorsionForce('theta')\n", + "chi.addTorsion(phe_chi[0], phe_chi[1], phe_chi[2], phe_chi[3])\n", + "chi_bias = BiasVariable(chi, -np.pi, np.pi, 0.35, True, 181)\n", + "\n", + "# Periodic dists\n", + "d1 = CustomBondForce('r')\n", + "d1.addBond(d1_atom1_ind, d1_atom2_ind)\n", + "d1_bias = BiasVariable(d1, 0.3, 5.0, 0.05, True)\n", + "\n", + "d2=CustomBondForce('r')\n", + "d2.addBond(d1_atom1_ind, d2_atom2_ind)\n", + "d2_bias = BiasVariable(d2, 0.3, 5.0, 0.05, True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "# the meta object\n", + "meta = Metadynamics(system, [d1_bias, d2_bias], 300, \n", + " biasFactor=5, height=1, frequency=1, \n", + " saveFrequency=10, \n", + " biasDir=\"./\")" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "#Define an integrator\n", + "integrator = LangevinIntegrator(sim_temp, 1.0/picosecond, time_step)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "# SEtup platform\n", + "platform = openmm.Platform.getPlatformByName('OpenCL')\n", + "platform.setPropertyDefaultValue('Precision', 'mixed')\n", + "simulation = Simulation(pdb.topology, system, integrator, platform)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "current_file = \"test-meta\"\n", + "simulation.reporters.append(DCDReporter('./'+current_file+''+ '.dcd', restart_freq))\n", + "simulation.reporters.append(CheckpointReporter('./'+current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", + "simulation.reporters.append(StateDataReporter(open('./log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " initial : -115004.63008636737 kJ/mol\n", + " final : -145453.11768340121 kJ/mol\n" + ] + } + ], + "source": [ + "simulation.context.setPositions(pdb.positions)\n", + "print(' initial : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))\n", + "simulation.minimizeEnergy()\n", + "print(' final : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-6.65667027e-04 -1.10146234e-03 -1.75080448e-03 ... -2.15525171e-04\n", + " -3.86455797e-04 -6.65667027e-04]\n", + " [-1.31279319e-03 -2.17224603e-03 -3.45284511e-03 ... -4.25047136e-04\n", + " -7.62147466e-04 -1.31279319e-03]\n", + " [-2.48707995e-03 -4.11530976e-03 -6.54139992e-03 ... -8.05249289e-04\n", + " -1.44388416e-03 -2.48707995e-03]\n", + " ...\n", + " [-1.51719351e-04 -2.51046061e-04 -3.99044411e-04 ... -4.91227057e-05\n", + " -8.80813440e-05 -1.51719351e-04]\n", + " [-3.24243988e-04 -5.36518193e-04 -8.52810153e-04 ... -1.04981569e-04\n", + " -1.88241251e-04 -3.24243988e-04]\n", + " [-6.65667027e-04 -1.10146234e-03 -1.75080448e-03 ... -2.15525171e-04\n", + " -3.86455797e-04 -6.65667027e-04]] kJ/mol\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Exception ignored in: \n", + "Traceback (most recent call last):\n", + " File \"/Users/singhs15/miniconda3/envs/openmm/lib/python3.9/site-packages/openmm/app/dcdreporter.py\", line 110, in __del__\n", + " self._out.close()\n", + "AttributeError: 'DCDReporter' object has no attribute '_out'\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-1.06828420e-03 -1.76602053e-03 -2.80453097e-03 ... -3.46525792e-04\n", + " -6.20773845e-04 -1.06828420e-03]\n", + " [-2.10556557e-03 -3.48079279e-03 -5.52768291e-03 ... -6.82993570e-04\n", + " -1.22353083e-03 -2.10556557e-03]\n", + " [-3.98664220e-03 -6.59048103e-03 -1.04660431e-02 ... -1.29316576e-03\n", + " -2.31661015e-03 -3.98664220e-03]\n", + " ...\n", + " [-2.43776869e-04 -4.02995791e-04 -6.39976573e-04 ... -7.90757112e-05\n", + " -1.41657648e-04 -2.43776869e-04]\n", + " [-5.20668586e-04 -8.60735781e-04 -1.36689101e-03 ... -1.68892770e-04\n", + " -3.02557862e-04 -5.20668586e-04]\n", + " [-1.06828420e-03 -1.76602053e-03 -2.80453097e-03 ... -3.46525792e-04\n", + " -6.20773845e-04 -1.06828420e-03]] kJ/mol\n", + "[[-0.00140648 -0.00232536 -0.00369321 ... -0.00045613 -0.00081721\n", + " -0.00140648]\n", + " [-0.0027639 -0.00456961 -0.00725758 ... -0.00089635 -0.00160591\n", + " -0.0027639 ]\n", + " [-0.00521773 -0.00862655 -0.01370089 ... -0.00169214 -0.00303167\n", + " -0.00521773]\n", + " ...\n", + " [-0.00032289 -0.00053385 -0.00084788 ... -0.00010472 -0.00018761\n", + " -0.00032289]\n", + " [-0.00068756 -0.00113677 -0.00180545 ... -0.00022298 -0.00039949\n", + " -0.00068756]\n", + " [-0.00140648 -0.00232536 -0.00369321 ... -0.00045613 -0.00081721\n", + " -0.00140648]] kJ/mol\n", + "[[-0.00178281 -0.00294689 -0.00467929 ... -0.00057843 -0.0010361\n", + " -0.00178281]\n", + " [-0.00348162 -0.00575499 -0.00913826 ... -0.0011296 -0.00202337\n", + " -0.00348162]\n", + " [-0.0065327 -0.0107984 -0.01714675 ... -0.00211948 -0.00379649\n", + " -0.0065327 ]\n", + " ...\n", + " [-0.00041463 -0.00068535 -0.00108823 ... -0.00013453 -0.00024097\n", + " -0.00041463]\n", + " [-0.00087713 -0.00144984 -0.00230214 ... -0.00028459 -0.00050976\n", + " -0.00087713]\n", + " [-0.00178281 -0.00294689 -0.00467929 ... -0.00057843 -0.0010361\n", + " -0.00178281]] kJ/mol\n", + "[[-0.00228377 -0.00376964 -0.00597733 ... -0.00074309 -0.00132913\n", + " -0.00228377]\n", + " [-0.00441433 -0.00728686 -0.01155516 ... -0.00143613 -0.00256892\n", + " -0.00441433]\n", + " [-0.00820102 -0.0135385 -0.02147007 ... -0.00266773 -0.00477227\n", + " -0.00820102]\n", + " ...\n", + " [-0.00054277 -0.00089579 -0.00142022 ... -0.00017666 -0.00031593\n", + " -0.00054277]\n", + " [-0.00113563 -0.00187437 -0.00297189 ... -0.00036956 -0.00066097\n", + " -0.00113563]\n", + " [-0.00228377 -0.00376964 -0.00597733 ... -0.00074309 -0.00132913\n", + " -0.00228377]] kJ/mol\n", + "Done with simulation.\n" + ] + } + ], + "source": [ + "steps=5\n", + "with open(\"./try3-cv-tracker.dat\", \"a\") as f:\n", + " for i in range(steps):\n", + " meta.step(simulation, steps=10)\n", + " n_steps = str(simulation.context.getStepCount())\n", + " d1,d2 =meta._force.getCollectiveVariableValues(simulation.context)\n", + " f.write(\"%s %s %s \\n\" % (n_steps, str(d1), str(d2)))\n", + " meta._syncWithDisk()\n", + " print(meta.getFreeEnergy())\n", + "print(\"Done with simulation.\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "openmm", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.16" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/notebooks/cookbook/Enhanced sampling methods/meta-start-sample.dat b/notebooks/cookbook/Enhanced sampling methods/meta-start-sample.dat new file mode 100644 index 0000000..1af43d3 --- /dev/null +++ b/notebooks/cookbook/Enhanced sampling methods/meta-start-sample.dat @@ -0,0 +1,359538 @@ +10 0.513737678527832 1.3279361724853516 +20 0.5068344473838806 1.3349238634109497 +30 0.5103034973144531 1.3368093967437744 +40 0.5227952003479004 1.348402738571167 +50 0.5094425678253174 1.3388131856918335 +60 0.5089605450630188 1.3311302661895752 +70 0.5048574805259705 1.347503662109375 +80 0.5044500231742859 1.341339111328125 +90 0.501163125038147 1.3331012725830078 +100 0.503013014793396 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1.5607976913452148 +3595140 0.4072706699371338 1.5709409713745117 +3595150 0.40236613154411316 1.5707978010177612 +3595160 0.39948850870132446 1.5752654075622559 +3595170 0.3948468565940857 1.5671107769012451 +3595180 0.3939208686351776 1.5577231645584106 +3595190 0.37538954615592957 1.5586379766464233 +3595200 0.38578370213508606 1.551497459411621 +3595210 0.3716075122356415 1.5194183588027954 +3595220 0.379353404045105 1.5119905471801758 +3595230 0.3720775544643402 1.5080022811889648 +3595240 0.3686758577823639 1.5009735822677612 +3595250 0.36759206652641296 1.497816562652588 +3595260 0.3549829125404358 1.473141074180603 +3595270 0.3526970446109772 1.4613285064697266 +3595280 0.3649131953716278 1.4800734519958496 +3595290 0.37349623441696167 1.4761173725128174 +3595300 0.39208149909973145 1.4848318099975586 +3595310 0.40615788102149963 1.4959144592285156 +3595320 0.4115365743637085 1.5003306865692139 +3595330 0.41360536217689514 1.496812343597412 +3595340 0.42402100563049316 1.4929311275482178 +3595350 0.4142056107521057 1.485041856765747 +3595360 0.3838376998901367 1.4678930044174194 +3595370 0.400096595287323 1.4744548797607422 +3595380 0.4046311378479004 1.4680930376052856 From 6ffde6bba94a59530524be6fbaf8b946c3565071 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Mon, 24 Apr 2023 11:06:21 -0400 Subject: [PATCH 09/26] Add umbrella sampling example --- .../Umbrella sampling MD.ipynb | 436 ++++++++++++++++++ 1 file changed, 436 insertions(+) create mode 100644 notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb diff --git a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb new file mode 100644 index 0000000..2fc74aa --- /dev/null +++ b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb @@ -0,0 +1,436 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Imports and settings" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning: importing 'simtk.openmm' is deprecated. Import 'openmm' instead.\n" + ] + } + ], + "source": [ + "from openmm.app import *\n", + "from openmm import * \n", + "from openmm.unit import *\n", + "from openmmtools import forces\n", + "import mdtraj as md\n", + "import numpy as np\n", + "import parmed as pmd\n", + "import bz2\n", + "import os\n", + "from openmm import CustomIntegrator\n", + "from openmm.unit import kilojoules_per_mole, is_quantity\n", + "from openmm.unit import *\n", + "import numpy as np\n", + "import pandas as pd \n", + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function for creating RMSD restraints \n", + "def create_rmsd_restraint(positions, atom_indicies):\n", + " rmsd_cv = RMSDForce(positions, atom_indicies)\n", + " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", + " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", + " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", + " restraint_force = CustomCVForce(energy_expression) \n", + " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", + " return restraint_force \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# define a function to list force groups and modify system context \n", + "def forcegroupify(system): \n", + " forcegroups = {} \n", + " for i in range(system.getNumForces()): \n", + " force = system.getForce(i) \n", + " force.setForceGroup(i) \n", + " forcegroups[force] = i \n", + " return forcegroups" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Create system + CV Forces with harmonic restraints" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "sim_temp = 300.0 * kelvin\n", + "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", + "time_step = 0.002 * picosecond \n", + "nb_cutoff = 10.0 * angstrom \n", + "box_padding = 12.0 * angstrom\n", + "salt_conc = 0.15 * molar\n", + "receptor_path=\"../villin.pdb\"\n", + "current_file=\"villin-solvated\"\n", + "# Misc parameters \n", + "restraint_distance = 0.0 * angstroms \n", + "restart_freq = 10\n", + "log_freq = 1 \n", + "prd_steps = 100 " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## Load an already solvated PDB file and set up the system + state\n", + "pdb = PDBFile(receptor_path)\n", + "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", + "system = omm_forcefield.createSystem(pdb.topology, \n", + " nonbondedMethod=PME, \n", + " nonbondedCutoff=nb_cutoff, \n", + " constraints=HBonds, \n", + " rigidWater=True,\n", + " hydrogenMass=H_mass)\n", + "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "prot_top = md.Topology.from_openmm(pdb.topology)\n", + "# find three atoms and save their inds - these will be used to define distances\n", + "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", + "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", + "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Add Harmonica functions to CV bonds\n", + "bias_d1 = CustomBondForce(\"0.5*k*(r-r0_d1)^2\")\n", + "bias_d1.addGlobalParameter(\"k\", 1.0)\n", + "bias_d1.addGlobalParameter(\"r0_d1\", 0.3)\n", + "\n", + "bias_d2 = CustomBondForce(\"0.5*k*(r-r0_d2)^2\")\n", + "bias_d2.addGlobalParameter(\"k\", 1.0)\n", + "bias_d2.addGlobalParameter(\"r0_d2\", 0.3)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Add forces to the system\n", + "bias_d1.addBond(d1_atom1_ind, d1_atom2_ind)\n", + "bias_d2.addBond(d1_atom1_ind, d2_atom2_ind)\n", + "\n", + "system.addForce(bias_d1)\n", + "system.addForce(bias_d2)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Define an integrator where the harmonic boost potential applied is written out as a global variable" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "kB = BOLTZMANN_CONSTANT_kB * AVOGADRO_CONSTANT_NA\n", + "\n", + "'''\n", + "Useful links in the writing of this integrator: \n", + "Writing custom integrators: https://github.com/choderalab/openmm-tutorials/blob/master/02%20-%20Integrators%20and%20sampling.ipynb\n", + "AMD integrator: https://github.com/openmm/openmm/blob/master/wrappers/python/openmm/amd.py\n", + "'''\n", + "\n", + "class LangevinEqIntegrator(CustomIntegrator):\n", + " \"\"\"LangevinEqIntegrator is a standard Langevin Eq. Integrator but it stores the energy\n", + " as a stored GlobalParameter for easy reporting via FAH\n", + " \"\"\"\n", + "\n", + " def __init__(self, dt, temperature=300*kelvin, collision_rate=1.0/picosecond):\n", + " \"\"\"Create an LangevinEqIntegrator.\n", + " Parameters\n", + " ----------\n", + " dt : time \n", + " The integration time step to use (simtk quantity)\n", + " temperature : temperature\n", + " temperature of the system\n", + " collision rate : collision rate\n", + " Collision for the thermostat to update on\n", + " \"\"\"\n", + " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", + " CustomIntegrator.__init__(self, dt)\n", + " # parameters\n", + " self.addPerDofVariable(\"oldx\", 0)\n", + " self.addGlobalVariable(\"V0\", 0)\n", + " self.addPerDofVariable(\"sigma\", 0)\n", + " self.addUpdateContextState();\n", + " \n", + " # Comment out old AMD method \n", + " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", + " # self.addComputePerDof(\"oldx\", \"x\")\n", + " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", + " # self.addConstrainPositions()\n", + " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", + "\n", + " # new variables for Langevin kernel\n", + " self.addGlobalVariable('kT', kB * temperature)\n", + " self.addComputePerDof(\"sigma\", \"sqrt(kT/m)\")\n", + " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", + " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", + "\n", + " #before position restraints\n", + " #self.addPerDofVariable(\"oldx\", 0)\n", + "\n", + " # Compute steps for Langevin - attempt at VRORV splitting?\n", + " self.addComputePerDof(\"v\", \"v + (dt / 2) * f/m\")\n", + " # langevin like normal\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx)/(dt / 2)\")\n", + " self.addComputePerDof(\"v\", \"(a * v) + (b * sigma * gaussian)\") # taken from openmm-tutorial on custom integrators (link 1 above)\n", + " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", + " self.addComputePerDof(\"oldx\", \"x\")\n", + " self.addConstrainPositions()\n", + " self.addComputePerDof(\"v\", \"v + (x - oldx) / (dt / 2)\")\n", + " # Use the same line as what you calculated above\n", + " self.addComputePerDof(\"v\", \"v + (dt / 2) * f/m\")\n", + " # compute the V and deltaV values\n", + " self.addComputeGlobal(\"V0\", \"energy\")\n", + " self.addConstrainVelocities()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "integrator = LangevinEqIntegrator(dt=time_step,\n", + " temperature=300*kelvin,\n", + " collision_rate=1.0/picosecond)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Create the simulation object" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "platform = Platform.getPlatformByName('OpenCL')\n", + "platform.setPropertyDefaultValue('Precision', 'mixed')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "simulation = Simulation(pdb.topology,system, integrator, platform)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "simulation.reporters.append(DCDReporter('./'+current_file+''+ '.dcd', restart_freq))\n", + "simulation.reporters.append(CheckpointReporter('./'+current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", + "simulation.reporters.append(StateDataReporter(open('./log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Set up a single simulation with one umbrella (in reality you'd do multiple of these)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "## set force constant K for the biasing potential.\n", + "## the unit here is kJ*mol^{-1}*nm^{-2}, which is the default unit used in OpenMM\n", + "K = 100\n", + "simulation.context.setParameter(\"k\", K)\n", + "\n", + "## M centers of harmonic biasing potentials\n", + "M = 20\n", + "r0_range = np.linspace(0.3, 2.0, M, endpoint = False)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "simulation.context.setParameter('r0_d1', r0_range[1])\n", + "simulation.context.setParameter('r0_d2', r0_range[2])" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " initial : -115004.21780371421 kJ/mol\n", + " final : -145473.62098196533 kJ/mol\n" + ] + } + ], + "source": [ + "simulation.context.setPositions(pdb.positions)\n", + "print(' initial : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))\n", + "simulation.minimizeEnergy()\n", + "print(' final : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(5):\n", + " simulation.step(10)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we were to do this for multiple windows, the way to do this is set up a loop over the windows, and then run the simulation for each window.\\\n", + "For each system, you'd just have to first define a set of umbrellas with something like:\n", + "\n", + "```\n", + "M = 20\n", + "r0_range = np.linspace(0.3, 2.0, M, endpoint = False)\n", + "```\n", + "Then for each new system (1 per window), you'd add it like: \n", + "```\n", + "simulation.context.setParameter('r0_d1', r0_range[m])\n", + "```" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "openmm", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.16" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 37c57b3377527a9dd02a8d6a516f3f0ae4dcebc0 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Mon, 24 Apr 2023 11:13:11 -0400 Subject: [PATCH 10/26] Updates to `cookbook.md` --- cookbook.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/cookbook.md b/cookbook.md index 51a1292..ff5fde5 100644 --- a/cookbook.md +++ b/cookbook.md @@ -26,6 +26,10 @@ notebooks/cookbook/Changing Temperature and Pressure notebooks/cookbook/Saving Systems to XML Files notebooks/cookbook/Merging Molecules notebooks/cookbook/Adding Hydrogens to Nonstandard Molecules +notebooks/cookbook/Enhanced sampling methods/Accelerated MD +notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD +notebooks/cookbook/Enhanced sampling methods/Metadynamics +notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD ::: ## Restraints, Constraints, and External Forces From 85f16565adddc69387262fed72aad4ce695f379f Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Wed, 26 Apr 2023 18:30:17 -0400 Subject: [PATCH 11/26] Cleanup of Umbrella Sampling notebook --- .../Umbrella sampling MD.ipynb | 335 +++++------------- 1 file changed, 83 insertions(+), 252 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb index 2fc74aa..91201bc 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb @@ -10,67 +10,13 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Warning: importing 'simtk.openmm' is deprecated. Import 'openmm' instead.\n" - ] - } - ], - "source": [ - "from openmm.app import *\n", - "from openmm import * \n", - "from openmm.unit import *\n", - "from openmmtools import forces\n", - "import mdtraj as md\n", - "import numpy as np\n", - "import parmed as pmd\n", - "import bz2\n", - "import os\n", - "from openmm import CustomIntegrator\n", - "from openmm.unit import kilojoules_per_mole, is_quantity\n", - "from openmm.unit import *\n", - "import numpy as np\n", - "import pandas as pd \n", - "from matplotlib import pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": 2, + "execution_count": 121, "metadata": {}, "outputs": [], "source": [ - "# define a function for creating RMSD restraints \n", - "def create_rmsd_restraint(positions, atom_indicies):\n", - " rmsd_cv = RMSDForce(positions, atom_indicies)\n", - " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", - " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", - " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", - " restraint_force = CustomCVForce(energy_expression) \n", - " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", - " return restraint_force \n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "# define a function to list force groups and modify system context \n", - "def forcegroupify(system): \n", - " forcegroups = {} \n", - " for i in range(system.getNumForces()): \n", - " force = system.getForce(i) \n", - " force.setForceGroup(i) \n", - " forcegroups[force] = i \n", - " return forcegroups" + "from openmm.app import *\n", + "from openmm import * \n", + "from openmm.unit import *" ] }, { @@ -83,70 +29,36 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 122, "metadata": {}, "outputs": [], "source": [ - "sim_temp = 300.0 * kelvin\n", - "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", - "time_step = 0.002 * picosecond \n", - "nb_cutoff = 10.0 * angstrom \n", - "box_padding = 12.0 * angstrom\n", - "salt_conc = 0.15 * molar\n", - "receptor_path=\"../villin.pdb\"\n", - "current_file=\"villin-solvated\"\n", - "# Misc parameters \n", - "restraint_distance = 0.0 * angstroms \n", - "restart_freq = 10\n", - "log_freq = 1 \n", - "prd_steps = 100 " - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "5" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "## Load an already solvated PDB file and set up the system + state\n", - "pdb = PDBFile(receptor_path)\n", + "# Load an already solvated PDB file and set up the system + state\n", + "pdb = PDBFile(\"../villin.pdb\")\n", "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", "system = omm_forcefield.createSystem(pdb.topology, \n", " nonbondedMethod=PME, \n", - " nonbondedCutoff=nb_cutoff, \n", - " constraints=HBonds, \n", + " nonbondedCutoff=10.0 * angstrom, \n", + " constraints=HBonds,\n", " rigidWater=True,\n", - " hydrogenMass=H_mass)\n", - "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" + " hydrogenMass=4.0 * amu)\n" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 123, "metadata": {}, "outputs": [], "source": [ - "prot_top = md.Topology.from_openmm(pdb.topology)\n", - "# find three atoms and save their inds - these will be used to define distances\n", - "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", - "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", - "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" + "# Define three atom indices - these will be used to define distance CVs\n", + "d1_atom1_ind = 83\n", + "d1_atom2_ind = 151\n", + "d2_atom2_ind = 254" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 124, "metadata": {}, "outputs": [ { @@ -155,45 +67,44 @@ "1" ] }, - "execution_count": 7, + "execution_count": 124, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "# Add Harmonica functions to CV bonds\n", - "bias_d1 = CustomBondForce(\"0.5*k*(r-r0_d1)^2\")\n", - "bias_d1.addGlobalParameter(\"k\", 1.0)\n", - "bias_d1.addGlobalParameter(\"r0_d1\", 0.3)\n", + "# Create Harmonic Force that operate on the CVs \n", + "bias = HarmonicBondForce()\n", + "bias.addBond(d1_atom1_ind, \n", + " d1_atom2_ind, \n", + " 0.3, \n", + " 1.0)\n", "\n", - "bias_d2 = CustomBondForce(\"0.5*k*(r-r0_d2)^2\")\n", - "bias_d2.addGlobalParameter(\"k\", 1.0)\n", - "bias_d2.addGlobalParameter(\"r0_d2\", 0.3)" + "bias.addBond(d1_atom1_ind,\n", + " d2_atom2_ind,\n", + " 0.3,\n", + " 1.0)" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 125, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "7" + "5" ] }, - "execution_count": 8, + "execution_count": 125, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "# Add forces to the system\n", - "bias_d1.addBond(d1_atom1_ind, d1_atom2_ind)\n", - "bias_d2.addBond(d1_atom1_ind, d2_atom2_ind)\n", - "\n", - "system.addForce(bias_d1)\n", - "system.addForce(bias_d2)" + "# Add force to the system\n", + "system.addForce(bias)" ] }, { @@ -201,92 +112,44 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Define an integrator where the harmonic boost potential applied is written out as a global variable" + "Ultimately we want to track the value of these distances, which we will use to create our free energy projection – let's call them D1 and D2.\\\n", + "To track D1 and D2, we could use a whole `Reporter` object to save the whole trajectory and measure it afterwards.\\\n", + "A lightweight way of doing this without the whole trajectory is to use a `customCVForce` object set to 0 (i.e. no bias). This will compute the value of a CV at each step of the simulation.\\\n", + "We then pass D1 and D2 as bondForces to the `customCVForce` object (using `r` to track their distance)" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 126, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "6" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "import numpy as np\n", - "kB = BOLTZMANN_CONSTANT_kB * AVOGADRO_CONSTANT_NA\n", - "\n", - "'''\n", - "Useful links in the writing of this integrator: \n", - "Writing custom integrators: https://github.com/choderalab/openmm-tutorials/blob/master/02%20-%20Integrators%20and%20sampling.ipynb\n", - "AMD integrator: https://github.com/openmm/openmm/blob/master/wrappers/python/openmm/amd.py\n", - "'''\n", - "\n", - "class LangevinEqIntegrator(CustomIntegrator):\n", - " \"\"\"LangevinEqIntegrator is a standard Langevin Eq. Integrator but it stores the energy\n", - " as a stored GlobalParameter for easy reporting via FAH\n", - " \"\"\"\n", - "\n", - " def __init__(self, dt, temperature=300*kelvin, collision_rate=1.0/picosecond):\n", - " \"\"\"Create an LangevinEqIntegrator.\n", - " Parameters\n", - " ----------\n", - " dt : time \n", - " The integration time step to use (simtk quantity)\n", - " temperature : temperature\n", - " temperature of the system\n", - " collision rate : collision rate\n", - " Collision for the thermostat to update on\n", - " \"\"\"\n", - " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", - " CustomIntegrator.__init__(self, dt)\n", - " # parameters\n", - " self.addPerDofVariable(\"oldx\", 0)\n", - " self.addGlobalVariable(\"V0\", 0)\n", - " self.addPerDofVariable(\"sigma\", 0)\n", - " self.addUpdateContextState();\n", - " \n", - " # Comment out old AMD method \n", - " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - " # self.addComputePerDof(\"oldx\", \"x\")\n", - " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", - " # self.addConstrainPositions()\n", - " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", - "\n", - " # new variables for Langevin kernel\n", - " self.addGlobalVariable('kT', kB * temperature)\n", - " self.addComputePerDof(\"sigma\", \"sqrt(kT/m)\")\n", - " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", - " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", + "# define a distance measurer\n", + "dist_measurer = CustomCVForce(\"0\")\n", + "# Create our two distances as separate Bond Forces and add them\n", + "# Note: If we added both D1 and D2 to the same BondForce, then doing \n", + "# dist_measurer.getCollectiveVariableValues will return only the first distance (D1)\n", + "# Hence we define them as separate BondForces\n", + "D1 = CustomBondForce(\"r\")\n", + "D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", + "D2 = CustomBondForce(\"r\")\n", + "D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", "\n", - " #before position restraints\n", - " #self.addPerDofVariable(\"oldx\", 0)\n", - "\n", - " # Compute steps for Langevin - attempt at VRORV splitting?\n", - " self.addComputePerDof(\"v\", \"v + (dt / 2) * f/m\")\n", - " # langevin like normal\n", - " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", - " self.addComputePerDof(\"oldx\", \"x\")\n", - " self.addConstrainPositions()\n", - " self.addComputePerDof(\"v\", \"v + (x - oldx)/(dt / 2)\")\n", - " self.addComputePerDof(\"v\", \"(a * v) + (b * sigma * gaussian)\") # taken from openmm-tutorial on custom integrators (link 1 above)\n", - " self.addComputePerDof(\"x\", \"x + (dt / 2)*v\")\n", - " self.addComputePerDof(\"oldx\", \"x\")\n", - " self.addConstrainPositions()\n", - " self.addComputePerDof(\"v\", \"v + (x - oldx) / (dt / 2)\")\n", - " # Use the same line as what you calculated above\n", - " self.addComputePerDof(\"v\", \"v + (dt / 2) * f/m\")\n", - " # compute the V and deltaV values\n", - " self.addComputeGlobal(\"V0\", \"energy\")\n", - " self.addConstrainVelocities()\n" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "integrator = LangevinEqIntegrator(dt=time_step,\n", - " temperature=300*kelvin,\n", - " collision_rate=1.0/picosecond)" + "# Add each BondForce as CVs into the dist_measurer\n", + "dist_measurer.addCollectiveVariable(\"D1\", D1)\n", + "dist_measurer.addCollectiveVariable(\"D2\", D2)\n", + "system.addForce(dist_measurer)" ] }, { @@ -294,37 +157,27 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Create the simulation object" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "platform = Platform.getPlatformByName('OpenCL')\n", - "platform.setPropertyDefaultValue('Precision', 'mixed')" + "# define Integrator and create the Simulation object" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 127, "metadata": {}, "outputs": [], "source": [ - "simulation = Simulation(pdb.topology,system, integrator, platform)" + "integrator = LangevinMiddleIntegrator(300*kelvin,\n", + " 1.0/picosecond,\n", + " 0.002 * picosecond)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 128, "metadata": {}, "outputs": [], "source": [ - "simulation.reporters.append(DCDReporter('./'+current_file+''+ '.dcd', restart_freq))\n", - "simulation.reporters.append(CheckpointReporter('./'+current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", - "simulation.reporters.append(StateDataReporter(open('./log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))" + "simulation = Simulation(pdb.topology,system, integrator)" ] }, { @@ -337,59 +190,37 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "## set force constant K for the biasing potential.\n", - "## the unit here is kJ*mol^{-1}*nm^{-2}, which is the default unit used in OpenMM\n", - "K = 100\n", - "simulation.context.setParameter(\"k\", K)\n", - "\n", - "## M centers of harmonic biasing potentials\n", - "M = 20\n", - "r0_range = np.linspace(0.3, 2.0, M, endpoint = False)" - ] - }, - { - "cell_type": "code", - "execution_count": 16, + "execution_count": 129, "metadata": {}, "outputs": [], "source": [ - "simulation.context.setParameter('r0_d1', r0_range[1])\n", - "simulation.context.setParameter('r0_d2', r0_range[2])" + "simulation.context.setPositions(pdb.positions)\n", + " " ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 131, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " initial : -115004.21780371421 kJ/mol\n", - " final : -145473.62098196533 kJ/mol\n" + "4050 0.4116576611995697 0.4263102114200592\n", + "4060 0.41148799657821655 0.4017527401447296\n", + "4070 0.42247557640075684 0.4031124711036682\n", + "4080 0.44210001826286316 0.40274685621261597\n", + "4090 0.4301850199699402 0.40563341975212097\n" ] } ], - "source": [ - "simulation.context.setPositions(pdb.positions)\n", - "print(' initial : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))\n", - "simulation.minimizeEnergy()\n", - "print(' final : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], "source": [ "for i in range(5):\n", - " simulation.step(10)" + " simulation.step(10)\n", + " n_steps = str(simulation.context.getStepCount())\n", + " d1,d2 = dist_measurer.getCollectiveVariableValues(simulation.context)\n", + " print(n_steps, d1, d2)" ] }, { From cfff9994a427eb183237c069aab539072d8a2271 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Wed, 26 Apr 2023 22:20:53 -0400 Subject: [PATCH 12/26] Add comments on Umbrella sampling notebook --- .../Umbrella sampling MD.ipynb | 95 +++++++++++++------ 1 file changed, 64 insertions(+), 31 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb index 91201bc..9eeaed8 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb @@ -10,12 +10,12 @@ }, { "cell_type": "code", - "execution_count": 121, + "execution_count": 154, "metadata": {}, "outputs": [], "source": [ "from openmm.app import *\n", - "from openmm import * \n", + "from openmm import *\n", "from openmm.unit import *" ] }, @@ -29,16 +29,16 @@ }, { "cell_type": "code", - "execution_count": 122, + "execution_count": 155, "metadata": {}, "outputs": [], "source": [ "# Load an already solvated PDB file and set up the system + state\n", "pdb = PDBFile(\"../villin.pdb\")\n", "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", - "system = omm_forcefield.createSystem(pdb.topology, \n", - " nonbondedMethod=PME, \n", - " nonbondedCutoff=10.0 * angstrom, \n", + "system = omm_forcefield.createSystem(pdb.topology,\n", + " nonbondedMethod=PME,\n", + " nonbondedCutoff=10.0 * angstrom,\n", " constraints=HBonds,\n", " rigidWater=True,\n", " hydrogenMass=4.0 * amu)\n" @@ -46,7 +46,7 @@ }, { "cell_type": "code", - "execution_count": 123, + "execution_count": 156, "metadata": {}, "outputs": [], "source": [ @@ -58,7 +58,7 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 157, "metadata": {}, "outputs": [ { @@ -67,7 +67,7 @@ "1" ] }, - "execution_count": 124, + "execution_count": 157, "metadata": {}, "output_type": "execute_result" } @@ -75,9 +75,9 @@ "source": [ "# Create Harmonic Force that operate on the CVs \n", "bias = HarmonicBondForce()\n", - "bias.addBond(d1_atom1_ind, \n", - " d1_atom2_ind, \n", - " 0.3, \n", + "bias.addBond(d1_atom1_ind,\n", + " d1_atom2_ind,\n", + " 0.3,\n", " 1.0)\n", "\n", "bias.addBond(d1_atom1_ind,\n", @@ -88,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 125, + "execution_count": 158, "metadata": {}, "outputs": [ { @@ -97,7 +97,7 @@ "5" ] }, - "execution_count": 125, + "execution_count": 158, "metadata": {}, "output_type": "execute_result" } @@ -120,7 +120,7 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": 159, "metadata": {}, "outputs": [ { @@ -129,7 +129,7 @@ "6" ] }, - "execution_count": 126, + "execution_count": 159, "metadata": {}, "output_type": "execute_result" } @@ -162,7 +162,7 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 160, "metadata": {}, "outputs": [], "source": [ @@ -173,7 +173,7 @@ }, { "cell_type": "code", - "execution_count": 128, + "execution_count": 161, "metadata": {}, "outputs": [], "source": [ @@ -190,28 +190,51 @@ }, { "cell_type": "code", - "execution_count": 129, + "execution_count": 162, "metadata": {}, "outputs": [], "source": [ - "simulation.context.setPositions(pdb.positions)\n", - " " + "simulation.context.setPositions(pdb.positions)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In our simulation, to generate an Free Energy Profile (or a Potential of Mean Force - PMF) we need 4 things:\n", + "1. A set of features that each biasing potential will be projected upon (D1 and D2)\n", + "2. A biasing potential that upon an specific CV value for each window (our harmonic constants)\n", + "3. The actual measured D1 and D2 values for each frame, for each window \n", + "4. For each frame, the calculated total Potential energy" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Using our `dist_measurer`, we can track D1 and D2 for each frame of the simulation.\\\n", + "For both D1 and D2, we also know the value of the biasing potential that was applied (using the constants `k` and `r0`). From this we can compute can compute the Reduced Free Energy at each frame per window.\\\n", + "By computing the Reduced Free Energy for each frame across multiple windows, we can then use \n", + "thermodynamic estimators like MBAR to compute the PMF.\n", + "For more details on this analysis, check out the PyMBAR documentation: https://pymbar.readthedocs.io/en/master/fes_with_pymbar.html" ] }, { "cell_type": "code", - "execution_count": 131, + "execution_count": 164, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "4050 0.4116576611995697 0.4263102114200592\n", - "4060 0.41148799657821655 0.4017527401447296\n", - "4070 0.42247557640075684 0.4031124711036682\n", - "4080 0.44210001826286316 0.40274685621261597\n", - "4090 0.4301850199699402 0.40563341975212097\n" + "60 -127028.98186972504 kJ/mol 0.44531336426734924 0.4284404516220093\n", + "70 -127002.45061972504 kJ/mol 0.45564672350883484 0.4295880198478699\n", + "80 -127204.38811972504 kJ/mol 0.46104344725608826 0.4328082203865051\n", + "90 -127126.54436972504 kJ/mol 0.47314080595970154 0.4301340579986572\n", + "100 -126815.85686972504 kJ/mol 0.4680291414260864 0.41703155636787415\n" ] } ], @@ -219,8 +242,17 @@ "for i in range(5):\n", " simulation.step(10)\n", " n_steps = str(simulation.context.getStepCount())\n", + " v0 = simulation.context.getState(getEnergy=True).getPotentialEnergy()\n", " d1,d2 = dist_measurer.getCollectiveVariableValues(simulation.context)\n", - " print(n_steps, d1, d2)" + " print(n_steps, v0, d1, d2)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that the above simulation is done for a _single_ window. To compute the PMF, we need to run multiple simulations, each with a different biasing potential applied (ie a different window).\\ " ] }, { @@ -228,14 +260,15 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "If we were to do this for multiple windows, the way to do this is set up a loop over the windows, and then run the simulation for each window.\\\n", - "For each system, you'd just have to first define a set of umbrellas with something like:\n", + "The easiest way to set up multiple windows, you'll just want to set up multiple `system` objects.\\\n", + "For each `system`, you'll define a set of umbrellas with something like:\n", "\n", "```\n", "M = 20\n", "r0_range = np.linspace(0.3, 2.0, M, endpoint = False)\n", "```\n", - "Then for each new system (1 per window), you'd add it like: \n", + "\n", + "Then for each new system (1 per window), you'd can define it after `context` construction: \n", "```\n", "simulation.context.setParameter('r0_d1', r0_range[m])\n", "```" From 35aeadb4e1a3b5491b181e0d98720132541a2bbc Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Wed, 26 Apr 2023 22:21:08 -0400 Subject: [PATCH 13/26] Clean up GAMD notebook --- .../Gaussian Accelerated MD.ipynb | 380 +++++++----------- 1 file changed, 140 insertions(+), 240 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb index ccb10e7..91d39db 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb @@ -10,67 +10,38 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 232, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Warning: importing 'simtk.openmm' is deprecated. Import 'openmm' instead.\n" - ] - } - ], + "outputs": [], "source": [ "from openmm.app import *\n", - "from openmm import * \n", - "from openmm.unit import *\n", - "from openmmtools import forces\n", - "import mdtraj as md\n", - "import numpy as np\n", - "import parmed as pmd\n", - "import bz2\n", - "import os\n", - "from openmm import CustomIntegrator\n", - "from openmm.unit import kilojoules_per_mole, is_quantity\n", - "from openmm.unit import *\n", - "import numpy as np\n", - "import pandas as pd \n", - "from matplotlib import pyplot as plt" + "from openmm import *\n", + "from openmm.unit import *" ] }, { - "cell_type": "code", - "execution_count": 2, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "# define a function for creating RMSD restraints \n", - "def create_rmsd_restraint(positions, atom_indicies):\n", - " rmsd_cv = RMSDForce(positions, atom_indicies)\n", - " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", - " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", - " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", - " restraint_force = CustomCVForce(energy_expression) \n", - " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", - " return restraint_force \n", - " " + "# Setup a simulation system + state + CVForces" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 233, "metadata": {}, "outputs": [], "source": [ - "# define a function to list force groups and modify system context \n", - "def forcegroupify(system): \n", - " forcegroups = {} \n", - " for i in range(system.getNumForces()): \n", - " force = system.getForce(i) \n", - " force.setForceGroup(i) \n", - " forcegroups[force] = i \n", - " return forcegroups" + "# Load an already solvated PDB file and set up the system + state\n", + "pdb = PDBFile(\"../villin.pdb\")\n", + "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", + "system = omm_forcefield.createSystem(pdb.topology,\n", + " nonbondedMethod=PME,\n", + " nonbondedCutoff=10.0 * angstrom,\n", + " constraints=HBonds,\n", + " rigidWater=True,\n", + " hydrogenMass=4.0 * amu)" ] }, { @@ -78,33 +49,36 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Setup a simulation system + state + CVForces" + "## Quickly identify a couple of atoms that we care about and set `CVForce`" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 234, "metadata": {}, "outputs": [], "source": [ - "sim_temp = 300.0 * kelvin\n", - "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", - "time_step = 0.002 * picosecond \n", - "nb_cutoff = 10.0 * angstrom \n", - "box_padding = 12.0 * angstrom\n", - "salt_conc = 0.15 * molar\n", - "receptor_path=\"../villin.pdb\"\n", - "current_file=\"villin-solvated\"\n", - "# Misc parameters \n", - "restraint_distance = 0.0 * angstroms \n", - "restart_freq = 10\n", - "log_freq = 1 \n", - "prd_steps = 100 " + "# Define three atom indices - these will be used to measure useful distances \n", + "d1_atom1_ind = 83\n", + "d1_atom2_ind = 151\n", + "d2_atom2_ind = 254" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ultimately we want to track the value of these distances (lets call them D1 and D2), \\\n", + "as a function of the free energy boost applied. \\\n", + "To track D1 and D2, we could use a whole `Reporter` object to save the whole trajectory and measure it afterwards.\\\n", + "A lightweight way of doing this without the whole trajectory is to use a `customCVForce` object set to 0 (i.e. no bias). This will compute the value of a CV at each step of the simulation.\\\n", + "We then pass D1 and D2 as bondForces to the `customCVForce` object (using `r` to track their distance)" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 235, "metadata": {}, "outputs": [ { @@ -113,22 +87,27 @@ "5" ] }, - "execution_count": 5, + "execution_count": 235, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "## Load an already solvated PDB file and set up the system + state\n", - "pdb = PDBFile(receptor_path)\n", - "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", - "system = omm_forcefield.createSystem(pdb.topology, \n", - " nonbondedMethod=PME, \n", - " nonbondedCutoff=nb_cutoff, \n", - " constraints=HBonds, \n", - " rigidWater=True,\n", - " hydrogenMass=H_mass)\n", - "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" + "# define a distance measurer\n", + "dist_measurer = CustomCVForce(\"0\")\n", + "# Create our two distances as separate Bond Forces and add them\n", + "# Note: If we added both D1 and D2 to the same BondForce, then doing \n", + "# dist_measurer.getCollectiveVariableValues will return only the first distance (D1)\n", + "# Hence we define them as separate BondForces\n", + "D1 = CustomBondForce(\"r\")\n", + "D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", + "D2 = CustomBondForce(\"r\")\n", + "D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", + "\n", + "# Add each BondForce as CVs into the dist_measurer\n", + "dist_measurer.addCollectiveVariable(\"D1\", D1)\n", + "dist_measurer.addCollectiveVariable(\"D2\", D2)\n", + "system.addForce(dist_measurer)" ] }, { @@ -136,84 +115,20 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Quickly identify a couple of atoms that we care about and set `CVForce`" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "prot_top = md.Topology.from_openmm(pdb.topology)\n", - "# find two atoms and save their inds\n", - "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", - "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", - "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "# Let's define a torsion we will use later\n", - "phe_chi = [72, 74, 76, 79]" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "# Define a way to create a basic CV force (using two distances)\n", - "def CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind):\n", - "\n", - " cvforce = CustomCVForce(\"0\")\n", - " system.addForce(cvforce)\n", - " D1 = CustomBondForce(\"r\")\n", - " D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", - " print(D1.getNumGlobalParameters())\n", - " #D1.addGlobalParameter(\"dist\", \"r\")\n", - " D2 = CustomBondForce(\"r\")\n", - " D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", - " #D2.addGlobalParameter(\"dist\", \"r\")\n", - " cvforce.addCollectiveVariable(\"D1\", D1)\n", - " cvforce.addCollectiveVariable(\"D2\", D2)\n", - " return cvforce" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "# Setup a usable platform\n", - "platform = Platform.getPlatformByName('OpenCL')\n", - "platform.setPropertyDefaultValue('Precision', 'mixed')" + "# Time to setup Gaussian Accelerated MD " ] }, { - "cell_type": "code", - "execution_count": 10, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0\n" - ] - } - ], "source": [ - "# Now let's add a couple of CVForce (with Force=0) to track distances:\n", - "forcegroups = forcegroupify(system)\n", - "cvforce = CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind)\n", - "cvforce.setForceGroup(31)" + "For Langevin-GAMD, we're effectively adding a boost potential to the simulation. \n", + "This boosted potential botential takes the form of a Gaussian \\\n", + "TODO: Add GAMD boost equation - the one below is for AMD\\\n", + "$V'(r) = V_{0}(r) + \\frac{(E-V(r))^2}{(\\alpha+E-V_0(r))}$ \n", + "where $V_0(r)$ is the initial potential energy\\\n", + "and $\\alpha$ and E are hyper parameters defining the potential.\\" ] }, { @@ -221,12 +136,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Time to setup Gaussian Accelerated MD " + "OpenMM gives us the tools to do this oursleves. \\\n", + "Let's first define a `customIntegrator` to run this:" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 236, "metadata": {}, "outputs": [], "source": [ @@ -239,6 +155,7 @@ "GAMD from Miao lab: https://github.com/MiaoLab20/gamd-openmm\n", "'''\n", "\n", + "import numpy as np\n", "class GAMDLangevinIntegrator(CustomIntegrator):\n", " \"\"\"GAMDLangevinIntegrator implements the aMD integration algorithm.\n", " The system is integrated based on a modified potential. Whenever the energy V(r) is less than a\n", @@ -261,9 +178,9 @@ " collision rate : collision rate\n", " Collision for the thermostat to update on\n", " \"\"\"\n", - " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", + " gamma = collision_rate*picoseconds # add this because SWIG \n", " CustomIntegrator.__init__(self, dt)\n", - " # aMD boost parameters\n", + " # GaMD boost parameters\n", " self.addGlobalVariable(\"k\", k)\n", " self.addGlobalVariable(\"E\", E)\n", " self.addPerDofVariable(\"oldx\", 0)\n", @@ -320,9 +237,6 @@ " self.addComputeGlobal(\"deltaV\",\"modify*((k / 2 * (E-energy)^2)); modify=step(E-energy)\")\n", " self.addConstrainVelocities()\n", "\n", - "\n", - "\n", - "\n", " def getk(self):\n", " \"\"\"Get the value of k for the integrator.\"\"\"\n", " return self.getGlobalVariable(0)*kilojoules_per_mole\n", @@ -356,97 +270,78 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The recommended way to estimate starting parameters for GAMD is to run a \\\n", - "Langevin simulation and compute from there. \\\n", - "We will load in a sample log file to do just that" + "Before running a Gaussian AMD simulation, you first need to select a strength for the boost potential. This is usually done by running a short simulation, recording the potential energy, and computing some simple statistics of it. The following are the minimum, maximum, mean, and standard deviation of the energies observed during an earlier simulation." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 237, "metadata": {}, "outputs": [], "source": [ - "# load in and estimate Gamd parameters from langevin simualtion\n", - "#import pandas as pd \n", + "#potential energy statistics:\n", + "Vmin = -118900.7367725638\n", + "Vmax = -100000.8288112064\n", + "Vavg = -115420.040535957\n", + "Vstd = 904.4602237453533" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will do the same for the maximum standard deviation of the boost potential. \\\n", + "We will use the following formula: \\\n", + "`(MOLAR_GAS_CONSTANT_R * sim_temp ).value_in_unit(kilojoule_per_mole) * 10`\n", "\n", - "table_vals = pd.read_csv(\"./log.gamd-start-sample\")\n", - "energies = table_vals[\"Potential Energy (kJ/mole)\"].values" + "As above, we drew upon a sample trajectory, took the last frame, and computed the value:" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 238, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Vmax: -794737.8288112064,\n", - "Vmin: -801890.7367725638,\n", - "Vavg: -798419.040535957,\n", - "Vstd: 904.4602237453533\n" - ] - } - ], + "outputs": [], "source": [ - "#potential energy statistics:\n", - "Vmax = energies.max()\n", - "Vmin = energies.min()\n", - "Vavg = energies.mean()\n", - "Vstd = np.std(energies)\n", - "print(f'Vmax: {Vmax},\\nVmin: {Vmin},\\nVavg: {Vavg},\\nVstd: {Vstd}')" + "sigma_0 = 2.4943387854459722" ] }, { - "cell_type": "code", - "execution_count": 14, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Sigma0: 24.943387854459722\n" - ] - } - ], "source": [ - "#set the desired maximum standard deviation of the boost potential to be 10kT: \n", - "sigma_0 = (MOLAR_GAS_CONSTANT_R * sim_temp ).value_in_unit(kilojoule_per_mole) * 10\n", - "print(f'Sigma0: {sigma_0}')\n" + "We will then define two constants $k_0$ and $k$ which are built upon all these above \\\n", + "computed values. $k_0$ and $Vmax$ are what goes into the integrator and boost. \n", + "\n", + "Note that the formula gives you an upper value of $k_0$. If you wish to use a lower value to obtain \n", + "finer-grained sampling between states, choose a lower value of $k_0$\n", + "\n", + "TODO: Add proper latex equations\\\n", + "`k_0 = min(1, sigma_0/Vstd * ((Vmax-Vmin)/(Vmax-Vavg)))`\\\n", + "`k = k_0 * (1 / (Vmax - Vmin) )`" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 239, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "k_0: 0.053586798075978985,\n", - "k: 7.4916101766546405e-06\n" - ] - } - ], + "outputs": [], "source": [ "# define k_0 and k\n", - "k_0 = min(1, sigma_0/Vstd * ((Vmax-Vmin)/(Vmax-Vavg)))\n", - "k = k_0 * (1 / (Vmax - Vmin) )\n", - "print(f'k_0: {k_0},\\nk: {k}')" + "k_0 = 0.0009512432921778509516\n", + "k = 2.8354183998193767e-05" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 240, "metadata": {}, "outputs": [], "source": [ "# defintion of gamd_integrator\n", - "gamd_integrator = GAMDLangevinIntegrator(dt=time_step,\n", + "gamd_integrator = GAMDLangevinIntegrator(dt=0.002 * picosecond,\n", " k=k_0,\n", " E=Vmax,\n", " temperature=300*kelvin,\n", @@ -463,11 +358,11 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 241, "metadata": {}, "outputs": [], "source": [ - "gamd_simulation = Simulation(pdb.topology, system, gamd_integrator, platform)" + "gamd_simulation = Simulation(pdb.topology, system, gamd_integrator)" ] }, { @@ -475,48 +370,53 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Let's say you wanted to track the boost potential applied at each frame.\\\n", - "From this set of boosts you can reconstruct the effective FES explored.\n" + "With GAMD, you want to track the boost potential applied at each frame.\\\n", + "From this set of boosts you can reconstruct the effective FES explored.\n", + "\n", + "You'll want to project the FES on some features you care about \\\n", + "(We did so with the `dist_measurer` above)" ] }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 242, "metadata": {}, "outputs": [], "source": [ - "# setup reporters\n", - "gamd_simulation.reporters.append(DCDReporter(current_file+''+ '.dcd', restart_freq))\n", - "gamd_simulation.reporters.append(CheckpointReporter(current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", - "gamd_simulation.reporters.append(StateDataReporter(open('log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))\n", - "\n", - "# minimize\n", - "gamd_simulation.context.setPositions(pdb.positions)\n", - "gamd_simulation.minimizeEnergy()" + "gamd_simulation.context.setPositions(pdb.positions)" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 243, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "10 -100771.98186972504 282.841272495641 0.4661301076412201 0.43017590045928955\n", + "20 -100615.32561972504 179.59774314456334 0.45594143867492676 0.4320942461490631\n", + "30 -100592.20061972504 166.33469501063638 0.4590217173099518 0.43697890639305115\n", + "40 -100538.45061972504 137.4723531230814 0.4406464397907257 0.431123286485672\n", + "50 -100587.13811972504 163.49903368890494 0.43526703119277954 0.4224798083305359\n", + "60 -100540.57561972504 138.56124527262602 0.4393979609012604 0.4221265912055969\n", + "70 -100561.76311972504 149.65306603729772 0.4421063959598541 0.4138357639312744\n", + "80 -100478.51311972504 108.52844047083259 0.43589234352111816 0.4157506823539734\n", + "90 -100536.91936972504 136.69037308156953 0.44068843126296997 0.4205670952796936\n", + "100 -100469.57561972504 104.50528628403931 0.44310981035232544 0.43028485774993896\n" + ] + } + ], "source": [ - "with open(\"./GAMD-deltaV-vals-init.dat\", \"a\") as f:\n", - " for i in range(100):\n", - " gamd_simulation.step(10)\n", - " n_steps = str(gamd_simulation.context.getStepCount())\n", - " deltaV_val = str(gamd_integrator.getGlobalVariable(2))\n", - " v0 = str(gamd_integrator.getGlobalVariable(3))\n", - " d1, d2 = cvforce.getCollectiveVariableValues(gamd_simulation.context)\n", - " f.write(\"%s %s %s %s %s \\n\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" + "for i in range(10):\n", + " gamd_simulation.step(10)\n", + " n_steps = str(gamd_simulation.context.getStepCount())\n", + " deltaV_val = str(gamd_integrator.getGlobalVariable(2))\n", + " v0 = str(gamd_integrator.getGlobalVariable(3))\n", + " d1, d2 = dist_measurer.getCollectiveVariableValues(gamd_simulation.context)\n", + " print(\"%s %s %s %s %s\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 3a4b5b439ea1de83cad273352f0f082d3862ffac Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 13:56:04 -0400 Subject: [PATCH 14/26] Add correct equations about GAMD integrator --- .../Gaussian Accelerated MD.ipynb | 57 ++++++++++--------- 1 file changed, 31 insertions(+), 26 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb index 91d39db..b6fa60f 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 232, + "execution_count": 244, "metadata": {}, "outputs": [], "source": [ @@ -29,7 +29,7 @@ }, { "cell_type": "code", - "execution_count": 233, + "execution_count": 245, "metadata": {}, "outputs": [], "source": [ @@ -54,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 234, + "execution_count": 246, "metadata": {}, "outputs": [], "source": [ @@ -78,7 +78,7 @@ }, { "cell_type": "code", - "execution_count": 235, + "execution_count": 247, "metadata": {}, "outputs": [ { @@ -87,7 +87,7 @@ "5" ] }, - "execution_count": 235, + "execution_count": 247, "metadata": {}, "output_type": "execute_result" } @@ -126,9 +126,10 @@ "For Langevin-GAMD, we're effectively adding a boost potential to the simulation. \n", "This boosted potential botential takes the form of a Gaussian \\\n", "TODO: Add GAMD boost equation - the one below is for AMD\\\n", - "$V'(r) = V_{0}(r) + \\frac{(E-V(r))^2}{(\\alpha+E-V_0(r))}$ \n", + "$V'(r) = \\frac{k}{2}(E-V_{0})^2$ \n", "where $V_0(r)$ is the initial potential energy\\\n", - "and $\\alpha$ and E are hyper parameters defining the potential.\\" + "and $k$ and E are hyper parameters defining the potential.\\\n", + "For more details on this check out the [GAMD paper](https://pubs.acs.org/doi/10.1021/acs.jctc.5b00436) " ] }, { @@ -137,12 +138,16 @@ "metadata": {}, "source": [ "OpenMM gives us the tools to do this oursleves. \\\n", - "Let's first define a `customIntegrator` to run this:" + "Let's first define a `customIntegrator` to run this. \\\n", + "Note that in our `customIntegrator` we are adding $V'(r)$ as a Force `fprime`.\\\n", + "To derive this yourself, remember that a Force is the derivative of Energy with respect to position:\\\n", + "$f_{prime} = - \\frac{\\delta V(r)}{\\delta r}$ and that \n", + "$V(r) = V_0 + V'(r)$" ] }, { "cell_type": "code", - "execution_count": 236, + "execution_count": 248, "metadata": {}, "outputs": [], "source": [ @@ -275,7 +280,7 @@ }, { "cell_type": "code", - "execution_count": 237, + "execution_count": 249, "metadata": {}, "outputs": [], "source": [ @@ -300,7 +305,7 @@ }, { "cell_type": "code", - "execution_count": 238, + "execution_count": 250, "metadata": {}, "outputs": [], "source": [ @@ -325,7 +330,7 @@ }, { "cell_type": "code", - "execution_count": 239, + "execution_count": 251, "metadata": {}, "outputs": [], "source": [ @@ -336,7 +341,7 @@ }, { "cell_type": "code", - "execution_count": 240, + "execution_count": 252, "metadata": {}, "outputs": [], "source": [ @@ -358,7 +363,7 @@ }, { "cell_type": "code", - "execution_count": 241, + "execution_count": 253, "metadata": {}, "outputs": [], "source": [ @@ -379,7 +384,7 @@ }, { "cell_type": "code", - "execution_count": 242, + "execution_count": 254, "metadata": {}, "outputs": [], "source": [ @@ -388,23 +393,23 @@ }, { "cell_type": "code", - "execution_count": 243, + "execution_count": 255, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "10 -100771.98186972504 282.841272495641 0.4661301076412201 0.43017590045928955\n", - "20 -100615.32561972504 179.59774314456334 0.45594143867492676 0.4320942461490631\n", - "30 -100592.20061972504 166.33469501063638 0.4590217173099518 0.43697890639305115\n", - "40 -100538.45061972504 137.4723531230814 0.4406464397907257 0.431123286485672\n", - "50 -100587.13811972504 163.49903368890494 0.43526703119277954 0.4224798083305359\n", - "60 -100540.57561972504 138.56124527262602 0.4393979609012604 0.4221265912055969\n", - "70 -100561.76311972504 149.65306603729772 0.4421063959598541 0.4138357639312744\n", - "80 -100478.51311972504 108.52844047083259 0.43589234352111816 0.4157506823539734\n", - "90 -100536.91936972504 136.69037308156953 0.44068843126296997 0.4205670952796936\n", - "100 -100469.57561972504 104.50528628403931 0.44310981035232544 0.43028485774993896\n" + "10 -100731.70061972504 254.06452716102203 0.45707252621650696 0.4162251651287079\n", + "20 -100590.60686972504 165.43935742795082 0.4482485353946686 0.41899538040161133\n", + "30 -100582.73186972504 161.05080182803525 0.45010897517204285 0.4162300229072571\n", + "40 -100545.35686972504 141.02695787738188 0.45242923498153687 0.42462775111198425\n", + "50 -100558.01311972504 147.65881072295545 0.45417848229408264 0.42642876505851746\n", + "60 -100501.51311972504 119.231106189524 0.4527316391468048 0.4199223816394806\n", + "70 -100562.23186972504 149.90328851197464 0.4449446201324463 0.412363201379776\n", + "80 -100489.70061972504 113.67150216112285 0.44379472732543945 0.41053009033203125\n", + "90 -100489.51311972504 113.58432462683605 0.4339537024497986 0.41188937425613403\n", + "100 -100547.07561972504 141.9186387391787 0.43822726607322693 0.4173385202884674\n" ] } ], From 75edb94790471252ff024fd8049cf7ca4ab1ecee Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 14:10:12 -0400 Subject: [PATCH 15/26] Additional comments and cleanup to GAMD notebook --- .../Gaussian Accelerated MD.ipynb | 101 ++++++++++-------- 1 file changed, 57 insertions(+), 44 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb index b6fa60f..ed453df 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 244, + "execution_count": 268, "metadata": {}, "outputs": [], "source": [ @@ -24,12 +24,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Setup a simulation system + state + CVForces" + "# Setup a simulation system + Restraints" ] }, { "cell_type": "code", - "execution_count": 245, + "execution_count": 269, "metadata": {}, "outputs": [], "source": [ @@ -49,12 +49,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Quickly identify a couple of atoms that we care about and set `CVForce`" + "## Use some atoms to set up Harmonic restraints" ] }, { "cell_type": "code", - "execution_count": 246, + "execution_count": 270, "metadata": {}, "outputs": [], "source": [ @@ -71,14 +71,21 @@ "source": [ "Ultimately we want to track the value of these distances (lets call them D1 and D2), \\\n", "as a function of the free energy boost applied. \\\n", - "To track D1 and D2, we could use a whole `Reporter` object to save the whole trajectory and measure it afterwards.\\\n", - "A lightweight way of doing this without the whole trajectory is to use a `customCVForce` object set to 0 (i.e. no bias). This will compute the value of a CV at each step of the simulation.\\\n", + "To track D1 and D2, we could use a whole `Reporter` object to save the whole trajectory and measure it afterwards.\\" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A lightweight way of doing this without saving the whole trajectory is to use a `customCVForce` object set to 0 (i.e. no bias). This will compute the value of a CV at each step of the simulation.\\\n", "We then pass D1 and D2 as bondForces to the `customCVForce` object (using `r` to track their distance)" ] }, { "cell_type": "code", - "execution_count": 247, + "execution_count": 271, "metadata": {}, "outputs": [ { @@ -87,7 +94,7 @@ "5" ] }, - "execution_count": 247, + "execution_count": 271, "metadata": {}, "output_type": "execute_result" } @@ -123,13 +130,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For Langevin-GAMD, we're effectively adding a boost potential to the simulation. \n", + "For Langevin-GAMD, we're adding a boost potential to the simulation. \n", "This boosted potential botential takes the form of a Gaussian \\\n", - "TODO: Add GAMD boost equation - the one below is for AMD\\\n", "$V'(r) = \\frac{k}{2}(E-V_{0})^2$ \n", "where $V_0(r)$ is the initial potential energy\\\n", "and $k$ and E are hyper parameters defining the potential.\\\n", - "For more details on this check out the [GAMD paper](https://pubs.acs.org/doi/10.1021/acs.jctc.5b00436) " + "For more details, check out the [GAMD paper](https://pubs.acs.org/doi/10.1021/acs.jctc.5b00436) " ] }, { @@ -147,7 +153,7 @@ }, { "cell_type": "code", - "execution_count": 248, + "execution_count": 272, "metadata": {}, "outputs": [], "source": [ @@ -280,7 +286,7 @@ }, { "cell_type": "code", - "execution_count": 249, + "execution_count": 273, "metadata": {}, "outputs": [], "source": [ @@ -298,14 +304,12 @@ "source": [ "We will do the same for the maximum standard deviation of the boost potential. \\\n", "We will use the following formula: \\\n", - "`(MOLAR_GAS_CONSTANT_R * sim_temp ).value_in_unit(kilojoule_per_mole) * 10`\n", - "\n", - "As above, we drew upon a sample trajectory, took the last frame, and computed the value:" + "`(MOLAR_GAS_CONSTANT_R * sim_temp ).value_in_unit(kilojoule_per_mole) * 10`" ] }, { "cell_type": "code", - "execution_count": 250, + "execution_count": 274, "metadata": {}, "outputs": [], "source": [ @@ -318,9 +322,9 @@ "metadata": {}, "source": [ "We will then define two constants $k_0$ and $k$ which are built upon all these above \\\n", - "computed values. $k_0$ and $Vmax$ are what goes into the integrator and boost. \n", + "computed values. $k_0$ and $Vmax$ are what goes into the integrator. \n", "\n", - "Note that the formula gives you an upper value of $k_0$. If you wish to use a lower value to obtain \n", + "Note that the formula gives you an upper bound for $k_0$. If you wish to use a lower value to obtain \n", "finer-grained sampling between states, choose a lower value of $k_0$\n", "\n", "TODO: Add proper latex equations\\\n", @@ -330,7 +334,7 @@ }, { "cell_type": "code", - "execution_count": 251, + "execution_count": 275, "metadata": {}, "outputs": [], "source": [ @@ -339,9 +343,17 @@ "k = 2.8354183998193767e-05" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And finally we can define the integrator:" + ] + }, { "cell_type": "code", - "execution_count": 252, + "execution_count": 276, "metadata": {}, "outputs": [], "source": [ @@ -363,7 +375,7 @@ }, { "cell_type": "code", - "execution_count": 253, + "execution_count": 277, "metadata": {}, "outputs": [], "source": [ @@ -379,41 +391,35 @@ "From this set of boosts you can reconstruct the effective FES explored.\n", "\n", "You'll want to project the FES on some features you care about \\\n", - "(We did so with the `dist_measurer` above)" + "(We did so with the `dist_measurer` above). \\\n", + "We can directly extract both the total energy (just for comparison sake), and the \\\n", + "boost potential (which is what we really care about) from the integrator directly." ] }, { "cell_type": "code", - "execution_count": 254, - "metadata": {}, - "outputs": [], - "source": [ - "gamd_simulation.context.setPositions(pdb.positions)" - ] - }, - { - "cell_type": "code", - "execution_count": 255, + "execution_count": 278, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "10 -100731.70061972504 254.06452716102203 0.45707252621650696 0.4162251651287079\n", - "20 -100590.60686972504 165.43935742795082 0.4482485353946686 0.41899538040161133\n", - "30 -100582.73186972504 161.05080182803525 0.45010897517204285 0.4162300229072571\n", - "40 -100545.35686972504 141.02695787738188 0.45242923498153687 0.42462775111198425\n", - "50 -100558.01311972504 147.65881072295545 0.45417848229408264 0.42642876505851746\n", - "60 -100501.51311972504 119.231106189524 0.4527316391468048 0.4199223816394806\n", - "70 -100562.23186972504 149.90328851197464 0.4449446201324463 0.412363201379776\n", - "80 -100489.70061972504 113.67150216112285 0.44379472732543945 0.41053009033203125\n", - "90 -100489.51311972504 113.58432462683605 0.4339537024497986 0.41188937425613403\n", - "100 -100547.07561972504 141.9186387391787 0.43822726607322693 0.4173385202884674\n" + "10 -101068.73186972504 542.4069833688806 0.4650728702545166 0.4211561977863312\n", + "20 -100625.98186972504 185.88071407656207 0.4602440893650055 0.4246651828289032\n", + "30 -100644.32561972504 196.94928399679773 0.45890623331069946 0.42319074273109436\n", + "40 -100625.29436972504 185.47210143282425 0.45469164848327637 0.42254123091697693\n", + "50 -100547.45061972504 142.11356072815153 0.45749568939208984 0.4185861051082611\n", + "60 -100500.85686972504 118.91875713550188 0.4628557562828064 0.4187903106212616\n", + "70 -100487.51311972504 112.65651177247855 0.46062958240509033 0.42376694083213806\n", + "80 -100486.01311972504 111.9631491453524 0.4494323134422302 0.41940203309059143\n", + "90 -100552.88811972504 144.9549618133298 0.43990200757980347 0.41844552755355835\n", + "100 -100564.45061972504 151.09051097196647 0.43350622057914734 0.406695693731308\n" ] } ], "source": [ + "gamd_simulation.context.setPositions(pdb.positions)\n", "for i in range(10):\n", " gamd_simulation.step(10)\n", " n_steps = str(gamd_simulation.context.getStepCount())\n", @@ -422,6 +428,13 @@ " d1, d2 = dist_measurer.getCollectiveVariableValues(gamd_simulation.context)\n", " print(\"%s %s %s %s %s\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From 51bb79b5324cda6e21a32e9c81703326fb9251b6 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 14:12:39 -0400 Subject: [PATCH 16/26] Cleanup GAMD integrator --- .../Gaussian Accelerated MD.ipynb | 72 +++++++------------ 1 file changed, 24 insertions(+), 48 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb index ed453df..38d16da 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Gaussian Accelerated MD.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 268, + "execution_count": 301, "metadata": {}, "outputs": [], "source": [ @@ -29,7 +29,7 @@ }, { "cell_type": "code", - "execution_count": 269, + "execution_count": 302, "metadata": {}, "outputs": [], "source": [ @@ -54,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 270, + "execution_count": 303, "metadata": {}, "outputs": [], "source": [ @@ -85,7 +85,7 @@ }, { "cell_type": "code", - "execution_count": 271, + "execution_count": 304, "metadata": {}, "outputs": [ { @@ -94,7 +94,7 @@ "5" ] }, - "execution_count": 271, + "execution_count": 304, "metadata": {}, "output_type": "execute_result" } @@ -153,7 +153,7 @@ }, { "cell_type": "code", - "execution_count": 272, + "execution_count": 305, "metadata": {}, "outputs": [], "source": [ @@ -199,13 +199,6 @@ " self.addGlobalVariable(\"V0\", 0)\n", " self.addPerDofVariable(\"sigma\", 0)\n", " self.addUpdateContextState();\n", - " \n", - " # Comment out old AMD method - verlet I believe\n", - " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - " # self.addComputePerDof(\"oldx\", \"x\")\n", - " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", - " # self.addConstrainPositions()\n", - " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", "\n", " # new variables for Langevin kernel\n", " self.addGlobalVariable('kT', kB * temperature)\n", @@ -213,14 +206,7 @@ " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", "\n", - " #before position restraints\n", - " #self.addPerDofVariable(\"oldx\", 0)\n", - "\n", - " # Compute steps for Langevin - attempt at VRORV splitting?\n", - " # Original Langevin line in AMDIntegrator - replace this with GAMD\n", - " # self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - "\n", - " # The below dof_string lines are comments on how to modify fprime (thinking out loud basically)\n", + " # The below dof_string lines are comments on how to modify fprime \n", " # dof_string = \"modify=step(E-energy);\" # this is defining the scaling\n", " # dof_string+= \"v + (dt / 2) * fprime/m;\" # standard v updating for VRORV (I think)\n", " # dof_string+=\"fprime=f*((1-modify) + modify*(1-(k*E-energy)));\" # the right hand addition is the secret amd sauce\n", @@ -239,12 +225,9 @@ " self.addConstrainPositions()\n", " self.addComputePerDof(\"v\", \"v + (x - oldx) / (dt / 2)\")\n", " # Update v with the same as the first line above\n", - " # comment out old line from AMDIntegrator attempt\n", - " #self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", " self.addComputePerDof(\"v\", \"v + (dt/2) * fprime/m; fprime=f*((1-modify) + modify*(1-k*(E-energy))); modify=step(E-energy)\")\n", " # compute the V and deltaV values\n", " self.addComputeGlobal(\"V0\", \"energy\")\n", - " #self.addComputeGlobal(\"deltaV\",\"modify*(E-energy)^2/(alpha+E-energy); modify=step(E-energy)\")\n", " self.addComputeGlobal(\"deltaV\",\"modify*((k / 2 * (E-energy)^2)); modify=step(E-energy)\")\n", " self.addConstrainVelocities()\n", "\n", @@ -273,7 +256,7 @@ " if (energy > E):\n", " return energy*kilojoules_per_mole # Assume kJ/mole\n", " boost = (0.5 * k * (E-energy)*(E-energy)) / kilojoules_per_mole / kilojoules_per_mole\n", - " return energy + boost #energy+(E-energy)*(E-energy)/(alpha+E-energy)" + " return energy + boost" ] }, { @@ -286,7 +269,7 @@ }, { "cell_type": "code", - "execution_count": 273, + "execution_count": 306, "metadata": {}, "outputs": [], "source": [ @@ -309,7 +292,7 @@ }, { "cell_type": "code", - "execution_count": 274, + "execution_count": 307, "metadata": {}, "outputs": [], "source": [ @@ -334,7 +317,7 @@ }, { "cell_type": "code", - "execution_count": 275, + "execution_count": 308, "metadata": {}, "outputs": [], "source": [ @@ -353,7 +336,7 @@ }, { "cell_type": "code", - "execution_count": 276, + "execution_count": 309, "metadata": {}, "outputs": [], "source": [ @@ -375,7 +358,7 @@ }, { "cell_type": "code", - "execution_count": 277, + "execution_count": 310, "metadata": {}, "outputs": [], "source": [ @@ -398,23 +381,23 @@ }, { "cell_type": "code", - "execution_count": 278, + "execution_count": 311, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "10 -101068.73186972504 542.4069833688806 0.4650728702545166 0.4211561977863312\n", - "20 -100625.98186972504 185.88071407656207 0.4602440893650055 0.4246651828289032\n", - "30 -100644.32561972504 196.94928399679773 0.45890623331069946 0.42319074273109436\n", - "40 -100625.29436972504 185.47210143282425 0.45469164848327637 0.42254123091697693\n", - "50 -100547.45061972504 142.11356072815153 0.45749568939208984 0.4185861051082611\n", - "60 -100500.85686972504 118.91875713550188 0.4628557562828064 0.4187903106212616\n", - "70 -100487.51311972504 112.65651177247855 0.46062958240509033 0.42376694083213806\n", - "80 -100486.01311972504 111.9631491453524 0.4494323134422302 0.41940203309059143\n", - "90 -100552.88811972504 144.9549618133298 0.43990200757980347 0.41844552755355835\n", - "100 -100564.45061972504 151.09051097196647 0.43350622057914734 0.406695693731308\n" + "10 -101069.82561972504 543.518622560445 0.4630526304244995 0.4219774007797241\n", + "20 -100552.38811972504 144.69250936168498 0.4657188951969147 0.4228907525539398\n", + "30 -100629.51311972504 187.98658275610902 0.4723777770996094 0.4239107072353363\n", + "40 -100561.26311972504 149.38639244354385 0.46369969844818115 0.4169570505619049\n", + "50 -100550.07561972504 143.48176017142427 0.4642026126384735 0.4190390110015869\n", + "60 -100513.38811972504 124.95391327918838 0.4538479745388031 0.4164482355117798\n", + "70 -100543.85686972504 140.25106003148287 0.45530983805656433 0.4188650846481323\n", + "80 -100590.48186972504 165.3692370567841 0.46213555335998535 0.4221442937850952\n", + "90 -100515.85686972504 126.16049705437045 0.4800657629966736 0.4258103668689728\n", + "100 -100499.82561972504 118.42875060089084 0.47587957978248596 0.42695173621177673\n" ] } ], @@ -428,13 +411,6 @@ " d1, d2 = dist_measurer.getCollectiveVariableValues(gamd_simulation.context)\n", " print(\"%s %s %s %s %s\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From e8607c8f1768a577def9896ecaae26009c76f561 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 14:23:28 -0400 Subject: [PATCH 17/26] Cleanup of AMD notebook to simplify --- .../Accelerated MD.ipynb | 280 +++++++----------- 1 file changed, 101 insertions(+), 179 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb index 23002dc..781ba17 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb @@ -9,59 +9,13 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "from openmm.app import *\n", "from openmm import * \n", - "from openmm.unit import *\n", - "from openmmtools import forces\n", - "import mdtraj as md\n", - "import numpy as np\n", - "import parmed as pmd\n", - "import bz2\n", - "import os\n", - "from openmm import CustomIntegrator\n", - "from openmm.unit import kilojoules_per_mole, is_quantity\n", - "from openmm.unit import *\n", - "import numpy as np\n", - "import pandas as pd \n", - "from matplotlib import pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": 33, - "metadata": {}, - "outputs": [], - "source": [ - "# define a function for creating RMSD restraints \n", - "def create_rmsd_restraint(positions, atom_indicies):\n", - " rmsd_cv = RMSDForce(positions, atom_indicies)\n", - " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", - " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", - " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", - " restraint_force = CustomCVForce(energy_expression) \n", - " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", - " return restraint_force \n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 34, - "metadata": {}, - "outputs": [], - "source": [ - "# define a function to list force groups and modify system context \n", - "def forcegroupify(system): \n", - " forcegroups = {} \n", - " for i in range(system.getNumForces()): \n", - " force = system.getForce(i) \n", - " force.setForceGroup(i) \n", - " forcegroups[force] = i \n", - " return forcegroups" + "from openmm.unit import *" ] }, { @@ -74,52 +28,19 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ - "sim_temp = 300.0 * kelvin\n", - "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", - "time_step = 0.002 * picosecond \n", - "nb_cutoff = 10.0 * angstrom \n", - "box_padding = 12.0 * angstrom\n", - "salt_conc = 0.15 * molar\n", - "receptor_path=\"../villin.pdb\"\n", - "current_file=\"villin-solvated\"\n", - "# Misc parameters \n", - "restraint_distance = 0.0 * angstroms \n", - "restart_freq = 10\n", - "log_freq = 1 \n", - "prd_steps = 100 " - ] - }, - { - "cell_type": "code", - "execution_count": 36, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "5" - ] - }, - "execution_count": 36, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "## Load an already solvated PDB file and set up the system + state\n", - "pdb = PDBFile(receptor_path)\n", + "# Load an already solvated PDB file and set up the system + state\n", + "pdb = PDBFile(\"../villin.pdb\")\n", "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", - "system = omm_forcefield.createSystem(pdb.topology, \n", - " nonbondedMethod=PME, \n", - " nonbondedCutoff=nb_cutoff, \n", - " constraints=HBonds, \n", + "system = omm_forcefield.createSystem(pdb.topology,\n", + " nonbondedMethod=PME,\n", + " nonbondedCutoff=10.0 * angstrom,\n", + " constraints=HBonds,\n", " rigidWater=True,\n", - " hydrogenMass=H_mass)\n", - "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" + " hydrogenMass=4.0 * amu)\n" ] }, { @@ -132,79 +53,67 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ - "prot_top = md.Topology.from_openmm(pdb.topology)\n", - "# find two atoms and save their inds\n", - "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", - "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", - "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" + "# Define three atom indices - these will be used to measure useful distances \n", + "d1_atom1_ind = 83\n", + "d1_atom2_ind = 151\n", + "d2_atom2_ind = 254" ] }, { - "cell_type": "code", - "execution_count": 38, - "metadata": {}, - "outputs": [], - "source": [ - "# Let's define a torsion we will use later\n", - "phe_chi = [72, 74, 76, 79]" - ] - }, - { - "cell_type": "code", - "execution_count": 39, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "# Define a way to create a basic CV force (using two distances)\n", - "def CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind):\n", - "\n", - " cvforce = CustomCVForce(\"0\")\n", - " system.addForce(cvforce)\n", - " D1 = CustomBondForce(\"r\")\n", - " D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", - " print(D1.getNumGlobalParameters())\n", - " #D1.addGlobalParameter(\"dist\", \"r\")\n", - " D2 = CustomBondForce(\"r\")\n", - " D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", - " #D2.addGlobalParameter(\"dist\", \"r\")\n", - " cvforce.addCollectiveVariable(\"D1\", D1)\n", - " cvforce.addCollectiveVariable(\"D2\", D2)\n", - " return cvforce" + "Ultimately we want to track the value of these distances (lets call them D1 and D2), \\\n", + "as a function of the free energy boost applied. \\\n", + "To track D1 and D2, we could use a whole `Reporter` object to save the whole trajectory and measure it afterwards.\\" ] }, { - "cell_type": "code", - "execution_count": 40, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "# Setup a reusable platform\n", - "platform = Platform.getPlatformByName('OpenCL')\n", - "platform.setPropertyDefaultValue('Precision', 'mixed')" + "A lightweight way of doing this without saving the whole trajectory is to use a `customCVForce` object set to 0 (i.e. no bias). This will compute the value of a CV at each step of the simulation.\\\n", + "We then pass D1 and D2 as bondForces to the `customCVForce` object (using `r` to track their distance)" ] }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 13, "metadata": {}, "outputs": [ { - "name": "stdout", - "output_type": "stream", - "text": [ - "0\n" - ] + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "# Now let's add a couple of CVForce (with Force=0) to track distances:\n", - "forcegroups = forcegroupify(system)\n", - "cvforce = CreateCVForce(system, d1_atom1_ind, d1_atom2_ind, d2_atom2_ind)\n", - "cvforce.setForceGroup(31)" + "# define a distance measurer\n", + "dist_measurer = CustomCVForce(\"0\")\n", + "# Create our two distances as separate Bond Forces and add them\n", + "# Note: If we added both D1 and D2 to the same BondForce, then doing \n", + "# dist_measurer.getCollectiveVariableValues will return only the first distance (D1)\n", + "# Hence we define them as separate BondForces\n", + "D1 = CustomBondForce(\"r\")\n", + "D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", + "D2 = CustomBondForce(\"r\")\n", + "D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", + "\n", + "# Add each BondForce as CVs into the dist_measurer\n", + "dist_measurer.addCollectiveVariable(\"D1\", D1)\n", + "dist_measurer.addCollectiveVariable(\"D2\", D2)\n", + "system.addForce(dist_measurer)" ] }, { @@ -212,7 +121,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Let's setup some Accelerated Molecular Dynamics with a new Langevin Integrator" + "# Time to setup Accelerated Molecular Dynamics with a Langevin Integrator" ] }, { @@ -221,7 +130,8 @@ "metadata": {}, "source": [ "To set up an Accelerated MD (AMD) simulation in OpenMM, we could use the default AMD object.\\\n", - "However this uses a Verlet integrator rather than Langevin dynamics. Luckily, OpenMM gives us the tools to write this ourselves, using the `CustomIntegrator` object! " + "However this uses a Verlet integrator rather than Langevin dynamics.\\\n", + "Luckily, OpenMM gives us the tools to write this ourselves, using the `CustomIntegrator` object! " ] }, { @@ -237,6 +147,18 @@ "For further details on values to choose, see Hamelberg et al., J. Chem. Phys. 127, 155102 (2007)." ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's first define a `customIntegrator` to run this. \\\n", + "Note that in our `customIntegrator` we are adding $V'(r)$ as a Force `fprime`.\\\n", + "To derive this yourself, remember that a Force is the derivative of Energy with respect to position:\\\n", + "$f_{prime} = - \\frac{\\delta V(r)}{\\delta r}$ and that \n", + "$V(r) = V_0 + V'(r)$" + ] + }, { "attachments": {}, "cell_type": "markdown", @@ -247,13 +169,13 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "kB = BOLTZMANN_CONSTANT_kB * AVOGADRO_CONSTANT_NA\n", "\n", - "\n", + "import numpy as np\n", "class LangevinAMDIntegrator(CustomIntegrator):\n", " \"\"\"AMDIntegrator implements the aMD integration algorithm.\n", " The system is integrated based on a modified potential. Whenever the energy V(r) is less than a\n", @@ -358,21 +280,13 @@ " return energy+(E-energy)*(E-energy)/(alpha+E-energy)\n" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And now we can just define it using (Using arbitrary numbers - you should choose your own)" - ] - }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Briefly: To choose your own E and $\\alpha$ values, the \"best practice\" is to run an Eq. MD simulation for ~10 nanoseconds, and look at the distribution of potential energy values.\\\n", - "\n", - "You'll want to set E= of the V(r) distribution and $\\alpha$ to some fraction of E.\\ \n", + "You'll want to set $E=$ of the V(r) distribution and $\\alpha$ to some fraction of E.\\\n", "Typically $\\alpha=0.2V(r)$ is a reasonable starting point " ] }, @@ -381,16 +295,16 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now let's define the integrator object:" + "Now let's define the integrator object using a $\\alpha$ and $E$ based on some previous simulations:" ] }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ - "lang_amd_integrator = LangevinAMDIntegrator(dt=time_step,\n", + "lang_amd_integrator = LangevinAMDIntegrator(dt=0.002 * picosecond,\n", " alpha=13060*kilojoules_per_mole,\n", " E=-63500*kilojoules_per_mole,\n", " temperature=300*kelvin,\n", @@ -399,11 +313,11 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ - "lang_amd_simulation = Simulation(pdb.topology, system, lang_amd_integrator, platform)" + "lang_amd_simulation = Simulation(pdb.topology, system, lang_amd_integrator)" ] }, { @@ -418,36 +332,44 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 19, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "210 -104278.91936972504 30886.954724013973 0.4700995981693268 0.42992696166038513\n", + "220 -94938.13811972504 22211.18838221216 0.4656021296977997 0.43460574746131897\n", + "230 -88238.82561972504 16191.230362558976 0.47402796149253845 0.44224298000335693\n", + "240 -83609.35686972504 12191.560882600555 0.47377175092697144 0.44409388303756714\n", + "250 -80911.45061972504 9948.939302774132 0.4839787781238556 0.4382891058921814\n", + "260 -79294.20061972504 8645.423122399434 0.47731995582580566 0.43437784910202026\n", + "270 -77868.76311972504 7527.1842441300805 0.4691621959209442 0.4249359965324402\n", + "280 -77599.20061972504 7319.341275857757 0.47239333391189575 0.42803242802619934\n", + "290 -77288.57561972504 7081.374457764361 0.4750700294971466 0.43100476264953613\n", + "300 -76686.13811972504 6624.755143759316 0.47563958168029785 0.4358246624469757\n" + ] + } + ], "source": [ - "# setup reporters\n", - "lang_amd_simulation.reporters.append(DCDReporter(current_file+''+ '.dcd', restart_freq))\n", - "lang_amd_simulation.reporters.append(CheckpointReporter(current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", - "lang_amd_simulation.reporters.append(StateDataReporter(open('log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))\n", - "\n", - "# minimize\n", + "# Now run the simulation, tracking the boost using the Integrator\n", "lang_amd_simulation.context.setPositions(pdb.positions)\n", - "lang_amd_simulation.minimizeEnergy()" + "for i in range(10):\n", + " lang_amd_simulation.step(10)\n", + " n_steps = str(lang_amd_simulation.context.getStepCount())\n", + " deltaV_val = str(lang_amd_integrator.getGlobalVariable(2))\n", + " v0 = str(lang_amd_integrator.getGlobalVariable(3))\n", + " d1, d2 = dist_measurer.getCollectiveVariableValues(lang_amd_simulation.context)\n", + " print(\"%s %s %s %s %s\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" ] }, { "cell_type": "code", - "execution_count": 46, + "execution_count": null, "metadata": {}, "outputs": [], - "source": [ - "# Now run the simulation, tracking the boost using the Integrator\n", - "with open(\"./AMD-deltaV-vals.dat\", \"a\") as f:\n", - " for i in range(2):\n", - " lang_amd_simulation.step(10)\n", - " n_steps = str(lang_amd_simulation.context.getStepCount())\n", - " deltaV_val = str(lang_amd_integrator.getGlobalVariable(2))\n", - " v0 = str(lang_amd_integrator.getGlobalVariable(3))\n", - " d1, d2 = cvforce.getCollectiveVariableValues(lang_amd_simulation.context)\n", - " f.write(\"%s %s %s %s %s \\n\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" - ] + "source": [] } ], "metadata": { @@ -466,7 +388,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.6" + "version": "3.9.16" }, "orig_nbformat": 4 }, From 38cc44a45c1bddc66439800a28b857120981a248 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 14:24:28 -0400 Subject: [PATCH 18/26] Minor edits to AMD notebook --- .../Accelerated MD.ipynb | 44 ++++++++++--------- 1 file changed, 24 insertions(+), 20 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb index 781ba17..557d91b 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb @@ -326,29 +326,40 @@ "metadata": {}, "source": [ "Let's say you wanted to track the boost potential applied at each frame.\\\n", - "From this set of boosts you can reconstruct the effective FES explored.\n", - " " + "With AMD, you want to track the boost potential applied at each frame.\\\n", + "From this set of boosts you can reconstruct the effective FES explored. " + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You'll want to project the FES on some features you care about \\\n", + "(We did so with the `dist_measurer` above). \\\n", + "We can directly extract both the total energy (just for comparison sake), and the \\\n", + "boost potential (which is what we really care about) from the integrator directly." ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "210 -104278.91936972504 30886.954724013973 0.4700995981693268 0.42992696166038513\n", - "220 -94938.13811972504 22211.18838221216 0.4656021296977997 0.43460574746131897\n", - "230 -88238.82561972504 16191.230362558976 0.47402796149253845 0.44224298000335693\n", - "240 -83609.35686972504 12191.560882600555 0.47377175092697144 0.44409388303756714\n", - "250 -80911.45061972504 9948.939302774132 0.4839787781238556 0.4382891058921814\n", - "260 -79294.20061972504 8645.423122399434 0.47731995582580566 0.43437784910202026\n", - "270 -77868.76311972504 7527.1842441300805 0.4691621959209442 0.4249359965324402\n", - "280 -77599.20061972504 7319.341275857757 0.47239333391189575 0.42803242802619934\n", - "290 -77288.57561972504 7081.374457764361 0.4750700294971466 0.43100476264953613\n", - "300 -76686.13811972504 6624.755143759316 0.47563958168029785 0.4358246624469757\n" + "310 -103921.07561972504 30550.308409521294 0.4602518677711487 0.423705518245697\n", + "320 -93622.04436972504 21011.91757488488 0.4581519663333893 0.4261051118373871\n", + "330 -87140.57561972504 15228.012263970188 0.45304766297340393 0.4290147125720978\n", + "340 -82896.76311972504 11591.865095570038 0.4608275294303894 0.43354883790016174\n", + "350 -80376.13811972504 9513.72006292215 0.45592930912971497 0.4365047216415405\n", + "360 -79270.88811972504 8626.890404902884 0.45289722084999084 0.432359516620636\n", + "370 -78401.88811972504 7941.74801722889 0.4430270493030548 0.4370265007019043\n", + "380 -77786.38811972504 7463.540874716183 0.4424804747104645 0.4387146234512329\n", + "390 -77318.95061972504 7104.570373006349 0.44665107131004333 0.4458208680152893\n", + "400 -76795.82561972504 6707.3967425946685 0.4485073387622833 0.4413436949253082\n" ] } ], @@ -363,13 +374,6 @@ " d1, d2 = dist_measurer.getCollectiveVariableValues(lang_amd_simulation.context)\n", " print(\"%s %s %s %s %s\" % (n_steps, v0, deltaV_val, str(d1), str(d2)))" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From c9a86e46bdf46efe75bfdaf6e74d744fd2a612ca Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 14:26:27 -0400 Subject: [PATCH 19/26] AMD notebook integrator edits --- .../Accelerated MD.ipynb | 54 ++++++++----------- 1 file changed, 21 insertions(+), 33 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb index 557d91b..c1d3b64 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb @@ -9,7 +9,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -28,7 +28,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ @@ -53,7 +53,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -84,7 +84,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -93,7 +93,7 @@ "5" ] }, - "execution_count": 13, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -169,7 +169,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -199,7 +199,7 @@ " collision rate : collision rate\n", " Collision for the thermostat to update on\n", " \"\"\"\n", - " gamma = collision_rate*picoseconds # add this because SWIG somehow?\n", + " gamma = collision_rate*picoseconds # add this because SWIG\n", " CustomIntegrator.__init__(self, dt)\n", " # aMD boost parameters\n", " self.addGlobalVariable(\"alpha\", alpha)\n", @@ -210,27 +210,18 @@ " self.addPerDofVariable(\"sigma\", 0)\n", " self.addUpdateContextState();\n", " \n", - " # Comment out old AMD method \n", - " # self.addComputePerDof(\"v\", \"v+dt*fprime/m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", - " # self.addComputePerDof(\"oldx\", \"x\")\n", - " # self.addComputePerDof(\"x\", \"x+dt*v\")\n", - " # self.addConstrainPositions()\n", - " # self.addComputePerDof(\"v\", \"(x-oldx)/dt\")\n", - "\n", " # new variables for Langevin kernel\n", " self.addGlobalVariable('kT', kB * temperature)\n", " self.addComputePerDof(\"sigma\", \"sqrt(kT/m)\")\n", " self.addGlobalVariable(\"a\", np.exp(-1 * gamma)) #vscale?\n", " self.addGlobalVariable(\"b\", np.sqrt(1 - np.exp(-2 * gamma))) # noise-scale?\n", "\n", - " #before position restraints\n", - " #self.addPerDofVariable(\"oldx\", 0)\n", - "\n", " # Compute steps for Langevin - attempt at VRORV splitting?\n", " # The below dof_string lines are comments on how to modify fprime (thinking out loud basically)\n", " # dof_string+= \"v + (dt / 2) * fprime/m;\" # standard v updating for VRORV (I think)\n", " # dof_string+=\"fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2);\" # the right hand addition is the secret amd sauce\n", " # dof_string = \"modify=step(E-energy);\" # this is defining the modify scaling\n", + "\n", " # Put the above together into a single new -line for computing v\n", " self.addComputePerDof(\"v\", \"v + (dt / 2) * fprime / m; fprime=f*((1-modify) + modify*(alpha/(alpha+E-energy))^2); modify=step(E-energy)\")\n", " # langevin like normal\n", @@ -250,9 +241,6 @@ " self.addComputeGlobal(\"deltaV\",\"modify*(E-energy)^2/(alpha+E-energy); modify=step(E-energy)\")\n", " self.addConstrainVelocities()\n", "\n", - "\n", - "\n", - "\n", " def getAlpha(self):\n", " \"\"\"Get the value of alpha for the integrator.\"\"\"\n", " return self.getGlobalVariable(0)*kilojoules_per_mole\n", @@ -300,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 27, "metadata": {}, "outputs": [], "source": [ @@ -313,7 +301,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -343,23 +331,23 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "310 -103921.07561972504 30550.308409521294 0.4602518677711487 0.423705518245697\n", - "320 -93622.04436972504 21011.91757488488 0.4581519663333893 0.4261051118373871\n", - "330 -87140.57561972504 15228.012263970188 0.45304766297340393 0.4290147125720978\n", - "340 -82896.76311972504 11591.865095570038 0.4608275294303894 0.43354883790016174\n", - "350 -80376.13811972504 9513.72006292215 0.45592930912971497 0.4365047216415405\n", - "360 -79270.88811972504 8626.890404902884 0.45289722084999084 0.432359516620636\n", - "370 -78401.88811972504 7941.74801722889 0.4430270493030548 0.4370265007019043\n", - "380 -77786.38811972504 7463.540874716183 0.4424804747104645 0.4387146234512329\n", - "390 -77318.95061972504 7104.570373006349 0.44665107131004333 0.4458208680152893\n", - "400 -76795.82561972504 6707.3967425946685 0.4485073387622833 0.4413436949253082\n" + "10 -105376.95061972504 31921.666081284708 0.4592479467391968 0.42698609828948975\n", + "20 -95968.91936972504 23155.1888257363 0.4693585932254791 0.4319298267364502\n", + "30 -88821.95061972504 16705.799805241553 0.46689820289611816 0.43246862292289734\n", + "40 -84715.82561972504 13132.032521123332 0.4591708481311798 0.4342583417892456\n", + "50 -81850.95061972504 10721.01868945394 0.4615037143230438 0.43215373158454895\n", + "60 -79956.57561972504 9175.14567464759 0.4560432732105255 0.4356312155723572\n", + "70 -78998.51311972504 8410.938899910136 0.462199866771698 0.444046288728714\n", + "80 -78531.38811972504 8043.127945221054 0.4730907678604126 0.4438447058200836\n", + "90 -77720.45061972504 7412.678721729875 0.47484129667282104 0.4424886703491211\n", + "100 -78050.76311972504 7668.1946981427345 0.4741080105304718 0.4484359920024872\n" ] } ], From 38c55924bed346c380e9a6b6ead606a887490a78 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 14:59:32 -0400 Subject: [PATCH 20/26] Clean up metadynamics notebook --- .../Metadynamics.ipynb | 337 +++++------------- 1 file changed, 85 insertions(+), 252 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb b/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb index fb6eaa0..590b413 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb @@ -10,59 +10,13 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from openmm.app import *\n", "from openmm import * \n", - "from openmm.unit import *\n", - "from openmmtools import forces\n", - "import mdtraj as md\n", - "import numpy as np\n", - "import parmed as pmd\n", - "import bz2\n", - "import os\n", - "from openmm import CustomIntegrator\n", - "from openmm.unit import kilojoules_per_mole, is_quantity\n", - "from openmm.unit import *\n", - "import numpy as np\n", - "import pandas as pd \n", - "from matplotlib import pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "# define a function for creating RMSD restraints \n", - "def create_rmsd_restraint(positions, atom_indicies):\n", - " rmsd_cv = RMSDForce(positions, atom_indicies)\n", - " energy_expression = 'step(dRMSD) * (K_RMSD/2) * dRMSD^2; dRMSD = (RMSD-RMSD0);' \n", - " energy_expression += 'K_RMSD = %f;' % spring_constant.value_in_unit_system(md_unit_system) \n", - " energy_expression += 'RMSD0 = %f;' % restraint_distance.value_in_unit_system(md_unit_system) \n", - " restraint_force = CustomCVForce(energy_expression) \n", - " restraint_force.addCollectiveVariable('RMSD', rmsd_cv) \n", - " return restraint_force \n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [], - "source": [ - "# define a function to list force groups and modify system context \n", - "def forcegroupify(system): \n", - " forcegroups = {} \n", - " for i in range(system.getNumForces()): \n", - " force = system.getForce(i) \n", - " force.setForceGroup(i) \n", - " forcegroups[force] = i \n", - " return forcegroups" + "from openmm.unit import *" ] }, { @@ -75,7 +29,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -91,36 +45,24 @@ "restraint_distance = 0.0 * angstroms \n", "restart_freq = 10\n", "log_freq = 1 \n", - "prd_steps = 100 " + "prd_steps = 100" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 3, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "5" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ - "## Load an already solvated PDB file and set up the system + state\n", - "pdb = PDBFile(receptor_path)\n", + "# Load an already solvated PDB file and set up the system + state\n", + "pdb = PDBFile(\"../villin.pdb\")\n", "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", - "system = omm_forcefield.createSystem(pdb.topology, \n", - " nonbondedMethod=PME, \n", - " nonbondedCutoff=nb_cutoff, \n", - " constraints=HBonds, \n", + "system = omm_forcefield.createSystem(pdb.topology,\n", + " nonbondedMethod=PME,\n", + " nonbondedCutoff=10.0 * angstrom,\n", + " constraints=HBonds,\n", " rigidWater=True,\n", - " hydrogenMass=H_mass)\n", - "system.addForce(MonteCarloBarostat(1*bar, sim_temp))\n" + " hydrogenMass=4.0 * amu)" ] }, { @@ -128,30 +70,28 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Identify and setup `CVForce`sets" + "# Setup the collective variables for the metadynamics simulation" ] }, { - "cell_type": "code", - "execution_count": 23, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "prot_top = md.Topology.from_openmm(pdb.topology)\n", - "# find two atoms and save their inds\n", - "d1_atom1_ind = prot_top.select(\"residue 6 and name CZ\")[0]\n", - "d1_atom2_ind = prot_top.select(\"residue 10 and name CZ\")[0] \n", - "d2_atom2_ind = prot_top.select(\"residue 17 and name CZ\")[0]" + "For example's sake we will do the metadynamics simulation using 3 CVs. Two distances and\\\n", + "and a dihedral angle. This atom indices are defined below for this case: " ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ - "# Let's define a torsion we will use later\n", - "phe_chi = [72, 74, 76, 79]" + "# Define three atom indices - these will be used to measure useful distances \n", + "d1_atom1_ind = 83\n", + "d1_atom2_ind = 151\n", + "d2_atom2_ind = 254" ] }, { @@ -159,45 +99,28 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Let's load in D1 and D2 from an existing langevin dynamics log and decide on parameters" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "columts = ['step', 'd1', 'd2', 'NaN']\n", - "cv_eq = pd.read_csv(\"./meta-start-sample.dat\",\n", - " delimiter=\" \",\n", - " names=columts)\n", - "\n", - "d1_eq = cv_eq['d1'].values\n", - "d2_eq = cv_eq['d2'].values" + "And now we define the dihedral angle atoms for the CV:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ - "import matplotlib.pyplot as plt\n", - "plt.hist(d1_eq)\n", - "print(\"average: %s \\n error %s\" % (np.mean(d1_eq), np.std(d1_eq)))\n", - "print(\"error value should thus be %s\" % (np.std(d1_eq) / 2))" + "# Let's define a torsion we will use later\n", + "phe_chi = [72, 74, 76, 79]" ] }, { - "cell_type": "code", - "execution_count": null, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "plt.hist(d2_eq)\n", - "print(\"average: %s \\n error %s\" % (np.mean(d2_eq), np.std(d2_eq)))\n", - "print(\"error value should thus be %s\" % (np.std(d2_eq) / 2))" + "Normally, to decide on the magnitude of the boosts, the \"best practice\" is to load in the\\\n", + "CVs from a previous simulation and plot a histogram of the CVs. The height of the histogram\\\n", + "is the height of the boost gaussian (used below as `height`).\\\n", + "The width at half-max of the boost is the width of the gaussian (defined in the `BiasVariable`)." ] }, { @@ -205,22 +128,25 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Setup a fresh MetaD simulation" + "For simplicity, we've analyzed and defined the boost parameters already.\\\n", + "We can define them explicitly when we define our CVs.\\\n", + "Ultimately each CV is defined as a `BiasVariable` object." ] }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Define BiasVariables - Note that I've set the distances to be \"Periodic=True\"\n", "# This allows us to use Mixed periodic and Non-periodic variables\n", + "from numpy import pi\n", "chi = CustomTorsionForce('theta')\n", "chi.addTorsion(phe_chi[0], phe_chi[1], phe_chi[2], phe_chi[3])\n", - "chi_bias = BiasVariable(chi, -np.pi, np.pi, 0.35, True, 181)\n", + "chi_bias = BiasVariable(chi, -pi, pi, 0.35, True, 181)\n", "\n", - "# Periodic dists\n", + "# Distance variables\n", "d1 = CustomBondForce('r')\n", "d1.addBond(d1_atom1_ind, d1_atom2_ind)\n", "d1_bias = BiasVariable(d1, 0.3, 5.0, 0.05, True)\n", @@ -231,187 +157,94 @@ ] }, { - "cell_type": "code", - "execution_count": 26, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "# the meta object\n", - "meta = Metadynamics(system, [d1_bias, d2_bias], 300, \n", - " biasFactor=5, height=1, frequency=1, \n", - " saveFrequency=10, \n", - " biasDir=\"./\")" + "# Setup a fresh MetaD simulation" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We define the Metadynamics simulation object below. Note that our step frequency \n", + "here is *incredibly small* and should be set at *much higher* values.\\\n", + "You should set frequency high enough that it will have time to diffuse away from the last Gaussian before adding another one.\n" ] }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ - "#Define an integrator\n", - "integrator = LangevinIntegrator(sim_temp, 1.0/picosecond, time_step)" + "# the meta object\n", + "meta = Metadynamics(system, [d1_bias, d2_bias, chi_bias], 300, \n", + " biasFactor=5, height=1, frequency=10, \n", + " saveFrequency=10,\n", + " biasDir=\"./\")" ] }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ - "# SEtup platform\n", - "platform = openmm.Platform.getPlatformByName('OpenCL')\n", - "platform.setPropertyDefaultValue('Precision', 'mixed')\n", - "simulation = Simulation(pdb.topology, system, integrator, platform)" + "#Define an integrator\n", + "integrator = LangevinMiddleIntegrator(300*kelvin, 1.0/picosecond, 0.002*picosecond)" ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ - "current_file = \"test-meta\"\n", - "simulation.reporters.append(DCDReporter('./'+current_file+''+ '.dcd', restart_freq))\n", - "simulation.reporters.append(CheckpointReporter('./'+current_file+''+ '.chk', min(prd_steps, 10*restart_freq)))\n", - "simulation.reporters.append(StateDataReporter(open('./log.' + current_file+'', 'w'), log_freq, step=True, potentialEnergy=True, kineticEnergy=True, totalEnergy=True, temperature=True, volume=True, density=True, speed=True))\n" + "simulation = Simulation(pdb.topology, system, integrator)" ] }, { - "cell_type": "code", - "execution_count": 31, + "attachments": {}, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " initial : -115004.63008636737 kJ/mol\n", - " final : -145453.11768340121 kJ/mol\n" - ] - } - ], "source": [ - "simulation.context.setPositions(pdb.positions)\n", - "print(' initial : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))\n", - "simulation.minimizeEnergy()\n", - "print(' final : %s' % (simulation.context.getState(getEnergy=True).getPotentialEnergy()))" + "When running the situation, aside from using a `reporter` to save the trajectory, we can\\\n", + "also use the `meta` object to extract the CV values directly. We can then print those out\\\n", + "and plot them to see how the simulation is progressing.\n", + "\n", + "Separately, the `saveFrequency` defined in the `meta` object defines how often the\\\n", + "biases are saved to disk. This is useful if you want to stop the simulation. You can\\\n", + "then load the biases back in and continue the simulation.\n", + "\n", + "You can also use `meta.getFreeEnergy()` to generate a matrix of the FES as metadynamics\\\n", + "is running." ] }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[[-6.65667027e-04 -1.10146234e-03 -1.75080448e-03 ... -2.15525171e-04\n", - " -3.86455797e-04 -6.65667027e-04]\n", - " [-1.31279319e-03 -2.17224603e-03 -3.45284511e-03 ... -4.25047136e-04\n", - " -7.62147466e-04 -1.31279319e-03]\n", - " [-2.48707995e-03 -4.11530976e-03 -6.54139992e-03 ... -8.05249289e-04\n", - " -1.44388416e-03 -2.48707995e-03]\n", - " ...\n", - " [-1.51719351e-04 -2.51046061e-04 -3.99044411e-04 ... -4.91227057e-05\n", - " -8.80813440e-05 -1.51719351e-04]\n", - " [-3.24243988e-04 -5.36518193e-04 -8.52810153e-04 ... -1.04981569e-04\n", - " -1.88241251e-04 -3.24243988e-04]\n", - " [-6.65667027e-04 -1.10146234e-03 -1.75080448e-03 ... -2.15525171e-04\n", - " -3.86455797e-04 -6.65667027e-04]] kJ/mol\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Exception ignored in: \n", - "Traceback (most recent call last):\n", - " File \"/Users/singhs15/miniconda3/envs/openmm/lib/python3.9/site-packages/openmm/app/dcdreporter.py\", line 110, in __del__\n", - " self._out.close()\n", - "AttributeError: 'DCDReporter' object has no attribute '_out'\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[-1.06828420e-03 -1.76602053e-03 -2.80453097e-03 ... -3.46525792e-04\n", - " -6.20773845e-04 -1.06828420e-03]\n", - " [-2.10556557e-03 -3.48079279e-03 -5.52768291e-03 ... -6.82993570e-04\n", - " -1.22353083e-03 -2.10556557e-03]\n", - " [-3.98664220e-03 -6.59048103e-03 -1.04660431e-02 ... -1.29316576e-03\n", - " -2.31661015e-03 -3.98664220e-03]\n", - " ...\n", - " [-2.43776869e-04 -4.02995791e-04 -6.39976573e-04 ... -7.90757112e-05\n", - " -1.41657648e-04 -2.43776869e-04]\n", - " [-5.20668586e-04 -8.60735781e-04 -1.36689101e-03 ... -1.68892770e-04\n", - " -3.02557862e-04 -5.20668586e-04]\n", - " [-1.06828420e-03 -1.76602053e-03 -2.80453097e-03 ... -3.46525792e-04\n", - " -6.20773845e-04 -1.06828420e-03]] kJ/mol\n", - "[[-0.00140648 -0.00232536 -0.00369321 ... -0.00045613 -0.00081721\n", - " -0.00140648]\n", - " [-0.0027639 -0.00456961 -0.00725758 ... -0.00089635 -0.00160591\n", - " -0.0027639 ]\n", - " [-0.00521773 -0.00862655 -0.01370089 ... -0.00169214 -0.00303167\n", - " -0.00521773]\n", - " ...\n", - " [-0.00032289 -0.00053385 -0.00084788 ... -0.00010472 -0.00018761\n", - " -0.00032289]\n", - " [-0.00068756 -0.00113677 -0.00180545 ... -0.00022298 -0.00039949\n", - " -0.00068756]\n", - " [-0.00140648 -0.00232536 -0.00369321 ... -0.00045613 -0.00081721\n", - " -0.00140648]] kJ/mol\n", - "[[-0.00178281 -0.00294689 -0.00467929 ... -0.00057843 -0.0010361\n", - " -0.00178281]\n", - " [-0.00348162 -0.00575499 -0.00913826 ... -0.0011296 -0.00202337\n", - " -0.00348162]\n", - " [-0.0065327 -0.0107984 -0.01714675 ... -0.00211948 -0.00379649\n", - " -0.0065327 ]\n", - " ...\n", - " [-0.00041463 -0.00068535 -0.00108823 ... -0.00013453 -0.00024097\n", - " -0.00041463]\n", - " [-0.00087713 -0.00144984 -0.00230214 ... -0.00028459 -0.00050976\n", - " -0.00087713]\n", - " [-0.00178281 -0.00294689 -0.00467929 ... -0.00057843 -0.0010361\n", - " -0.00178281]] kJ/mol\n", - "[[-0.00228377 -0.00376964 -0.00597733 ... -0.00074309 -0.00132913\n", - " -0.00228377]\n", - " [-0.00441433 -0.00728686 -0.01155516 ... -0.00143613 -0.00256892\n", - " -0.00441433]\n", - " [-0.00820102 -0.0135385 -0.02147007 ... -0.00266773 -0.00477227\n", - " -0.00820102]\n", - " ...\n", - " [-0.00054277 -0.00089579 -0.00142022 ... -0.00017666 -0.00031593\n", - " -0.00054277]\n", - " [-0.00113563 -0.00187437 -0.00297189 ... -0.00036956 -0.00066097\n", - " -0.00113563]\n", - " [-0.00228377 -0.00376964 -0.00597733 ... -0.00074309 -0.00132913\n", - " -0.00228377]] kJ/mol\n", - "Done with simulation.\n" + "10 0.45591458678245544 0.42221570014953613 -3.1110520362854004 \n", + "\n" ] } ], "source": [ - "steps=5\n", - "with open(\"./try3-cv-tracker.dat\", \"a\") as f:\n", - " for i in range(steps):\n", - " meta.step(simulation, steps=10)\n", - " n_steps = str(simulation.context.getStepCount())\n", - " d1,d2 =meta._force.getCollectiveVariableValues(simulation.context)\n", - " f.write(\"%s %s %s \\n\" % (n_steps, str(d1), str(d2)))\n", - " meta._syncWithDisk()\n", - " print(meta.getFreeEnergy())\n", - "print(\"Done with simulation.\")" + "simulation.context.setPositions(pdb.positions)\n", + "for i in range(5):\n", + " meta.step(simulation, steps=10)\n", + " n_steps = str(simulation.context.getStepCount())\n", + " d1,d2,chi1 =meta._force.getCollectiveVariableValues(simulation.context)\n", + " print(\"%s %s %s %s \\n\" % (n_steps, str(d1), str(d2), str(chi1)))" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 0e9be60670f41061f74c6139a72d7d877968fad1 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 15:46:56 -0400 Subject: [PATCH 21/26] Remove useless cell in Metadynamics notebook --- .../Metadynamics.ipynb | 37 ++++--------------- 1 file changed, 8 insertions(+), 29 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb b/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb index 590b413..3a72199 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Metadynamics.ipynb @@ -32,27 +32,6 @@ "execution_count": 2, "metadata": {}, "outputs": [], - "source": [ - "sim_temp = 300.0 * kelvin\n", - "H_mass = 4.0 * amu #Might need to be tuned to 3.5 amu \n", - "time_step = 0.002 * picosecond \n", - "nb_cutoff = 10.0 * angstrom \n", - "box_padding = 12.0 * angstrom\n", - "salt_conc = 0.15 * molar\n", - "receptor_path=\"../villin.pdb\"\n", - "current_file=\"villin-solvated\"\n", - "# Misc parameters \n", - "restraint_distance = 0.0 * angstroms \n", - "restart_freq = 10\n", - "log_freq = 1 \n", - "prd_steps = 100" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], "source": [ "# Load an already solvated PDB file and set up the system + state\n", "pdb = PDBFile(\"../villin.pdb\")\n", @@ -84,7 +63,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -104,7 +83,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -135,7 +114,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -176,7 +155,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -189,7 +168,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -199,7 +178,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -225,14 +204,14 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "10 0.45591458678245544 0.42221570014953613 -3.1110520362854004 \n", + "10 0.4549024701118469 0.42023974657058716 -3.10306978225708 \n", "\n" ] } From eba8cadacce971a30f5c6fd4bf6f7cb8b8fc1b8b Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 15:52:57 -0400 Subject: [PATCH 22/26] Fix minor typo in Umbrella sampling notebook --- .../Enhanced sampling methods/Umbrella sampling MD.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb index 9eeaed8..0e0c8bd 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb @@ -215,7 +215,7 @@ "metadata": {}, "source": [ "Using our `dist_measurer`, we can track D1 and D2 for each frame of the simulation.\\\n", - "For both D1 and D2, we also know the value of the biasing potential that was applied (using the constants `k` and `r0`). From this we can compute can compute the Reduced Free Energy at each frame per window.\\\n", + "For both D1 and D2, we also know the value of the biasing potential that was applied (using the constants `k` and `r0`). From this we can compute the Reduced Free Energy at each frame per window.\\\n", "By computing the Reduced Free Energy for each frame across multiple windows, we can then use \n", "thermodynamic estimators like MBAR to compute the PMF.\n", "For more details on this analysis, check out the PyMBAR documentation: https://pymbar.readthedocs.io/en/master/fes_with_pymbar.html" From e91edc51931a6b429670b1fcf4c4cf5c71b403d8 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Thu, 27 Apr 2023 15:57:54 -0400 Subject: [PATCH 23/26] Minor language fixes (AMD and Umbrella notebooks) --- .../Accelerated MD.ipynb | 19 ++++++++++--------- .../Umbrella sampling MD.ipynb | 2 +- 2 files changed, 11 insertions(+), 10 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb index c1d3b64..218e84f 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Accelerated MD.ipynb @@ -48,7 +48,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Quickly identify a couple of atoms that we care about and set `CVForce`" + "## Set important distances to track during AMD (usefulf for analysis)" ] }, { @@ -121,7 +121,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Time to setup Accelerated Molecular Dynamics with a Langevin Integrator" + "# Setup Accelerated Molecular Dynamics with a Langevin Integrator" ] }, { @@ -273,7 +273,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Briefly: To choose your own E and $\\alpha$ values, the \"best practice\" is to run an Eq. MD simulation for ~10 nanoseconds, and look at the distribution of potential energy values.\\\n", + "To choose your own E and $\\alpha$ values, the \"best practice\" is to run an Eq. MD simulation\\\n", + "for ~10 nanoseconds, and look at the distribution of potential energy values.\\\n", "You'll want to set $E=$ of the V(r) distribution and $\\alpha$ to some fraction of E.\\\n", "Typically $\\alpha=0.2V(r)$ is a reasonable starting point " ] @@ -283,7 +284,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now let's define the integrator object using a $\\alpha$ and $E$ based on some previous simulations:" + "Now let's define the integrator object using an $\\alpha$ and $E$ based on some previous simulations:" ] }, { @@ -313,9 +314,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Let's say you wanted to track the boost potential applied at each frame.\\\n", "With AMD, you want to track the boost potential applied at each frame.\\\n", - "From this set of boosts you can reconstruct the effective FES explored. " + "From this set of boosts you can reconstruct the effective FES explored." ] }, { @@ -324,9 +324,10 @@ "metadata": {}, "source": [ "You'll want to project the FES on some features you care about \\\n", - "(We did so with the `dist_measurer` above). \\\n", - "We can directly extract both the total energy (just for comparison sake), and the \\\n", - "boost potential (which is what we really care about) from the integrator directly." + "(We defined ours so with the `dist_measurer` above). \\\n", + "We can directly extract both the total energy (for comparison sake), and the \\\n", + "boost potential (which is what we really care about) from the integrator directly.\\\n", + "We can also extract our CVs directly thanks to the `dist_measurer` and print them all out." ] }, { diff --git a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb index 0e0c8bd..dfa2322 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb @@ -252,7 +252,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Note that the above simulation is done for a _single_ window. To compute the PMF, we need to run multiple simulations, each with a different biasing potential applied (ie a different window).\\ " + "Note that the above simulation is done for a _single_ window. To compute the PMF, we need to run multiple simulations, each with a different biasing potential applied (ie a different window)." ] }, { From ad28f5af360dd82a6d7fe232555ea30bfbca0254 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Fri, 6 Oct 2023 16:30:13 -0400 Subject: [PATCH 24/26] Document/comment on umbrella sampling book --- .../Umbrella sampling MD.ipynb | 193 ++++++++++++------ 1 file changed, 133 insertions(+), 60 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb index dfa2322..44d17b0 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb @@ -1,22 +1,35 @@ { "cells": [ { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "# Imports and settings" + "# Umbrella sampling in Molecular dynamics to enhance conformational sampling" ] }, { - "cell_type": "code", - "execution_count": 154, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "from openmm.app import *\n", - "from openmm import *\n", - "from openmm.unit import *" + "Sometimes we want to ensure sampling of a particular region of phase space. For example, we may want to sample the transition state of a reaction, or the folded state of a protein. Other times, we may struggle to sample a particular region of phase space, and want to enhance sampling there. Umbrella sampling is a technique that can be used to achieve both of these goals." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Briefly, umbrella sampling works by adding a harmonic biasing potential to the potential energy of the system, tethering the bias to a \"point\" in phase space. We implement this \"point\" using some known order parameter that is \"useful\" to our context (as we will show below). \n", + "\n", + "For example, if we want to sample a loop motion in a protein, we might use define some distances as our CVs, and then set up a biasing potential centered on some specific pair of distances. \n", + "\n", + "The biasing potential is essentially a \"spring\" (a harmonic potential) based on the distance CVs, and is high (\"pulling harder\") when the distances are far away from our desired Point, and lower as we approach the center. This \"pulling\" is what biases the system to sample the region of phase space around the Point. The harmonic nature of this potential is what makes it an \"umbrella\" sampling potential, because it's an umbrella centered around a point of interest." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this notebook, we will implement umbrella sampling in a 2D protein. We will also show how to quickly track the progress of the simulation as time progresses with a single umbrella. Other analysis methods will be briefly discussed but are implemented elsewhere [TODO: add link to an example elsewhere]." ] }, { @@ -24,15 +37,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Create system + CV Forces with harmonic restraints" + "Okay first let's import basic libraries and set up our system" ] }, { "cell_type": "code", - "execution_count": 155, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ + "from openmm.app import *\n", + "from openmm import *\n", + "from openmm.unit import *\n", + "\n", "# Load an already solvated PDB file and set up the system + state\n", "pdb = PDBFile(\"../villin.pdb\")\n", "omm_forcefield = ForceField(\"amber/ff14SB.xml\", \"amber14/tip3p.xml\")\n", @@ -44,9 +61,17 @@ " hydrogenMass=4.0 * amu)\n" ] }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Okay now let's define our CVs. We will use the distances between the alpha carbons of three residues as our CVs (forming a triangle). First let's define the relevant atom indices (these are system specific, so you will need to change them for your system)." + ] + }, { "cell_type": "code", - "execution_count": 156, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -56,9 +81,31 @@ "d2_atom2_ind = 254" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now it's time to actually add the harmonic potential to our system. We will use the `HarmonicBondForce` class to do this. This class allows us to define a Harmonic bond that will be represent our biasing potential. The `HarmonicBondForce` defines a harmonic potential based on the distances between the alpha carbons of the three residues we defined above." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It's worth noting that in our `addBond` definition, we are defining the center point of our harmonic potential (ie a distance between the alpha carbons) as 0.3 - this is simply defined for our current system of example, but should change depending on your system of interest. This will result in our simulation to be biased to sample around this center-distance (0.3)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we wanted to bias the system to a different point, we would simply change the `center` argument to the desired distance.\n", + "We are also defining a potential \"strength\" of 1.0 (again, system specific), which is the spring constant of the harmonic potential. This is the \"strength\" of the biasing potential, and will determine how strongly the system is biased to sample around the center point." + ] + }, { "cell_type": "code", - "execution_count": 157, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -67,7 +114,7 @@ "1" ] }, - "execution_count": 157, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -75,20 +122,30 @@ "source": [ "# Create Harmonic Force that operate on the CVs \n", "bias = HarmonicBondForce()\n", + "\n", + "# Add the first distance - we'll call it D1\n", "bias.addBond(d1_atom1_ind,\n", " d1_atom2_ind,\n", - " 0.3,\n", - " 1.0)\n", + " 0.3, # Equilibrium distance and center of the umbrella\n", + " 1.0 )# Force constant\n", "\n", + "# Add the second distance - we'll call it D2\n", "bias.addBond(d1_atom1_ind,\n", " d2_atom2_ind,\n", - " 0.3,\n", - " 1.0)" + " 0.3, # Equilibrium distance and center of the umbrella\n", + " 1.0) # Force constant" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then we add the `bias` that we created to the system." ] }, { "cell_type": "code", - "execution_count": 158, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -97,7 +154,7 @@ "5" ] }, - "execution_count": 158, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -108,19 +165,44 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "Ultimately we want to track the value of these distances, which we will use to create our free energy projection – let's call them D1 and D2.\\\n", - "To track D1 and D2, we could use a whole `Reporter` object to save the whole trajectory and measure it afterwards.\\\n", - "A lightweight way of doing this without the whole trajectory is to use a `customCVForce` object set to 0 (i.e. no bias). This will compute the value of a CV at each step of the simulation.\\\n", - "We then pass D1 and D2 as bondForces to the `customCVForce` object (using `r` to track their distance)" + "It is also useful for us to be able to track these distances as we run the simulation. To track D1 and D2, we could use a whole `Reporter` object to save the whole trajectory and measure it afterwards.\n", + "\n", + "We can do this by creating a `CustomCVForce` that will track the distances between the alpha carbons of the three residues we defined above. This will allow us to see how the distances change as the simulation progresses.\n", + "\n", + "A lightweight way of doing this without the whole trajectory is to use a `customCVForce` object set to 0 (i.e. no bias). This will compute the value of a CV at each step of the simulation." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First we define our distance measuring variable `dist_measurer`" ] }, { "cell_type": "code", - "execution_count": 159, + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# define a distance measurer\n", + "dist_measurer = CustomCVForce(\"0\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, we will create our two distances as separate Bond Forces and add them to the system.\n", + "Note: If we added both D1 and D2 to the same BondForce, then doing `dist_measurer.getCollectiveVariableValues` will return only the first distance (D1), so we have to add them as separate `customBondForce` variables.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -129,18 +211,13 @@ "6" ] }, - "execution_count": 159, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "# define a distance measurer\n", - "dist_measurer = CustomCVForce(\"0\")\n", - "# Create our two distances as separate Bond Forces and add them\n", - "# Note: If we added both D1 and D2 to the same BondForce, then doing \n", - "# dist_measurer.getCollectiveVariableValues will return only the first distance (D1)\n", - "# Hence we define them as separate BondForces\n", + "# Define our measuring BondForces\n", "D1 = CustomBondForce(\"r\")\n", "D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", "D2 = CustomBondForce(\"r\")\n", @@ -153,16 +230,15 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ - "# define Integrator and create the Simulation object" + "Now we can run the simulation. We will use a `LangevinIntegrator` with a timestep of 2 fs, and a collision rate of 1/ps." ] }, { "cell_type": "code", - "execution_count": 160, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -173,7 +249,7 @@ }, { "cell_type": "code", - "execution_count": 161, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -185,56 +261,47 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Set up a single simulation with one umbrella (in reality you'd do multiple of these)\n" + "Alright - we now have our `simulation` object, which contains our single umbrella. We can now run the simulation and see how the distances change over time." ] }, { - "cell_type": "code", - "execution_count": 162, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "simulation.context.setPositions(pdb.positions)" + "First we set our initial positions:" ] }, { - "attachments": {}, - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 9, "metadata": {}, + "outputs": [], "source": [ - "In our simulation, to generate an Free Energy Profile (or a Potential of Mean Force - PMF) we need 4 things:\n", - "1. A set of features that each biasing potential will be projected upon (D1 and D2)\n", - "2. A biasing potential that upon an specific CV value for each window (our harmonic constants)\n", - "3. The actual measured D1 and D2 values for each frame, for each window \n", - "4. For each frame, the calculated total Potential energy" + "simulation.context.setPositions(pdb.positions)" ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Using our `dist_measurer`, we can track D1 and D2 for each frame of the simulation.\\\n", - "For both D1 and D2, we also know the value of the biasing potential that was applied (using the constants `k` and `r0`). From this we can compute the Reduced Free Energy at each frame per window.\\\n", - "By computing the Reduced Free Energy for each frame across multiple windows, we can then use \n", - "thermodynamic estimators like MBAR to compute the PMF.\n", - "For more details on this analysis, check out the PyMBAR documentation: https://pymbar.readthedocs.io/en/master/fes_with_pymbar.html" + "For both D1 and D2, we also know the value of the biasing potential that was applied (using the constants `k` and `r0`). From this we can compute the Reduced Free Energy at each frame per window.\\" ] }, { "cell_type": "code", - "execution_count": 164, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "60 -127028.98186972504 kJ/mol 0.44531336426734924 0.4284404516220093\n", - "70 -127002.45061972504 kJ/mol 0.45564672350883484 0.4295880198478699\n", - "80 -127204.38811972504 kJ/mol 0.46104344725608826 0.4328082203865051\n", - "90 -127126.54436972504 kJ/mol 0.47314080595970154 0.4301340579986572\n", - "100 -126815.85686972504 kJ/mol 0.4680291414260864 0.41703155636787415\n" + "10 -125075.91936972504 kJ/mol 0.4543943703174591 0.4209526777267456\n", + "20 -125568.32561972504 kJ/mol 0.4560399055480957 0.41610270738601685\n", + "30 -126105.88811972504 kJ/mol 0.4422377943992615 0.4061473608016968\n", + "40 -126663.73186972504 kJ/mol 0.4465791583061218 0.413379043340683\n", + "50 -126888.26311972504 kJ/mol 0.4487186670303345 0.42601025104522705\n" ] } ], @@ -252,7 +319,11 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Note that the above simulation is done for a _single_ window. To compute the PMF, we need to run multiple simulations, each with a different biasing potential applied (ie a different window)." + "Briefly, in our simulation, to generate an Free Energy Profile (or a Potential of Mean Force - PMF) we need 4 things:\n", + "1. A set of features that each biasing potential will be projected upon (D1 and D2)\n", + "2. A biasing potential that upon an specific CV value for each window (our harmonic constants)\n", + "3. The actual measured D1 and D2 values for each frame, for each window \n", + "4. For each frame, the calculated total Potential energy" ] }, { @@ -260,6 +331,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ + "Note that the above simulation is done for a _single_ window. To compute the PMF, we need to run multiple simulations, each with a different biasing potential applied (ie a different window).\n", + "\n", "The easiest way to set up multiple windows, you'll just want to set up multiple `system` objects.\\\n", "For each `system`, you'll define a set of umbrellas with something like:\n", "\n", From 7fb82726ad2f68fcafde98376b865a29853212e9 Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Fri, 6 Oct 2023 16:35:34 -0400 Subject: [PATCH 25/26] Add links to MBAR examples --- .../Enhanced sampling methods/Umbrella sampling MD.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb index 44d17b0..088644e 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb @@ -29,7 +29,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In this notebook, we will implement umbrella sampling in a 2D protein. We will also show how to quickly track the progress of the simulation as time progresses with a single umbrella. Other analysis methods will be briefly discussed but are implemented elsewhere [TODO: add link to an example elsewhere]." + "In this notebook, we will implement umbrella sampling in a 2D protein. We will also show how to quickly track the progress of the simulation as time progresses with a single umbrella. Other analysis methods will be briefly discussed but are [implemented](https://pymbar.readthedocs.io/en/master/fes_with_pymbar.html#fes-with-pymbar) [elsewhere](https://fastmbar.readthedocs.io/en/latest/butane_PMF.html)." ] }, { From cbae3ce8ef0920f38f708d7847830c3172def35b Mon Sep 17 00:00:00 2001 From: sukritsingh Date: Mon, 16 Oct 2023 17:44:53 -0400 Subject: [PATCH 26/26] umbrella sampling - simple distance printing --- .../Umbrella sampling MD.ipynb | 133 ++++++------------ 1 file changed, 45 insertions(+), 88 deletions(-) diff --git a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb index 088644e..6600db6 100644 --- a/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb +++ b/notebooks/cookbook/Enhanced sampling methods/Umbrella sampling MD.ipynb @@ -42,7 +42,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 57, "metadata": {}, "outputs": [], "source": [ @@ -71,13 +71,14 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 58, "metadata": {}, "outputs": [], "source": [ - "# Define three atom indices - these will be used to define distance CVs\n", + "# Define four atom indices - these will be used to define distance CVs\n", "d1_atom1_ind = 83\n", "d1_atom2_ind = 151\n", + "d2_atom1_ind = 83\n", "d2_atom2_ind = 254" ] }, @@ -105,7 +106,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 59, "metadata": {}, "outputs": [ { @@ -114,7 +115,7 @@ "1" ] }, - "execution_count": 3, + "execution_count": 59, "metadata": {}, "output_type": "execute_result" } @@ -145,7 +146,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 60, "metadata": {}, "outputs": [ { @@ -154,7 +155,7 @@ "5" ] }, - "execution_count": 4, + "execution_count": 60, "metadata": {}, "output_type": "execute_result" } @@ -164,71 +165,6 @@ "system.addForce(bias)" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "It is also useful for us to be able to track these distances as we run the simulation. To track D1 and D2, we could use a whole `Reporter` object to save the whole trajectory and measure it afterwards.\n", - "\n", - "We can do this by creating a `CustomCVForce` that will track the distances between the alpha carbons of the three residues we defined above. This will allow us to see how the distances change as the simulation progresses.\n", - "\n", - "A lightweight way of doing this without the whole trajectory is to use a `customCVForce` object set to 0 (i.e. no bias). This will compute the value of a CV at each step of the simulation." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "First we define our distance measuring variable `dist_measurer`" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "# define a distance measurer\n", - "dist_measurer = CustomCVForce(\"0\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next, we will create our two distances as separate Bond Forces and add them to the system.\n", - "Note: If we added both D1 and D2 to the same BondForce, then doing `dist_measurer.getCollectiveVariableValues` will return only the first distance (D1), so we have to add them as separate `customBondForce` variables.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "6" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# Define our measuring BondForces\n", - "D1 = CustomBondForce(\"r\")\n", - "D1.addBond(d1_atom2_ind, d1_atom1_ind)\n", - "D2 = CustomBondForce(\"r\")\n", - "D2.addBond(d2_atom2_ind, d1_atom1_ind)\n", - "\n", - "# Add each BondForce as CVs into the dist_measurer\n", - "dist_measurer.addCollectiveVariable(\"D1\", D1)\n", - "dist_measurer.addCollectiveVariable(\"D2\", D2)\n", - "system.addForce(dist_measurer)" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -238,7 +174,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 61, "metadata": {}, "outputs": [], "source": [ @@ -249,7 +185,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 62, "metadata": {}, "outputs": [], "source": [ @@ -264,6 +200,16 @@ "Alright - we now have our `simulation` object, which contains our single umbrella. We can now run the simulation and see how the distances change over time." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It is useful to be able to track these distances as we run the simulation.\\ To track D1 and D2, we could use a whole `Reporter` object to save the whole trajectory and measure it afterwards.\n", + "\n", + "In our case, we will track it live by simply tracking the state every `n` steps of the simulation.\n", + "We will track this `n` using the `recording_frequency` variable, and print out the values of D1 and D2 every `recording_frequency` steps." + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -273,7 +219,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 63, "metadata": {}, "outputs": [], "source": [ @@ -284,34 +230,45 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Using our `dist_measurer`, we can track D1 and D2 for each frame of the simulation.\\\n", - "For both D1 and D2, we also know the value of the biasing potential that was applied (using the constants `k` and `r0`). From this we can compute the Reduced Free Energy at each frame per window.\\" + "For both D1 and D2, we also know the value of the biasing potential that was applied (using the constants `k` and `r0`). From this we can compute the Reduced Free Energy at each frame per window.\n", + "\n", + "Note that we have here set `recording_frequency` to be every 10 steps, and our total simulation lasts 100 steps.\\\n", + "This is _incredibly_ frequent, and honestly unnecessary and inefficient. For larger datasets of larger systems, it is usually worth to sample these kinds of values between every 100 picoseconds to 1 nanosecond. " ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "10 -125075.91936972504 kJ/mol 0.4543943703174591 0.4209526777267456\n", - "20 -125568.32561972504 kJ/mol 0.4560399055480957 0.41610270738601685\n", - "30 -126105.88811972504 kJ/mol 0.4422377943992615 0.4061473608016968\n", - "40 -126663.73186972504 kJ/mol 0.4465791583061218 0.413379043340683\n", - "50 -126888.26311972504 kJ/mol 0.4487186670303345 0.42601025104522705\n" + "10 -125015.32561972504 kJ/mol 0.4559841483272196 nm 0.41995640009332197 nm\n", + "20 -125566.60686972504 kJ/mol 0.4596610267954368 nm 0.42130091281210436 nm\n", + "30 -125996.41936972504 kJ/mol 0.448091928472435 nm 0.40907275245966596 nm\n", + "40 -126575.20061972504 kJ/mol 0.451266223841282 nm 0.41691610152012887 nm\n", + "50 -126753.91936972504 kJ/mol 0.44552891148232104 nm 0.42611134470872025 nm\n", + "60 -126954.98186972504 kJ/mol 0.4461977338169795 nm 0.42951389447410804 nm\n", + "70 -127114.32561972504 kJ/mol 0.45394686580624755 nm 0.4392666442667449 nm\n", + "80 -127074.38811972504 kJ/mol 0.46161737579219086 nm 0.44696347913249496 nm\n", + "90 -126817.70061972504 kJ/mol 0.4742899827232068 nm 0.4398387987847776 nm\n", + "100 -126489.13811972504 kJ/mol 0.4687859500133253 nm 0.43901035396907867 nm\n" ] } ], "source": [ - "for i in range(5):\n", - " simulation.step(10)\n", + "recording_frequency = 10\n", + "for i in range(100):\n", + " simulation.step(1)\n", " n_steps = str(simulation.context.getStepCount())\n", " v0 = simulation.context.getState(getEnergy=True).getPotentialEnergy()\n", - " d1,d2 = dist_measurer.getCollectiveVariableValues(simulation.context)\n", - " print(n_steps, v0, d1, d2)" + " if (int(n_steps) % recording_frequency == 0):\n", + " positions = simulation.context.getState(getPositions=True).getPositions(asNumpy=True)\n", + " d1 = norm(positions[d1_atom1_ind]-positions[d1_atom2_ind])\n", + " d2 = norm(positions[d1_atom1_ind]-positions[d2_atom2_ind])\n", + " print(n_steps, v0, d1, d2)" ] }, { @@ -331,7 +288,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Note that the above simulation is done for a _single_ window. To compute the PMF, we need to run multiple simulations, each with a different biasing potential applied (ie a different window).\n", + "Note that the above simulation is done for a _single_ window. To compute the PMF, we need to run multiple simulations, each with a different biasing potential applied (ie a different window). See the [tutorial](https://openmm.github.io/openmm-cookbook/latest/notebooks/tutorials/umbrella_sampling.html#Step-3---Analysis---compute-the-PMF) page for further details! \n", "\n", "The easiest way to set up multiple windows, you'll just want to set up multiple `system` objects.\\\n", "For each `system`, you'll define a set of umbrellas with something like:\n",