spotless_24hr_R_DESeq2_full_dataset.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# RNA-Seq Analysis Training Demo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "system(\"sudo chmod -R a+rwx /usr/lib/R/library\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP 1: Library Installation\n",
    "\n",
    "First install the R packages that will be used. <strong>This installation may take around 15 minutes.</strong>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Installing package into ‘/home/jupyter/.R/library’\n",
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      "\n",
      "Loading required package: ComplexHeatmap\n",
      "\n",
      "Warning message in library(package, lib.loc = lib.loc, character.only = TRUE, logical.return = TRUE, :\n",
      "“there is no package called ‘ComplexHeatmap’”\n",
      "'getOption(\"repos\")' replaces Bioconductor standard repositories, see\n",
      "'?repositories' for details\n",
      "\n",
      "replacement repositories:\n",
      "    CRAN: https://cloud.r-project.org\n",
      "\n",
      "\n",
      "Bioconductor version 3.16 (BiocManager 1.30.19), R 4.2.2 (2022-10-31)\n",
      "\n",
      "Installing package(s) 'BiocVersion', 'ComplexHeatmap'\n",
      "\n",
      "also installing the dependencies ‘shape’, ‘rjson’, ‘BiocGenerics’, ‘S4Vectors’, ‘iterators’, ‘circlize’, ‘GetoptLong’, ‘clue’, ‘GlobalOptions’, ‘IRanges’, ‘matrixStats’, ‘foreach’, ‘doParallel’\n",
      "\n",
      "\n",
      "Installation paths not writeable, unable to update packages\n",
      "  path: /usr/lib/R/library\n",
      "  packages:\n",
      "    boot, cluster, foreign, Matrix, nlme\n",
      "  path: /usr/local/lib/R/site-library\n",
      "  packages:\n",
      "    bslib, cli, formatR, future, highr, isoband, keras, listenv, purrr,\n",
      "    tensorflow, xfun\n",
      "\n",
      "Loading required package: DESeq2\n",
      "\n",
      "Warning message in library(package, lib.loc = lib.loc, character.only = TRUE, logical.return = TRUE, :\n",
      "“there is no package called ‘DESeq2’”\n",
      "'getOption(\"repos\")' replaces Bioconductor standard repositories, see\n",
      "'?repositories' for details\n",
      "\n",
      "replacement repositories:\n",
      "    CRAN: https://cloud.r-project.org\n",
      "\n",
      "\n",
      "Bioconductor version 3.16 (BiocManager 1.30.19), R 4.2.2 (2022-10-31)\n",
      "\n",
      "Installing package(s) 'DESeq2'\n",
      "\n",
      "also installing the dependencies ‘plogr’, ‘Biostrings’, ‘GenomeInfoDbData’, ‘zlibbioc’, ‘lambda.r’, ‘futile.options’, ‘RSQLite’, ‘KEGGREST’, ‘GenomeInfoDb’, ‘XVector’, ‘MatrixGenerics’, ‘DelayedArray’, ‘futile.logger’, ‘snow’, ‘BH’, ‘annotate’, ‘AnnotationDbi’, ‘GenomicRanges’, ‘SummarizedExperiment’, ‘Biobase’, ‘BiocParallel’, ‘locfit’, ‘geneplotter’, ‘RcppArmadillo’\n",
      "\n",
      "\n",
      "Installation paths not writeable, unable to update packages\n",
      "  path: /usr/lib/R/library\n",
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      "  path: /usr/local/lib/R/site-library\n",
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      "    bslib, cli, formatR, future, highr, isoband, keras, listenv, purrr,\n",
      "    tensorflow, xfun\n",
      "\n",
      "Loading required package: EnhancedVolcano\n",
      "\n",
      "Warning message in library(package, lib.loc = lib.loc, character.only = TRUE, logical.return = TRUE, :\n",
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      "'getOption(\"repos\")' replaces Bioconductor standard repositories, see\n",
      "'?repositories' for details\n",
      "\n",
      "replacement repositories:\n",
      "    CRAN: https://cloud.r-project.org\n",
      "\n",
      "\n",
      "Bioconductor version 3.16 (BiocManager 1.30.19), R 4.2.2 (2022-10-31)\n",
      "\n",
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      "also installing the dependency ‘ggrepel’\n",
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      "Installation paths not writeable, unable to update packages\n",
      "  path: /usr/lib/R/library\n",
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      "  path: /usr/local/lib/R/site-library\n",
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      "    tensorflow, xfun\n",
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      "\n",
      "Welcome to Bioconductor\n",
      "\n",
      "    Vignettes contain introductory material; view with\n",
      "    'browseVignettes()'. To cite Bioconductor, see\n",
      "    'citation(\"Biobase\")', and for packages 'citation(\"pkgname\")'.\n",
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      "Loading required package: grid\n",
      "\n",
      "========================================\n",
      "ComplexHeatmap version 2.14.0\n",
      "Bioconductor page: http://bioconductor.org/packages/ComplexHeatmap/\n",
      "Github page: https://github.com/jokergoo/ComplexHeatmap\n",
      "Documentation: http://jokergoo.github.io/ComplexHeatmap-reference\n",
      "\n",
      "If you use it in published research, please cite either one:\n",
      "- Gu, Z. Complex Heatmap Visualization. iMeta 2022.\n",
      "- Gu, Z. Complex heatmaps reveal patterns and correlations in multidimensional \n",
      "    genomic data. Bioinformatics 2016.\n",
      "\n",
      "\n",
      "The new InteractiveComplexHeatmap package can directly export static \n",
      "complex heatmaps into an interactive Shiny app with zero effort. Have a try!\n",
      "\n",
      "This message can be suppressed by:\n",
      "  suppressPackageStartupMessages(library(ComplexHeatmap))\n",
      "========================================\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "###install the libraries first, if required\n",
    "install.packages(\"BiocManager\")\n",
    "\n",
    "if (!require(\"ComplexHeatmap\"))\n",
    "    BiocManager::install(\"ComplexHeatmap\")\n",
    "\n",
    "if (!require(\"DESeq2\"))\n",
    "    BiocManager::install(\"DESeq2\")\n",
    "\n",
    "if (!require(\"EnhancedVolcano\"))\n",
    "    BiocManager::install('EnhancedVolcano')\n",
    "\n",
    "if (!require(\"dplyr\"))\n",
    "    install.packages(\"dplyr\")\n",
    "\n",
    "if (!require(\"pheatmap\"))\n",
    "    install.packages(\"pheatmap\")\n",
    "\n",
    "if (!require(\"ggrepel\"))\n",
    "    install.packages(\"ggrepel\")\n",
    "\n",
    "if (!require(\"ggfortify\"))\n",
    "    install.packages(\"ggfortify\")\n",
    "\n",
    "if (!require(\"org.Dr.eg.db\"))\n",
    "    BiocManager::install(\"org.Dr.eg.db\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "###load the libraries\n",
    "library(DESeq2)\n",
    "library(dplyr)\n",
    "library(ComplexHeatmap)\n",
    "library(EnhancedVolcano)\n",
    "library(ggplot2)\n",
    "library(ggrepel)\n",
    "library(ggfortify)\n",
    "library(org.Dr.eg.db)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### STEP 2: Downloading Data\n",
    "\n",
    "First we need to download the readcounts we produced in the previous step.\n",
    "\n",
    "(Note this jupyter notebook file is set to use R, as opposed to the previous notebook which primarily used Python. \n",
    "\n",
    "In this setup, bash commands are called using the system() function, instead of with the '!' prefix.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
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      "text/latex": [],
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     "output_type": "display_data"
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   ],
   "source": [
    "# Create folders we will store downloaded files in\n",
    "system(\"mkdir -p data/gene_counts/single\", intern=TRUE)\n",
    "system(\"mkdir -p data/gene_counts/merged\", intern=TRUE)\n",
    "system(\"mkdir -p data/reference\", intern=TRUE)\n",
    "\n",
    "# Download genecount files\n",
    "system(\"gsutil cp gs://hon_350/24hours_results/*genes.results data/gene_counts/single\", intern=TRUE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Combining files into a single table.\n",
    "\n",
    "In order to run our pipeline, we need to do two things to our genecount files. First, we need to combine them into a single easy to use file, and second, we need to read that file into the R environment as a R Dataframe.\n",
    "\n",
    "We will combine our tables together such that rows will represent gene IDs, and each column will hold the TPM counts from each genecount file.\n",
    "\n",
    "The below code will both merge files into a single file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 9</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>GeneID</th><th scope=col>SE8159_SA161918_S9_L007_R1_trimmed</th><th scope=col>SE8159_SA161919_S10_L007_R1_trimmed</th><th scope=col>SE8159_SA161920_S11_L007_R1_trimmed</th><th scope=col>SE8159_SA161921_S12_L007_R1_trimmed</th><th scope=col>SE8159_SA161922_S13_L007_R1_trimmed</th><th scope=col>SE8159_SA161923_S14_L007_R1_trimmed</th><th scope=col>SE8159_SA161924_S15_L007_R1_trimmed</th><th scope=col>SE8161_SA161878_S1_L007_R1_trimmed</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>ENSDARG00000000001</td><td>  54.00</td><td>  62.98</td><td> 60.00</td><td> 57.95</td><td>  69.00</td><td> 62.29</td><td> 76.97</td><td>  72.99</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>ENSDARG00000000002</td><td> 207.89</td><td> 145.00</td><td>140.00</td><td>137.00</td><td> 126.00</td><td>135.00</td><td>123.00</td><td> 129.04</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>ENSDARG00000000018</td><td> 216.01</td><td> 189.07</td><td>219.81</td><td>194.00</td><td> 273.00</td><td>238.00</td><td>210.26</td><td> 250.38</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>ENSDARG00000000019</td><td>1035.35</td><td>1032.73</td><td>925.85</td><td>843.21</td><td>1016.86</td><td>996.65</td><td>979.95</td><td>1051.60</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>ENSDARG00000000068</td><td> 307.00</td><td> 315.00</td><td>365.00</td><td>302.34</td><td> 388.99</td><td>414.88</td><td>327.00</td><td> 437.91</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>ENSDARG00000000069</td><td> 424.57</td><td> 430.57</td><td>410.10</td><td>390.01</td><td> 423.47</td><td>502.61</td><td>410.37</td><td> 575.70</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 9\n",
       "\\begin{tabular}{r|lllllllll}\n",
       "  & GeneID & SE8159\\_SA161918\\_S9\\_L007\\_R1\\_trimmed & SE8159\\_SA161919\\_S10\\_L007\\_R1\\_trimmed & SE8159\\_SA161920\\_S11\\_L007\\_R1\\_trimmed & SE8159\\_SA161921\\_S12\\_L007\\_R1\\_trimmed & SE8159\\_SA161922\\_S13\\_L007\\_R1\\_trimmed & SE8159\\_SA161923\\_S14\\_L007\\_R1\\_trimmed & SE8159\\_SA161924\\_S15\\_L007\\_R1\\_trimmed & SE8161\\_SA161878\\_S1\\_L007\\_R1\\_trimmed\\\\\n",
       "  & <chr> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t1 & ENSDARG00000000001 &   54.00 &   62.98 &  60.00 &  57.95 &   69.00 &  62.29 &  76.97 &   72.99\\\\\n",
       "\t2 & ENSDARG00000000002 &  207.89 &  145.00 & 140.00 & 137.00 &  126.00 & 135.00 & 123.00 &  129.04\\\\\n",
       "\t3 & ENSDARG00000000018 &  216.01 &  189.07 & 219.81 & 194.00 &  273.00 & 238.00 & 210.26 &  250.38\\\\\n",
       "\t4 & ENSDARG00000000019 & 1035.35 & 1032.73 & 925.85 & 843.21 & 1016.86 & 996.65 & 979.95 & 1051.60\\\\\n",
       "\t5 & ENSDARG00000000068 &  307.00 &  315.00 & 365.00 & 302.34 &  388.99 & 414.88 & 327.00 &  437.91\\\\\n",
       "\t6 & ENSDARG00000000069 &  424.57 &  430.57 & 410.10 & 390.01 &  423.47 & 502.61 & 410.37 &  575.70\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 9\n",
       "\n",
       "| <!--/--> | GeneID &lt;chr&gt; | SE8159_SA161918_S9_L007_R1_trimmed &lt;dbl&gt; | SE8159_SA161919_S10_L007_R1_trimmed &lt;dbl&gt; | SE8159_SA161920_S11_L007_R1_trimmed &lt;dbl&gt; | SE8159_SA161921_S12_L007_R1_trimmed &lt;dbl&gt; | SE8159_SA161922_S13_L007_R1_trimmed &lt;dbl&gt; | SE8159_SA161923_S14_L007_R1_trimmed &lt;dbl&gt; | SE8159_SA161924_S15_L007_R1_trimmed &lt;dbl&gt; | SE8161_SA161878_S1_L007_R1_trimmed &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | ENSDARG00000000001 |   54.00 |   62.98 |  60.00 |  57.95 |   69.00 |  62.29 |  76.97 |   72.99 |\n",
       "| 2 | ENSDARG00000000002 |  207.89 |  145.00 | 140.00 | 137.00 |  126.00 | 135.00 | 123.00 |  129.04 |\n",
       "| 3 | ENSDARG00000000018 |  216.01 |  189.07 | 219.81 | 194.00 |  273.00 | 238.00 | 210.26 |  250.38 |\n",
       "| 4 | ENSDARG00000000019 | 1035.35 | 1032.73 | 925.85 | 843.21 | 1016.86 | 996.65 | 979.95 | 1051.60 |\n",
       "| 5 | ENSDARG00000000068 |  307.00 |  315.00 | 365.00 | 302.34 |  388.99 | 414.88 | 327.00 |  437.91 |\n",
       "| 6 | ENSDARG00000000069 |  424.57 |  430.57 | 410.10 | 390.01 |  423.47 | 502.61 | 410.37 |  575.70 |\n",
       "\n"
      ],
      "text/plain": [
       "  GeneID             SE8159_SA161918_S9_L007_R1_trimmed\n",
       "1 ENSDARG00000000001   54.00                           \n",
       "2 ENSDARG00000000002  207.89                           \n",
       "3 ENSDARG00000000018  216.01                           \n",
       "4 ENSDARG00000000019 1035.35                           \n",
       "5 ENSDARG00000000068  307.00                           \n",
       "6 ENSDARG00000000069  424.57                           \n",
       "  SE8159_SA161919_S10_L007_R1_trimmed SE8159_SA161920_S11_L007_R1_trimmed\n",
       "1   62.98                              60.00                             \n",
       "2  145.00                             140.00                             \n",
       "3  189.07                             219.81                             \n",
       "4 1032.73                             925.85                             \n",
       "5  315.00                             365.00                             \n",
       "6  430.57                             410.10                             \n",
       "  SE8159_SA161921_S12_L007_R1_trimmed SE8159_SA161922_S13_L007_R1_trimmed\n",
       "1  57.95                                69.00                            \n",
       "2 137.00                               126.00                            \n",
       "3 194.00                               273.00                            \n",
       "4 843.21                              1016.86                            \n",
       "5 302.34                               388.99                            \n",
       "6 390.01                               423.47                            \n",
       "  SE8159_SA161923_S14_L007_R1_trimmed SE8159_SA161924_S15_L007_R1_trimmed\n",
       "1  62.29                               76.97                             \n",
       "2 135.00                              123.00                             \n",
       "3 238.00                              210.26                             \n",
       "4 996.65                              979.95                             \n",
       "5 414.88                              327.00                             \n",
       "6 502.61                              410.37                             \n",
       "  SE8161_SA161878_S1_L007_R1_trimmed\n",
       "1   72.99                           \n",
       "2  129.04                           \n",
       "3  250.38                           \n",
       "4 1051.60                           \n",
       "5  437.91                           \n",
       "6  575.70                           "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# use the directory to fill up a list of all\n",
    "# gene count files to merge\n",
    "file_list <- list.files('data/gene_counts/single/', full.names = TRUE)\n",
    "\n",
    "for (file in file_list){\n",
    " \n",
    "  # if the merged dataset doesn't exist, \n",
    "  # first, create a base dataframe to append\n",
    "  # further columns to.\n",
    "  if (!exists(\"dataset\")){\n",
    "    dataset <- read.table(file, header=TRUE, sep=\"\\t\")\n",
    "    dataset <- dataset[,c(1,5)]\n",
    "  }\n",
    " \n",
    "  # if the merged dataset does exist, \\\n",
    "  # append TPM columns to it\n",
    "  else {\n",
    "    temp_dataset <-read.table(file, header=TRUE, sep=\"\\t\")\n",
    "    dataset<-cbind(dataset, temp_dataset[,5])\n",
    "  }\n",
    " \n",
    "}\n",
    "\n",
    "# next we need to name the columns\n",
    "# of our combined dataset.\n",
    "\n",
    "# we can just use the filenames in the directory\n",
    "colnames <- c(\"GeneID\",list.files('data/gene_counts/single/'))\n",
    "# remove the filename extension\n",
    "colnames <- gsub(\".genes.results\", \"\", colnames)\n",
    "# set the columns\n",
    "names(dataset) <- colnames\n",
    "\n",
    "# write out the merged file for later use \n",
    "write.table(dataset,\"data/gene_counts/merged/merged_counts.txt\",sep=\"\\t\",row.names=FALSE)\n",
    "\n",
    "# example of what the file looks like\n",
    "head(dataset)\n",
    "\n",
    "# empty variable for now\n",
    "rm(dataset)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "### STEP 2: Reading in Data\n",
    "\n",
    "To be manipulated in R, files need to be read-in as R dataframes. \n",
    "\n",
    "This read-in step often involves reformatting or adjusting the data.\n",
    "\n",
    "For instance, later on we will process the data using processes such as logarithms. So, to prevent errors, we will replace all readcount values of '0' in our data, with '1'. This will change the data only slightly, and will prevent these zeroes from causing an 'undefined' or 'N/A' math error in future steps.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 6 × 8 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>SE8159_SA161918_S9_L007_R1_trimmed</th><th scope=col>SE8159_SA161919_S10_L007_R1_trimmed</th><th scope=col>SE8159_SA161920_S11_L007_R1_trimmed</th><th scope=col>SE8159_SA161921_S12_L007_R1_trimmed</th><th scope=col>SE8159_SA161922_S13_L007_R1_trimmed</th><th scope=col>SE8159_SA161923_S14_L007_R1_trimmed</th><th scope=col>SE8159_SA161924_S15_L007_R1_trimmed</th><th scope=col>SE8161_SA161878_S1_L007_R1_trimmed</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>ENSDARG00000000001</th><td>  54</td><td>  63</td><td> 60</td><td> 58</td><td>  69</td><td> 62</td><td> 77</td><td>  73</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000002</th><td> 208</td><td> 145</td><td>140</td><td>137</td><td> 126</td><td>135</td><td>123</td><td> 129</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000018</th><td> 216</td><td> 189</td><td>220</td><td>194</td><td> 273</td><td>238</td><td>210</td><td> 250</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000019</th><td>1035</td><td>1033</td><td>926</td><td>843</td><td>1017</td><td>997</td><td>980</td><td>1052</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000068</th><td> 307</td><td> 315</td><td>365</td><td>302</td><td> 389</td><td>415</td><td>327</td><td> 438</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000069</th><td> 425</td><td> 431</td><td>410</td><td>390</td><td> 423</td><td>503</td><td>410</td><td> 576</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 6 × 8 of type dbl\n",
       "\\begin{tabular}{r|llllllll}\n",
       "  & SE8159\\_SA161918\\_S9\\_L007\\_R1\\_trimmed & SE8159\\_SA161919\\_S10\\_L007\\_R1\\_trimmed & SE8159\\_SA161920\\_S11\\_L007\\_R1\\_trimmed & SE8159\\_SA161921\\_S12\\_L007\\_R1\\_trimmed & SE8159\\_SA161922\\_S13\\_L007\\_R1\\_trimmed & SE8159\\_SA161923\\_S14\\_L007\\_R1\\_trimmed & SE8159\\_SA161924\\_S15\\_L007\\_R1\\_trimmed & SE8161\\_SA161878\\_S1\\_L007\\_R1\\_trimmed\\\\\n",
       "\\hline\n",
       "\tENSDARG00000000001 &   54 &   63 &  60 &  58 &   69 &  62 &  77 &   73\\\\\n",
       "\tENSDARG00000000002 &  208 &  145 & 140 & 137 &  126 & 135 & 123 &  129\\\\\n",
       "\tENSDARG00000000018 &  216 &  189 & 220 & 194 &  273 & 238 & 210 &  250\\\\\n",
       "\tENSDARG00000000019 & 1035 & 1033 & 926 & 843 & 1017 & 997 & 980 & 1052\\\\\n",
       "\tENSDARG00000000068 &  307 &  315 & 365 & 302 &  389 & 415 & 327 &  438\\\\\n",
       "\tENSDARG00000000069 &  425 &  431 & 410 & 390 &  423 & 503 & 410 &  576\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 6 × 8 of type dbl\n",
       "\n",
       "| <!--/--> | SE8159_SA161918_S9_L007_R1_trimmed | SE8159_SA161919_S10_L007_R1_trimmed | SE8159_SA161920_S11_L007_R1_trimmed | SE8159_SA161921_S12_L007_R1_trimmed | SE8159_SA161922_S13_L007_R1_trimmed | SE8159_SA161923_S14_L007_R1_trimmed | SE8159_SA161924_S15_L007_R1_trimmed | SE8161_SA161878_S1_L007_R1_trimmed |\n",
       "|---|---|---|---|---|---|---|---|---|\n",
       "| ENSDARG00000000001 |   54 |   63 |  60 |  58 |   69 |  62 |  77 |   73 |\n",
       "| ENSDARG00000000002 |  208 |  145 | 140 | 137 |  126 | 135 | 123 |  129 |\n",
       "| ENSDARG00000000018 |  216 |  189 | 220 | 194 |  273 | 238 | 210 |  250 |\n",
       "| ENSDARG00000000019 | 1035 | 1033 | 926 | 843 | 1017 | 997 | 980 | 1052 |\n",
       "| ENSDARG00000000068 |  307 |  315 | 365 | 302 |  389 | 415 | 327 |  438 |\n",
       "| ENSDARG00000000069 |  425 |  431 | 410 | 390 |  423 | 503 | 410 |  576 |\n",
       "\n"
      ],
      "text/plain": [
       "                   SE8159_SA161918_S9_L007_R1_trimmed\n",
       "ENSDARG00000000001   54                              \n",
       "ENSDARG00000000002  208                              \n",
       "ENSDARG00000000018  216                              \n",
       "ENSDARG00000000019 1035                              \n",
       "ENSDARG00000000068  307                              \n",
       "ENSDARG00000000069  425                              \n",
       "                   SE8159_SA161919_S10_L007_R1_trimmed\n",
       "ENSDARG00000000001   63                               \n",
       "ENSDARG00000000002  145                               \n",
       "ENSDARG00000000018  189                               \n",
       "ENSDARG00000000019 1033                               \n",
       "ENSDARG00000000068  315                               \n",
       "ENSDARG00000000069  431                               \n",
       "                   SE8159_SA161920_S11_L007_R1_trimmed\n",
       "ENSDARG00000000001  60                                \n",
       "ENSDARG00000000002 140                                \n",
       "ENSDARG00000000018 220                                \n",
       "ENSDARG00000000019 926                                \n",
       "ENSDARG00000000068 365                                \n",
       "ENSDARG00000000069 410                                \n",
       "                   SE8159_SA161921_S12_L007_R1_trimmed\n",
       "ENSDARG00000000001  58                                \n",
       "ENSDARG00000000002 137                                \n",
       "ENSDARG00000000018 194                                \n",
       "ENSDARG00000000019 843                                \n",
       "ENSDARG00000000068 302                                \n",
       "ENSDARG00000000069 390                                \n",
       "                   SE8159_SA161922_S13_L007_R1_trimmed\n",
       "ENSDARG00000000001   69                               \n",
       "ENSDARG00000000002  126                               \n",
       "ENSDARG00000000018  273                               \n",
       "ENSDARG00000000019 1017                               \n",
       "ENSDARG00000000068  389                               \n",
       "ENSDARG00000000069  423                               \n",
       "                   SE8159_SA161923_S14_L007_R1_trimmed\n",
       "ENSDARG00000000001  62                                \n",
       "ENSDARG00000000002 135                                \n",
       "ENSDARG00000000018 238                                \n",
       "ENSDARG00000000019 997                                \n",
       "ENSDARG00000000068 415                                \n",
       "ENSDARG00000000069 503                                \n",
       "                   SE8159_SA161924_S15_L007_R1_trimmed\n",
       "ENSDARG00000000001  77                                \n",
       "ENSDARG00000000002 123                                \n",
       "ENSDARG00000000018 210                                \n",
       "ENSDARG00000000019 980                                \n",
       "ENSDARG00000000068 327                                \n",
       "ENSDARG00000000069 410                                \n",
       "                   SE8161_SA161878_S1_L007_R1_trimmed\n",
       "ENSDARG00000000001   73                              \n",
       "ENSDARG00000000002  129                              \n",
       "ENSDARG00000000018  250                              \n",
       "ENSDARG00000000019 1052                              \n",
       "ENSDARG00000000068  438                              \n",
       "ENSDARG00000000069  576                              "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# read-in the merged gene count file\n",
    "# to a dataframe variable we named 'read_counts'\n",
    "read_counts <- read.table('data/gene_counts/merged/merged_counts.txt',head=TRUE)\n",
    "\n",
    "# replace all count entries of '0' in the raw gene count file with '1'.\n",
    "read_counts[read_counts==0] <- 1\n",
    "\n",
    "# assign rownames using the gene ID column\n",
    "# and remove the gene ID column\n",
    "# this format is important for DESEQ2\n",
    "rnaseqMatrix <- data.matrix(round(read_counts[,-1]))\n",
    "rownames(rnaseqMatrix) <- read_counts[,1]\n",
    "\n",
    "#example of how the read-in data frame looks\n",
    "\n",
    "head(rnaseqMatrix)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP 4: Specifying Experimental Design\n",
    "\n",
    "Next specify the experimental design. \n",
    "\n",
    "DESEQ2 uses an experimental design table for specifying grouping of samples.\n",
    "\n",
    "This is used, for instance to group samples together and output information about the statistical differences in gene expression between genes in specified groups.\n",
    "\n",
    "An experimental design table can be created however you want and then read into R as a dataframe, or created in R itself, as below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"So our deseq2 experimental design table might look like this:\"\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 8 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>ID</th><th scope=col>Treatment</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>SE8159_SA161918_S9_L007_R1_trimmed</th><td>SE8159_SA161918_S9_L007_R1_trimmed </td><td>HBSS</td></tr>\n",
       "\t<tr><th scope=row>SE8159_SA161919_S10_L007_R1_trimmed</th><td>SE8159_SA161919_S10_L007_R1_trimmed</td><td>HBSS</td></tr>\n",
       "\t<tr><th scope=row>SE8159_SA161920_S11_L007_R1_trimmed</th><td>SE8159_SA161920_S11_L007_R1_trimmed</td><td>HBSS</td></tr>\n",
       "\t<tr><th scope=row>SE8159_SA161921_S12_L007_R1_trimmed</th><td>SE8159_SA161921_S12_L007_R1_trimmed</td><td>HBSS</td></tr>\n",
       "\t<tr><th scope=row>SE8159_SA161922_S13_L007_R1_trimmed</th><td>SE8159_SA161922_S13_L007_R1_trimmed</td><td>IAV </td></tr>\n",
       "\t<tr><th scope=row>SE8159_SA161923_S14_L007_R1_trimmed</th><td>SE8159_SA161923_S14_L007_R1_trimmed</td><td>IAV </td></tr>\n",
       "\t<tr><th scope=row>SE8159_SA161924_S15_L007_R1_trimmed</th><td>SE8159_SA161924_S15_L007_R1_trimmed</td><td>IAV </td></tr>\n",
       "\t<tr><th scope=row>SE8161_SA161878_S1_L007_R1_trimmed</th><td>SE8161_SA161878_S1_L007_R1_trimmed </td><td>IAV </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 8 × 2\n",
       "\\begin{tabular}{r|ll}\n",
       "  & ID & Treatment\\\\\n",
       "  & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\tSE8159\\_SA161918\\_S9\\_L007\\_R1\\_trimmed & SE8159\\_SA161918\\_S9\\_L007\\_R1\\_trimmed  & HBSS\\\\\n",
       "\tSE8159\\_SA161919\\_S10\\_L007\\_R1\\_trimmed & SE8159\\_SA161919\\_S10\\_L007\\_R1\\_trimmed & HBSS\\\\\n",
       "\tSE8159\\_SA161920\\_S11\\_L007\\_R1\\_trimmed & SE8159\\_SA161920\\_S11\\_L007\\_R1\\_trimmed & HBSS\\\\\n",
       "\tSE8159\\_SA161921\\_S12\\_L007\\_R1\\_trimmed & SE8159\\_SA161921\\_S12\\_L007\\_R1\\_trimmed & HBSS\\\\\n",
       "\tSE8159\\_SA161922\\_S13\\_L007\\_R1\\_trimmed & SE8159\\_SA161922\\_S13\\_L007\\_R1\\_trimmed & IAV \\\\\n",
       "\tSE8159\\_SA161923\\_S14\\_L007\\_R1\\_trimmed & SE8159\\_SA161923\\_S14\\_L007\\_R1\\_trimmed & IAV \\\\\n",
       "\tSE8159\\_SA161924\\_S15\\_L007\\_R1\\_trimmed & SE8159\\_SA161924\\_S15\\_L007\\_R1\\_trimmed & IAV \\\\\n",
       "\tSE8161\\_SA161878\\_S1\\_L007\\_R1\\_trimmed & SE8161\\_SA161878\\_S1\\_L007\\_R1\\_trimmed  & IAV \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 8 × 2\n",
       "\n",
       "| <!--/--> | ID &lt;chr&gt; | Treatment &lt;chr&gt; |\n",
       "|---|---|---|\n",
       "| SE8159_SA161918_S9_L007_R1_trimmed | SE8159_SA161918_S9_L007_R1_trimmed  | HBSS |\n",
       "| SE8159_SA161919_S10_L007_R1_trimmed | SE8159_SA161919_S10_L007_R1_trimmed | HBSS |\n",
       "| SE8159_SA161920_S11_L007_R1_trimmed | SE8159_SA161920_S11_L007_R1_trimmed | HBSS |\n",
       "| SE8159_SA161921_S12_L007_R1_trimmed | SE8159_SA161921_S12_L007_R1_trimmed | HBSS |\n",
       "| SE8159_SA161922_S13_L007_R1_trimmed | SE8159_SA161922_S13_L007_R1_trimmed | IAV  |\n",
       "| SE8159_SA161923_S14_L007_R1_trimmed | SE8159_SA161923_S14_L007_R1_trimmed | IAV  |\n",
       "| SE8159_SA161924_S15_L007_R1_trimmed | SE8159_SA161924_S15_L007_R1_trimmed | IAV  |\n",
       "| SE8161_SA161878_S1_L007_R1_trimmed | SE8161_SA161878_S1_L007_R1_trimmed  | IAV  |\n",
       "\n"
      ],
      "text/plain": [
       "                                    ID                                 \n",
       "SE8159_SA161918_S9_L007_R1_trimmed  SE8159_SA161918_S9_L007_R1_trimmed \n",
       "SE8159_SA161919_S10_L007_R1_trimmed SE8159_SA161919_S10_L007_R1_trimmed\n",
       "SE8159_SA161920_S11_L007_R1_trimmed SE8159_SA161920_S11_L007_R1_trimmed\n",
       "SE8159_SA161921_S12_L007_R1_trimmed SE8159_SA161921_S12_L007_R1_trimmed\n",
       "SE8159_SA161922_S13_L007_R1_trimmed SE8159_SA161922_S13_L007_R1_trimmed\n",
       "SE8159_SA161923_S14_L007_R1_trimmed SE8159_SA161923_S14_L007_R1_trimmed\n",
       "SE8159_SA161924_S15_L007_R1_trimmed SE8159_SA161924_S15_L007_R1_trimmed\n",
       "SE8161_SA161878_S1_L007_R1_trimmed  SE8161_SA161878_S1_L007_R1_trimmed \n",
       "                                    Treatment\n",
       "SE8159_SA161918_S9_L007_R1_trimmed  HBSS     \n",
       "SE8159_SA161919_S10_L007_R1_trimmed HBSS     \n",
       "SE8159_SA161920_S11_L007_R1_trimmed HBSS     \n",
       "SE8159_SA161921_S12_L007_R1_trimmed HBSS     \n",
       "SE8159_SA161922_S13_L007_R1_trimmed IAV      \n",
       "SE8159_SA161923_S14_L007_R1_trimmed IAV      \n",
       "SE8159_SA161924_S15_L007_R1_trimmed IAV      \n",
       "SE8161_SA161878_S1_L007_R1_trimmed  IAV      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# use R to create a DESEQ2 design table\n",
    "\n",
    "# first, the sample column will just be \n",
    "# sample IDs\n",
    "samples_ID <- data.frame(matrix(colnames(rnaseqMatrix),ncol=1))\n",
    "\n",
    "\n",
    "# second, \n",
    "# our experiment involves looks at IAV \n",
    "# and control zebrafish.\n",
    "\n",
    "# there are eight 24hpi samples\n",
    "# 4 HBSS, and 4 IAV injected zebrafish.\n",
    "\n",
    "# SA161918 (HBSS)\n",
    "# SA161919 (HBSS)\n",
    "# SA161920 (HBSS)\n",
    "# SA161921 (HBSS)\n",
    "# SA161922 (IAV)\n",
    "# SA161923 (IAV)\n",
    "# SA161924 (IAV)\n",
    "# SA161878 (IAV)\n",
    "\n",
    "samples_treatment <- data.frame(matrix(c(\"HBSS\",\"HBSS\",\"HBSS\",\"HBSS\",\n",
    " \"IAV\",\"IAV\",\"IAV\",\"IAV\"),ncol=1))\n",
    "\n",
    "\n",
    "samples <- cbind(samples_ID, samples_treatment)\n",
    "names(samples) <- c(\"ID\",\"Treatment\")\n",
    "rownames(samples) <- samples[,1]\n",
    "\n",
    "print(\"So our deseq2 experimental design table might look like this:\")\n",
    "samples\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP 5: Creating Deseq2 Object and Normalizing Data.\n",
    "\n",
    "Now use the treatment design matrix in combination with the readcount matrix to create a deseq2 object. \n",
    "\n",
    "Once created, this is also a good opportunity to filter out lowly expresseed genes, and to inspect the pre-normalized data using pairwise comparison plots.\n",
    "\n",
    "Finally, the deseq2 analysis can be run on the deseq2 object. Normalization is automatically preformed during the DESeq() step, and data is then transformed using deseq2s 'regularized log', more information about both can be find in the deseq2 documentation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "converting counts to integer mode\n",
      "\n",
      "Warning message in DESeqDataSet(se, design = design, ignoreRank):\n",
      "“some variables in design formula are characters, converting to factors”\n"
     ]
    },
    {
     "data": {
      "image/png": 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2LEXnsvYM2xAejdf5CuLFMg3YLxZ7HARQl8O+Y1rlE6rY4eYwZIC30T07mUZtSG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\nOqoBUtt7iu6k7u6NsQ4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7Tp293PJ9ZS\nc0CXNZMGBeNi35rlP8J9Pt+zGC9HzQ3kmLXUPJqvb5cezRHX/y3IPoFLR+XghzL+xfgVl+7X\nsVUD0q58R4O2jVzNGHPR3uOzs6N8D8Mc8GKrnZQtKcvBe9y8M9uAsuA7hfHPkGnknweRTbke\n9TRKy84G3yt9u90e5UqX0kS7ExPstrhEr8fAX3WPV5ZFpj06yW/scdpcNqc3S0yU6XGIPzt8\nP+tVzKVK40uEqCQeBIevowjI5nAlZ6e5YpKiXDWNFUUSMY94vOBJtIM04c7tRohzcMjrS8bb\nvXY+yYBxGlJOCHnNJn4LX7XgERI8ZVXByzu9gq2GAeNMYuD3O8gS/5g01ihVOQ9vd0clxbjS\nsrO8nsQ4l5Es8zpHfrRkbPh7w3svzGUevnMksJtQ+JqtvKcVv2mW8UyiaVtglvHL25XGK00z\nJk4n3mCaMbFH1XbTjBcojQ+ZVi3eVPaIT802y3imzrfjWjLpPZIlS+e3LJAsWTJBFkiWLJkg\nCyRLlkyQBZIlSybIAsmSJRNkgWTJkgmyQLJkyQRZIFmyZIIskCxZMkEWSJYsmSALJEuWTJAF\nkiVLJsgCyZIlE2QSSMuCnspoRLxy28DtahsAG9dChXGx6mkGhkXsF9zKNOMhSuOhphm3VBoH\nObPLoGKVqx0WmmZsU65V+T3YwbSGhJYZr+0smQTSnIS14eqLm7j+Xy+7hFoh+0XYzs84Wr73\n1U0OcoXsa2Eb+9WOWCFb657wPZulXf/Gs3bijNleV4dr+/3jTeNeXf1mfJrSeFy7sDO8tKd9\n7Pcf5pIrZKuHbbz2Tu6ShZ9dTK2Q/S5s4/fsLaatGGKLrH3tpKXm4eljryPa1fnkcfOXml+H\nhEzXWziWXmpujsil5rWMnPnF0t5F10CNJvzY9iRIBta/s43zPLyz1jY8igSpFzu9fn3gtsfw\n15XOZSw1D0+llyNPTe+HexhLzcPURy6+heeCo55zDKRbxVaWuydjsvl7NnSSOgYD3DsTzxaQ\n7pM2yGm0bZUz32yQOkkdIndbfK/ZIP1rlzYgE15eaTpIzUVf58CYv8wGqfhC0ThqYd6I6HML\npPcBfhvvQLe13Gg2SLOgxhtRtbikWd6zBKQ5NtuNNTh7i+J+8SaDdBgJc+pciNCJK8wGaRzU\n6NS1OV97mtkgPQR542qn2aKeMBuk6wAeiYn1vJTlOmdAOj7livFTkmzo2KEMlJ1S3VSQFl/d\nM5a74EjbHOSq7j47QPpfqi3tkjr3AUzNRN2D/yEjOnV/386toCteKCTCIL66MjIckL69fvD4\nYfGw5Gdnd+DdpoF0+tn+Y3csvznKPubf1FZgjzUHpBPPDxq1Rfzv0pvs6bCleQZ0EZznCkgb\nnGAD5LTD1fgfG5c0xUyQOkrb7vJ87j93Ibg686wAqY80kuSGeS6UbG9N1O8wQPrNJe2ZDOgp\nvMwD+beS23GFDtIw6eiXaCfklfx0CcBdZoG0PxlsCHFtBM6+a8dQgFtNAWlnMuIRmorvsXVA\nNtvEw7eAo07yuQJSatQfl9sRB7HQ8VKI3W/mM9J0GI3sNuC5hu2gG2tfO3NkJkhvAOJtYmEg\ngOgud5gHUrr3eo/0HIMGN0NcAbWvXcggfQH9VticIvnQ7LpYaMDa1y4kdULv4D8QeDwIuYY0\nhyGsfe1CcOWmlhQ2Rh9x+U47x3EXNoXEHRF2GkXIIJ2Eu0cAxIB4lasj1wFTN4hs6RIg8SHg\neAeKKT47QGojtho8J943+bzZxWT9Dh2kQsgCaDJSbOySo9BkeoPIkEEaYnszGgRXXTvYawho\nmWkgeVph/J4A4ESckIrSmRtEGlaJs6b4+S1yA+r/Hgh8GlQ/HGnHuoQM0hHItIs9O3iiOjjb\n7jZ3p1XpWIgLXXYP8BcfYO60ao7MA6n4abElSm5lR2B7qoiu36GD9IRYEo72XugPQtrzjJ1W\nQwbpcmmEsaUQ/ZMTuRp9zdxpNSQ5u23OF8visg9SBfD0Pm4OSMX2huLnU2IX157Ue5EbPNec\nirjzkUIGaY/v4AYOMjpyvrMbTQTJf0RsCozzn4Ma+SAdrOsviwQA3/kdpoH0jm/eidhpHAO+\n9/jmgVR21sTbnO8QFdNAaujyT12Y+wqAtP+wOV27pvwmvDMwB2e+h/tWCjtHQHojcM4fB462\nvgDTQCrILZsEwvmPnIt8kPLK5614fAdKmQXS9rJTZgSP03eijGkgzS8v45Sx0u+mgTS1zJcH\nqTtmEkibHHyK5CpNO+Pae31HG58bIH1Zdol58GzyhZgFUqFUYg7p7iPwc30hEQ9SH/8dRSqN\nVb4Ak0BaJdWbRMk3mn/DF2ISSEUjpI3TfTlOyfFdJrNAug8C+8hDDfCdm2gOSHhHHd+NVdoz\nPIt/0xd0ToD0vb/9FsQrbXvJH2QSSL/4W7pEscRq/eQPinSQLvDl2HdSkZ98k0B60edrayN+\ntF7nDzIHpFJ/C9o2GsD5pP/sNHNAOtLBZ5wkseQd6AsyB6TP/cdvC8gN0CtQFucASCfGVEwZ\nR84d/kBzQFoYaOmku1qgVkY4SAWyAw+TA1OozQDpmwugoijKTnQwBaS3Y32uvmtYdnCPGSBt\n7u4NZFk6duMu/0nQZoD0/QC+4iRFYU8g9OwHaU9iRdUBbnYg1BSQJlQYo9yy8xUjGqRtsmUo\nzlWBQBNAekO+vOWRslAzQLpaZhxVdpiLCSB9ztlkzh8GQk0A6W4OyQrj+bLgsx+kAbLa7p5c\nFmoGSL/IrkTnrWWhkQzSAdkl7lh+sFf4IJW4ZMZPlgebANJPsjJG28pCTQApXrZODJVxZAJI\nX9sEmXPFErKzHqSTFc0sF9Wh/HwqE0AqqjhgXTp4rkwRDNIh2UHosnVm4YP0mKy6X10RHD5I\nqypGGIGfVx4cPkjfyk5uFyquUPgg3SHvAFXkGJf9OcdvRrOqVNWAtGb2fNnXuvrdkvKYcEH6\ncfYnFWtq0WpZTOSCtFrWbMjPKwwXpBMNZIU8VxYRNkjTZMe2Z8rOVA4XpB33yPp1TtmZm2GD\ntFK+pHaiLILru8ynFfrP9mWqKkAq7MGnyb7WMHlceCCduoxPkjkrVhFHLEjPyHKsqNFhgvQG\nr2YcLkgvyYwd8sMuwwTpKYfsloJ2yGLCBilOluXO8ghutDEjNVUFSLfXGif7WlGKA6jDA+me\n6s/JnCco4iIVJPm+BoIiJjyQViFV4/BAKlkoa4/ge3lUeCB9I+TKjJfLo8IF6QOZsUcRczaD\nVDtF9rVspYq48EBqeoPMmVjNE6Eg/SvLcXVl9yIskD6St0de5RnJYYH0aQ2ZMTyniAsPpM5y\n9J9VRIUH0reydwsQXaSIO4tB+lh+IdAKZWR4IMXInLOITm9kgvSHLMe3EnHhgLRDzlF7IjIc\nkP50yy/fC8rIsEC6Xm58vzIuDJAKtjZUVLjVyuizF6T35V8r6nMiNiyQ+smcLyL/XUSCdEKW\n43ZkZDggpcqMU4qIyDBAKlXUyn5EbBgg7WkkN25ToowNGaQX5I2RqJjLiQRnK0iFt8m/Fvca\nGR8GSL/IB2aSqEGYSATpM1mOY3PJg+pDB+m0/Nna4RxPRIcO0u4Exd19AREdBkjyHEP0cSI2\nRJBOdAD5612pXuwnkpylIBXWVHyt/FIyQegg/SA3jkp4k4yPQJA2yHKcXFBvMhEdKkhHpsn7\nddyxFegvZYKQQTqsqJa2+4i9H0IGqfj5aEW9+IRMECJINwqcwhcuzyX6jGcrSKMVX4unGqTQ\nQSqVFxm/t98oMkHkgSQfYYQ9+G5i06BQQfpAeRMW27m0d5UpQgTp6zoKY+6rTbBLmSJEkI6m\nK6s7d4JMERpI9wKh5gXjLyHSnJ0grVF+L2EXlSJUkE4q9kz+DXcib++RB9JV8hyvwviWAUSC\n0ED6i1eUcR/xfh9F3OFDA0k5zADoX7yGO6pMEiJImcpqMTW6hEwREkiLlSXhewlww2Ai0VkJ\n0krl90JUq6EPpJK9VI8QK8osFb8tfEemiDCQTiseFpudwl963iaSGAfpcCFeV0NZxkvx6dsT\nDyuThQbSNcqrNw4f6NiJSBICSGKW31QaX9b0KipVSCANIjiCZ/EXrveIRGchSMUTCY6G0jzo\nAKnoHi9EP6C8Z51Q7qkeU80xnXKOKJAODVG0oL2rRVfnxpKJjIL0VUPg6itPM7j+dq56TBK5\nT7xOkJSDfcOUV6+ekGlvtIP4F4ZBkrLcUZnlBFvrg1S6EEAqKfAqcxwTG1Odo4qQCdL+GSMH\njJhOjksEVeWBdLK98nsN/pWVShukexPf/m123COykEX1FcbN1r8/l7zCOLJA+jdNkePH8JFF\nb22kUhkE6a+o4evfVZbxbWKH7K2P/iNT6gJpQR6XNLH8YWVNI6XzOvzt6/8jh9UNgyRl+Tml\n8ZLXv2LcXw2DtKWPm+jYZeD/Fr71J5WQBdJKd5tRk0a1934V/G8oVHkgEaedIPZsW22QEqXl\n0i/Jxou+EBS3tEGM6yApgkAqrqcoihYqyQyCdE9r/LWyjGEzO6UekD4TJq16Pf2mwG9jCGOV\ny20UpHtaH01SGn/ITmgUpKM59Yn2CKmkZIHUZJbvPx82C557hSoNpFuUX8vJeD6SpAnSf7Be\n/PweCstDOik4uk4tAzRI6waKHYCxWY2WYDyxbsbjGD9fr+EXZfEL6mc3kK7qOt9aZ/+npI1N\nfP/xJ/V91jUM0t2KskhSS2YQpEHDRhDVva9KSj0gdRshfqxA/qerRwhj28tsY6MgDRpGvObx\nqtwFjYL0InV+0iSVlCyQonf7/nMyLnjuFaoUkErndiNuPBe+o1Ji2i1SNekiPpNZ/rvyUZWc\nDVMhCqTrs0Q63upUsDv9xKp6p/bXXLc9p2BzZuDha2/sRvxX1l58n5Qo8OmTHyR/Uv+n4Rbp\negX5UarpDII0haiU0KNAJaUekDKkNcuF/jmp3xHG3EsqxoZA+m3C0NbEax70mUpagyDRx9NV\nU0vKAqnrcGk0smBCt2B/g1BlgFTax0YUmEcFIz0gPR79zNdPessmS+6+VGEc31Q1FxRIT9wv\n0jFmBsadV33wjHh3XPDiEIzr/uiP/imnGONle/ASKVHg0yc/SP6k/k9jIG3oq5gcABz1oFEu\nYyCVNiPqTspAtaR6QLr4Diw1/NKaoJ/I4xipl91lMgLSPFv7hoQvGqOW2BhIRU7CGJzUIG6Z\nuGu3+CR/qt6V72jQtpGr2c4gf4NUZYD0tpu8ErerptUGqfTp6pDxfIDEZ5W3HrTIoYoo3bVb\nLta053qf2uF9X/pDNf+7dxrGfZcE4vtkTlgutU7LfdVxOQGSP6n/0xBIv7mVk7/QUPW0hkAq\nGEKUceyMhmpp9YA03/7U74typa/9EXn1XqBTB2QApJMxj00gfIF8kVYhYyB1II0df6umLU/z\nszx0w3svzP0xyF9g+BhKrSp1kE7dW428EK7YD1SNdL2QLSvE3x4krD+eUUfVmQ3SycGZrdou\nxSWP56zDUx4V+VlU/pcfb5u/Tw0kf1L/pyGQBkcpOfooinr5WC69IJWueX/DAhdZeV4eeama\nsa5Ru5nVwH7TUbytDWmcoJphIyCtRTmkMX9aNbUekErfHzvB1/DcThoDPSJaLlaLFIrOOEi3\npjxAgtQ1gxqQLZeBmQ2nBpDllTIv/jFVZzZIp8WL1+6P4r5Dj4j9tWEY11vrj14ktVLDZ6iB\n5E/q/zQEEnEE9DM/gnpZ6ATp3wtRElkSAEIL20dqxjrfI+0Vy2Y87bxCNcNGQPqFNn5Q3VgH\nSCW9vJd15h8p28hPro/Vjc+WF7KlP/BPkc/A0PwndSMDIN2eQLwpQOC4W/3+zgbp4w7F65vi\nd66UgrbnndqZGZg1/l39XfhAj7lqIPmT+j+NgETMDuA3TM1WT6wTpL75f1AntEsPCdQkqXLp\nntmw90KqUvIZ5NoJmfSD9AFVKyBR/drpAWlW/FaxGypM6kEZ36DuywZpVJmC/UNCZxakf9pR\n3wocqs99kvSDtIQjWrrq3GfUZEeZ2CCV3pjddiMeHp2SkrIYP5+fXz78/VpeVuZUzADJnpOT\nc2cgqe/TAEjKN8fQKbepoN7L1QnSKftS5SQ46ZbyaM0L2tyraqwXpM2UMcCcr3i1wUADIN1F\nG6NPVW11gTRkiPhxkJxeJwFaO4gxE6RZCXnDfQr2DwmdWZA6t/mU+l7kUj6lmCD9M6btZeTS\nlzlkh9HdPiaoc9W/kP3Joczxqz1jqpOzd+TSAqnwh3UnMd4PN1NlHN9iyvFrrlc11gdS4Q8X\nkGUM0AHvgC2qxnpBepPyhcyg0wh0gHT9NeJHWwagz3nIpHIxu3b3GEHIrzMI0prL6sBN1PdS\nHUryiwXSzsRWD9zkeFge/NPF5DWus/umjkGddYL092SfjumP0AKpdMnjb83ulNe/F5Hj5bgg\ni54SKJMGSB9WA6ix7Jl4oKv7XxgXZM5QNdYF0kfV6EoJOYX4VXpudrn0gVTSkq7tN6t6+qQD\npHeiN7w2hC4K9OSY1sGcmSCtN77H55kD6Sth0BT6SnB0RVSIBdIN7cVL94Eg6+OtI19MQYvX\nrhVW4WCqqhbpeFtPvhcNHkteY/7Jl/NziGUISgUH6Q/XfccOj7VzHrryZOdMf6l5rnpJ6wHp\nD4H2BWj0xniXOqD6QPq6NsN4ESOhTDpAKu2PECPL/YcK/wvmHPmDDW1HlJ9yIxM9Q14pGqRd\n/8u+T/zhtG1FRWgTqsSqZ/TQAKOqQBpbZ/dJx4W1yBxzgxvl3rQHBxMbpNLAIPEj+ViabMR4\nKADhzoa1h+9VN9YDEjV+IQpdUS2j7Vw6bbk0QPJFvk7eAyUlBKFTkjZIv77uYjTNCJK6BZ96\nGokgnZjz0HsVm9R5XydftUvfa6GGEQ1Sql3ghz468w/4pTzwAdo4VzOLVQVS3gv4R6D77nna\nxiyQ9vZ18A19G+GMvkKsX+SAi0So+L8vgxszQTr02rTFFW+zHwBqthp8Ai1vCW7MBOnUvIfe\nLcT42G1xXIOPcRE1ewcEIZEPMuYiiQlSycJHXg+8PDjZn3lHaeDmVWbBlisCQdpeK6FNXO3A\noteiFQ7GF+O0enYMkG44+QwPddPtNcu3M7mFtEU8p/4itkxVBVL2a8X0ILL6hFKZGCCdrsWl\n1UE26XH/1dQjFQe1KQqjnXJzRVoskL5LSm/tblc+INeINk7ZCtyK4MYskHbXjWuTkLUVD8p6\n5+vxwryetLH3Za9AL0FSiAXSsQu8rVOr+d/73ZXMU9OCQDoJyb47uHEkgtStyzG8I96e0EuE\nZVU242uJFzlHy4gGaT++34uctrgkf2NX8js9SMWlqk7urVBVgXR1szhGQWg1GpIYIM2DhzH+\nge8t/lbYsOGzebQzQEYjPsgbGUkMkEoybyzCPzgdiVf7UFjF6n8heFojxyyQLq+XGVWzQad/\n4AcxoBOr3RDD+msY0yANTHS41+NT1/rvoHWSqzOMxRvsKxrGEQjSaccKvCua41txCUX/JrG6\n2ABJ6i8JA2INNrSfOqTlyv2ceO/ZNLot49WG2JepoZ3FqgJpE6tOSlspaIoB0g2+vYfzauLD\nxfjgKAah0u5b8JSGMQOkP2E33ufgvS1QxoBoDzXfSJINyG29KDFAKnVCSpfqwH8qlOBTd7IG\nMPg4qKFBPgMk1NLNO/bjrfA3xodP0P1FEaPUgZN+UfGrUOSBVCj0F79ON8ep2RDfgPG9xEvs\nbVmoZUSDdHl1Pl3gvFcJX+OvbR6GLYrJultHFqsEpO/TWVXHA1P0GDNAuhPdmB7TMzk9CYSO\n9COoqIwujbqt0TJmgPQTzEjm0d118dtQexjDF9n5his1c8wAqQgSEvm4VPgdftnPGlCH6Fb5\nmrdXBkgf4KyrAUUPhT/fqcEYZRDlVJ39LlfkgYQToWGiAGlvAaKnf0iqkZV5leYhNDRIXPca\nAF1bAn+8xMv0vfmvIc26kXta0Ko8kKbd2X+i71GxZCwzw7dhNF7Mc/f3NYwZIP0EjrufqimW\ncCNmo4FgwkudWowMPhjIAmnJPf4+V2wHxsORpAffFLaXzOzcYvg/wYwZIBUApF0g9rseTuRZ\n1Z17En/Xr/Flwd9csJ+R2oDgaQSOFxHr7iqWBfctxkt7NR30s4qnXxEIEi80TucEmzOWeX8Q\nL/4tT1/i3KBhRIN0fw8nEpJrI3gvgWVr+2pTVOenRrseVjEsV6WBVNPeZmQTe269EdtZ/XaA\nVvggTPZ2eWq0c1pwYwZIX0n1HSFHH1ZfRgJpaOxdT+Sna2zbQYGU4m4HECPe/4QUpi84L+Ef\nxaNjxj/RKiXIsDrzGUnMlfSqi/WOR1QN/Cl/1dNX84bfI53AiTxnr8bsN/vEvyv+fdtNT19q\n/yGYc+SBtAeeubcdkGu1yuQdg14U0w3sqWHEekZyefxHxbPU9TgeJHm+Z9MaD6w0kNI74KI2\n0dnPNmY3zI4H9uUIl0mMzLGTO/MqxQDpRY/bwalVHjsP6bAa49ONJ7ANy0SBFLX1Xt+5yuzK\nLuaZu3wV3orEdqOohfpaMpUWCfW/VgVPUcK8hneKCe/ReH1Bg9TimK+FU8ux2Lj+i0tipfWf\n15GbhikUeSAVo6YuxsuHQHk1cMA+Md1crb0daJB2YLtYXGrGYpK60sLnE1JDHlSVB9Jk/FFU\nMqAolSyLpfFabWk0qRB9zzQsEwOk6eRe1nIh4J71le9EjTXSFEh18UTme5iAHjzSdwzGH8ZL\nae8NNhHr/+ydB3wUReP3Z7ZcT09I7wmQEHrvLQHpoAJiBRSkCooIKEVFBeVBEVFBxfqo2LCi\nIqgoPiKKFAFFiqAgRUB6SZ13d+8u2d2Z2du9239y4b2fHw8yM/kxNzvf3ZnZKaTBBuqlk3J8\nzTD2OyHhz1C98blSOEiM9Ou0TEPIxLyH9gFxldH7mlsvBOGJfVGAIbwfdOumhzYBcfHEE419\nGOEgdd3MUJ9H0m42neYIH/s1plK6VX0gTUUz6TdKWL/N46dQB3EL6n1gv6YxAaRJgFoWMN8K\nnvzKKk6AH36zdo4xkPLQF9QMC/8gQrfeiNB3nPgAHa3VhSeAVEJ/zgG7pc/U3tHiu9hPXNrj\ndjhIB+YD0KIbudcsDufk5z6PzjDiuMsz9bWcvb8RRGfI0pur0l5IXTseRN/Hz/VhhINEmNBb\nKU68bosjv0JHezanrjH3qPpAqjuPODzlLgnGIg7JLor6Gh3p0VLbmABSW43CAKA3Op928+ny\ndyw+ehwYSBFHX9GwzUWnUhYLD9CsYacq3rdqzUEg9ZG0qkWzw/XuH11vB/qtgQ/0SYMNGs06\nAGK/Y4Qb91VtD6AfkzQHBYOvaXdY42uJ72EPtgVOOJK+1YdbhD7SCaptE/49IUnFRNYJmu4h\n+1Wp2kBKoT+YBVnt4iaFFRMYJ2jm4yFKACmDXinDUkXjH3MYu9XXwAsGUkwU8dWuR5Zp6U3F\nB93muozdoj7NQSECSJepthywTq2be/ZcP+H50Uu7ZUcA6eLv9Axz4UPHusSVEIc7CHXuJvoK\ndhSMIO3XuBTS0fQVmz/e79OINNhAc81AM90txb8+2eS7hVt9T6SGA6gg3f51RaF7xcCfn2zy\n9RaSABL5PbdwsjqfAAAgAElEQVSku90zPy5v+ExrXE0SBlKf1zKovuxVsPAR99Sh4h8+1R5Z\nJ4D0L8031ZZVp8ccEaDfPvbZrMJByqP5Crphbs9rXpNaKBVbP/Zxtwo2kGI70Turtr76T4Q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TZfibj0YPrDK2yM4QD16QPpY1ZprKzvMN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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "estimating size factors\n",
      "\n",
      "estimating dispersions\n",
      "\n",
      "gene-wise dispersion estimates\n",
      "\n",
      "mean-dispersion relationship\n",
      "\n",
      "final dispersion estimates\n",
      "\n",
      "fitting model and testing\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 6 × 8 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>SE8159_SA161918_S9_L007_R1_trimmed</th><th scope=col>SE8159_SA161919_S10_L007_R1_trimmed</th><th scope=col>SE8159_SA161920_S11_L007_R1_trimmed</th><th scope=col>SE8159_SA161921_S12_L007_R1_trimmed</th><th scope=col>SE8159_SA161922_S13_L007_R1_trimmed</th><th scope=col>SE8159_SA161923_S14_L007_R1_trimmed</th><th scope=col>SE8159_SA161924_S15_L007_R1_trimmed</th><th scope=col>SE8161_SA161878_S1_L007_R1_trimmed</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>ENSDARG00000000001</th><td>5.932641</td><td> 6.004157</td><td>6.003031</td><td>5.999226</td><td>6.009505</td><td>5.967755</td><td>6.101155</td><td>6.010898</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000002</th><td>7.382123</td><td> 7.171403</td><td>7.177679</td><td>7.178670</td><td>7.043171</td><td>7.080008</td><td>7.096455</td><td>7.025494</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000018</th><td>7.755281</td><td> 7.694240</td><td>7.835509</td><td>7.761530</td><td>7.907559</td><td>7.800154</td><td>7.795702</td><td>7.800296</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000019</th><td>9.966357</td><td>10.011868</td><td>9.945991</td><td>9.874120</td><td>9.915774</td><td>9.891220</td><td>9.996458</td><td>9.895883</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000068</th><td>8.326834</td><td> 8.385849</td><td>8.549285</td><td>8.408849</td><td>8.498600</td><td>8.551647</td><td>8.448690</td><td>8.556397</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000069</th><td>8.729184</td><td> 8.782718</td><td>8.779028</td><td>8.755620</td><td>8.697055</td><td>8.849507</td><td>8.772038</td><td>8.930504</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 6 × 8 of type dbl\n",
       "\\begin{tabular}{r|llllllll}\n",
       "  & SE8159\\_SA161918\\_S9\\_L007\\_R1\\_trimmed & SE8159\\_SA161919\\_S10\\_L007\\_R1\\_trimmed & SE8159\\_SA161920\\_S11\\_L007\\_R1\\_trimmed & SE8159\\_SA161921\\_S12\\_L007\\_R1\\_trimmed & SE8159\\_SA161922\\_S13\\_L007\\_R1\\_trimmed & SE8159\\_SA161923\\_S14\\_L007\\_R1\\_trimmed & SE8159\\_SA161924\\_S15\\_L007\\_R1\\_trimmed & SE8161\\_SA161878\\_S1\\_L007\\_R1\\_trimmed\\\\\n",
       "\\hline\n",
       "\tENSDARG00000000001 & 5.932641 &  6.004157 & 6.003031 & 5.999226 & 6.009505 & 5.967755 & 6.101155 & 6.010898\\\\\n",
       "\tENSDARG00000000002 & 7.382123 &  7.171403 & 7.177679 & 7.178670 & 7.043171 & 7.080008 & 7.096455 & 7.025494\\\\\n",
       "\tENSDARG00000000018 & 7.755281 &  7.694240 & 7.835509 & 7.761530 & 7.907559 & 7.800154 & 7.795702 & 7.800296\\\\\n",
       "\tENSDARG00000000019 & 9.966357 & 10.011868 & 9.945991 & 9.874120 & 9.915774 & 9.891220 & 9.996458 & 9.895883\\\\\n",
       "\tENSDARG00000000068 & 8.326834 &  8.385849 & 8.549285 & 8.408849 & 8.498600 & 8.551647 & 8.448690 & 8.556397\\\\\n",
       "\tENSDARG00000000069 & 8.729184 &  8.782718 & 8.779028 & 8.755620 & 8.697055 & 8.849507 & 8.772038 & 8.930504\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 6 × 8 of type dbl\n",
       "\n",
       "| <!--/--> | SE8159_SA161918_S9_L007_R1_trimmed | SE8159_SA161919_S10_L007_R1_trimmed | SE8159_SA161920_S11_L007_R1_trimmed | SE8159_SA161921_S12_L007_R1_trimmed | SE8159_SA161922_S13_L007_R1_trimmed | SE8159_SA161923_S14_L007_R1_trimmed | SE8159_SA161924_S15_L007_R1_trimmed | SE8161_SA161878_S1_L007_R1_trimmed |\n",
       "|---|---|---|---|---|---|---|---|---|\n",
       "| ENSDARG00000000001 | 5.932641 |  6.004157 | 6.003031 | 5.999226 | 6.009505 | 5.967755 | 6.101155 | 6.010898 |\n",
       "| ENSDARG00000000002 | 7.382123 |  7.171403 | 7.177679 | 7.178670 | 7.043171 | 7.080008 | 7.096455 | 7.025494 |\n",
       "| ENSDARG00000000018 | 7.755281 |  7.694240 | 7.835509 | 7.761530 | 7.907559 | 7.800154 | 7.795702 | 7.800296 |\n",
       "| ENSDARG00000000019 | 9.966357 | 10.011868 | 9.945991 | 9.874120 | 9.915774 | 9.891220 | 9.996458 | 9.895883 |\n",
       "| ENSDARG00000000068 | 8.326834 |  8.385849 | 8.549285 | 8.408849 | 8.498600 | 8.551647 | 8.448690 | 8.556397 |\n",
       "| ENSDARG00000000069 | 8.729184 |  8.782718 | 8.779028 | 8.755620 | 8.697055 | 8.849507 | 8.772038 | 8.930504 |\n",
       "\n"
      ],
      "text/plain": [
       "                   SE8159_SA161918_S9_L007_R1_trimmed\n",
       "ENSDARG00000000001 5.932641                          \n",
       "ENSDARG00000000002 7.382123                          \n",
       "ENSDARG00000000018 7.755281                          \n",
       "ENSDARG00000000019 9.966357                          \n",
       "ENSDARG00000000068 8.326834                          \n",
       "ENSDARG00000000069 8.729184                          \n",
       "                   SE8159_SA161919_S10_L007_R1_trimmed\n",
       "ENSDARG00000000001  6.004157                          \n",
       "ENSDARG00000000002  7.171403                          \n",
       "ENSDARG00000000018  7.694240                          \n",
       "ENSDARG00000000019 10.011868                          \n",
       "ENSDARG00000000068  8.385849                          \n",
       "ENSDARG00000000069  8.782718                          \n",
       "                   SE8159_SA161920_S11_L007_R1_trimmed\n",
       "ENSDARG00000000001 6.003031                           \n",
       "ENSDARG00000000002 7.177679                           \n",
       "ENSDARG00000000018 7.835509                           \n",
       "ENSDARG00000000019 9.945991                           \n",
       "ENSDARG00000000068 8.549285                           \n",
       "ENSDARG00000000069 8.779028                           \n",
       "                   SE8159_SA161921_S12_L007_R1_trimmed\n",
       "ENSDARG00000000001 5.999226                           \n",
       "ENSDARG00000000002 7.178670                           \n",
       "ENSDARG00000000018 7.761530                           \n",
       "ENSDARG00000000019 9.874120                           \n",
       "ENSDARG00000000068 8.408849                           \n",
       "ENSDARG00000000069 8.755620                           \n",
       "                   SE8159_SA161922_S13_L007_R1_trimmed\n",
       "ENSDARG00000000001 6.009505                           \n",
       "ENSDARG00000000002 7.043171                           \n",
       "ENSDARG00000000018 7.907559                           \n",
       "ENSDARG00000000019 9.915774                           \n",
       "ENSDARG00000000068 8.498600                           \n",
       "ENSDARG00000000069 8.697055                           \n",
       "                   SE8159_SA161923_S14_L007_R1_trimmed\n",
       "ENSDARG00000000001 5.967755                           \n",
       "ENSDARG00000000002 7.080008                           \n",
       "ENSDARG00000000018 7.800154                           \n",
       "ENSDARG00000000019 9.891220                           \n",
       "ENSDARG00000000068 8.551647                           \n",
       "ENSDARG00000000069 8.849507                           \n",
       "                   SE8159_SA161924_S15_L007_R1_trimmed\n",
       "ENSDARG00000000001 6.101155                           \n",
       "ENSDARG00000000002 7.096455                           \n",
       "ENSDARG00000000018 7.795702                           \n",
       "ENSDARG00000000019 9.996458                           \n",
       "ENSDARG00000000068 8.448690                           \n",
       "ENSDARG00000000069 8.772038                           \n",
       "                   SE8161_SA161878_S1_L007_R1_trimmed\n",
       "ENSDARG00000000001 6.010898                          \n",
       "ENSDARG00000000002 7.025494                          \n",
       "ENSDARG00000000018 7.800296                          \n",
       "ENSDARG00000000019 9.895883                          \n",
       "ENSDARG00000000068 8.556397                          \n",
       "ENSDARG00000000069 8.930504                          "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JRyV+y7i46zpKZfL08ISc9+LHIay7sm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\nPpfPvSRNvrtXr7snS3S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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Create the DEseq2DataSet object\n",
    "deseq2Data <- DESeqDataSetFromMatrix(countData = rnaseqMatrix, colData = samples, design = ~ Treatment)\n",
    "\n",
    "# Perform pre-filtering of the data\n",
    "deseq2Data <- deseq2Data[rowSums(counts(deseq2Data)) > 10, ]\n",
    "\n",
    "# Inspect pre-normalized data \n",
    "pairs(log2((counts(deseq2Data)+1)))\n",
    "boxplot(log2((counts(deseq2Data)+1)))\n",
    "\n",
    "# Run pipeline for differential expression steps\n",
    "deseq2Data <- DESeq(deseq2Data)\n",
    "\n",
    "#perform rlog normalization on deseq2 object\n",
    "rld <- rlog(deseq2Data, blind=FALSE)\n",
    "\n",
    "#a handy variable so we can easily reference the rlog genecount matrix in the future, as deseq objects contain many tables of data.\n",
    "rlogcounts <- assay(rld)\n",
    "rownames(rlogcounts) <- rownames(deseq2Data)\n",
    "\n",
    "head(rlogcounts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Normalization of gene readcounts across samples will help to minimize sample variation noise and ensure more accurate comparisons.\n",
    "\n",
    "Normalization of data can is often verified by inspecting by various plots, for instance histograms:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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W2yX1G5RWjfffd4VhJSSHNCMkhrSNfk+5dclFuE/ja0xlNFSCHNCckgrSHJpYmX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\nUfXJjo+PAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “Histogram of rlogcounts”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist(rlogcounts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Boxplots:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tpB1OW2IUNu68LUwbuHHrorXZbT73qI5w18gK43tR08uK3pep6h3LvJ5P4WPGji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\nAAMwEgAM/D/SHGG9azgiZgAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "boxplot(rlogcounts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or pairwise comparison plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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q7QQVqCG/t4jjqPigYSGEUOvM5vTAUJN27N70sHCXC0mt+YChJoj3bxG1NBwodx\nJd52TtWRBtJLeIE5cqaAtBe/xLVeNvtLG9FAwmtlivUOR+aigYQbn+LAlwoSPvol8w1d6qKB\nhLdHjq4eDaQ2uLGTHB9pIM10XWAUkMpxjl5nnKYKRQEJr+6PsM86wEQBCTc2HpXLIgpIOEfp\njowpIOEcyY6MKSAd5/r2eoSBNNl9gZmDBIYD+LbWrJY5SHh1f82ZsTlIuDHD2lIzmYOEc+Sk\nw6jQQMKH1XzOjM1B6iCgWhxRIIFZzk6dzUDaJOBKmIJUgeeYvle2tUxBwo39bGvXDDIFCQe0\nlTNfc5Dw56OQQ2NTkPDDrJ01dMqRBdIbeOWZ4dTZBCS8ujvmyBQkvFY6NjYDCTd+9k+HxmYg\n4W81M/nH63SZgYTvqOqUI1OQ8NmRjjk6kkB6GefI5FxqRhlBqhTCkRlIeHXnH+uNyQQk3Jj7\n3WO1TEDC+3WdeU5hADIBCe/XNXbqawYS3h7xzboEOnJAGifkxmMGElYrXXBkApIgYyNIeHV3\nYWwECW+PHLwBiMkIEs6R/S5EVBlBaogZB5wbH0EgibnxmIAkqLobQcKbDcbF36YygCQLyrEB\nJJyjhS6MDSDh/bohLoyNIGFKdWF8RILk5sZjAlJcbho6I0hYrZT4Zx1gIkHCaqUrjowgYWVB\nPeaPRQaQMOMb3BhbgZTpxvhIBCnozpkOksMh2ZhIkERVdwNIkihjC5DcGVuANN2VsQVIzh+8\nNJmCtHXSNUOvfpxjon5NAsnqbDsWUUFyyREdJHcNnQVILjmig+TWmA7ST+6M6SB1pvwFq8xA\nmpN6zOi7RvdO/4bDp8aA5OxVOyYaSK4evFSRIEmCaiUVJNfGNJBcG1NBst2e2UZUkHq4NK4+\nsW8x9jTbabL2z3tdOHxqCkg8J7WbiwKSuwcvVSRIspj2yAhSUFB1p4Hk3pgGEtMOnlaigeT+\nASd2d5KxRV2Z+mqMEp5KJwikd5EwwU7A7/Z/wCq4H345edSVc90Jy8JwRo9jERtJNhFm3AYa\n3ynM2A+PIzIcDONccFXkT+KMX9ZPNcffQZ84ak/ks3iM3YFtuASBVL5ooSCRm/kuFWW8kBhB\n+0OY8R5ovFaYMbG96RZhxsTpxHuEGf8BjcuEGZO7Ry8RZbzI5CSyf4pC7Xt1DHfheTEtCCRP\nng4nLXnzmel8c5g9kDx5EiAPJE+eBMgDyZMnAfJA8uRJgDyQPHkSIA8kT54EyAPJkycB8kDy\n5EmAPJA8eRIgDyRPngTIA8mTJwHyQPLkSYAEgVQpbDYuedbP76KMFxPTfP8SZbyQ2Oh4gzBj\n4hzqHcKMidNP9gsz/gsaly8WZUyeLfWrKOMl3GfXmEsQSDPErQ+BJ4itEGcMNw4uD9r/BaPu\nhmXRTpgxsR7pbGHGxE6qdwszDsC71WvCjBE8AH2ROGPHO45CiVohW2eHaz0fmLZj2xjDCtm/\n3DtrKiRXyH7m2nJNzrl/7/giTG7HNcl9Ztv3+XbboswTofGpo137ruvf/n87VjatD41vGeg+\nx9fkfbdjfV9yhWyhe+MXQlN3bL3GsEJ2k2vjb/x3bdzxdPAN/tpupqRZar6xF0Lhf9udau5C\n1qeaO9HGDpEs36e0tDzV3IlWj4ncKdv91I8E6Rbz5MyqujPSDJ+5XbmFBOlU8/TsWtENoZwp\nykzLU80d6TE/Qr1Xb7M+1dyJfslHKPMZJf0wA+lxCSHflWmTaxBIb/siWT47dUpbwSDNqRvB\nqMP3w+oPEA3SjZFCljLPUMaKBqlYPTcv4JszWzhIx0aM87p33SIapMrjI8ZNJgQ+zji8QPpW\nQlNH++Ure8+rMSCt9aP75FbonONyxIL0V6p8fMeAv6ikTm3BIG2R/c+0byJJu/uLBuky1ObE\nNrnSqbeKBulm1OL6vHC29IRokM6W0H9C/iaXnpJyWIH0W9cAKi7tiuqnh2sKSBXnS9L+8YFA\ntj9TLEjj0waefUnkKf2SVP8gGOMSpN9Go8uVBSkh1N1PbKroEqQN72ehrf/ULUQpsliQdn2e\nGZ6wv2Nt5A+IBWnbx8EOWVVDwqizP3wYgVR+HJKQ9LxSEg41eL1mgFT1cHqka9C77ONMf5uT\nhII00Yd8cm5JZ7lz4FTqqeYOVD4QySh1pfJnHhp5H/1Ucwea6I/0cR9Wtl6DUv8rFKSPM2WE\nCpT9DyD0mFCQ3kjzRQpjYcU4lN07/zAC6RRpWDdJ8v3nSeT7sYY8I93rKxgYqfD9pvrkn6in\nmjvRiyg/paEstU5BzY67WTr6MH0AACAASURBVCRII9EpV0ooY/pdUgr9MGYnmivVfijy3D5u\nWkd0Ef1UcwfakOK/PjuIOr9+OjqLfqq5A/0R8F2VkoqyHj0Jpa88bECqui0T+Yb/HQigHEn+\nvIaM2u32obBfktL8svQG9TBmJ6oKRfCUGob8KPOmXdRTzfm1tydC9b4olFA4KD0kEqQfm0uo\n6eoPJRQKS8H/iQPpu+bBEBp889XI709BdUsEgbT/8sxA/pND5dO2jkeBUDrK+0U5bEAaEuki\nSajh13lIbrGUfqq5e4kDaeVJEkJ+uXEk5/Vn0U8159fuqyJ9mTCKdDsCd5TSTzXnVtV9aoYR\nmt0dSVkPVQkE6X/aNpvyindlJLdZQD3VnFtL5bSsSHd/QFYzPwoM2EM91ZxTx6FuI3IiGQ7V\nWjzOh0LnlCmHDUjrou+XrzlX1jZwrAEgbczUcjwwvT06Rf1dGEjlBZpxluz3j1d/FwbS1Zpv\nELW6GWmbWYoDqa5+9Vovly5RfxUG0jEhbSth328NUhqqv4sBaSEarszUMiy335iWq4UlAqTP\n9inKS0OGfWYS5RSkqjrqt1KLLHoOVQ0AqXeUfZ+Mnld/FwZSkfoyRiuPzN3q76JA0o7K9UUa\nfp/UTQsQBtI83RhJqfIv6u/CQKot6fWiQbp0n/q7GJAmS5/u07KrvpwK3ayFJQIktEJ5IO/O\nsXVeN0Y5BKm0jfq1wuqFPlGfpZX8IN0ducKyBn9ttFoNEAXSNRqeKeqHvleuIJCqjlItJbX2\ndNcLUxRIqyKeYa3pSJumBYgCaYusNqDacegNtUmlYkD6XLo3qGKUEbGXLijRwhIEUqO5ivJ1\nB2OUQ5DaalUnQ/1cr4ckPUjakbY+dcZrMKWuFiIIpEvj8yjb6yFiQNqSrVqmquT3jwYJAkkr\nCv+lEefC6InTgkBaozYb6qA6CtSboIWIAWmvVtNQql+Kb8qfIJBCkd7dNpMjvxyBVNWjuupI\nsVeEyQ7SRdH8qh+19RnJYkA6P85RaKceJASkf+KHY0i7omFiQBodz3HsBBExIC2PH03o66sb\nigHp/rhxk1hYQkB6alm/9xVlajtjlBOQ/sEWMvi/jAYmOUi141keFDvPTQhIWXHjlNiiHhEg\nzcBOhn4yFigEpC5x4+rlHiJAKn0ybiw/HV0tJASk2+PG0oJYYCJAuqhnHuqqTAu+Y4xyANIB\n7EjUQPVR2kkN0u7s+KUYXx0qAKQKf9x48PZYqACQro37Yqe4CgCpNC9u3LQ6VABI6zLixqFN\nsVABIM3FjP2Lq4MTNPy9c7kyH1/DunnUFZqOCfH+x+X5cY7Cb1cHJzNIe7BLMSEeLAAkrD3C\n7lLuQXoDu7l/GA92D1J5Tty5UfyMLgEg5caN8w9Uh7oHaSnWNOdgJ1olyXukzVfpILXnPDax\nGHu0Rlf+HY9IUpAqnuna8GSsul+OxbkGqSrVlCP3IN0U9/VtxsJdg/Qu1oIOw9ZquwZpVcO4\ncS52qqtrkBakYGWBHzmXJCDFdC3fialVfTGOJuIxSQrSmOzxr2CVpxse5xakYuxeeQ4e4Rak\nUVghg5XabkH6EcvxyXiEW5BKM+PGwWIswi1IG7GbIPoaj0kESKNjMkZxgvQi9rXagpjkBGm3\n/NFqvGsATtF0CdIyrCx8VXiMS5DOxIzrgRiXIG3Gjt+FPRG3IJ2KZXknHuEWpEGY8YUgJhEg\nTc5tO0qTMYoPpAexr5UFo5ITpB+kpViW5WIQ6Q6kA5ixtBJEuQJpa3PMONW6fnOB9O1x2C1F\n+gHEuQPpu0ZYlmeCKHcgLWyBGXeBcQnp2o01QUgXF0inYF+rExGXnCB9g+UY5ayCka5A+ggz\n7kFUDjcgLcRqOyLfV7gB6WXcWPoWRroC6VG8kL+GcW5A2nwSbnwpEZsQkBZTqwgPSCOwrzWR\njExKkPY2wLJ8MRnrBqRPMOOOZKQLkLbj1d1HbgrnAqStYBezJ4hYNyAtxo3JpwcXIFX2wI3T\nyepUcwcb8PtDa0NsUoI0GMtyH0OsC5Dwlq7RNjLWOUgLsIERlGmYZewcpNJ+eK18k4x2AdIa\nHP2nyVjHIG26ujae46bryAQ1FqRzsa8lrTZEJyNI5+GXYqUh2jlI+DaHtY3RjkH6Dq+UrcoM\n8Y5BWp+NF8XZxv/YMUgLcONUQ7RTkH7JwG8pyGdMUUNBqqqHf68xxgRJCNJw/Er49hriHYN0\nF14Wy4zxDkHa1hn39ZuUn1OQXsABRegjQwKnIO28ARhPMiRwCNLqAPBFLxiT1FCQauFfq9ke\nY4IkA+mjs49rieVY6niGMY0zkKreaIaXRS+TJM5A2hEGdWexSRJnIO1pCowzsRkNMTkEaaYP\nN5YND85OQfoTNKAIXWKSpmaCdAv+ta4oNkmRXCA9Ery0CbgUpxgeZJyCdKuM+/Y38XUEUuUb\njUCGTzZL5AikStDQIdR+iTGNM5A2gobOt8kkiSOQtteDOS4w2y+/JoL0ZSr+tbaYpkkqkPYG\nXwdd7E9Wm6VyAlIpGOtFD5smcgDS9maw99XT7GblBKS102CtzJ9bYZLKCUhVX4AyxucExuUE\npKWnQY5a/WOWqgaC9Bz4Wo+aJ0oqkF6DtdIw4qPLAUh/FwJjSnXjB+kdUCcRutk8GT9IT4Rg\nUeSZ12MHIM2rBbP8rmkqfpAqzoQ5RqeUm6areSB9BL5WlrGDrSmJQPpvA3glDC+QonIAUj9w\nkRub9esUByCt88EcN6ek4wZpvl+GzmvN0/GDtIYYDiDfTEXFD9L9RFmccMA8Xc0DCTwDd1hO\nSWUC0qLzIh30Gwo7fhz5Ff9Z04x2Tdu/F41Qnm7T4ato+Ap9yoQeon3mcIL0TFpjUN170xLy\ng7QfXOI6tGS8IJXVhXXHv5uSkBukAdAYXUBJxw2Svp9EXNdT0nGDVJEJjY+iJaxpIFV0w7/W\nW9R0RpBuL4ww8mq/4g0NDij3Yj9r2pS9QllZuEmP+Lt58arYA6UOkh6if/K0SGUfPflZUzAy\ngl6hJuYHKQSqOzUZL0h5IMMotIaWkAukAyv2TyE4uot2yh03SBdA46to6bhBKoLGTagJaxZI\nv18Gbu7n01MaQXpzfISR6yYpSv95ysfYz5qWNo88887aqEc8G+l8tf5Zj9BB0kP0Tw6Q1rVN\nbwcHkdFN9CzzgrQbdJNk4/vSmDhBehzm2GKFGAdIZTcGENmvM9lFKio+kEofI1q6IdSkvCAN\nhsaZtLY5aUAqfnyCpmMsF/bN9QOOGlokNenazY4w8tTg0rXpbysK/rOmIQVjZqv3RzXingmK\ncnq006eDpIfonxwgDTx++/v/AlfCMGcFEx9IVYOAMSLPzMXEB9Je4uHabBQ5Kg6Q7sj/YD18\nf4QepxtzgVRxPNH9MtmdKiZOkOBYDgpYJE4SkP7s3lVTHQuQSh4Gw94oTBln0EQBqWRYQc9e\nn+q8xH6OJpjYq2izHjHuwQhYH+jBOkh6iP7JDlJJ8Ok0eCWescgxJ0inAmNpmkVSLpD+gjlG\n51qk5QCpzquriLIwmctULS6QphHjDBJlzEUVB0jfXTiQuKVYjlclCUgxWXTtynvVB9/KT85F\nBqKAVBbpAB23XOcl9rOqD9SWadQkPeLZkYrSJrqNSrRrp4Xon+wg7ZKIvoxVe8QJ0nxgnGrR\nbPCB9A3MMaprPtirix2kYkS8jEHSVgtjLpBaEM7PW6RlBqniZGSQRUtXk0CaUhsMREpW7REV\npI/6VizurOi8xH5W9UO7f5Rtg6brEX+3LV1XEH1PGB1s0EL0T3aQSolbpXGOOhAPSKXgZhm0\nNuYAaQ1Rd4bTn7wUrhYpk7i7yxutjHlAIo5Sl7+wMmYG6V7p0jOhMWpkmeWaA9IoOKBv0X6r\nooBUdXnTXuq2A/jPml5qW1jw72iE8nRRUfXwd7B58+a3RUO0T3aQ5sMGyfeJdZZ5QALVUrJ5\nRcYOEmznkPSHtTE7SBVkL+lbWkpNHCA9SxjTR0VVMYPUGD1GGI+0HpaoKSCV3Q9rpcmeeEDJ\n8EL2UpDjOqZzVjAxg1Q1Dhj7qyjpYmIGiayUlp1nhQOkmUFoLM2xNmYG6fM+0DgwnZIwKlaQ\nqogM4/sPmqumgHQz5KiZXeVhBWnN3ZqMixqoEcwgwWvskzt8SkkYFStI6+oA4+A8a1t2kO4g\nmg27mxUzSLcQxtLXNsasIE0kOs+p+22MWUH6jGxBv7cxrikgHYBfLCP4k3m6aiW+RXob3irf\n+e6mwHxLY0aQpsFbSoPL0+waDkaQyPG6Y2xsmUG6hzBGw8MWg/WqGEHaTkwJlP42TYaJFSRi\nbgfK2WDnXENAugJ8rZMrzhxhY5RwkMrglVgUCRo6zNKYDSRiBKNehXICbT5MTIwgES9NWpms\n8iLEBtISYrZa5Mlr4NXWxowgfU5U98m2OWYE6RPCuH7bh+ycawZIE8DXulJRHjjaxijhIIEm\nNJSmBk0ssjRmA2kaKArV9/ZBNjlmAmkVMYoces3GVWEF6V5ofEakV353f7OEcbGB9C18r1jU\nzGThKiE2kDbBRl9K/e+F5KZBBtUIkKaC7+VbFrm5D7cxSjBIcDppYDlSt966gDZHUxcTSHth\nrVRfxpx4nU2OWUB6kegljZTtOs8KI0jrYK9cUl95nUKdDKeLCaQbofHYbcG5tjlmAmkX8eq4\n4LnKDg/aOdcAkKbDlSZSvU9+HhP4wZgOKLEgPQlz/HzVwPYfLb4rYD3mywQSmKfq697ji0XX\n2j1wsIC0Gvgi9FzXY80W3BFiAYl4pAsf0+3zn28MmS1cx8QC0tOQI/+snt0sX3ppYgHphwxg\njPp98+MFuaaL+XAlP0hPwa912dcXBVFLu6HkxIIEu1/SI4qybUQItZhpSAjEAhLYPMC/bf1Z\nAdT+S2MyKAaQXiHmYATPs5wrERUDSM9DX9/CjUODqK3lS1OFCaTfyHG1wJm2lZ0JpO8I468H\n+KQe9s1z8oOUAr6WOpxfvsv4h6QSCdI78ALri9fsM20PUhV4jvGpbUaZ/ZAAC0hw9tXlu+3v\n7aoYQILvY+qqXdEy+hTqmBhA6gqM5c/3MGWZASQ4YCfvU5QS60k0upIeJLBxJjqe1SiBIK2D\ndzTm/9cepFxg/DmrsT1IrYDxUlZje5BuA8ZW0/WB7EGCg6KhPxmN7UGaA6/eWaxZTnaQ9oGv\ndSuzUQJBAjfhxiHmPXFtQYIvYqUfWY1tQQIbelF2kzGTLUjjgbH8C6uxLUiQo1TKwnKjbEGq\ngDkuvIzVOREgfRZpKl8aMsywA65iBOlb8L3aMTwAR5U4kMBjTP7RpzEb24EE9nAPoXolrMZ2\nIA0BhVyLOcO2IMEpsJLtu5hq2YEExy6lU5jrhR1IcLQ1pVHwfVbnBJ1q/kDenWPrmKyQJEDa\nDL7XCbSVySZKGEhg84CUYBfLKcNANiDNBmWBsuzGLeOyAekz4Bv+jdnXFiRg3MZmpA6XHUjA\nOPC83XyxuOxAgpPqc313MDsnCKRGcxXla2x9R9U3szSdDkECBcbcMVCVKJDARNUek7/kYN8a\nJPCyXTrzNeMkQKqsQfoCN/Y9w5FhG5DKwdVjfvBSZQMS3EyGsq2PqWxAAsaPvvuqzex3XAkC\nKRTp3W0Lx4OWVU8jwdLBufc7DT5WShBIYDmYz3amI5AlSKCPK/EZW4IEhupNNoe3kiVI2wFH\nVgttjbIGCVQL8swma1mDBN4BwBMgbZUQkJ5a1i/S95xqUgagawcKzPbVMlRiQDoHz7H/ET5j\nK5D2gOpu/wYfyAok8OrYzzbqXS0rkODYZVOrhbZGWYIEqkUtlqHpuCxBAi9agtu5jBMC0kU9\n81BXZVrQZJo+DhIoMJsFLAYlBKQf8BzfvJrT2AKkYty4H1/bbA0SbgwPiGWQFUiAI/q2aeay\nAglMgb2X09gKpHTc+DiWF9K4EjT8vXO5Mt9sZkscJPCCmb5nG00JAGn3tfiVsFsZYxQVpNKJ\nuDHPIeq6qCBV4odZo1xuYzpI4MHLcmcoU9FBWop3vyS+k5QVK5BWgYlotqsmDErW90hgKMl2\nDahRhx6kkg54lpnfP8RFBQlsHtDF8He2ooJ0I25cwNf7UkUF6TXcWObrfamigvQTbsx5Irkq\nKkirwKRd9ldp1UpWkPD2KOTA6NCDBI77CizkN6aB9Clu7JvBb0wDaRVubLHZJlVUkABHtF2l\nLUQFCbRHPMN1UVFBwl92S5yPR5qSFCR89Rp/v05JAEg78cpTx/wsBGvRQMKNMy13xqOIBhJu\nPMuBLxUkvLoH7GfWGUUDCa8WHMd2x0UDqTdeFk6MkxQkfFJ/mHMoSdehBqkKvxLP87yMqRYF\nJLxtfsRRWVBAwo2pe8NbigISPhxgtQ0kXRSQsjBjzpH6qCgg3YcZS/zPEaqSEiR85SP3UJKu\nQwwS4MjkCDoWmYOEV/cPnBmbgwQGc2yXpZjKHCSco26OfCkg4d0vR+0RDSR8SiD/yIiuZAQJ\nX1hFPavERocYJMn9lTAHCTdmn20EZQoS4OgeZ8amIOEcNXXmaw4SftSfk8dmVaYgTXcPaFKC\nhO+1TjviylaHFiQRHJmChFd3x8ZmIOGPMU/85dDYDCR89CuTYx4TkBlI+GHWNlvL0mUG0q8i\nOEpCkHCO+OZ/4DqkIAnhyAwknCMnD+26TEDCOWJejmGQCUg4R61td8eiyQQk/DDrDKe+ZiB9\nhxk7e/DSlHQg4eMn/ZwbHUqQxHBkAhJW3R0+AmsygoR3v1wYG0HCh9XedG5sBAlvj3KcGxtB\n+hEzdjQ+HFXSgYR9L7udgqx0CEESxJERJLwsXFR3I0gYR5KjAcaoDCDhaxrfNv8bJhlAyseM\nm7gwNoKEKeDCOOlAwr7XlW6MDiFIcTnvYasiQcKru4N3j3GRIOHncrnxNYKEGa9yY2wACTN2\n3t1XrEFy/OClKSEgbZ10zdCrHzc7IAcD6URX+UkESO44MoAUb+lcNXRGkGRRxhYg2RwWYiML\nkBwOqEdlAZLTgcCoEgHSnNRjRt81unf6N8aoOEinu8tPAkByyZEBJFHV3QCSJMqYDhLD3kZW\nooPU150xHSSXHCUEpE76Hs3v4fMv9+3QVL3Hd2+X+Tn0ILnliNoiua3u1BbJtTEVJP5pqlBU\nkI5zaUwFyV2/TkkMSJn6JPUSbJuNX4ld+Xq6zc8hB8k1RwaQZEHV3QBSUJQxDSQ3AxiaaCC5\n7KbQQUp1a5wQkE4cpbb8xWMGxoOqlizUdL8OVK2mblWI4OYgv6AC1566Ai8B4zI9xz73xqnE\nZmP6YIPs3jiL2MlIH2yQ3BvXbgGNbxVlXF+Ckwpf0qt7fdfGBcTOH9GlmGH3Wfa5GO3HxQPS\nP0Wh9r06hrusM0btfvE5QZoK72kVr4gyfpFo2maIMn6OeH85R5gxMflviTBjYt3y38KMicUi\nO4RVi1fgzl2lU0UZv+j8hTkQ3zjqkjefmf6zmP/Yk6fDSYLeI3nydGTLA8mTJwHyQPLkSYA8\nkDx5EiAPJE+eBMgDyZMnAfJA8uRJgDyQPHkSIA8kT54EyAPJkycB8kDy5EmAPJA8eRIgDyRP\nngRIEEiziAV+zuX7HRj/HbT/E0bNBMYVOcKMiUMJewozvhgaXyLMuDs0flCYcTZc7TBTmHEA\nrlX53W//J2ySHB1DYJQgkN7IXehWP9zmG/HdrFMMK2S/cu38Ukqfj7+5IkSukH3JtbGu48jt\nuMa69+zSaMwXTwaJfWROvdC177Sjcyb/+EpOfWh8y3Gujb85L3TX/PdakCtkG7o2Xvgv+bwv\nPz/BsEL2B9fGb4V6vzr34kBybcf1Rr5bh2UFvhTpvPJ94peaj5F96XVnK9mWp5q7kPWp5g5U\n9deVqFZWrfd6kyDdYp6eWSVDZNnf7k9lNAnSqebp2fV1vi/Vd7sy3fpUcweqGiWlpDaav9H6\nVHMnmpMh15dHV6UdZiA9Fekb+h/Iv0/8ng2nRtrvvHNr78irKSDNUk9v6LPxX+n9RIM00hfp\nytTpqdwjGqSdqTJCoeCbc4SDpPaTG5zZRDhIFf0jxi0/yHgx8/AC6XsJvXxhQL6laIVokJ5B\n9e8LZ6ZlvJ1eQ0BaGZa7F8m+PlVNGggGaafsf7xJUxltOUs0SKNQ62O6ZkkDJogGaQxqOaJB\nONc3WTRI5yH5ztRAsxtOCh9WIH13lB/t3tFYap7bUDBIq/ODl5f3aoJSG6XWEJDuTjv2zIvu\nl9D9teSTrP8jTn1/GRqpzPSnoWG+hjDGJUgrp2ai7b+kHC1lpIoFadP0zPB9W+q1Q4FaYkFa\nOy3YNr2kax3UPzXlsAHpyx6Nc3wBSRqvrA/5csaJBOmnXjmyJEuTdt+O0IUFNQKk79tIKF1O\n29pKqi0PpB3G7EBPtk+V0lDKr8rsNNT7euqp5tzaN6xZbbmOhMYpSweg4B3CQNp+ftN2F2Vm\nS6he2drhCN0kCKRXuxYO/FN5PpyHZPmjnRehYNc6hwtIj6D0WggFUaZ0/g0otFrkM9LrknYU\nZ1C67GR0KvUwZtcSCZK+f1WBnBNEGRdSTzXn16koTVJPDQiPPQul0g9j5tbeDLkBQr7Is9d5\nd9ZDl1MPY+bVljSpWR0UDESMm9x1NLqWehgzny6XMloG5KmBQn+kNIKX9EANtiXZJvrOQQp0\nmuILhbN9Mmru8/0qdIPIjLx0+cK6KODPkrMqagZIKX6pRyZCtYJygxcrxYG0EPXwBy7xBxFq\nlCE9LBCks+WXC6Q6aIyEchv4QquEgTRYXqi8IqOmfZCUni81pJ9qzqUVqKhU2ZXq99V6axyS\ncxughtuT7TQKxyD9jk4OoLR09FYWkgp+ErrT6l4ko3CnLJSGpC7rqaeau5dAkL5ESO6elRG5\nx1+9l36qOb9GRprl/HqZOW0RypxAP9WcX03qSrI8EA18UUJyq5+pp5pzq17rPTenINT9mHQf\n8vXZJQikl+UZijI70jDX979xh4wCg/cn3bEujkFao71dltA5F0vl6u8CQSpUreU6aKo+pyH5\nQSq5QOvY1YqUx7/V34WB9KOkd3Fz7kRr1d/FgRSdHpLzs3yG+qswkAoLwqpvaFOXUJb6uxiQ\nZkpvK+u1HaX9df5OC2izMA4TkP4s1DCK3IKlTlqAMJDK2quuKkrBbC0g+UEaVD1tJVys/i4K\npL2BiKVafzLlXC1AGEgfRYxT1AynhrUNoYWBdI5qqj4tZvgHq7+LAWlbsOGHkcdmWXXObthL\nCzMD6bN9kafVIcM+4/FOLEhr0mNVB4V+1UKEgdQmVitDsr5Bb9KDdGv1/C/5Ky1AEEi76sR8\ns+T3tRBRIL0cm2Ep5xytbfotCqSvYgdvyJn+5WqAoMGG1/UMqxP1WoX0M3jNQEIrlAfy7hxb\n53UO64SCtEvrGeiFNl8PEgTStgzVs45absfqhCY9SOfp2Kt3lQV6iBiQ5mqb+h+vlnLvqLEg\nkI5VjX2t1K7dg/rRhGJAqvqPet2kQKTCS76ntCAxIG04TSvjTmof6OIVehgFpEZzFeXrDhze\niQSpODs+B7dpNEwMSLvjc8arz0dIcpDOizXN8TOmhID0U/TmHvknGNsvXghIVSdUlzFaHQ0T\nAlLJSN1UPSBaulcPEwLSutz4mYfNY4EUkEKR3t22MId54kAqvy5+IVBgXjRUCEhvxI2lC2OB\nSQ1SRUo8y+lro4ECQFpWgBVy9bk2IkB6FlvI0DYWKACk0oH4IdlfRkMFgPTr0bhx9VEQpiA9\ntaxfpBM8lefY28SBdBV2iaXqQ5FEgPQF5nxG9WGOyQxSGVYru1WfM+IepOJcrCjerw4WANIH\nmHHq3lioAJB64dW9eq2Qe5BWpuGHZH9ZHW4G0kU981BXZVrwHQ7/hIG0PV5gcvDO6mABIJUE\n4gUWrzzJDFJJk/g1fj4e7B6kT7Dqfls8WABIDePGodXVoe5B+gvF7yn+ZdXB7kG6vHG8Wviw\no4myrnlL07vQcOdyZf6vPP6JAmlP/GuhgRj5AkBKi3P0Pyw4eUEqxxbrfo2FuwbpXuwe/B4W\n7hqkT+NPt6jb+ni4a5D+6RI3TsNOWHcN0tIwVhbLsQgpSz+5r/n/qH/LpISAtHn8+dit8lE8\nyiVIG+4ZinUNFuFRSQvS1vgjMALHc7oEaSdWKdEXeIxbkD7HyviEKizCJUj7H8uMG/s3YTFu\nQdqCGaNn8Rj5Wi4jqhIB0vJaLbCv1QDEuQNpSUZzzPkDEJesIP2B5RieLewOpLXY+AUqBFEu\nQVqAkQ9PhnYH0u42WLOBwAGrbkHqjRlDcsxAGh0Tx/+QCJD698C+Vno5iHMH0jGnY863w7gk\nBakC52gviHIF0t48zDgbxrkCqfQFrFcuwYNQ3YF0cwaW5RdAlDuQKsdixv1gnBlIk3PbjtLE\n8X8kAKQKfAeYIHEWriuQSrFLjM4kIpMTpH1Yjq8k4tyAtAOvlMSx665A2t4KM5aIc7ldgbQS\n34lqEYxzBdLHeLU4i4g07dqN5UFI16EHaXUD7Gvl/kjEugLpGZyjSiIyKUGqwnLcm4x0A1J9\nzPgoMtINSGdhxogcH3YD0te48Q1EpHOQVjzdGDdO/YOINwVpMf8bjEMOUgX+2JdWRka7Aels\nzNl4BZMSJOwmnN2LjHQB0ilYUXQOLCZiXYA0Eq+VWTuJWBcgTcCNLyLvgk5BKj0ZbrgoX06m\nqKmDDa/68O/1liHeOUhb8YfropChoJMQpA1Yjtv8grYS0Y5BqsIb/QLl6P8Q8c5BaodfvcfS\nPiWinYN0P27sM0Q7BGlPAQIg+e7vSSapoSDNA/eHHGMC5yDhLV3eEsnwZ8kHUil+qyxbj8he\nh0OQKp8GD6ElyuCbiRROQdqDlzFqoTSYRiRwCtLffXBjqa0hgUOQTpUAR9Ls51qSSWooSKA9\nks4wJnAMEvaqHfkr72hhSJB0IG3Dy2Kb8mgO2Z9xBlJZN3Cz2q38k/0mkcQZSBU3AeOOZfMk\nEn2HIM0B1cJ/1DWGgjhk0gAAIABJREFUFM5AGoagllX2v5BMUyNBKkkB3ytzjzGJU5DwQSp0\nzWk+stORfCCtwHPc9p5zfa+RKZyBNBqUcerNt+afUEEkcQbSv4CxfOeo1BvJJM5A2iED51b1\nNhmTOAFpBrEhfd17uuf8TSaqkSCBnoFvqAlHTkFqhBlLTftc/LMxSZKB9C1eFlOv6TvsW0MS\nJyCV3Yf7Sk9NOmXQo4Y65wik3aBaZt3S/6zXq8g0zkAqBNW9yy1bjEkcgQSbZnT0ucdfv96Q\nqAaCVFYX/1r1zRNxgbTus5/17lA+7nzdftPESQXSzhF4jp8zT8QN0uYv5uNveRAyLwlHIG0G\nHDUwT8QP0rZZP14A0DdP5gSkDaAoEDnCGFXNA2lBGvheH5mn4gCp6jpfCipaTTrT+EgmkN4B\nnRljN1QXL0gPpMCuM6Lt68EDUvmHT3xQrlQ9BoxlSmJukB5PDcHhAPI5MSp+kL6+DHbsjG2R\nrhoH0pfge8kdDW+QdHGA9ET2V8r6fj2qRgBnk06dLiNIi85TlMobCjt+rCh3tG4yUVGebtPh\nq1j8jHZN26szptVEsU9VK/RNWvSk2mdrbpD2AI5OoyXjBGlm8G3YmQnvpaTkAGljh/SO6e3X\n9wXG0k2U1LwgzfI/CcYZ0MeUhLwg7e8HfdGJtJQ1DaQSUNv9F26kpOMA6djxkY+V6D+gVv5E\nzYEBpEsLI3S82q94Q4MD89qUbm286O/mxasKorfETdkrlJWFm5R71UTRT006SHpS/ZO7RSrB\npx0gk6HLqDhBuvCiIsjRElpKDpBO77Vd2X5sPVgrR5RQUvOCdOWZsNk4npaQF6SbiPPpsigt\nXU0DafslsAFfR03JAVILdV5jMXxT0JCW2ASkh8dH6LhukqL0n/fOE4py/oxnL1aU1tEWbWnz\nisgNc6PysZoo+qlJB0lPqn/ygnQAX96AOtMTcoLUH59SFmn0b6emZAepIk3dk+pqWCsNg3XV\n4gTpk+ZwvK6x2fCTJk6QSgiO/OTcjrhqFEi/pcPv1ZWelAOkc9Q+0RRgfHk2LbFZ1252hI6n\nBpeuTX9b/Y8a77pnQuQOHOtcDCkYM1u9jc3WEJpNgKQn1T/5QKoaDypPikVSPpDK4Vme0mn0\niZfsIB3wz1OUz+DVu5gcTY+LD6RLApCjTNpzDDdILWCOAwvoSeVz9fP7lhqGIPl0SEDqDr9X\n+AV6Ug6QlqcNnDQEGJ80rD/d2RykkmEFPXt9qlRObL5IGfdghJ/qRUxLJvYq2kwDSU+qf/KB\nNAlUnjSrmsYH0umgKNCEuvRscHTtii5VvoHGVuhzgfRRmHiO+YKelg+k26Ev2mWRtvrGw7Ww\n3MTH3Z/HZAXS4qPh18ovsigEnuHvFRcVAGO5fwq9CaeAVFamKMctrzj9kt2R/tpIRWmzUI/+\nQG2lRk2igaQn1T/5QAL9L/nRVhZJeUAqP4eoPMHu9FLmAOmn1OaE8TiLHHOBdAVhfIpFWnaQ\nqt7o15Qw/tzCWJGv2KGJNjDDqoMP0oba8IGy4L5iCyMekKrehwVW6zKrdffmIH3Ut2JxZ2Xa\nuWrQ321L1xVE+y0/tPtH2TZoOg0kPan+yQVSSzzDaY07XG2Rlh2kA29mwaJoGJC30RLzDX+P\ngcb5559HT8sF0nqiujekjgcoPCD9J3UEYTzAwrcmPSM9BDvCIcqLsag4QDoAZjoiP7LoCSs0\nkKoub9prhTIqMz8//0Pl6aKi6uHvl9oWFqhb2RtACjZv3vy2aFLtkwekk/Ecy63lTla9DmaQ\n/mxKTIYpzJoUoLyMVcUB0vnQWN43ShBIlUSW036x8GUHqTjwFskRfVhUVU0BqeIJoiP8l7UR\nB0gXAd/gwEbWj4vJ8EIWX2OPfI/V61dOTapwgNSXKOOzn1535nEWxuwgkXf36atyKdMwNLGD\ntI3gqKPVHYUDpAUI3rdRUd1Jls41BaS7iYHICTZG7CC9DXyl5plzrZ0ZQVpztyZjl5kawQ7S\nUSDL/sw22y1zzApSMVEp5UaDm9Rdbp5WEzNIcD5DhP2U8GlWPTBmkA7AoXqb7hcHSFOJHEvS\n0ZY3q5oCUilxf8i2G2RkBOmfCVcB36Dv8g02zolukUr/hS8TQtLEHunWvVxmkMB6jIhSRt70\nlOUNnhkkoqXz39PsKMsLyAwSMY6LGtCH1DWxglRJ3Lcb39jPsAIJqoaAdCz8Xl3QnzZGbCB9\nld4W3oXPMCxeMyjRIF0Pa+U0pdj3vbUxG0jf9YRlLKH2l9rkmBGk/+VC5/Ruypyg5fsbVpAG\nEBzVQb9Z55gVpLsI443KKrTWNGVMNQKkOeTQ6WK0wsaICaSqRsOI3szzZ15nl8UEg/QKzHBY\n3Vr5G2tjJpDeJdp8FESDh9vkmA2kZdBZkqQvlO/8FmMYzCDdB40z0X8l6nQmXYwgXU+URbai\nrLW5d9cEkJaEiO912R31rHrYqphAWoUIjhr8nmG74XliQZpJ1PdIdh/LsHl3wQRSXeiLfKgo\n126yHxNIVcR0FHUj9YoLjrY0ZgNpDJnj4+/Ns36QYQTpZJhfnzoH9habMaiaANJw4krU65pi\ne5ogE0grCePwkPC5tjM8EgsSXCeU2rzuub0CdgfCsYD0BFHZUUqrjEF2dysmkOCkEZTTo1bL\nC9pkWw5Ss4FEjATKvk7dQx+YpMPFBNJr0Lfb6fUan98lPNvauQaABN+1S7L/vHttxr4VJpD2\nwjmUUtEVN143wz6LCQXpBZDlcftKnx91t81jARNIf8PRr/TrP7ntmum29xQWkMByO4R6Kcq2\nBy+fYLJ4FRcLSDdC48v2P33lPSvtcswCEnwdgiIPoPueuHK8YW05oeQH6VziXhl4yeTvDGIA\naTjs19GWxZFKJEhXgpKwmtmBiwEk+E5atr9RaWIA6VpgHPKRG3maiwEkYjbK6Ww5ZgDpEmhs\n2HeLoqQHaSv8XrmjrQdPYrIHaTfk823WLCYQJFgrmacZ24M0ERinf0XGU2QPUgm8eoUz2YwZ\nQAK+PrtB3JjsQSqFOT71AKNzsoO0H36vS1iN7EFqi/umsk9+TxxI80FRDGY2tgXpN3ivYja2\nBWkfMPZZTWYAsgcJjLn4hrEa24MEuyk2L4/wDCU3SOvgQj72vXbtQNoDnrzqcmQxYSD9BYpC\nuoPZ2Aak8s/hzcpmZgcmO5DWAN9GjW1eHMdlB9JW8C4t5DfunESRHUg7wMtuFD0LnUVmIH22\nT1FeGjLMdmQM10EBaRV8Dxsuoi1NNsoapMrbwB2tDk8WEwXSTlAW2QHjpm00WYP0AViwrm5N\nzCxrkFYQb3i7LWU2tgZp51BonDud2dgapOKLobHv3+wdFTOQ0Arlgbw7x9axG1YFf8OR1kIA\npNKOoD2q9Rg7RzYgPQi2yQlaT3QklCCQ9sBrnEHb3sNEliAtI3YM6sjcbNiAdKAN8P1qM7uv\nDUjngGoRfMVulB6TNUhXgLHL1n9QNtYxVWw90j4sLAJSo0j7/nUHDp+DAdKP4ErUZ33s02QN\nElh1E2buGGhKDEjwMSb9XR5jS5Dg/sGzudalWYIEO4xWq+2MsgQJNs1Z1hN2CVmCVA4AtX5l\nbFDsz2RshWwEpFAErG1hHh++/5YmHKS94Hu14zOyBAm8I8zkuVUqCQIJP48PyZO57imWIAFj\ndDdfjq1AgtW9yz6FR1YgVYBmozbf1bMEKRs3NhwGZaPYng2Lsd4gempZv/cVZSpP3T0IIIEH\nyuacRlYggSN0mtm9aSOVCJCK8RyHec9ntwIJVHfaNnM0WYEE7oJPchpbgYSfcoCsFgabyQqk\nE3Fj6iaBNJk9I13UMw91VaYFbaedYRIPEtjOfh6vkQVI23HjOdxZTARIgHxuYwuQQHWn7RFI\nlQVIYDDHZgKcURYgDcSNyZOgbGUB0ke4MfNAfbUow987lyvzubZDEQ4S2Hlit9XfmIoOEnjj\nxn80YSJAwqs7P0cWIOHVXZrFbUwHCT9WHHGMEUVFBwk/DhmxD1zGRAcJDNU7qBbJ+h4Jf4yR\nHGwVRgWpEi8wJ1u+HHqQcI7IM4BZRAUJ5yjE3WxYgJSKXz3enqhiAdJU3JjvuUsTFSTwSGcz\nE9BUSQrSqfj34nu01kUDCTxcW2yQQ9chBwnniDxcmEk0kHBjjtPk46KBhPfKKcdCWIsG0kP4\n1XNiTAMJTGWi7y9poeQECd+ZT+LvGShUkHbhBTbfURYPNUh4dZ/qyJgCEt4eZToypoCEH45D\nO2/CWhSQvsevns2icnNRQPoHr2/U/Y4tlZQgTce/l7MtYCkg4VditbMsHmKQcI5WOTM2Bwnn\nKOjgoUChgdQEMzYeh8wkc5A24tXCmbE5SBXujZMSpNmu72gUkKrwWuk0i4cWJLy6W2z/ailT\nkMBBy2dwTA7AZApSM8zY78iWAtIyAdXCHCQBHCUjSOtEfC9TkHCOHnLqfEhBwjniHp2OyQwk\n/K3mURzTjYDMQOqEXz1HTxuKOUibBXBkChJ+e3Vc35IQpANYgTnsGSjmIOEc/cvZPVg5tCDh\n76RtF8JSZQIS3h6xTyMnZQISvuWej2/uFSYTkPD1NI45MgVJCEfJBxL+msdpz0AxBQnniGc6\nIqFDCBLeHjl7BNZkBAnn6GvnxkaQ8C1gU5wfcGIECb+9OufIDCRJiHHygYQVWMCFkREkMTee\nQwkS3h45eGdSLQNIOEfWu5BYywASvoFdugtjI0iYsfNuihlIgjhKOpCw7xV0Y2QESRBHhw4k\nfLNP+tGEDCJBwg+g5Jo7TcoAEmbs6MVUTAaQsGrhoptiBpIgjpIOJDE3HkuQ3BXYoQMJ69i5\nMyZBwgjln3uFywKkNq6MDSCJqhYWILkzNgdp66Rrhl79ONeMQOEguenXKVYgueQoASC5a0GN\nIMV7du44sgCpmztjOkguqwUdJJccmYI0J/WY0XeN7p1usxMukGiQXDXgigVIbjlKAEhujakt\nkqMpUpioILV3aUwFyVV3X7EAyXW1MAOp02Ttn/e6cPgIBsltgVFBcl1ghxwkt+0RHSSXxwbT\nQeJbDmsiGkiuqwUNJLf3bUWRsppqavlHPCxTP9mkpBaHjyCQopODgv3d6gRzkHyujfuHJwPj\nUlTk3lNTHgGSPmgnuTduQoCkz82W+rk2bmsOUgfXxkUESJNFVYs+5iD5XRv39494TtNUbGro\niaPUlxbFYwYy139hIK2/43ZBuhu+eNk/TpTxGGJJ7UOijG//CRpPFWb8CTT+RJgxMYn2J2HG\nxLyTv8eIMh4HT8HYc7co4ztMZnH8UxRq36tjuAvPmKsgkDx5Opy05M1npv/M9RceSJ48CZAH\nkidPAuSB5MmTAHkgefIkQB5InjwJkAeSJ08C5IHkyZMAeSB58iRAHkiePAmQB5InTwLkgeTJ\nkwB5IHnyJEAeSJ48CZAgkH5s0dS9GtaLqDlc7bCxrQDjxqpxE3ikUmVPAcZNVOMGU2BZnC/A\nWNdYaDxWhKea43rnQeMpIozrq8ZFcNvBOc0FGGvVoiXcZvPv1gKMG6nGBT9yV3ZTiVohm/mc\nW917nK/Zbbe0MCzse8yt8bPnhvKG3dk9QK6Qvc11lsdlp/ceM9BPbsc13LWxrgHkdlwD3Do+\nflbjwBn3XBJqAI1v6eA6r7cdJXW5++pa5ArZ2q6Nnz5ZbjLypkLDwr6nXTvfEMo98dYu/jf4\na7uZDsZhzI70bqBxnYImm7daHsbsRKVHZ4QH+SZUZApfav62H51bULClseWp5i5keRizE62r\n1yK9aehTZWR96/+IXxN9tVvX7l7youWp5k60t31a/QG+51ZZnmruSM/K4QvzO+xMPcxAKs8c\n0uX8Az0vtT7V3IkeqXNC6/Xv+1fniQapLLN75pID3S9vX2NAOq/n49LLd9avulc0SGv9Y3Kv\nXNv4wTnCQbqrUetB2yen/CkcpC3B1p127mp5d+ZhBtL1KCsF/ee/rTeKBqmqsZQmhd/Nfy1D\nNEh3oTQk3/ZM24Y1BqRavlxZuhj9OUI0SFP9qUFfzvDBz4oGqaSWL8WXPTf8kmiQDrRDaVLO\n/Ht6H2Yt0gIJnXcaks5pWiQapGel1EvSpWBG97BgkFb40OAGPmlwXqimgPSbFOjWW0bovjD5\njOQWpH6Sv5fs9xXVFQ3SbVLWeT6U6WsmGqTLZOmSkJR7bu3Q4QTS/P4pUs6lZVMQCgwVC9KW\nywJScO5fXRHq00goSFWP10GhIZsuQCj/6JoB0o8nZkqp66sek1D9ofRTzR1o/cjGPjS06r36\nKHCBUJD23tFGDub98X1jJJ0lFKQdN7SQc2rduaIhktrkHT4g/XaHukN0IK1+T6nWPrHPSIvS\nIs4hqVtTNETsvnabWkWMW6G8nlJ4P/1Uc5cSCVLlc3KkLZKCR9cNSnvpp5rza9dreepR6HJh\nkR/1pZ9qzq2tM+b0iVw9KRDq3hBdTz/VnE9lC97apJR2yY7UuMyMJm3QsRX5hwtI6xtHLkPd\nk+Ww74WbpGvpp5o70B71MMdguE7owivRm0JBOtBS22Guc/vb/f3op5q7lUCQPk+NZLcPypD+\n9XBqoFQgSFdH8JQf6SSh4ROHZp8pDqSR6s01c1hWLbnXQ2ehHwWBtCAv4tprhK/WzFB9eeAL\nx6BdymEDUjOfujOpX/ajQSF5pUiQfg+pNzRJSpNbSGl7BYJUMjpylVMDMpLCafJ7NQGk7fqp\nEDkSGpSRdxL1VHN+aVupSmiKJDXsGUp/XhhIj0n9+kfy3CwkBUP9pNwyMSDtyQ4+t+oSNccp\nfYPBQG+pvXLYgLRX2zBTRvUklB54gXoYswPt0Q79kcJIRsGMz0VuWXy+Wi2lniky8snXU081\ndy9hIG0ORip7sADVq4Oywq3XCQQpX8UoBRW+iuTavuFVwkBqm1dfqxjjUyQpNec72qnmnPpM\nfkRRMtWLF6jdUUKhxqsPH5D0TW1DSMpJfUGdHCQOpJv0XW1TUGvp8S2KQJB+1XcOlsOF6Fj1\nnOXkBylPy3EuCjXxPTKjlHaquQP9EduZfZjvnEnzaaeaO1DtTN24eV+p8bSdtMOYefWS9Lky\nXL966Hp/nXfVXYoTAdJn+yJ5GTLsM5MopyCNi50qgKS3tABhIH2qbRmuOd+pBYgCaaduqmVa\n21456UGapNV1rTzu0wJEgVRVL+YcbrBLDRAFUrnWm1CPsfFLX6sBYkD6GV02IGac5n9PC0sE\nSGiF8kDenWPrvG6McgjSOLU+yuopC1IUT1EgPR+9VUau8Zt6iCCQytQnr5DGknSSFpLkIJWf\nVQ1+/lT9IAtBIM3PUNlUPwIXrtVCBIG0q0XEM0uKZFoKXa6FCBps0I9uD8mRe2HPD/SgBIHU\naK6ifN3BGOUMpBuq2yM0OhokCKRj487F0SAxIC2RY4Ci0CX6VOfkBqm8dXVJZMfCxID0Sfxc\ny+XRIDEgfRVAMfYDfXVDISBVXaPnWIr8MzgWmCCQQpHe3bawMcoJSMsz4rW9bUU0UAhIa2Nn\nfUVKbFAsUAhIveJZPj4WlswgbTgvXtvl6iojAqQ/OsaLIisWKAKkaXXjxmhydFmGCJB+Koj7\nStVnTCUEpKeW9XtfUaa2M0Y5AGl1ACuwpbFQESBVYseKN6z+cxEgPRc3Tt0SC0xikMq6YoXc\ntiwWLACkXdnY1Xs7FioApCnYEbyoekGWAJAex42nVAcnAqSLeuahrsq04DtY2No/NT1em/P/\n3fNFE+yOdlL1DUIESIPizkUV1aHuQCqb+/by6Hidpsw/q6OSGKS52KniteMHZgoA6UKsVo6r\nDnUPUnEahv7I6mD3IM2Ww3HjK+PhCRr+3rlcmf8r9vsv1W0ln8/setj9IThqZ3WEe5D2tIw7\nX4qFuwJpedtAbemEuHFOHNAkBmlFajzHJ2IndbkGqXxs3Ng3PR7uGqTFdTBAsePQ3IPUBTO+\nAwtPlvdI0RZpON8Zr9vycuNfqwFWKQWAhPXdz8bD3YBU1XHwTuXtuHEqnuWkBek3rD06DY9w\nC1IpVsZ+/GRotyCV5WHV/XEswjVIF2HGnfGIZAEpqmv5QHoYa4/84GxhtyB9lBl3HgBi3ID0\nJ1qjPIXdhEFkkoJUfiJWdzJAlEuQ9nfGnJfhMW5BegAzvh2PcAvS+9g9JbsMj0kESKNjMkZx\ngbQPv8TSBhDnDqTdPTDnFBjnBqQF0l6sw4jWgsjkBGlrbSzDaDGIcwfSqhaYcWMQ5Q6ksiLM\nGA4NuwTpK4wjaReISgRIk3PbjtJkjOIC6Rz8Eq+Bce5Awh+BfRUwzg1IxaEg5vw+jExKkDal\n44U8Bka6AanyaqxSohA8aNUVSOW18KsHb1buQDoDv3HD7YgS07Uba4KQLg6QKm/Ev9bHRKwb\nkKr+hTlnEBy5AukAfkf7HxGZlCANwDn6DxHpAqSteKuBMojboBuQ5oYw4wBxoLhjkL7uFs7y\n41l+i0iQEJAWU6sIB0h4B1vaQ8a6AGlHU8w5aIh2AVIJfhNeScYmI0jf4IU8hYx1DtLreG1H\n9TYQ0c5BqroKNw78QkQ7BelahL89QsSTl6oaO9gwEP9axhbOOUhVbXBnYzk7B2knztEPhugk\nBOkOvCj+NkQ7BulHUC1rV5LxzkGaAKq7wdghSC/5QGuE0CJDkpoKUj38a7U6YIh3DhJ4uN5s\njHcM0gLc+A5jfNKBNDsLz/FyYwKnIH0LOJLKDAkcg3QrqO4/G+KdgbQsFUEVGdPUUJBADztn\nrzGBY5DwCUdooUkCpyAtseEo2UCqAmM56B2TJA5BugkYy98bUzgEaWMecP7WmMIRSJtzCI6a\nbjQmqokgVW08BlyJeSZpHIK0ANwrTf/EEUhbq97CjY39OiXZQCobDOpOH7M0zkC6FxgHDI+3\nilOQPgsDZ7Pr4gikR4jno1rk+JOqmgdS+bgM8LXku8xSOQPpQ+BMDszo4gep6uEcBB6uXzBN\nllQgVR2LP9ChwAKzRE5A+rkrrJXTzRI5AmmKDxifaZbGEUgnwRz7TLNc80Aam5eGf60083rs\nCKRSUHlmmSfiB+nJ9KfxmSUmXXdNyQTS75l4hlGR8eFalQOQ3kgFZYxeMU3lBKRtKcD4GuOT\nl+IIpLIXIEcdzFZ210CQqnLwdSbGF0hROQIJf5OHvqIk4gWp8j4ZWb6BiCmJQHoDdmZMnq01\n8YM0khj9KjZP5gCk5XBA4C/zVPwgzasPyR9ISVfjQNoMvpavi+mNxxFI+/FZB2gOLRkPSCXv\nPPL+/bXk0bgxtRYbQVp0XoTDGwo7Rm4Wd7RuMjEStih+ItGMdk3bvxcLikarWtFJ++fpNh2+\nin4eR7wMswVpNxhxQRL5NiYmLpB2LNmhfAifYlBbSloHIEHn02mZ4ASp9AyYYRSipaxZIM05\ntS14QJIuNhmf1sQD0sJTmxT9t7Ic3IUvpabmAGl1i+xuGYGJoKG7nJraANJphRFGXu1XvKHB\ngXltSrc2XqTcW1gN0qbsFcrKwk16UDRakw7S382LVxVU6p+8LdIfxGjvlbSEHCCVXCkj+YrO\n0FieS0nNB9Ku27oeBZ+PAvsoSXlBupNoQeHcWlw1CqSZvhPgQMM0alIOkH4OnffKPVl3geGA\nbFpiLpD6nbhH2YAKcOMedGMDSNePjzBy3SRF6T/vnScU5fwZysfjq0Fa2rxCUWZt1IOi0Zp0\nkJ69WFFa/6x/coK0FvZlUKcqWkoOkG5uOGv3rFrQGH1JS80FUkmn1uNgVzTVdPxJFSdIi4ii\nkHpSk9YokFqdAm88xxjeXFeLA6Qz1Mo5ExSZ72F6JthBOhCYF3mmA+j3pfuadO1mR3L21ODS\ntenqGuwljXcpyux4125IwZjZ6vePBmnRqnSQ7pmgKKd/rH/ygVRJvDWRqNWdB6S81xXlNWic\n0YuamgukyfnvEOO4waW0tHwglYRgjqXMZ6lpkwSkZdW9cnqakgeICU9D6RzxgNRcJaMdcB5j\n4cwO0m5pkfIzmCjRgm5LA6lkWEHPXp8qlRObq103DCRlycReRZujQdFoVTpI4x6MoPaB/skF\n0gEwlhPRPfS07CAVSz+WDiSM266hpeYD6dqWRLsRoHdUOEDa+9YTuUSOpZuojXOygFQ5Z5am\n0+ktUnmv+vBrmWyLFxcHSH3ujlRa4GyYkYiLo2vXYXhDeCGsfCkglZUpynHLK06/ZLcaFgfp\nA7WVGjVJD4pFq4p27UYqSpuF+icPSD/AQWQknWiRY44WqemEE6AxyqNXSj6QehDGfpPJTDGx\ng7SwQQ45MSiNnK+PK0lAismiazelNrxBZFBTquIA6YX0t8GbKam+5QAfB0jfE7fKMdSUqsxB\n+qhvxeLOyrRz9bA4SD+0+0fZNmi6HhSLVhUdbGhbuq6gQv+8BS7xtQJpB8FRXsDqsG4OkF6F\nnfJI7/lXalo+kD4gCjl3Jz0tO0hVhZ2KiBx3KrcwrjkgFfcnJmp8bmnEM2o3DlwK+XzjNGdc\nHCDdAXN8saUvBaSqy5v2WqGMyszPz/8QdO1ealtY8G9FD4pFq1oRbN68+W3K00VF6vC3+nlL\nR+v/KK798GEDZR1vNv2qWhwgnUbUyhamUyVi4gCpAhIq51pWd2aQZqFWRI6pa+h01RSQfm1M\ncPSotREHSPvBWxO/XRbZQdoAs7zKxjjxL2RXEmXc1MaYHSTydUx6iaUxO0h7iCxL71oaM4N0\nLJFhJNGG6qOqKSB1hHMo6eP5UbGDVALew9pvB8YOUjdgbD7LBhMjSGvu1mSc8U6NYAYJTp4m\nd2gwihmk28lq+YW1MTNIB4j3PDK5iJcQK0hV6WSOh1ob1xSQNhBfizq+GRMjSLtfeQi+xbfs\nymhiBulSYPyArXHCW6RiopA72Rkzg0Q8IEnn2Bgzg3QxND7V6sFLFStIleQLpHNNk2GqASCt\nGtSy7w3we5lsdkyIDaRFeUFYYvQXbtViAqny5vZwzKclZVYZpoSDRNzdAxajX7pYQPrr5JZ9\nCqGx3NBuuhYZgevPAAAgAElEQVQLSMXD2/S4BRrXtcswE0g7z23V8ypoTJ14GVfyg/SFHGxK\nvBgzWwtGiA2kfAQ5OtdiSDYmFpAqG8B1E+iG3cZEpBIM0nbiaSP/D1tjBpDmyMFC4u4uj9p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LBKWOL0g99brKbBz+Xr4q84gkkKq7GI1S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\n",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pairs(rlogcounts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compare the plots of the pre-normalized and normalized data to see the effect of normalization.\n",
    "\n",
    "Notice how the samples in the box plot, and in-group samples in the pair plots display similar distributions.\n",
    "\n",
    "Looking at normalized plots can be an easy way to look out for any obvious inconsistencies or errors in the sample data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP 7: PCA Plot\n",
    "\n",
    "We can now begin to produce plots to further analyze the differences between groups.\n",
    "\n",
    "PCA plots can be an effective way to visualize variation within and between sample sets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PHjx8+bN2/MmDG5m0ycOPHLX/5y7utk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\nAABkgmAHAAAgEwQ7AAAAmfg/rD31ZYp/eFAAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca_counts <- prcomp(t(rlogcounts))\n",
    "autoplot(pca_counts, data = samples, colour=\"Treatment\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plots can be output as above, or also saved as pdf or image files, as below. Try to navigate and click to the created file, after you run the code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<strong>png:</strong> 2"
      ],
      "text/latex": [
       "\\textbf{png:} 2"
      ],
      "text/markdown": [
       "**png:** 2"
      ],
      "text/plain": [
       "png \n",
       "  2 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pdf(\"data/gene_counts/PCA_Plot.pdf\")\n",
    "autoplot(pca_counts, data = samples, colour=\"Treatment\")\n",
    "dev.off()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP 8: Contrast Comparisons\n",
    "\n",
    "Contrast comparisons between two treatment groups can be performed using the deseq2 tool to identify differentially up and down regulated genes.\n",
    "\n",
    "Using R, these results can be summarized, reordered, and/or trimmed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "out of 26596 with nonzero total read count\n",
      "adjusted p-value < 0.1\n",
      "LFC > 0 (up)       : 561, 2.1%\n",
      "LFC < 0 (down)     : 843, 3.2%\n",
      "outliers [1]       : 3, 0.011%\n",
      "low counts [2]     : 5669, 21%\n",
      "(mean count < 17)\n",
      "[1] see 'cooksCutoff' argument of ?results\n",
      "[2] see 'independentFiltering' argument of ?results\n",
      "\n",
      "[1] \"Number of genes under a p value of 0.05\"\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "3128"
      ],
      "text/latex": [
       "3128"
      ],
      "text/markdown": [
       "3128"
      ],
      "text/plain": [
       "[1] 3128"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Number of genes under a p adjusted value of 0.05\"\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "1049"
      ],
      "text/latex": [
       "1049"
      ],
      "text/markdown": [
       "1049"
      ],
      "text/plain": [
       "[1] 1049"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Output the results of comparing WT and WHIM group\n",
    "res_IAV_CTRL <- results(deseq2Data, contrast=c(\"Treatment\",\"IAV\",\"HBSS\"))\n",
    "summary(res_IAV_CTRL)\n",
    "print(\"Number of genes under a p value of 0.05\")\n",
    "sum(res_IAV_CTRL$pvalue < 0.05, na.rm=TRUE)\n",
    "print(\"Number of genes under a p adjusted value of 0.05\")\n",
    "sum(res_IAV_CTRL$padj < 0.05, na.rm=TRUE)\n",
    "\n",
    "\n",
    "#deseq2 optionally output some padj values as 'NA' when genecounts meet certain criteria\n",
    "#that criteria can be found here: https://bioconductor.org/packages/release/bioc/vignettes/DESeq2/inst/doc/DESeq2.html#pvaluesNA\n",
    "#for practical uses, one could replace the NA values with '1', essentially NA values not significant.\n",
    "res_IAV_CTRL$padj[is.na(res_IAV_CTRL$padj)] <- 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP 9: Annotating and Exporting Results\n",
    "\n",
    "These differentially expressed genes can be annotated and exported.\n",
    "\n",
    "Combining gene counts with gene annotation isn't always simple, and will vary heavily depending on the annotation file itself.\n",
    "\n",
    "For example, when merging genecounts by 'gene id' with feature tables from NCBI's assembly database, its very common to have duplicate rows, as a single 'gene id' may match to multiple features. \n",
    "\n",
    "Depending on how you want to use your annotated results, you may decide to further reformat your table in whatever suits your further analysis best, for instance by downloading and using a spreadsheet editor.\n",
    "\n",
    "Because the transcript table for m chelonae we have here is so simple, and contains essentially only one 'CDS' or '..RNA' feature for every gene identifier we are using, it is easy for us to reformat it here in the way we want just using R code. However, it is important to note that, again, this is very often not the case, and reformatting will vary depending on both the annotation file itself, and what that annotation file will be used for."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [],
      "text/latex": [],
      "text/markdown": [],
      "text/plain": [
       "character(0)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 9</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Gene_stable_ID</th><th scope=col>baseMean</th><th scope=col>log2FoldChange</th><th scope=col>lfcSE</th><th scope=col>stat</th><th scope=col>pvalue</th><th scope=col>padj</th><th scope=col>Gene.name</th><th scope=col>Gene.description</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;I&lt;chr&gt;&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>ENSDARG00000000001</td><td> 64.34407</td><td> 0.14394782</td><td>0.18794485</td><td> 0.7659046</td><td>0.443733097</td><td>0.83514931</td><td>slc35a5  </td><td>solute carrier family 35 member A5 [Source:NCBI gene;Acc:368418]                           </td></tr>\n",
       "\t<tr><th scope=row>2</th><td>ENSDARG00000000002</td><td>142.69737</td><td>-0.40619706</td><td>0.13929899</td><td>-2.9160087</td><td>0.003545406</td><td>0.06430472</td><td>ccdc80   </td><td>coiled-coil domain containing 80 [Source:NCBI gene;Acc:368419]                             </td></tr>\n",
       "\t<tr><th scope=row>3</th><td>ENSDARG00000000018</td><td>222.27194</td><td> 0.12725620</td><td>0.10989786</td><td> 1.1579498</td><td>0.246884522</td><td>0.69256940</td><td>nrf1     </td><td>nuclear respiratory factor 1 [Source:NCBI gene;Acc:64604]                                  </td></tr>\n",
       "\t<tr><th scope=row>4</th><td>ENSDARG00000000019</td><td>981.32676</td><td>-0.03598638</td><td>0.06838916</td><td>-0.5262000</td><td>0.598749257</td><td>0.90518074</td><td>ube2h    </td><td>ubiquitin-conjugating enzyme E2H (UBC8 homolog, yeast) [Source:ZFIN;Acc:ZDB-GENE-030616-67]</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>ENSDARG00000000068</td><td>354.56794</td><td> 0.16120937</td><td>0.09814236</td><td> 1.6426073</td><td>0.100464205</td><td>0.48697366</td><td>slc9a3r1a</td><td>SLC9A3 regulator 1a [Source:ZFIN;Acc:ZDB-GENE-031006-7]                                    </td></tr>\n",
       "\t<tr><th scope=row>6</th><td>ENSDARG00000000069</td><td>442.55695</td><td> 0.08676612</td><td>0.09108990</td><td> 0.9525328</td><td>0.340826844</td><td>0.77289849</td><td>dap      </td><td>death-associated protein [Source:ZFIN;Acc:ZDB-GENE-000511-3]                               </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 9\n",
       "\\begin{tabular}{r|lllllllll}\n",
       "  & Gene\\_stable\\_ID & baseMean & log2FoldChange & lfcSE & stat & pvalue & padj & Gene.name & Gene.description\\\\\n",
       "  & <I<chr>> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t1 & ENSDARG00000000001 &  64.34407 &  0.14394782 & 0.18794485 &  0.7659046 & 0.443733097 & 0.83514931 & slc35a5   & solute carrier family 35 member A5 {[}Source:NCBI gene;Acc:368418{]}                           \\\\\n",
       "\t2 & ENSDARG00000000002 & 142.69737 & -0.40619706 & 0.13929899 & -2.9160087 & 0.003545406 & 0.06430472 & ccdc80    & coiled-coil domain containing 80 {[}Source:NCBI gene;Acc:368419{]}                             \\\\\n",
       "\t3 & ENSDARG00000000018 & 222.27194 &  0.12725620 & 0.10989786 &  1.1579498 & 0.246884522 & 0.69256940 & nrf1      & nuclear respiratory factor 1 {[}Source:NCBI gene;Acc:64604{]}                                  \\\\\n",
       "\t4 & ENSDARG00000000019 & 981.32676 & -0.03598638 & 0.06838916 & -0.5262000 & 0.598749257 & 0.90518074 & ube2h     & ubiquitin-conjugating enzyme E2H (UBC8 homolog, yeast) {[}Source:ZFIN;Acc:ZDB-GENE-030616-67{]}\\\\\n",
       "\t5 & ENSDARG00000000068 & 354.56794 &  0.16120937 & 0.09814236 &  1.6426073 & 0.100464205 & 0.48697366 & slc9a3r1a & SLC9A3 regulator 1a {[}Source:ZFIN;Acc:ZDB-GENE-031006-7{]}                                    \\\\\n",
       "\t6 & ENSDARG00000000069 & 442.55695 &  0.08676612 & 0.09108990 &  0.9525328 & 0.340826844 & 0.77289849 & dap       & death-associated protein {[}Source:ZFIN;Acc:ZDB-GENE-000511-3{]}                               \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 9\n",
       "\n",
       "| <!--/--> | Gene_stable_ID &lt;I&lt;chr&gt;&gt; | baseMean &lt;dbl&gt; | log2FoldChange &lt;dbl&gt; | lfcSE &lt;dbl&gt; | stat &lt;dbl&gt; | pvalue &lt;dbl&gt; | padj &lt;dbl&gt; | Gene.name &lt;chr&gt; | Gene.description &lt;chr&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | ENSDARG00000000001 |  64.34407 |  0.14394782 | 0.18794485 |  0.7659046 | 0.443733097 | 0.83514931 | slc35a5   | solute carrier family 35 member A5 [Source:NCBI gene;Acc:368418]                            |\n",
       "| 2 | ENSDARG00000000002 | 142.69737 | -0.40619706 | 0.13929899 | -2.9160087 | 0.003545406 | 0.06430472 | ccdc80    | coiled-coil domain containing 80 [Source:NCBI gene;Acc:368419]                              |\n",
       "| 3 | ENSDARG00000000018 | 222.27194 |  0.12725620 | 0.10989786 |  1.1579498 | 0.246884522 | 0.69256940 | nrf1      | nuclear respiratory factor 1 [Source:NCBI gene;Acc:64604]                                   |\n",
       "| 4 | ENSDARG00000000019 | 981.32676 | -0.03598638 | 0.06838916 | -0.5262000 | 0.598749257 | 0.90518074 | ube2h     | ubiquitin-conjugating enzyme E2H (UBC8 homolog, yeast) [Source:ZFIN;Acc:ZDB-GENE-030616-67] |\n",
       "| 5 | ENSDARG00000000068 | 354.56794 |  0.16120937 | 0.09814236 |  1.6426073 | 0.100464205 | 0.48697366 | slc9a3r1a | SLC9A3 regulator 1a [Source:ZFIN;Acc:ZDB-GENE-031006-7]                                     |\n",
       "| 6 | ENSDARG00000000069 | 442.55695 |  0.08676612 | 0.09108990 |  0.9525328 | 0.340826844 | 0.77289849 | dap       | death-associated protein [Source:ZFIN;Acc:ZDB-GENE-000511-3]                                |\n",
       "\n"
      ],
      "text/plain": [
       "  Gene_stable_ID     baseMean  log2FoldChange lfcSE      stat       pvalue     \n",
       "1 ENSDARG00000000001  64.34407  0.14394782    0.18794485  0.7659046 0.443733097\n",
       "2 ENSDARG00000000002 142.69737 -0.40619706    0.13929899 -2.9160087 0.003545406\n",
       "3 ENSDARG00000000018 222.27194  0.12725620    0.10989786  1.1579498 0.246884522\n",
       "4 ENSDARG00000000019 981.32676 -0.03598638    0.06838916 -0.5262000 0.598749257\n",
       "5 ENSDARG00000000068 354.56794  0.16120937    0.09814236  1.6426073 0.100464205\n",
       "6 ENSDARG00000000069 442.55695  0.08676612    0.09108990  0.9525328 0.340826844\n",
       "  padj       Gene.name\n",
       "1 0.83514931 slc35a5  \n",
       "2 0.06430472 ccdc80   \n",
       "3 0.69256940 nrf1     \n",
       "4 0.90518074 ube2h    \n",
       "5 0.48697366 slc9a3r1a\n",
       "6 0.77289849 dap      \n",
       "  Gene.description                                                                           \n",
       "1 solute carrier family 35 member A5 [Source:NCBI gene;Acc:368418]                           \n",
       "2 coiled-coil domain containing 80 [Source:NCBI gene;Acc:368419]                             \n",
       "3 nuclear respiratory factor 1 [Source:NCBI gene;Acc:64604]                                  \n",
       "4 ubiquitin-conjugating enzyme E2H (UBC8 homolog, yeast) [Source:ZFIN;Acc:ZDB-GENE-030616-67]\n",
       "5 SLC9A3 regulator 1a [Source:ZFIN;Acc:ZDB-GENE-031006-7]                                    \n",
       "6 death-associated protein [Source:ZFIN;Acc:ZDB-GENE-000511-3]                               "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system(\"gsutil cp gs://hon_350/reference/biomart_GRCz11_annotation.txt data/reference/\", intern=TRUE)\n",
    "\n",
    "#read-in the annotation file (see extended tutorial for more info on how to get annotation files) and store it into a variable.\n",
    "annotation <- read.table(\"data/reference/biomart_GRCz11_annotation.txt\", header=TRUE,sep='\\t', quote=\"\\\"\",comment.char = \"\")\n",
    "\n",
    "#put the previous deseq results into an easier to manipulate data.frame format\n",
    "results <- data.frame(res_IAV_CTRL)\n",
    "\n",
    "#merge the annotation with the deseq2 contrast comparison table\n",
    "results.annot <- merge(results,annotation,by.x=0,by.y=1,all.x=TRUE)\n",
    "\n",
    "\n",
    "#labeling the columns properly after the merge\n",
    "colnames(results.annot)[1] <- 'Gene_stable_ID'\n",
    "\n",
    "#write out the file\n",
    "write.table(results.annot,\"data/gene_counts/24hrs_CTRL_IAV_DESeq2_annot.txt\",row.names=FALSE,sep=\"\\t\")\n",
    "\n",
    "head(results.annot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [],
      "text/latex": [],
      "text/markdown": [],
      "text/plain": [
       "character(0)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#upload annotated file to google cloud\n",
    "system(\"gsutil cp data/gene_counts/24hrs_CTRL_IAV_DESeq2_annot.txt gs://hon_350/24hours_results/\", intern=TRUE)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### STEP 10: More Plots and Clustering Data\n",
    "\n",
    "Finally, although several other different kind of analysis can be done, it is common to plot the results of differential gene expression analysis in forms such as volcano, MA, and heatmaps. These plots help one to further examine the output list of differentially expressed genes in different ways, and potentially identify or further investigate candidate gene(s)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
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aLTODs7OyMjw9raOiAgYMeOHcOHD3d3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IkS1bthQKhV5eXp06dZo+ffrLly9Ne/D0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\nq9ULSW3TAAAS0ElEQVSa/PP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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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10COz7yk5NfGwghZMr/cV0BS77fynUF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\n/w5pcSeRLz0AAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#volcano and ma plots can be used to visualize significant differences in gene expression\n",
    "results_volc_df <- results.annot\n",
    "EnhancedVolcano(results_volc_df,\n",
    "    lab = results_volc_df[,1],\n",
    "    x = 'log2FoldChange',\n",
    "    y = 'padj')\n",
    "\n",
    "#ma plot\n",
    "plotMA(res_IAV_CTRL)\n",
    "\n",
    "\n",
    "#heatmaps can used to look at clustering and expression of various gene lists.\n",
    "filtered_res <- results.annot %>% filter(padj < 0.05)\n",
    "filtered_res_counts <- subset(rlogcounts, rownames(rlogcounts) %in% filtered_res[,1])\n",
    "filtered_res_counts = t(scale(t(filtered_res_counts)))\n",
    "#showing 40 of the genes under padj 0.05 (in no order)\n",
    "Heatmap(filtered_res_counts[1:40,], name = \"Z-Score\", row_names_gp = gpar(fontsize = 8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "ens <- rownames(rnaseqMatrix)\n",
    "\n",
    "symbols <- mapIds(org.Dr.eg.db, keys = ens,\n",
    "                  column = c('SYMBOL'), keytype = 'ENSEMBL')\n",
    "symbols <- symbols[!is.na(symbols)]\n",
    "symbols <- symbols[match(rownames(rnaseqMatrix), names(symbols))]\n",
    "rownames(rnaseqMatrix) <- symbols\n",
    "keep <- !is.na(rownames(rnaseqMatrix))\n",
    "rnaseqMatrix <- rnaseqMatrix[keep,]\n",
    "\n",
    "# Create the DEseq2DataSet object\n",
    "deseq2Data <- DESeqDataSetFromMatrix(countData=rnaseqMatrix, colData=samples, design= ~ Treatment)\n",
    "\n",
    "\n",
    "# Perform pre-filtering of the data\n",
    "deseq2Data <- deseq2Data[rowSums(counts(deseq2Data)) > 10, ]\n",
    "\n",
    "# Inspect pre-normalized data \n",
    "png(\"pairwise_scatterplots.png\")\n",
    "pairs(log2((counts(deseq2Data)+1)))\n",
    "dev.off()\n",
    "\n",
    "png(\"boxplot.png\")\n",
    "boxplot(log2((counts(deseq2Data)+1)))\n",
    "dev.off()\n",
    "\n",
    "# Run pipeline for differential expression steps\n",
    "deseq2Data <- DESeq(deseq2Data)\n",
    "\n",
    "#perform rlog normalization on deseq2 object\n",
    "rld <- rlog(deseq2Data, blind=FALSE)\n",
    "\n",
    "#a handy variable so we can easily reference the rlog genecount matrix in the future, as deseq objects contain many tables of data.\n",
    "rlogcounts <- assay(rld)\n",
    "rownames(rlogcounts) <- rownames(deseq2Data)\n",
    "\n",
    "head(rlogcounts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#compare IAV to CTRL\n",
    "res_IAV_CTRL <- results(deseq2Data, contrast = c(\"Treatment\", \"IAV\", \"CTRL\"))\n",
    "resOrdered_IAV_CTRL <- res_IAV_CTRL[order(res_IAV_CTRL$pvalue),]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "png(\"spotless_24hpi_Volcano_plot_symbols.png\")\n",
    "EnhancedVolcano(res_IAV_CTRL,\n",
    "                lab = rownames(res_IAV_CTRL),\n",
    "                x = 'log2FoldChange',\n",
    "                y = 'padj',\n",
    "                pCutoff = 0.05,\n",
    "                drawConnectors = TRUE,\n",
    "                widthConnectors = 0.5,\n",
    "                FCcutoff = 1.0,\n",
    "                pointSize = 2.0,\n",
    "                labSize = 3.0)\n",
    "dev.off()\n"
   ]
  }
 ],
 "metadata": {
  "environment": {
   "kernel": "ir",
   "name": ".m112",
   "type": "gcloud",
   "uri": "gcr.io/deeplearning-platform-release/:m112"
  },
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.2.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}