DEG_example.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# RNA-Seq Analysis Training Demo"
   ]
  },
  {
   "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": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Installing package into ‘/home/jupyter/.R/library’\n",
      "(as ‘lib’ is unspecified)\n",
      "\n",
      "Loading required package: ComplexHeatmap\n",
      "\n",
      "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",
      "Loading required package: DESeq2\n",
      "\n",
      "Loading required package: S4Vectors\n",
      "\n",
      "Loading required package: stats4\n",
      "\n",
      "Loading required package: BiocGenerics\n",
      "\n",
      "\n",
      "Attaching package: ‘BiocGenerics’\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    IQR, mad, sd, var, xtabs\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    anyDuplicated, aperm, append, as.data.frame, basename, cbind,\n",
      "    colnames, dirname, do.call, duplicated, eval, evalq, Filter, Find,\n",
      "    get, grep, grepl, intersect, is.unsorted, lapply, Map, mapply,\n",
      "    match, mget, order, paste, pmax, pmax.int, pmin, pmin.int,\n",
      "    Position, rank, rbind, Reduce, rownames, sapply, setdiff, sort,\n",
      "    table, tapply, union, unique, unsplit, which.max, which.min\n",
      "\n",
      "\n",
      "\n",
      "Attaching package: ‘S4Vectors’\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    expand.grid, I, unname\n",
      "\n",
      "\n",
      "Loading required package: IRanges\n",
      "\n",
      "Loading required package: GenomicRanges\n",
      "\n",
      "Loading required package: GenomeInfoDb\n",
      "\n",
      "Loading required package: SummarizedExperiment\n",
      "\n",
      "Loading required package: MatrixGenerics\n",
      "\n",
      "Loading required package: matrixStats\n",
      "\n",
      "\n",
      "Attaching package: ‘MatrixGenerics’\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:matrixStats’:\n",
      "\n",
      "    colAlls, colAnyNAs, colAnys, colAvgsPerRowSet, colCollapse,\n",
      "    colCounts, colCummaxs, colCummins, colCumprods, colCumsums,\n",
      "    colDiffs, colIQRDiffs, colIQRs, colLogSumExps, colMadDiffs,\n",
      "    colMads, colMaxs, colMeans2, colMedians, colMins, colOrderStats,\n",
      "    colProds, colQuantiles, colRanges, colRanks, colSdDiffs, colSds,\n",
      "    colSums2, colTabulates, colVarDiffs, colVars, colWeightedMads,\n",
      "    colWeightedMeans, colWeightedMedians, colWeightedSds,\n",
      "    colWeightedVars, rowAlls, rowAnyNAs, rowAnys, rowAvgsPerColSet,\n",
      "    rowCollapse, rowCounts, rowCummaxs, rowCummins, rowCumprods,\n",
      "    rowCumsums, rowDiffs, rowIQRDiffs, rowIQRs, rowLogSumExps,\n",
      "    rowMadDiffs, rowMads, rowMaxs, rowMeans2, rowMedians, rowMins,\n",
      "    rowOrderStats, rowProds, rowQuantiles, rowRanges, rowRanks,\n",
      "    rowSdDiffs, rowSds, rowSums2, rowTabulates, rowVarDiffs, rowVars,\n",
      "    rowWeightedMads, rowWeightedMeans, rowWeightedMedians,\n",
      "    rowWeightedSds, rowWeightedVars\n",
      "\n",
      "\n",
      "Loading required package: Biobase\n",
      "\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",
      "\n",
      "\n",
      "\n",
      "Attaching package: ‘Biobase’\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:MatrixGenerics’:\n",
      "\n",
      "    rowMedians\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:matrixStats’:\n",
      "\n",
      "    anyMissing, rowMedians\n",
      "\n",
      "\n",
      "Loading required package: EnhancedVolcano\n",
      "\n",
      "Loading required package: ggplot2\n",
      "\n",
      "Loading required package: ggrepel\n",
      "\n",
      "Loading required package: dplyr\n",
      "\n",
      "\n",
      "Attaching package: ‘dplyr’\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:Biobase’:\n",
      "\n",
      "    combine\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:matrixStats’:\n",
      "\n",
      "    count\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:GenomicRanges’:\n",
      "\n",
      "    intersect, setdiff, union\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:GenomeInfoDb’:\n",
      "\n",
      "    intersect\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:IRanges’:\n",
      "\n",
      "    collapse, desc, intersect, setdiff, slice, union\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:S4Vectors’:\n",
      "\n",
      "    first, intersect, rename, setdiff, setequal, union\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:BiocGenerics’:\n",
      "\n",
      "    combine, intersect, setdiff, union\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    filter, lag\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    intersect, setdiff, setequal, union\n",
      "\n",
      "\n",
      "Loading required package: pheatmap\n",
      "\n",
      "\n",
      "Attaching package: ‘pheatmap’\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:ComplexHeatmap’:\n",
      "\n",
      "    pheatmap\n",
      "\n",
      "\n",
      "Loading required package: ggfortify\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",
    "\n",
    "###load the libraries\n",
    "library(DESeq2)\n",
    "library(dplyr)\n",
    "library(ComplexHeatmap)\n",
    "library(EnhancedVolcano)\n",
    "library(ggplot2)\n",
    "library(ggrepel)\n",
    "library(ggfortify)"
   ]
  },
  {
   "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": 3,
   "metadata": {},
   "outputs": [
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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/example_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": 4,
   "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>SA6_184</th><th scope=col>SA6_185</th><th scope=col>SA6_186</th><th scope=col>SA6_187</th><th scope=col>SA6_188</th><th scope=col>SA6_189</th><th scope=col>SA6_190</th><th scope=col>SA6_191</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> 22.00</td><td> 15.00</td><td> 12.00</td><td> 21.00</td><td>  9.00</td><td> 16.00</td><td>  5.00</td><td> 13.00</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>ENSDARG00000000002</td><td> 58.00</td><td> 54.00</td><td> 48.00</td><td> 67.00</td><td> 43.00</td><td> 59.00</td><td> 62.00</td><td> 34.00</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>ENSDARG00000000018</td><td> 93.00</td><td> 94.00</td><td> 88.00</td><td>148.97</td><td> 65.00</td><td> 88.01</td><td> 65.00</td><td> 65.00</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>ENSDARG00000000019</td><td>295.18</td><td>301.00</td><td>319.82</td><td>396.58</td><td>202.16</td><td>357.03</td><td>205.68</td><td>153.83</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>ENSDARG00000000068</td><td> 79.01</td><td> 60.03</td><td> 69.91</td><td> 90.24</td><td> 44.00</td><td> 78.00</td><td> 35.00</td><td> 38.00</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>ENSDARG00000000069</td><td>238.96</td><td>192.96</td><td>203.74</td><td>263.00</td><td>102.05</td><td>181.00</td><td> 92.05</td><td> 99.00</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 9\n",
       "\\begin{tabular}{r|lllllllll}\n",
       "  & GeneID & SA6\\_184 & SA6\\_185 & SA6\\_186 & SA6\\_187 & SA6\\_188 & SA6\\_189 & SA6\\_190 & SA6\\_191\\\\\n",
       "  & <chr> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t1 & ENSDARG00000000001 &  22.00 &  15.00 &  12.00 &  21.00 &   9.00 &  16.00 &   5.00 &  13.00\\\\\n",
       "\t2 & ENSDARG00000000002 &  58.00 &  54.00 &  48.00 &  67.00 &  43.00 &  59.00 &  62.00 &  34.00\\\\\n",
       "\t3 & ENSDARG00000000018 &  93.00 &  94.00 &  88.00 & 148.97 &  65.00 &  88.01 &  65.00 &  65.00\\\\\n",
       "\t4 & ENSDARG00000000019 & 295.18 & 301.00 & 319.82 & 396.58 & 202.16 & 357.03 & 205.68 & 153.83\\\\\n",
       "\t5 & ENSDARG00000000068 &  79.01 &  60.03 &  69.91 &  90.24 &  44.00 &  78.00 &  35.00 &  38.00\\\\\n",
       "\t6 & ENSDARG00000000069 & 238.96 & 192.96 & 203.74 & 263.00 & 102.05 & 181.00 &  92.05 &  99.00\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 9\n",
       "\n",
       "| <!--/--> | GeneID &lt;chr&gt; | SA6_184 &lt;dbl&gt; | SA6_185 &lt;dbl&gt; | SA6_186 &lt;dbl&gt; | SA6_187 &lt;dbl&gt; | SA6_188 &lt;dbl&gt; | SA6_189 &lt;dbl&gt; | SA6_190 &lt;dbl&gt; | SA6_191 &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | ENSDARG00000000001 |  22.00 |  15.00 |  12.00 |  21.00 |   9.00 |  16.00 |   5.00 |  13.00 |\n",
       "| 2 | ENSDARG00000000002 |  58.00 |  54.00 |  48.00 |  67.00 |  43.00 |  59.00 |  62.00 |  34.00 |\n",
       "| 3 | ENSDARG00000000018 |  93.00 |  94.00 |  88.00 | 148.97 |  65.00 |  88.01 |  65.00 |  65.00 |\n",
       "| 4 | ENSDARG00000000019 | 295.18 | 301.00 | 319.82 | 396.58 | 202.16 | 357.03 | 205.68 | 153.83 |\n",
       "| 5 | ENSDARG00000000068 |  79.01 |  60.03 |  69.91 |  90.24 |  44.00 |  78.00 |  35.00 |  38.00 |\n",
       "| 6 | ENSDARG00000000069 | 238.96 | 192.96 | 203.74 | 263.00 | 102.05 | 181.00 |  92.05 |  99.00 |\n",
       "\n"
      ],
      "text/plain": [
       "  GeneID             SA6_184 SA6_185 SA6_186 SA6_187 SA6_188 SA6_189 SA6_190\n",
       "1 ENSDARG00000000001  22.00   15.00   12.00   21.00    9.00   16.00    5.00 \n",
       "2 ENSDARG00000000002  58.00   54.00   48.00   67.00   43.00   59.00   62.00 \n",
       "3 ENSDARG00000000018  93.00   94.00   88.00  148.97   65.00   88.01   65.00 \n",
       "4 ENSDARG00000000019 295.18  301.00  319.82  396.58  202.16  357.03  205.68 \n",
       "5 ENSDARG00000000068  79.01   60.03   69.91   90.24   44.00   78.00   35.00 \n",
       "6 ENSDARG00000000069 238.96  192.96  203.74  263.00  102.05  181.00   92.05 \n",
       "  SA6_191\n",
       "1  13.00 \n",
       "2  34.00 \n",
       "3  65.00 \n",
       "4 153.83 \n",
       "5  38.00 \n",
       "6  99.00 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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   ],
   "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": 5,
   "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>SA6_184</th><th scope=col>SA6_185</th><th scope=col>SA6_186</th><th scope=col>SA6_187</th><th scope=col>SA6_188</th><th scope=col>SA6_189</th><th scope=col>SA6_190</th><th scope=col>SA6_191</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>ENSDARG00000000001</th><td> 22</td><td> 15</td><td> 12</td><td> 21</td><td>  9</td><td> 16</td><td>  5</td><td> 13</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000002</th><td> 58</td><td> 54</td><td> 48</td><td> 67</td><td> 43</td><td> 59</td><td> 62</td><td> 34</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000018</th><td> 93</td><td> 94</td><td> 88</td><td>149</td><td> 65</td><td> 88</td><td> 65</td><td> 65</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000019</th><td>295</td><td>301</td><td>320</td><td>397</td><td>202</td><td>357</td><td>206</td><td>154</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000068</th><td> 79</td><td> 60</td><td> 70</td><td> 90</td><td> 44</td><td> 78</td><td> 35</td><td> 38</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000069</th><td>239</td><td>193</td><td>204</td><td>263</td><td>102</td><td>181</td><td> 92</td><td> 99</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 6 × 8 of type dbl\n",
       "\\begin{tabular}{r|llllllll}\n",
       "  & SA6\\_184 & SA6\\_185 & SA6\\_186 & SA6\\_187 & SA6\\_188 & SA6\\_189 & SA6\\_190 & SA6\\_191\\\\\n",
       "\\hline\n",
       "\tENSDARG00000000001 &  22 &  15 &  12 &  21 &   9 &  16 &   5 &  13\\\\\n",
       "\tENSDARG00000000002 &  58 &  54 &  48 &  67 &  43 &  59 &  62 &  34\\\\\n",
       "\tENSDARG00000000018 &  93 &  94 &  88 & 149 &  65 &  88 &  65 &  65\\\\\n",
       "\tENSDARG00000000019 & 295 & 301 & 320 & 397 & 202 & 357 & 206 & 154\\\\\n",
       "\tENSDARG00000000068 &  79 &  60 &  70 &  90 &  44 &  78 &  35 &  38\\\\\n",
       "\tENSDARG00000000069 & 239 & 193 & 204 & 263 & 102 & 181 &  92 &  99\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 6 × 8 of type dbl\n",
       "\n",
       "| <!--/--> | SA6_184 | SA6_185 | SA6_186 | SA6_187 | SA6_188 | SA6_189 | SA6_190 | SA6_191 |\n",
       "|---|---|---|---|---|---|---|---|---|\n",
       "| ENSDARG00000000001 |  22 |  15 |  12 |  21 |   9 |  16 |   5 |  13 |\n",
       "| ENSDARG00000000002 |  58 |  54 |  48 |  67 |  43 |  59 |  62 |  34 |\n",
       "| ENSDARG00000000018 |  93 |  94 |  88 | 149 |  65 |  88 |  65 |  65 |\n",
       "| ENSDARG00000000019 | 295 | 301 | 320 | 397 | 202 | 357 | 206 | 154 |\n",
       "| ENSDARG00000000068 |  79 |  60 |  70 |  90 |  44 |  78 |  35 |  38 |\n",
       "| ENSDARG00000000069 | 239 | 193 | 204 | 263 | 102 | 181 |  92 |  99 |\n",
       "\n"
      ],
      "text/plain": [
       "                   SA6_184 SA6_185 SA6_186 SA6_187 SA6_188 SA6_189 SA6_190\n",
       "ENSDARG00000000001  22      15      12      21       9      16       5    \n",
       "ENSDARG00000000002  58      54      48      67      43      59      62    \n",
       "ENSDARG00000000018  93      94      88     149      65      88      65    \n",
       "ENSDARG00000000019 295     301     320     397     202     357     206    \n",
       "ENSDARG00000000068  79      60      70      90      44      78      35    \n",
       "ENSDARG00000000069 239     193     204     263     102     181      92    \n",
       "                   SA6_191\n",
       "ENSDARG00000000001  13    \n",
       "ENSDARG00000000002  34    \n",
       "ENSDARG00000000018  65    \n",
       "ENSDARG00000000019 154    \n",
       "ENSDARG00000000068  38    \n",
       "ENSDARG00000000069  99    "
      ]
     },
     "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": 6,
   "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>SA6_184</th><td>SA6_184</td><td>IAV </td></tr>\n",
       "\t<tr><th scope=row>SA6_185</th><td>SA6_185</td><td>IAV </td></tr>\n",
       "\t<tr><th scope=row>SA6_186</th><td>SA6_186</td><td>IAV </td></tr>\n",
       "\t<tr><th scope=row>SA6_187</th><td>SA6_187</td><td>IAV </td></tr>\n",
       "\t<tr><th scope=row>SA6_188</th><td>SA6_188</td><td>CTRL</td></tr>\n",
       "\t<tr><th scope=row>SA6_189</th><td>SA6_189</td><td>CTRL</td></tr>\n",
       "\t<tr><th scope=row>SA6_190</th><td>SA6_190</td><td>CTRL</td></tr>\n",
       "\t<tr><th scope=row>SA6_191</th><td>SA6_191</td><td>CTRL</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",
       "\tSA6\\_184 & SA6\\_184 & IAV \\\\\n",
       "\tSA6\\_185 & SA6\\_185 & IAV \\\\\n",
       "\tSA6\\_186 & SA6\\_186 & IAV \\\\\n",
       "\tSA6\\_187 & SA6\\_187 & IAV \\\\\n",
       "\tSA6\\_188 & SA6\\_188 & CTRL\\\\\n",
       "\tSA6\\_189 & SA6\\_189 & CTRL\\\\\n",
       "\tSA6\\_190 & SA6\\_190 & CTRL\\\\\n",
       "\tSA6\\_191 & SA6\\_191 & CTRL\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 8 × 2\n",
       "\n",
       "| <!--/--> | ID &lt;chr&gt; | Treatment &lt;chr&gt; |\n",
       "|---|---|---|\n",
       "| SA6_184 | SA6_184 | IAV  |\n",
       "| SA6_185 | SA6_185 | IAV  |\n",
       "| SA6_186 | SA6_186 | IAV  |\n",
       "| SA6_187 | SA6_187 | IAV  |\n",
       "| SA6_188 | SA6_188 | CTRL |\n",
       "| SA6_189 | SA6_189 | CTRL |\n",
       "| SA6_190 | SA6_190 | CTRL |\n",
       "| SA6_191 | SA6_191 | CTRL |\n",
       "\n"
      ],
      "text/plain": [
       "        ID      Treatment\n",
       "SA6_184 SA6_184 IAV      \n",
       "SA6_185 SA6_185 IAV      \n",
       "SA6_186 SA6_186 IAV      \n",
       "SA6_187 SA6_187 IAV      \n",
       "SA6_188 SA6_188 CTRL     \n",
       "SA6_189 SA6_189 CTRL     \n",
       "SA6_190 SA6_190 CTRL     \n",
       "SA6_191 SA6_191 CTRL     "
      ]
     },
     "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",
    "# so, for a simple case, we will create a \n",
    "# design guide that separates IAV and control\n",
    "# treated samples.\n",
    "\n",
    "# the example dataset has 8 samples,\n",
    "# the first four are IAV, the second \n",
    "# four are control. \n",
    "samples_treatment <- data.frame(matrix(c(\"IAV\",\"IAV\",\"IAV\",\"IAV\",\n",
    " \"CTRL\",\"CTRL\",\"CTRL\",\"CTRL\"),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": 10,
   "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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NLFxXJiYXDgIK0VG9OFiQ4UpJVAVCbA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\noXIF6bCxYiY2fIwoEhlIHUwPYvQZWcY+SGNN1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hm3eydQHPNZyOGqRFOusLdMej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\nfQGSRLxkmwAAAABJRU5ErkJggg==",
      "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>SA6_184</th><th scope=col>SA6_185</th><th scope=col>SA6_186</th><th scope=col>SA6_187</th><th scope=col>SA6_188</th><th scope=col>SA6_189</th><th scope=col>SA6_190</th><th scope=col>SA6_191</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>ENSDARG00000000001</th><td>3.836271</td><td>3.745139</td><td>3.692167</td><td>3.766826</td><td>3.719396</td><td>3.741230</td><td>3.591766</td><td>3.836938</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000002</th><td>5.625731</td><td>5.655214</td><td>5.601619</td><td>5.616641</td><td>5.765544</td><td>5.661531</td><td>5.946504</td><td>5.663363</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000018</th><td>6.308281</td><td>6.405121</td><td>6.377281</td><td>6.559191</td><td>6.432463</td><td>6.296784</td><td>6.357508</td><td>6.477960</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000019</th><td>7.943723</td><td>8.074900</td><td>8.162797</td><td>8.079781</td><td>8.082021</td><td>8.165812</td><td>8.002712</td><td>7.891643</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000068</th><td>5.926533</td><td>5.818452</td><td>5.942577</td><td>5.909691</td><td>5.881745</td><td>5.944819</td><td>5.687062</td><td>5.831278</td></tr>\n",
       "\t<tr><th scope=row>ENSDARG00000000069</th><td>7.487387</td><td>7.396521</td><td>7.474009</td><td>7.432884</td><td>7.198249</td><td>7.269192</td><td>7.031431</td><td>7.226129</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 6 × 8 of type dbl\n",
       "\\begin{tabular}{r|llllllll}\n",
       "  & SA6\\_184 & SA6\\_185 & SA6\\_186 & SA6\\_187 & SA6\\_188 & SA6\\_189 & SA6\\_190 & SA6\\_191\\\\\n",
       "\\hline\n",
       "\tENSDARG00000000001 & 3.836271 & 3.745139 & 3.692167 & 3.766826 & 3.719396 & 3.741230 & 3.591766 & 3.836938\\\\\n",
       "\tENSDARG00000000002 & 5.625731 & 5.655214 & 5.601619 & 5.616641 & 5.765544 & 5.661531 & 5.946504 & 5.663363\\\\\n",
       "\tENSDARG00000000018 & 6.308281 & 6.405121 & 6.377281 & 6.559191 & 6.432463 & 6.296784 & 6.357508 & 6.477960\\\\\n",
       "\tENSDARG00000000019 & 7.943723 & 8.074900 & 8.162797 & 8.079781 & 8.082021 & 8.165812 & 8.002712 & 7.891643\\\\\n",
       "\tENSDARG00000000068 & 5.926533 & 5.818452 & 5.942577 & 5.909691 & 5.881745 & 5.944819 & 5.687062 & 5.831278\\\\\n",
       "\tENSDARG00000000069 & 7.487387 & 7.396521 & 7.474009 & 7.432884 & 7.198249 & 7.269192 & 7.031431 & 7.226129\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 6 × 8 of type dbl\n",
       "\n",
       "| <!--/--> | SA6_184 | SA6_185 | SA6_186 | SA6_187 | SA6_188 | SA6_189 | SA6_190 | SA6_191 |\n",
       "|---|---|---|---|---|---|---|---|---|\n",
       "| ENSDARG00000000001 | 3.836271 | 3.745139 | 3.692167 | 3.766826 | 3.719396 | 3.741230 | 3.591766 | 3.836938 |\n",
       "| ENSDARG00000000002 | 5.625731 | 5.655214 | 5.601619 | 5.616641 | 5.765544 | 5.661531 | 5.946504 | 5.663363 |\n",
       "| ENSDARG00000000018 | 6.308281 | 6.405121 | 6.377281 | 6.559191 | 6.432463 | 6.296784 | 6.357508 | 6.477960 |\n",
       "| ENSDARG00000000019 | 7.943723 | 8.074900 | 8.162797 | 8.079781 | 8.082021 | 8.165812 | 8.002712 | 7.891643 |\n",
       "| ENSDARG00000000068 | 5.926533 | 5.818452 | 5.942577 | 5.909691 | 5.881745 | 5.944819 | 5.687062 | 5.831278 |\n",
       "| ENSDARG00000000069 | 7.487387 | 7.396521 | 7.474009 | 7.432884 | 7.198249 | 7.269192 | 7.031431 | 7.226129 |\n",
       "\n"
      ],
      "text/plain": [
       "                   SA6_184  SA6_185  SA6_186  SA6_187  SA6_188  SA6_189 \n",
       "ENSDARG00000000001 3.836271 3.745139 3.692167 3.766826 3.719396 3.741230\n",
       "ENSDARG00000000002 5.625731 5.655214 5.601619 5.616641 5.765544 5.661531\n",
       "ENSDARG00000000018 6.308281 6.405121 6.377281 6.559191 6.432463 6.296784\n",
       "ENSDARG00000000019 7.943723 8.074900 8.162797 8.079781 8.082021 8.165812\n",
       "ENSDARG00000000068 5.926533 5.818452 5.942577 5.909691 5.881745 5.944819\n",
       "ENSDARG00000000069 7.487387 7.396521 7.474009 7.432884 7.198249 7.269192\n",
       "                   SA6_190  SA6_191 \n",
       "ENSDARG00000000001 3.591766 3.836938\n",
       "ENSDARG00000000002 5.946504 5.663363\n",
       "ENSDARG00000000018 6.357508 6.477960\n",
       "ENSDARG00000000019 8.002712 7.891643\n",
       "ENSDARG00000000068 5.687062 5.831278\n",
       "ENSDARG00000000069 7.031431 7.226129"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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rSQuQi9FSphYlGRSpiIWS9obetD3/7tt7cObY1Kd/6oX4VE+R/DqG0V3xEfb9/+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\nJEIA0EiEAKCRCAHw/8sAxgZCiwW4AAAAAElFTkSuQmCC",
      "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": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BZmD+n8fpV+RhASCkLgkCqH7lGbjdVjPRZ6hDTd93x6iJBQEAKHVHpe8/a1pR4L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\nf5aL0bUgjsU0AAAAAElFTkSuQmCC",
      "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": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TGD7y3SYd8n//73J/vaY6KUhZriT6pVMNvE7CjZb+kGTG3yLVJn4LLCwmUD61iZ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\nGzXqmCDyDqQ1xiVvbks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      "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": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sB+Cc9FkCpBVYNIqG2Q3oTKTiI0z4wD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\nRLo+gz03my6xLRVpZwZoF2atIg1FegjejrnV7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      "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": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Yo8WbQ4YMuemmm/785z/P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\nEwh2AAAAADzx/wGDhFGYGJ8fnAAAAABJRU5ErkJggg==",
      "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": 15,
   "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": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "out of 23190 with nonzero total read count\n",
      "adjusted p-value < 0.1\n",
      "LFC > 0 (up)       : 198, 0.85%\n",
      "LFC < 0 (down)     : 178, 0.77%\n",
      "outliers [1]       : 1, 0.0043%\n",
      "low counts [2]     : 9890, 43%\n",
      "(mean count < 22)\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": [
       "1783"
      ],
      "text/latex": [
       "1783"
      ],
      "text/markdown": [
       "1783"
      ],
      "text/plain": [
       "[1] 1783"
      ]
     },
     "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": [
       "242"
      ],
      "text/latex": [
       "242"
      ],
      "text/markdown": [
       "242"
      ],
      "text/plain": [
       "[1] 242"
      ]
     },
     "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\",\"CTRL\"))\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": 17,
   "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> 13.41847</td><td> 0.18835632</td><td>0.3934829</td><td> 0.4786899</td><td>0.632159225</td><td>1.00000000</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> 52.35299</td><td>-0.31674443</td><td>0.2139816</td><td>-1.4802414</td><td>0.138808840</td><td>0.67386144</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> 84.91450</td><td> 0.05306751</td><td>0.1798963</td><td> 0.2949894</td><td>0.768001983</td><td>0.96716205</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>265.88474</td><td> 0.03710138</td><td>0.1336276</td><td> 0.2776475</td><td>0.781282934</td><td>0.96928575</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> 58.42713</td><td> 0.12705736</td><td>0.2037073</td><td> 0.6237250</td><td>0.532808193</td><td>0.91577215</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>160.32526</td><td> 0.43056698</td><td>0.1439293</td><td> 2.9915173</td><td>0.002775948</td><td>0.09904945</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 &  13.41847 &  0.18835632 & 0.3934829 &  0.4786899 & 0.632159225 & 1.00000000 & slc35a5   & solute carrier family 35 member A5 {[}Source:NCBI gene;Acc:368418{]}                           \\\\\n",
       "\t2 & ENSDARG00000000002 &  52.35299 & -0.31674443 & 0.2139816 & -1.4802414 & 0.138808840 & 0.67386144 & ccdc80    & coiled-coil domain containing 80 {[}Source:NCBI gene;Acc:368419{]}                             \\\\\n",
       "\t3 & ENSDARG00000000018 &  84.91450 &  0.05306751 & 0.1798963 &  0.2949894 & 0.768001983 & 0.96716205 & nrf1      & nuclear respiratory factor 1 {[}Source:NCBI gene;Acc:64604{]}                                  \\\\\n",
       "\t4 & ENSDARG00000000019 & 265.88474 &  0.03710138 & 0.1336276 &  0.2776475 & 0.781282934 & 0.96928575 & ube2h     & ubiquitin-conjugating enzyme E2H (UBC8 homolog, yeast) {[}Source:ZFIN;Acc:ZDB-GENE-030616-67{]}\\\\\n",
       "\t5 & ENSDARG00000000068 &  58.42713 &  0.12705736 & 0.2037073 &  0.6237250 & 0.532808193 & 0.91577215 & slc9a3r1a & SLC9A3 regulator 1a {[}Source:ZFIN;Acc:ZDB-GENE-031006-7{]}                                    \\\\\n",
       "\t6 & ENSDARG00000000069 & 160.32526 &  0.43056698 & 0.1439293 &  2.9915173 & 0.002775948 & 0.09904945 & 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 |  13.41847 |  0.18835632 | 0.3934829 |  0.4786899 | 0.632159225 | 1.00000000 | slc35a5   | solute carrier family 35 member A5 [Source:NCBI gene;Acc:368418]                            |\n",
       "| 2 | ENSDARG00000000002 |  52.35299 | -0.31674443 | 0.2139816 | -1.4802414 | 0.138808840 | 0.67386144 | ccdc80    | coiled-coil domain containing 80 [Source:NCBI gene;Acc:368419]                              |\n",
       "| 3 | ENSDARG00000000018 |  84.91450 |  0.05306751 | 0.1798963 |  0.2949894 | 0.768001983 | 0.96716205 | nrf1      | nuclear respiratory factor 1 [Source:NCBI gene;Acc:64604]                                   |\n",
       "| 4 | ENSDARG00000000019 | 265.88474 |  0.03710138 | 0.1336276 |  0.2776475 | 0.781282934 | 0.96928575 | ube2h     | ubiquitin-conjugating enzyme E2H (UBC8 homolog, yeast) [Source:ZFIN;Acc:ZDB-GENE-030616-67] |\n",
       "| 5 | ENSDARG00000000068 |  58.42713 |  0.12705736 | 0.2037073 |  0.6237250 | 0.532808193 | 0.91577215 | slc9a3r1a | SLC9A3 regulator 1a [Source:ZFIN;Acc:ZDB-GENE-031006-7]                                     |\n",
       "| 6 | ENSDARG00000000069 | 160.32526 |  0.43056698 | 0.1439293 |  2.9915173 | 0.002775948 | 0.09904945 | 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  13.41847  0.18835632    0.3934829  0.4786899 0.632159225\n",
       "2 ENSDARG00000000002  52.35299 -0.31674443    0.2139816 -1.4802414 0.138808840\n",
       "3 ENSDARG00000000018  84.91450  0.05306751    0.1798963  0.2949894 0.768001983\n",
       "4 ENSDARG00000000019 265.88474  0.03710138    0.1336276  0.2776475 0.781282934\n",
       "5 ENSDARG00000000068  58.42713  0.12705736    0.2037073  0.6237250 0.532808193\n",
       "6 ENSDARG00000000069 160.32526  0.43056698    0.1439293  2.9915173 0.002775948\n",
       "  padj       Gene.name\n",
       "1 1.00000000 slc35a5  \n",
       "2 0.67386144 ccdc80   \n",
       "3 0.96716205 nrf1     \n",
       "4 0.96928575 ube2h    \n",
       "5 0.91577215 slc9a3r1a\n",
       "6 0.09904945 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/IAV_CTRL_DESeq2_annot.txt\",row.names=FALSE,sep=\"\\t\")\n",
    "\n",
    "head(results.annot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "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/IAV_CTRL_DESeq2_annot.txt gs://hon_350/example_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": 20,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/PmzbN1W0qky8lRb9um2rqV8fMTenqKmzWj5QK9XpeRoblzR7Fqld2ECZIuXYgY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DE9oCAABAcyHCxO7XX39dvHixwWDg17BB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\na9euqdVqfqCQmqZNm8a+eKdOnbr77rvj4+PZc5xVVVV8/Zavr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yMjo6GhYcqUKQ6HI/GUHTt2uN1upVJJEITZbN69e3cvN+HNN9+MvcZA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\naCSUrm4AAECjI4r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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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eVy//a3vxERqVRaWVnp5+e3evXq1atXP336NCMjY/369V5eXsRDSTKpVGpmZoYQ\nEovFSqWSfPMiJyeH+Htw165dW7duRQipVKorV664urp6e3u/++67XC5XJpP19fXhMesZGRkZ\nGRkIIXxzkc1mKxQKokOFQmFkZERtcO/evTNnzly4cGFvb69SqRwYGOjt7cWPUxUKRUVFRV5e\nHm5Pp9NxVYdxudzy8nKiK3JLoBbFj2IbGhqCg4P/5xcVFRX4HiwAAAAwbk2ePDklJWXz5s33\n79/HkY6ODqFQ+OjRI/xSS0trxYoVg4OD5BKHMDAwIBaL3d3dVSrVkSNHsrKyiB3uY2Ji1G4U\nS6fTnZycHBwcqqqqEEJ2dnYzZsxITk4mt2lraystLUUIzZkzp7m5uaOjA8crKip4PB61wZs3\nbx4/flxfX19fXz83NzcpKcnU1BQ3KCgo4PP5RDEnkUh8fH7ds+7OnTsWFhZqWwK1KC7sCgoK\nxGLx979oaWlpbW2lNiUAAACvOTxkjYxYkY4QGBhob29PzHVwcHCwsbHx9vYuKSlpbW2trKwU\niUR2dnY2NjbkPtvb2y9dusTn8w0MDIRCYXFxcWdnp6+vL9HtsmXLbt26VVNTozYxBoMhk8kQ\nQrq6umlpaYmJiREREeXl5TKZLD8/XyAQ4BuNpqamrq6uMTExPT09OTk51dXVQUFB1AYPHz5M\nFK/+/v5xcXFE5ZeXl/f+++8Tn3HevHl4Xsjdu3ePHz+ekZERGhqqtiVQi+LCjsPhTJky5eov\n/Pz8YJIEAAAAasXFxbGe1djYOLLZgQMHiOF32trahYWFXC535cqVlpaWS5cuNTQ0PHHiBDF/\nIjo6msVisdnsoKAgDodTWlqqo6MjkUjc3d2JhTwQQnZ2dlZWVmpv2iGEbG1t8/LyVCoVQsjD\nw6OsrKypqcnX19fJySkzMzM7OzshIQE/+RWLxXK5nMPhJCUlFRUV4WXkqA2q1dvbe/r0aWdn\nZyLC4XByc3OPHDliaWm5devWr7/+GhcGI1sCtWjkNazHxtq1a+/evVtUVNTV1XXq1Knw8PB7\n9+7hU0KhkE6nZ2dnv+Dy2gu9Y5LmS3evadwNcPy3acxesZMmjfV/Di/PZj0vqlMYHQMbdlKd\nwqjR2RVBdQqjxMP3t9u8KpZ/QnUGAIymcbfcCQAAAAAA+Pe8ejeNrp3QpTqF0WG3SHO2yp0+\n47lrNb1aRoyieZVZv/3bbV4FOg/vU53C6KlQP3Dq1eOzguoMAADqwR07AAAA4HmJWhoAACAA\nSURBVFf29vbP22+eRqMFBgaSG4eHh4eFheHj3t7eqKgoCwsLPT09W1vbpKQkYsoFj8cjejM1\nNRWJRF1dXeR+EhISaDRaSkoKOeji4kJcRafTORxObGwseQBVW1ubSCTicrlMJtPR0TE7O5s4\nq1AofHx8pkyZ4ujoWFJSMh6CKpUqKioKb0pBfFKRSET+qnNzcxFCN27c+O///m99fX1ra+tD\nhw7hlmqDYCQo7AAAAIBn7NixQ05SW1tLnBKLxadPn1Z7VUhIyMWLF3Nycpqbm/ft25eenk7e\neSwxMVEul7e2tn7zzTdNTU3Ozs4DA78+txGLxSYmJhKJZFifsbGxOAeZTLZ79+7k5GRi8bza\n2lp7e/uenp60tLRr166FhoZu2bJl+/bt+GxAQICOjs7169eFQiGfz8fLslAbjImJuXjx4smT\nJ1NTU6Ojo8+fP48Qampq2r17d80v3NzcBgcHBQIBl8u9ceNGXFzchx9+WFZWpjb4n/zEGuzV\nmzzxbfTgmKT50mnSo9jS/9X57UavAk16FLuO+ynVKYwSZw+qMxg9q/2pzmCUJO6iOoPR8+cP\nhwXs7e2FQuGGDRtGtqXRaKtWrbp8+XJNTc3EiRMRQuHh4YODg2lpaUql0sDA4OzZs/Pnz8eN\nJRJJfHw8Lgp5PF5oaOi6devwqf7+fnNz888//xzvb1FdXe3g4HDy5Ek3N7empiZzc3PczMXF\nRSAQ4AWKMS8vr2nTpmVlZSGEFi9ezGazDx8+TJwtKiry9fWVy+Xd3d3m5uYtLS14hux7770X\nHBwsEAgoDH744YdGRkbnz59/5513EEIJCQkmJiYrV66cPn36sWPHHBwciE8hlUrNzc1lMtnM\nmTPxzxEcHOzt7T0yGBGhKbORRhXcsQMAAAB+r8jISAaDQb4Vh+Enifn5+UqlEkf8/f2rq6vV\ndqKrqxsQEHDq1Cn8UiwWL1iwYNGiRbNmzSIWxlOLTqdPnz4dIXT79m282Bv5LJ/PP3fuHJ1O\nr6qqwk88cXzu3Lk3btygNlhRUTFx4kRc1SGE4uLiVq5c+fjx47a2tm3btjGZTEtLyy+//BIh\nZGJiYmFh8de//rWzs7OoqKi+vn7+/Plqgy/4ol5n46uwe/Lkyd27d8+qg9faBgAAAF62iIgI\n8sAvvE8XNmHChPT09OTk5Lq6OvIl2traqampmZmZpqamoaGhubm53d3dxCJ2I5mZmUmlUnws\nkUgCAgIQQn5+fsNWsOvt7cUrJMvl8h9++OHq1avLly9HCNXV1U2dOtXExAQ3w6sfKxQKLper\nq6vb3t5uaGhIdMJisdrb26kNtrW1sVisTz755M0332SxWJs2bRocHMR7TS1cuLCurm7Xrl2x\nsbHff/89nU4Xi8XJycksFutPf/pTVFSUo6Oj2uDzvtvX3PiaFfvzzz9fvnyZ+EcM2cyZM/Fy\n2wAAAMBLtWPHDvyQFCNWIcacnZ2Dg4PDwsKKi4vJcZFI5O3tXVBQcObMmdDQ0L6+vj179oSE\nhKh9CxqNhg/KyspaW1s9PT37+/sFAsHOnTvr6+utra3x2fj4+Pj4eOKq2NjY2bNnI4QePHjA\nZDKJeGRkZGZmJj7et28fg8Eg+scGBweHhoYoDHZ2dtbU1CxZskQqlcpkMh8fHyMjo40bN/b0\n9OAtwpYuXVpSUvLdd9/Nmzfvz3/+89dff+3v719bW7t8+XIej+fs7Dwy6Ofnp/a7fc2Nrzt2\nly5dGnoOqOoAAACMDSaTySYh7wyB7dq166effiLmMSCEpFJpbm6uoaHh6tWrv/vuO7lcnpyc\nvH79+rt376p9C6lUamZmhhASi8VKpdLIyGjixInz5s1DCJFv2u3atQv/Jfj06dOysrK9e/de\nuXIFIcTlcmUyWV9fH26WkZGBm3l4eCCE2Gw2eY9ahUJhZGREbdDQ0JDNZm/fvn3SpElz5swJ\nCwsrLCyk0+nkjV+5XG5bW1tRUZGZmdmaNWv09fWdnJw+/vjjQ4cOqQ2q/WLB+CrsAAAAgPFv\n8uTJKSkpmzdvxvM9EUIdHR1CofDRo0f4pZaW1ooVKwYHB8klDmFgYEAsFru7u6tUqiNHjmRl\nZRF3MWJiYtTuJ0an052cnBwcHPDAJDs7uxkzZiQnJ5PbtLW1lZaWIoTmzJnT3NxMbMZaUVHB\n4/GoDVpZWSmVSmL9F6VSyWAwJBKJj48Pkf+dO3csLCwGBgbwnmmYSqXq7+9XG3zuz/N6g8IO\nAAAAeAYeskb2dMSc+cDAQHt7e2Kug4ODg42Njbe3d0lJSWtra2VlpUgksrOzs7GxIffZ3t5+\n6dIlPp9vYGAgFAqLi4s7Ozt9fX/dom3ZsmW3bt2qqVG/ljWDwcDPr3R1ddPS0hITEyMiIsrL\ny2UyWX5+vkAgYLPZCCFTU1NXV9eYmJienp6cnJzq6uqgoCBqgw4ODiYmJhs3brx3796lS5f2\n798fGBg4b948PAXk7t27x48fz8jICA0N5fP5NTU1qampnZ2dFy5c+Oqrr5YuXao2OOq/u2ag\nsrBrbm6Wy+Uj/2sBAAAAKBQXF8d6VmNj48hmBw4cIIbfaWtrFxYWcrnclStXWlpaLl261NDQ\n8MSJE8T8iejoaBaLxWazg4KCOBxOaWmpjo6ORCJxd3cnP+q1s7OzsrJSe9MOIWRra5uXl4fv\nXXl4eJSVlTU1Nfn6+jo5OWVmZmZnZyckJODpqGKxWC6XczicpKSkoqIiFotFefDYsWMNDQ3W\n1tZCofDTTz9dsWIFh8PJzc09cuSIpaXl1q1bv/76axcXFzMzs8LCwsOHD5uYmIhEok2bNn30\n0Udqg6P0a2saatax+7//+z9igUcajUa+v/qbYB27cQjWsRuHYB278QjWsRuHRqxjB8ArjZo7\ndtOmTbt3755CocjOzsaFPAAAAAAA+A9RttzJtGnTEEJ6enrDJkX/pgm6Y32L8SUZ+hduU453\niz/sozqF0bHax4DqFEbNuq7LVKcwSsy4VGcwehZryJKqD529qE5h1EyiOgEARhdMngAAAAAA\n0BBQ2AEAAAC/sre3pz1r6tSp+BSNRgsMDCQ3Dg8PDwsLw8e9vb1RUVEWFhZ6enq2trZJSUnE\n7EAej0f0ZmpqKhKJurq6yP0kJCTQaLSUlBRy0MXFhbiKTqdzOJzY2FjyyPi2tjaRSMTlcplM\npqOjY3Z2NnFWoVD4+PhMmTLF0dGxpKRkPARVKlVUVBTebYz4pDdv3lywYAGTyTQ3N9+5cyfO\nX21QbZ9gJCjsAAAAgGfs2LFDTlJbW0ucEovFxOS/YUJCQi5evJiTk9Pc3Lxv37709HTylrKJ\niYlyuby1tfWbb75pampydnYeGPh1Cp1YLDYxMZFIJMP6jI2NxTnIZLLdu3cnJycTqyLX1tba\n29v39PSkpaVdu3YtNDR0y5Yt27dvx2cDAgJ0dHSuX78uFAr5fD5eb4/aYExMzMWLF0+ePJma\nmhodHX3+/HmlUrlkyRIej9fY2Jidnb13796MjAy1wef1CUaiZlbskydPDh8+jBA6cuRIeHj4\nvXv3fv/l4s+VLy21MWU7T0M+CELIYJqGzCbVpDF2F+bOpTqFURKgQZMWiwupzmB0PPw0neoU\nRs2kqdOGRezt7YVC4YYNG0Y2ptFoq1atunz5ck1NzcSJExFC4eHhg4ODaWlpSqXSwMDg7Nmz\nxOb0EokkPj4eF4U8Hi80NHTdunX4VH9/v7m5+eeff47X7KiurnZwcDh58qSbm1tTU5O5uTlu\n5uLiIhAItm7dSiTg5eU1bdq0rKwshNDixYvZbDb+yxQrKiry9fWVy+Xd3d3m5uYtLS146ZP3\n3nsvODhYIBBQGPzwww+NjIzOnz//zjvvIIQSEhJMTEzefvvtefPmPXjwAH+Z27dvLysr++KL\nL0YGDx48OLJP4vsEZHDHDgAAAPi9IiMjGQwG+VYchh+Y5ufnK5X//Ee7v79/dXW12k50dXUD\nAgKIjdHFYvGCBQsWLVo0a9YsYsVjteh0+vTp0xFCt2/fxkv7ks/y+fxz587R6fSqqir8xBPH\n586de+PGDWqDFRUVEydOxFUdQiguLm7lypVMJnP//v24gEMIKRQKLS0ttUG1fb7gi3qdjbvC\nrqura/bs2X5+fsufFRkZSXVqAAAAXgsRERHkMXZ8Pp84NWHChPT09OTk5Lq6OvIl2traqamp\nmZmZpqamoaGhubm53d3dxOrEI5mZmUmlUnwskUgCAgIQQn5+fsOWJu7t7cVbX8jl8h9++OHq\n1avLly9HCNXV1U2dOtXExAQ3w9taKBQKLperq6vb3t5uaGhIdMJisdrb26kNtrW1sVisTz75\n5M0332SxWJs2bRocHLS0tFyzZg1uduHChUOHDq1Zs0ZtUG2fz/tuX3PjrrDr6Oiora3V1dWd\n8iwmk0l1agAAAF4Lw8bYfffdd+Szzs7OwcHBxJwJgkgkampqSkhI6O7uDg0NNTY2Tk9/7jNr\nYqmvsrKy1tZWT0/P/v5+gUBw48aN+vp6oll8fDze+sLIyMjPz2/16tWzZ89GCD148ID812Jk\nZCSxSUZ6evrQ0NCwpcQGBwepDXZ2dtbU1EyZMkUqlZ47dy4vL2/fvn347OPHjzdt2uTp6ZmW\nlkZsHTssqLbP53y1rzvK1rF7ngkTJiCEEhMTTU1Nqc4FAADA64jJZOJNV59n165dXC6XmMeA\nEJJKpZWVlbj2Wr169dOnTzMyMtavX+/l5UU8QCSTSqVmZmYIIbFYrFQqjYyMiFM5OTmfffYZ\n8UZ4jJ1Kpbpy5Yqrq6u3t/e7777L5XJlMllfX98bb7yBEMrIyMAzDPDNRTabrVAoiA4VCoWR\nkRG1QUNDQzabjed2zJkzJywsrLCwcPPmzQ0NDV5eXkZGRhUVFW+//Ta+ZGRQbZ8v+IFeZ+Pu\njh0AAAAwzk2ePDklJWXz5s3E3MyOjg6hUPjo0SP8UktLa8WKFYODg+RyhDAwMCAWi93d3VUq\n1ZEjR7KysoZ+ERMTo3ajWDqd7uTk5ODgUFVVhRCys7ObMWNGcnIyuU1bW1tpaSlCaM6cOc3N\nzR0dHTheUVHB4/GoDVpZWSmVSmL9F6VSyWAwBgYGPD09PTw8fvzxR6KqUxtU2+dv/06vJSjs\nAAAAgGfgIWtkT0fsJB0YGGhvb0/MdXBwcLCxsfH29i4pKWltba2srBSJRHZ2djY2NuQ+29vb\nL126xOfzDQwMhEJhcXFxZ2enr68v0e2yZctu3bpVU1OjNjEGgyGTyRBCurq6aWlpiYmJERER\n5eXlMpksPz9fIBDgG42mpqaurq4xMTE9PT05OTnV1dVBQUHUBh0cHExMTDZu3Hjv3r1Lly7t\n378/MDCwsLDw/v37a9asaWhoqK+vr6+vb2lpURtU2+eo/+6aAQo7AAAA4BlxcXGsZzU2No5s\nduDAAR0dHXysra1dWFjI5XJXrlxpaWm5dOlSQ0PDEydOEPMnoqOjWSwWm80OCgricDilpaU6\nOjoSicTd3X3KlClEn3Z2dlZWVmpv2iGEbG1t8/LyVCoVQsjDw6OsrKypqcnX19fJySkzMzM7\nOzshIQE/+RWLxXK5nMPhJCUlFRUV4W3ZqQ0eO3asoaHB2tpaKBR++umnK1asuHnzZldXF4/H\n4/5CJBKpDT6vTzDSuFvHrrm5Gc8Vet4YO1jHbhyCdezGIVjHbjyCdezGn5Hr2AHwSqN48oRM\nJlMoFBYWFkQEr8Td0dEBkycAAAAAAP4lFBd2gYGBcrnc2tqaiNy/fz82NpZ8X3qYSayxvsX4\nkrw5U3Omajdf06E6hdFhytaQP10IIdT5gOoMRsdDZy+qUxg1k749SHUKo4Ou0pz/fQGgYSgu\n7KZPn75nzx5ypLm5OTY2Vlt73K3DAgAAAAAwzsHkCQAAAOBX9vb2tGdNnToVn6LRaIGBgeTG\n4eHhxErFvb29UVFRFhYWenp6tra2SUlJxFxaHo9H9GZqaioSibq6usj9JCQk0Gi0lJQUctDF\nxYW4ik6nczic2NhY8sj4trY2kUjE5XKZTKajo2N2djZxVqFQ+Pj4TJkyxdHRsaSkZDwEVSpV\nVFQU3hls2CdFCH3wwQfbtm3Dxzdv3lywYAGTyTQ3N9+5c+fQ0FBWVtbzfhQwDBR2AAAAwDOG\n7TxRW1tLnBKLxadPn1Z7VUhIyMWLF3Nycpqbm/ft25eenk7eUjYxMVEul7e2tn7zzTdNTU3O\nzs54TDnRrYmJiUQiGdZnbGwszkEmk+3evTs5OZlYFbm2ttbe3r6npyctLe3atWuhoaFbtmzB\nKwAjhAICAnR0dK5fvy4UCvl8Pl5vj9pgTEzMxYsXT548mZqaGh0dff78eeJjFhYWEgvHKJXK\nJUuW8Hi8xsbG7OzsvXv3ZmRkLFmypIZEJBJ98MEH//oP+1qgeFbsSL85K7Zo/4Da+CuH5/aE\n6hRGjcaMscv8SpfqFEbN3ybbUp3C6Hj4jwtUpzBqJoX9ieoURsejv/4v1SmMGgP28G0h7O3t\nhULhhg0bRjam0WirVq26fPlyTU0N3qU+PDx8cHAwLS1NqVQaGBicPXt2/vz5uLFEIomPj8dF\nIY/HCw0NXbduHT7V399vbm7++eeff/TRRwih6upqBweHkydPurm5NTU1mZub42YuLi4CgQDv\nPIF5eXlNmzYtKysLIbR48WI2m03+y7SoqMjX11cul3d3d5ubm7e0tOClT957773g4GCBQEBh\n8MMPPzQyMjp//vw777yDEEpISDAxMVm5ciVCqKenh8fjTZw4cenSpfHx8ZWVlfPmzXvw4AH+\nhrdv315WVnbixAniY969e9fT0/Py5ct6enr/3o+u2cbpHbuHDx8+eFZ/fz/VSQEAAHjdRUZG\nMhgM8q04DD8fzM/PVyr/uZSVv79/dXW12k50dXUDAgJOnTqFX4rF4gULFixatGjWrFnEjSu1\n6HT69OnTEUK3b98+c+ZMQkIC+Syfzz937hydTq+qqsJPPHF87ty5N27coDZYUVExceJEXNUh\nhOLi4nBVhxCKiYnx9va2s7PDL5lM5v79+3FVhxBSKBTEWoBYdHT09u3boap7nnFX2OECzs7O\n7s1n4T31AAAAgJctIiKCPJwLb8CKTZgwIT09PTk5ua6ujnyJtrZ2ampqZmamqalpaGhobm5u\nd3f3sIqEDD+bwscSiSQgIAAh5OfnN2xp4t7eXrz1hVwu/+GHH65evbp8+XKEUF1d3dSpU01M\nTHAzvK2FQqHgcrm6urrt7e2GhoZEJywWq729ndpgW1sbi8X65JNP3nzzTRaLtWnTpsHBQYRQ\neXl5QUEBuUK1tLRcs2YNPr5w4cKhQ4eIlwihioqKW7dueXt7P++LBS938mlWVlZ8fLyVlRU5\neO3atResZmJtbf3jjz9OmjRpWPwFlwAAAACjaMeOHfghKUZsL4E5OzsHBweHhYUVFxeT4yKR\nyNvbu6Cg4MyZM6GhoX19fXv27AkJCVH7FjQaDR+UlZW1trZ6enr29/cLBIKdO3fW19cTq4DF\nx8fHx8cTV8XGxs6ePRsh9ODBAyaTScQjIyMzMzPx8b59+xgMBtE/Njg4ODQ0RGGws7OzpqZm\nyZIlUqlUJpP5+PgYGRlt2LBh7dq1X331lb6+/rDv5/Hjx9u2bTt48GBGRoaPjw8R37Zt26ZN\nmxB4vpdb2HV0dDx+/HjRokXkYFtbG/mP40iurq4vNSsAAADgBZhMJt509Xl27drF5XKJeQwI\nIalUWllZ6efnt3r16tWrVz99+jQjI2P9+vVeXl7EQ0kyqVSKn0SJxWKlUmlkZEScysnJ+eyz\nz4g3wmPsVCrVlStXXF1dvb293333XS6XK5PJ+vr63njjDYRQRkZGRkYGQgjfXGSz2QqFguhQ\noVAYGRlRGzQ0NGSz2Xhux5w5c8LCwgoLC1Uq1cyZMxcuXNjb26tUKgcGBnp7e/X09BoaGry8\nvIyMjCoqKt5++21yVxUVFXl5eS/4acDLfRQ7efJkQ0PDrc9ydnYmbzUBAAAAvFomT56ckpKy\nefNmPN8TIdTR0SEUCh89eoRfamlprVixYnBwkFziEAYGBsRisbu7u0qlOnLkSFZW1tAvYmJi\n1G4US6fTnZycHBwcqqqqEEJ2dnYzZsxITk4mt2lraystLUUIzZkzp7m5uaOjA8crKip4PB61\nQSsrK6VSSaz/olQqGQzGzZs3jx8/rq+vr6+vn5ubm5SUZGpqOjAw4Onp6eHh8eOPP5KrOoRQ\nQUEBn89nMBi/5zd6bY27MXYAAAAAtfCQNTKiIiEEBgba29sTcx0cHBxsbGy8vb1LSkpaW1sr\nKytFIpGdnZ2NjQ25z/b29kuXLvH5fAMDA6FQWFxc3NnZ6evrS3S7bNmyW7du1dTUqE2MwWDI\nZDKEkK6ublpaWmJiYkRERHl5uUwmy8/PFwgE+Eajqampq6trTExMT09PTk5OdXV1UFAQtUEH\nBwcTE5ONGzfeu3fv0qVL+/fvDwwMPHz4MFHR+vv7x8XFdXR0FBYW3r9/f82aNQ0NDfX19fX1\n9S0tLfjj5+Xlvf/++6P6U2sgKOwAAACAZ8TFxbGe1djYOLLZgQMHiOF32trahYWFXC535cqV\nlpaWS5cuNTQ0PHHiBDF/Ijo6msVisdnsoKAgDodTWlqqo6MjkUjc3d3Jg8jt7OysrKzU3rRD\nCNna2ubl5alUKoSQh4dHWVlZU1OTr6+vk5NTZmZmdnZ2QkICfvIrFovlcjmHw0lKSioqKmKx\nWJQHjx071tDQYG1tLRQKP/300xUrVqj9jDdv3uzq6uLxeNxfiEQihFBvb+/p06ednZ3/jR/0\ntfJy17E7ePDgl19++dNPP5GDL17H7jfBOnbjEKxjNw7BOnbjEKxjNw6NXMcOgFfaq7clK9/5\nMtUpjI7ym3+gOoVRcyZXQwq7fiXVGYwiSw1ZIUin9yHVKYyeWbOozmB0GPxURnUKo4e9hOoM\nABhN8CgWAAAAAEBDQGEHAAAA/Mre3v55+83TaLTAwEBy4/Dw8LCwMHzc29sbFRVlYWGhp6dn\na2ublJRETLng8XhEb6ampiKRqKuri9xPQkICjUZLSUkhB11cXIir6HQ6h8OJjY0lD6Bqa2sT\niURcLpfJZDo6OmZnZxNnFQqFj4/PlClTHB0dS0pKxjiIHT16dO3atcRLlUoVFRWFN6XAnzQr\nK2vkV602+Lw+wUhQ2AEAAADP2LFjh5wE7/eKicXi06dPq70qJCTk4sWLOTk5zc3N+/btS09P\nJ+88lpiYKJfLW1tbv/nmm6amJmdn54GBX4eMi8ViExMTiUQyrM/Y2Ficg0wm2717d3JyMrF4\nXm1trb29fU9PT1pa2rVr10JDQ7ds2YIXikMIBQQE6OjoXL9+XSgU8vl8vCzLmAUfPnx49OjR\nmJgY8meJiYm5ePHiyZMnU1NTo6Ojz58/v2TJkhoSkUj0wQcfqA0+r08w0qs3xg4AAAB4qV6w\nQPGqVas+/vjjmpoaYjNTTKlUHj169OzZs46OjgihxYsXf/HFF/Hx8cRSw0SfxsbGc+fONTc3\nP3ToEN7forq6ur6+/uTJk25ubnfu3DE3Nye6NTAwIDLx9/f/xz/+UVJSIhQKEUKRkZFubm7E\nTEQrKytjY2NfX98NGzZ0d3efPXu2paXF2Nh4/fr13377bU5OjkAgGJvgunXrYmJiCgoKyHcl\nnzx5kp6efv78eVtbW1tb288++6ylpeWPf/wjMSP47t27165du3z5sp6e3sggQmhkn0AtuGMH\nAAAA/F6RkZEMBoN8Kw7DDw3z8/OVyn9OwvL396+urlbbia6ubkBAwKlTp/BLsVi8YMGCRYsW\nzZo1i1gYTy06nT59+nSE0O3bt8+cOUPeYhUhxOfzz507R6fTq6qq8BNPHJ87d+6NGzfGLIgQ\nSk1NbWlpGbbH68SJE9955x38Mi4ubuXKleTko6Ojt2/frqen97zgyD6BWuPrjl1cXNyECROG\n/TMI43A4w0Y2AAAAAC9DREREREQE8dLDw+PEiRP4eMKECenp6a6urkFBQVwul2ijra2dmpq6\nceNGsVjs5eXl5ubm5ub2gv0zzczMzp07h48lEsm2bdsQQn5+fjk5OdHR0USz3t7ezs5OhJBS\nqSwtLb169SquKevq6qZOnWpiYoKb9fT09Pf3I4S4XK6urm57e7uhoSHRCYvFkkqlYxZU+3nb\n2tpYLNYnn3zy97//nU6nBwcH/8///I+29j+LkIqKilu3bn377bfkS9QGwW8aX4VdcnLyjBkz\nJk+ePPIUm82Gwg4AAMAY2LFjB35IihGrEGPOzs7BwcFhYWHFxcXkuEgk8vb2LigoOHPmTGho\naF9f3549e0JCQtS+BY1GwwdlZWWtra2enp79/f0CgWDnzp319fXW1tb4bHx8fHx8PHFVbGzs\n7NmzEUIPHjwgV42RkZGZmZn4eN++fQwGg+gfGxwcHBoaGpug2s/b2dlZU1OzZMkSqVQqk8l8\nfHyMjIw2b96Mz27btm3Tpk3DLlEbBL9pfD2K1dPTS0pKuqrO8ePHqc4OAADAawGPhyOQd4bA\ndu3a9dNPPxHzGBBCUqk0NzfX0NBw9erV3333nVwuT05OXr9+/d27d9W+hVQqNTMzQwiJxWKl\nUmlkZDRx4sR58+YhhMjbTuzatQvvuPX06dOysrK9e/deuXIFIcTlcmUyWV9fH26WkZGBm3l4\neCCE2Gw2eY9ahUJhZGQ0ZkG1n9fQ0JDNZm/fvn3SpElz5swJCwsrLCwkrqqoqPD29ia3VxsE\nv8f4KuwAAACA8W/y5MkpKSmbN2/Gk0ARQh0dHUKh8NGjR/illpbWihUrBgcHyXUPYWBgQCwW\nu7u7q1SqI0eOZGVlEVumxsTEqN1PjE6nOzk5OTg4VFVVIYTs7OxmzJiRnJxMbtPW1lZaWooQ\nmjNnTnNzc0dHB45XVFTweLwxC6r9xqysrJRKJbH+i1KpZDAY+LigoIDPyV5mZAAAIABJREFU\n5xMvXxAEvwcUdgAAAMAzenp6Op9FVCSEwMBAe3t7Yq6Dg4ODjY2Nt7d3SUlJa2trZWWlSCSy\ns7OzsbEh99ne3n7p0iU+n29gYCAUCouLizs7O319fYluly1bduvWrZqaGrWJMRgMmUyGENLV\n1U1LS0tMTIyIiCgvL5fJZPn5+QKBAE+hNTU1dXV1jYmJ6enpycnJqa6uDgoKGrOg2swdHBxM\nTEw2btx47969S5cu7d+/nxhelZeX9/777w9rrzYIfg8o7AAAAIBnxMXFsZ7V2Ng4stmBAweI\n4Xfa2tqFhYVcLnflypWWlpZLly41NDQ8ceKElpYWbhAdHc1isdhsdlBQEIfDKS0t1dHRkUgk\n7u7u5Ee9dnZ2VlZWam/aIYRsbW3z8vJUKhVCyMPDo6ysrKmpydfX18nJKTMzMzs7OyEhAc9R\nFYvFcrmcw+EkJSUVFRWxWKyxDKp17NixhoYGa2troVD46aefrlixAiHU29t7+vRpZ2dncku1\nQfA70chrWI+6gwcPfvnllz/99BM5uHbt2idPnhBL75AZGhpmZGQsWfKinfuGrha/4OwrpFyq\nOXvFFol1qU5hdNxupv12o1eExFlD9pvvi/qS6hRGzRtf/4XqFEaJmx/VGYyeP8JesUCjwB07\nAAAAAAANMb6WO/k9eo0tqE5hdFxO1fntRq8IFusl3vcdS1OnacgHQQgh4xlUZzA6+vWHT0h8\ndb3x8CHVKYyS8rNUZzB64I4d0Cxwxw4AAAAAQENQVtgdP3782ggDAwPPW9sQAAAAGAP29va0\nZ02dOhWfotFow5bKDw8PDwsLw8e9vb1RUVEWFhZ6enq2trZJSUnEXFoej0f0ZmpqKhKJhu15\nmpCQQKPRUlJSyEEXFxfiKjqdzuFwYmNjySPj29raRCIRl8tlMpmOjo7Z2dnEWYVC4ePjM2XK\nFEdHx5KSkvEQvHnz5oIFC5hMprm5+c6dO8kf5OjRo2vXriVelpeXz58/n8lk2tvbFxUVIYSy\nsrKe96OAYagp7KRSqUAgcByhp6fnwoULlKQEAAAAYDt27JCT1NbWEqfEYvHp06fVXhUSEnLx\n4sWcnJzm5uZ9+/alp6eTt5RNTEyUy+Wtra3ffPNNU1OTs7PzwMAAuVsTExOJRDKsz9jYWJyD\nTCbbvXt3cnIysSpybW2tvb19T09PWlratWvXQkNDt2zZsn37dnw2ICBAR0fn+vXrQqGQz+fj\n9fYoDCqVyiVLlvB4vMbGxuzs7L1792ZkZCCEHj58ePTo0ZiYGOIjy+VyDw+PZcuWNTU1xcXF\nLVu2rLGxccmSJTUkIpHogw8++Dd/XU1HzRg7vNsJnrBNZmhouHDhQkpSAgAAADC884TaU6tW\nrfr4449ramqGbWuuVCqPHj169uxZR0dHhNDixYu/+OKL+Pj4zz77bFifxsbGc+fONTc3P3To\nEN64rLq6ur6+/uTJk25ubnfu3DE3Nye6NTAwIDLx9/f/xz/+UVJSIhQKEUKRkZFubm7EEhNW\nVlbGxsa+vr4bNmzo7u4+e/ZsS0uLsbHx+vXrv/3225ycHIFAQGHQ2dn5559/TkpKmjhx4rRp\n09atW5eXl/fRRx/FxMQUFBSQ718eP37c3Nx8w4YNCCE/P7/CwsJDhw4lJCQQi8LcvXv32rVr\nly9f/o9/Z80EY+wAAACA3ysyMpLBYJBvxWH4+WB+fr5SqcQRf3//6upqtZ3o6uoGBAScOnUK\nvxSLxQsWLFi0aNGsWbOIFY/VotPp06dPRwjdvn37zJkzCQkJ5LN8Pv/cuXN0Or2qqmrmzJl4\nQTuE0Ny5c2/cuEFtkMlk7t+/n6iGFQoFXuEvNTW1paVlzZo1xKfo7e3V1f11CS09Pb2Ghgby\nx4yOjt6+fbuent4LvqjX2bgr7G7duoWfyg/j6elJdWoAAABeCxEREeThXHw+nzg1YcKE9PT0\n5OTkuro68iXa2tqpqamZmZmmpqahoaG5ubnd3d3E6sQjmZmZSaVSfCyRSAICAhBCfn5+w5Ym\n7u3txVtfyOXyH3744erVq8uXL0cI1dXVTZ061cTEBDfD21ooFAoul6urq9ve3m5oaEh0wmKx\n2tvbqQ1aWloS1duFCxcOHTpELubIFi1adO3atZycnMePH589e/bw4cPEvm0IoYqKilu3bsEe\nsi8w7pY76e/vf/jwIb47TfaCxawBAACAUbRjxw7yX0PE9hKYs7NzcHBwWFhYcfEzC+aLRCJv\nb++CgoIzZ86Ehob29fXt2bMnJCRE7VvQaP9cDr2srKy1tdXT07O/v18gEOzcubO+vt7a2hqf\njY+Pj4+PJ66KjY2dPXs2QujBgwdMJpOIR0ZGZmZm4uN9+/bh8U7ktxscHBwaGqIwiA8eP368\nbdu2gwcPZmRk+Pj4qP1mbG1tDx8+vHXr1qCgoD/84Q9Lly4lduBFCG3btm3Tpk1qLwTYuCvs\nJkyYgBAaWdgBAAAAY+MFY+ywXbt2cblcYh4DQkgqlVZWVvr5+a1evXr16tVPnz7NyMhYv369\nl5cX8VCSTCqVmpmZIYTEYrFSqTQyMiJO5eTkECPzdu3atXXrVoSQSqW6cuWKq6urt7f3u+++\ny+VyZTJZX1/fG2+8gRDKyMjAcxHwzUU2m61QKIgOFQqFkZERtUGEUENDg5eXl5GRUUVFxdtv\nv/2Cr3f58uXLly9XqVR0On3dunXEU1eFQlFRUZGXl/eCa8G4exQLAAAAjHOTJ09OSUnZvHkz\n8ZSwo6NDKBQS95a0tLRWrFgxODhILnEIAwMDYrHY3d1dpVIdOXIkKytr6BcxMTFqN4ql0+lO\nTk4ODg5VVVUIITs7uxkzZiQnJ5PbtLW1lZaWIoTmzJnT3Nzc0dGB4xUVFTwej9rgwMCAp6en\nh4fHjz/++OKqrrGxMSAg4MmTJ3Q6HSF0+vRpd3d3fKqgoIDP5zMYjBdcDqCwAwAAAJ6Bh6yR\nESvSEQIDA+3t7Ym5Dg4ODjY2Nt7e3iUlJa2trZWVlSKRyM7OzsbGhtxne3v7pUuX+Hy+gYGB\nUCgsLi7u7Oz09fUlul22bNmtW7dqamrUJsZgMGQyGUJIV1c3LS0tMTExIiKivLxcJpPl5+cL\nBAJ8o9HU1NTV1TUmJqanpycnJ6e6ujooKIjaYGFh4f3799esWdPQ0FBfX19fX9/S0qL2M3I4\nnOLi4v/P3r3HNXWkjQMfAhIKJUoJ0qCRi6AhbSxh6bpY7S4oQnhhAREL4iXk1YJVK3ihbMBW\nLiKLFOn6IrIguuWtSVwUXktRuapYfohXbgoChpRSIkhABC8E4ffHtKdHCLZbKUF4vn+dPGfO\nZHKOfhznzDwTERHR0tISFhZGoVCIjl12dvb777//25/r1AAdOwAAAOA5ERER9Oc1NjaOLHbo\n0CFi+p2WllZubi6LxVq7dq2lpeXKlSsNDQ3PnDlDrJ8ICwuj0+nGxsb+/v5MJrOsrExbW1ss\nFjs7OxOJPBBCNjY2VlZWKgftEEJsNjs7OxsnC3NxcSkvL29qavLy8lq4cGF6enpGRkZMTAx+\n8ysSieRyOZPJjI+Pz8vLw/PU1Risrq7u7u7mcDisnwgEApW/kUqlnjp1qqCggMPhVFdXFxUV\naWlpIYT6+vry8/Pt7e1/yxOdSjTIqZ/H3OHDh7/44ovbt2+Tgxs3bpTJZIWFhSrz2G3btm3P\nnj0jTxF6f/jud2nruEsNn6XuJoyZadPU3YIxojGJ/qezlblJ3U0YG91BsepuwpiZ8Rlf3U0Y\nI8w56m7B2PnkkLpbAMBYmliLJ3p6ej777DN1twIAAAAA4JU0sTp2JSUl1dXVmzdvfkGZAeok\nmTX55uxRRyVfPb/jsO+4qr45atKpV8+NM+puwdh4un6/upswdt7mqrsFY2TSjNIDMOlMrDdP\nixcvZrFY6m4FAACAqYvL5Y6237yGhsbq1avJhbdu3bpp04/THvr6+kJDQ+fOnaunp8dms+Pj\n44klFxwOh6jNzMxMIBCQN9FCCMXExGhoaCQmJpKDS5YsIa6iUChMJjM8PJw8gaqtrU0gELBY\nLBqNZmdnl5GRQZxVKBSenp444X9paek4B7GsrKyNGzcSHy9fvrx48WIajcblcvPy8l5wucqS\ng4ODoaGheE+LYTcKkE2sjh0AAACgdlFRUXKS2tpa4pRIJMrPz1d5VWBg4MWLFyUSSXNzc1JS\nUmpqKnnnsdjYWLlc3traevTo0aamJnt7+/7+fnK1pqamYrF4WJ3h4eG4DTKZbP/+/QkJCUTy\nvNraWi6X29vbm5KScu3ataCgoF27dkVGRuKzfn5+2traN27c4PP5PB4Pp2UZt+CDBw+ysrKE\nQiHxQ+RyuYuLi4+PT1NTU0REhI+PD16PMvLy0UoKhcKLFy+ePXs2OTk5LCzs/Pnzv+nZTn4T\na/EEQqikpGTp0qUvWDzR3Xl/tFOvlm+Spqu7CWMHXsVOPHEdpupuwti4d1J13odXkXFuwi8X\neiVMplex//3psACXy+Xz+XgT+mE0NDTWrVv37bff1tTU4G1Pt27dOjAwkJKSolQq9fX1CwsL\nFy9ejAuLxeLo6GjcKeRwOEFBQcREo6dPn1pYWHz22Wc4G39VVZWtre3Zs2ednJyamposLCxw\nsSVLlri5ueEExZi7u/vMmTOPHDmCEFq+fLmxsXFmZiZxNi8vz8vLSy6X9/T0WFhYtLS04BWy\nf/zjH9evX+/m5jY+wc2bN2/evPn06dPd3d2+vr44c/KRI0cOHTp07do13NSAgIBZs2Zt3Lhx\n5OU6OjojS0ZERDAYjPPnz7/zzjsIoZiYGFNT07Vr1/62Zz65wYgdAAAA8GuFhITo6uqSh+Iw\n/MI0JydHqVTiiK+vb1VVlcpKqFSqn5/fuXPn8EeRSOTg4LBs2bJ58+YRifFUolAos2bNQgjd\nuXOnoKAgJiaGfJbH4xUXF1MolMrKSvzKEscXLVp08+bNcQsihJKTk1taWsi7wfb19VGpVOKj\nnp5eQ0ODystVlqyoqNDR0cG9OoRQREQE9OpGM+E6dngE8doITU1N6m4aAACAKSE4OJg8xw7v\n04VNmzYtNTU1ISGhrq6OfImWllZycnJ6erqZmVlQUNDJkyd7enqIJHYjmZubS6VSfCwWi/38\n/BBC3t7ewzLY9fX14QzJcrn81KlTV69eXbVqFUKorq7OyMjI1PTHgXmc/VihULBYLCqV2t7e\nbmhoSFRCp9Pb29vHLajy9y5btuzatWsSieTRo0eFhYWZmZn3799XebnKkm1tbXQ6/eOPP37j\njTfodPqOHTuI/WfBMBOuY9fT0zM0NGQ3AiSbBgAAMD6GzbE7fvw4+ay9vf369euJNRMEgUDQ\n1NQUExPT09MTFBRkYmKSmpo62ldoaGjgg/Ly8tbWVldX16dPn7q5ud28ebO+vp4oFh0djTMk\nMxgMvBHt22+/jRDq6uqi0WhEsZCQECKXcmpq6tDQEFE/NjAwMG5Blb+XzWZnZmaGhYXRaLQ9\ne/bgBM4qL1dZsrOzs6amxsDAQCqVFhcXZ2dnJyUlqb6zU96E69h5enoOqdLa2qrupgEAAJgS\naDSaMQl5ZwgsLi7u9u3bxDoGhJBUKj158qShoWFAQMDx48flcnlCQsKWLVt++OEHlV8hlUrN\nzc0RQiKRSKlUMhgMHR2d9957DyFEHrSLi4vD/wg+e/asvLz8wIEDV65cQQixWCyZTPb48WNc\nLC0tDRdzcXFBCBkbG5P3qFUoFAwGY9yCo93VVatWSaXS/v7+S5cu6ejovPnmm6NdPrKkoaGh\nsbFxZGTk9OnTFyxYsGnTptzc3NG+aIqbcB07AAAAYIKbMWNGYmLizp078SJQhFBHRwefz3/4\n8CH+qKmpuWbNmoGBAXLHhdDf3y8SiZydnQcHB0+cOHHkyBFiFEMoFKrcT4xCoSxcuNDW1ray\nshIhZGNjM3v27ISE55bjtLW1lZWVIYQWLFjQ3Nzc0dGB4xUVFRwOZ9yCKu9YY2Ojn5/fkydP\nKBQKQig/P9/Z2Vnl5SpLWllZKZVKIn2MUqnU1Z0kSW3HHHTsAAAAgOfgKWtkRJeCsHr1ai6X\nS6x1sLW1tba29vDwKC0tbW1tvX79ukAgsLGxsba2JtfZ3t5+6dIlHo+nr6/P5/NLSko6Ozu9\nvLyIan18fG7dulVTo3oxuK6urkwmQwhRqdSUlJTY2Njg4ODLly/LZLKcnBw3NzdjY2OEkJmZ\nmaOjo1Ao7O3tlUgkVVVV/v7+4xZU2XImk1lSUhIREdHS0hIWFkahUJydnVVerrKkra2tqanp\n9u3b7927d+nSpYMHDw5LKAgI0LEDAAAAnhMREUF/Hk6lNsyhQ4e0tbXxsZaWVm5uLovFWrt2\nraWlJZ4ZdubMGWL9RFhYGJ1ONzY2xn2XsrIybW1tsVjs7OxMftVrY2NjZWWlctAOIcRms7Oz\ns3FGMBcXl/Ly8qamJi8vr4ULF6anp2dkZMTExOBFpiKRSC6XM5nM+Pj4vLw8Op0+nsGRqFTq\nqVOnCgoKOBxOdXV1UVGRlpaWystHK/n11183NDTMnz+fz+f/7W9/W7NmzW95tFPAhMtj94sg\nj91EBHnsJh7IYzcBQR67iWhEHjsAXmlqGLHr7u5uaWkZ/+8FAAAAAJjctMb/K6dNm/b999//\n5pHCp48nyf8U8/PVcPN/J07LJkk+ofedlepuwtjZc0/dLRgbxnVn1d2EsTPLTN0tGCMzjNTd\nAgCAamoYsTt+/Pjp06eHpa4BAAAAAAAvCRZPAAAAAD/jcrkazzMy+nGEUkNDY9hizK1btxKZ\nivv6+kJDQ+fOnaunp8dms+Pj44m1tBwOh6jNzMxMIBB0d3eT64mJidHQ0EhMTCQHlyxZQlxF\noVCYTGZ4eDj5fVdbW5tAIGCxWDQazc7OLiMjgzirUCg8PT0NDAzs7OxKS0vHOYhlZWVt3LgR\nHx85ckTlXa2urnZwcKDRaBYWFvv27cPtv3z58uLFi2k0GpfLzcvLwzWoDIKRoGMHAAAAPGfY\nzhO1tbXEKZFIlJ+fr/KqwMDAixcvSiSS5ubmpKSk1NRU8paysbGxcrm8tbX16NGjTU1N9vb2\n/f395GpNTU3FYvGwOsPDw3EbZDLZ/v37ExISiKzItbW1XC63t7c3JSXl2rVrQUFBu3btioyM\nxGf9/Py0tbVv3LjB5/N5PB7OtzduwQcPHmRlZQmFQuKHrFixooZEIBB88MEHSqVyxYoVOHdd\nRkbGgQMH0tLS5HK5i4uLj49PU1NTRESEj49PY2OjyuBvfbyTnBpWxSKESkpKli5d+ttWxd77\n/sFYNE39Qr1pv1zoFTFp5ti98eZv+TM5Mbnu0Vd3E8aIJFPdLRg7j3vV3YIxMpnm2C3567AA\nl8vl8/nbtm0bWVZDQ2PdunXffvttTU2Njo4OQmjr1q0DAwMpKSlKpVJfX7+wsHDx4sW4sFgs\njo6Oxp1CDocTFBS0efNmfOrp06cWFhafffbZhx9+iBCqqqqytbU9e/ask5NTU1OThYXFj01b\nssTNze2TTz4hGuDu7j5z5swjR44ghJYvX25sbJyZ+fNfkLy8PC8vL7lc3tPTY2Fh0dLSglOf\n/PGPf1y/fr2bm9v4BDdv3rx58+bTp093d3f7+vqmpaUNu40//PCDq6vrt99+W19f/95773V1\ndeGbGRkZWV5evnLlykOHDl27dg0XDggImDVrlrm5+chgTEzMf/CgpwwYsQMAAAB+rZCQEF1d\nXfJQHIZfL+bk5CiVP67B8vX1raqqUlkJlUr18/M7d+4c/igSiRwcHJYtWzZv3jwi47FKFApl\n1qxZCKE7d+4UFBQM69nweLzi4mIKhVJZWTlnzhzc2UIILVq06ObNm+MWRAglJye3tLRs2LBB\n5a8ICwuLjIzU09Oj0WgHDx7EvTqEkEKh0NTU7Ovro1KpRGE9Pb2GhgaVwRfcqKlsgnbs3n//\nfT6fH0jy6aeQaggAAMB4CA4OJs8G4/F4xKlp06alpqYmJCTU1dWRL9HS0kpOTk5PTzczMwsK\nCjp58mRPTw+RnXgkc3NzqVSKj8VisZ+fH0LI29t7WGrivr4+vPWFXC4/derU1atXV61ahRCq\nq6szMjIyNf0xXSXe1kKhULBYLCqV2t7ebmhoSFRCp9Pb29vHLfjCW4sqKipu3brl4eGBELK0\ntCQ6fxcuXDh27NiGDRuWLVt27do1iUTy6NGjwsLCzMzM+/fvqwy++IumrInYsRsYGCgtLf3u\nu++6SPr6+tTdLgAAAFPCsDl2x48fJ5+1t7dfv349sWaCIBAImpqaYmJienp6goKCTExMUlNT\nR/sKIjVEeXl5a2urq6vr06dP3dzcbt68WV9fTxSLjo7GW18wGAxvb++AgIC3334bIdTV1UWj\n/TyfJyQkhNgkIzU1dWhoaFjqiYGBgXELjvaTsd27d+/YsYMcefTo0Y4dO1xdXVNSUjw9Pdls\ndmZmZlhYGI1G27NnD97DQ2XwxV80ZU3Ejh0WFRV1guTzzz9Xd4sAAABMCTQazZiEvOUXFhcX\nd/v2bWIdA0JIKpWePHnS0NAwICDg+PHjcrk8ISFhy5YtP/zwg8qvkEql5ubmCCGRSKRUKhkM\nho6OznvvvYcQIg/axcXFDQ0NDQ0NPXv2rLy8/MCBA1euXEEIsVgsmUz2+PFjXCwtLQ0Xc3Fx\nQQgZGxsrFAqiEoVCwWAwxi34ghurUCgqKirwcB3W0NBga2t7/fr1iooKYsXxqlWrpFJpf3//\npUuXdHR03nzzzdGCYKSJ27EDAAAAJqYZM2YkJibu3LmTeCHY0dHB5/MfPnyIP2pqaq5Zs2Zg\nYIDc7yH09/eLRCJnZ+fBwcETJ04cOXJk6CdCoVDlRrEUCmXhwoW2traVlZUIIRsbm9mzZyck\nPLdJXVtbW1lZGUJowYIFzc3NHR0dOF5RUcHhcMYt+IL7dvr0aR6Pp6urS9wHV1dXFxeXoqKi\nt956CwcbGxv9/PyePHlCoVAQQvn5+c7OziqDL/iiqQw6dgAAAMBz8JQ1MiIjHWH16tVcLpdY\n62Bra2ttbe3h4VFaWtra2nr9+nWBQGBjY2NtbU2us729/dKlSzweT19fn8/nl5SUdHZ2enl5\nEdX6+PjcunWrpkb1Fsm6uroymQwhRKVSU1JSYmNjg4ODL1++LJPJcnJy3NzcjI2NEUJmZmaO\njo5CobC3t1cikVRVVfn7+49b8AU3Njs7+/333yc+5ubm3r9/f8OGDQ0NDfX19fX19S0tLUwm\ns6SkJCIioqWlJSwsjEKhODs7qwz+x891aoCOHQAAAPCciIgI+vNUZk07dOiQtrY2PtbS0srN\nzWWxWGvXrrW0tMSTwM6cOUOsnwgLC6PT6cbGxv7+/kwms6ysTFtbWywWOzs7k1/12tjYWFlZ\nqRy0Qwix2ezs7GycLMzFxaW8vLypqcnLy2vhwoXp6ekZGRkxMTF4japIJJLL5UwmMz4+Pi8v\nj06nj2dQpb6+vvz8fHt7eyJSXV3d3d3N4XBYPxEIBFQq9dSpUwUFBRwOp7q6uqioSEtLS2Xw\nP3mkU8hEzGM3MDAwbdq00tJSIhsQGeSxm4Agj90EBHnsJiLIYzcBjchjB8ArTf0d3vfff7+t\nrW369OlEBPc1b9++rbJjBwAAAAAAVFJ/x66np8fc3Hzp0qVEZHBw8Pr16zgH40ia2r/jEON4\n6nui7haMHfO3h88+eUV9e2aaupswZlwXs9XdhDHSP4n+qjyeLGmbftO+QQCAcaD+jt306dMX\nL15M3jJlYGBAKBSSM/QAAAAAAIBfBIsnAAAAgJ9xuVyN5xkZ/TinUENDg8i1hm3dupXIVNzX\n1xcaGjp37lw9PT02mx0fH0+speVwOERtZmZmAoGgu7ubXE9MTIyGhkZiYiI5uGTJEuIqCoXC\nZDLDw8PJM+Pb2toEAgGLxaLRaHZ2dhkZGcRZhULh6elpYGBgZ2dXWlo6zkEsKytr48aNw26v\nyiBC6IMPPti9ezc+HhwcDA0NxZuVEfekurrawcGBRqNZWFjs27fvd10h8EqDjh0AAADwnGE7\nT9TW1hKnRCJRfn6+yqsCAwMvXrwokUiam5uTkpJSU1PJW8rGxsbK5fLW1tajR482NTXZ29v3\n9/eTqzU1NRWLxcPqDA8Px22QyWT79+9PSEggsiLX1tZyudze3t6UlJRr164FBQXt2rUrMjIS\nn/Xz89PW1r5x4wafz+fxeDjf3rgFHzx4kJWVJRQKyb9FZRDLzc0lb5IrFAovXrx49uzZ5OTk\nsLCw8+fPK5XKFStWcDicxsbGjIyMAwcOpKWlvfghTlnqfxULAAAATCh45wmVp9atW/fRRx/V\n1NQQW9djSqUyKyursLDQzs4OIbR8+fK9e/dGR0cTG50TdZqYmCxatMjCwuLYsWMffvghQqiq\nqqq+vv7s2bNOTk537961sLAgqtXX1yda4uvr+9VXX5WWlvL5fIRQSEiIk5NTZuaPy8atrKxM\nTEy8vLy2bdvW09NTWFjY0tJiYmKyZcuWL7/8UiKRuLm5jU9w8+bNQqHw9OnTw0YlVQYRQr29\nvVu3bmWxWPjjkydPUlNTz58/z2az2Wz2p59+2tLSUl1d/f3338fHx+vo6MycOXPz5s3Z2dn4\n7oFhYMQOAAAA+LVCQkJ0dXXJQ3EYfmGak5OjVCpxxNfXt6qqSmUlVCrVz8/v3Llz+KNIJHJw\ncFi2bNm8efPIA1cjUSgUvLLwzp07BQUFMTEx5LM8Hq+4uJhCoVRWVuL3mDi+aNGimzdvjlsQ\nIZScnNzS0rJhwwZy81QGEUJCodDDw8PGxgZ/rKio0NHReeedd/DHiIiItWvX0mi0gwcPEp1p\nhUJBJAgEw0zEjh3eUZg8t0BDQ2POnDnqbhcAAIApITg4mPwPEI/HI05NmzYtNTU1ISGhrq6O\nfImWllZycnJ6erqZmVlQUNDJkyd7enpe0PkwNzeXSqX4WCwW+/lJxZDEAAAgAElEQVT5IYS8\nvb2HpSbu6+vDW1/I5fJTp05dvXp11apVCKG6ujojIyNTU1NcDG9roVAoWCwWlUptb283NDQk\nKqHT6e3t7eMWfOGtHe7y5cunT58m91Db2trodPrHH3/8xhtv0On0HTt2DAwMWFpaEj3CCxcu\nHDt2bGQHEWATsWOnqan5f//3f/n5+QUk33zzjbrbBQAAYEoYNsfu+PHj5LP29vbr168n1kwQ\nBAJBU1NTTExMT09PUFCQiYlJamrqaF+BhzAQQuXl5a2tra6urk+fPnVzc7t582Z9fT1RLDo6\nGm99wWAwvL29AwIC3n77bYRQV1cXOXdESEgIsUlGamrq0NAQUT82MDAwbsHRfvJISqVy48aN\n//jHP15//XUi2NnZWVNTY2BgIJVKi4uLs7Ozk5KS8KlHjx7t2LHD1dU1JSXF09Pz13/RlDLq\nHLvDhw+npaXNnTv3ZWqvqalpaWn5DRf+9a+QChwAAIB6vGCOHRYXF8disYh1DAghqVR6/fp1\n3PcKCAh49uxZWlrali1b3N3diTeVZFKp1NzcHCEkEomUSiWDwSBOSSQSYmZeXFwcTgc2ODh4\n5coVR0dHDw+Pd999l8ViyWSyx48fv/baawihtLQ0vJgADy4aGxsrFAqiQoVCwWAwxi34gvs2\nzIEDB+bMmbN06dK+vj6lUtnf39/X12doaGhsbIxXgSxYsGDTpk25ubk7d+5saGhwd3dnMBgV\nFRVvvfXWr/+WqWbUEbvKysq2tjaDl6Onp6dyN7eenp6hoaHAwMDAwMCqqqrKysrf8zcCAAAA\nY2nGjBmJiYk7d+7Ei0ARQh0dHXw+/+HDh/ijpqbmmjVrBgYGyP0eQn9/v0gkcnZ2HhwcPHHi\nxJEjR4Z+IhQKVW4US6FQFi5caGtri//FtLGxmT17dkJCArlMW1tbWVkZQmjBggXNzc0dHR04\nXlFRweFwxi34629jdXX1N9988/rrr7/++usnT56Mj483MzOzsrJSKpVEphilUqmrq9vf3+/q\n6uri4lJUVAS9uhcbdcSOwWBYWVm9YBj518B7xY6MW1lZsdnsrq4uhNCzZ8+IqaYAAACA2uEp\na+TIjBkzhk2YW7169bFjx06cOIHXZtra2lpbW3t4eERGRlpYWNy7dy8uLs7Gxsba2ppc57N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w3PXp6uoi9xpDQkLS09PxcVJSkq6uLlE/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\nTkSuQmCC",
      "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 top 50 of the genes below padj 0.05 (in no order)\n",
    "Heatmap(filtered_res_counts[1:50,], name = \"Z-Score\", row_names_gp = gpar(fontsize = 8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "environment": {
   "kernel": "ir",
   "name": "r-cpu.4-2.m102",
   "type": "gcloud",
   "uri": "gcr.io/deeplearning-platform-release/r-cpu.4-2:m102"
  },
  "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": "4.2.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}