geomx.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "10908eb0-b853-4f25-8879-aa4b0811ff51",
   "metadata": {},
   "outputs": [],
   "source": [
    "suppressPackageStartupMessages({\n",
    "    library(harmony)\n",
    "    library(uwot)\n",
    "    library(singlecellmethods)\n",
    "    library(sfarrow)\n",
    "    library(geojsonsf)\n",
    "    library(sf)    \n",
    "    library(spatula)\n",
    "    library(purrr)\n",
    "    library(furrr)\n",
    "    library(circlize)\n",
    "    library(ComplexHeatmap)\n",
    "    library(ggrepel)\n",
    "    library(lme4)\n",
    "    library(future)\n",
    "    library(scales)\n",
    "    library(glue)\n",
    "    library(data.table)\n",
    "    library(spatstat)\n",
    "    library(dplyr)\n",
    "    library(data.table)\n",
    "    library(presto)\n",
    "    library(ggplot2)\n",
    "    library(ggthemes)\n",
    "    library(patchwork)\n",
    "    library(Matrix)\n",
    "})\n",
    "\n",
    "fig.size <- function(h, w) {\n",
    "    options(repr.plot.height = h, repr.plot.width = w)\n",
    "}\n",
    "\n",
    "source('utils_plotting.R')\n",
    "source('utils.R')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c05470c9-0d97-4db7-bea2-f5ad1cb0c357",
   "metadata": {},
   "source": [
    "# Data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1cd5b5dc-dc93-4e06-8b39-059e691fb8ff",
   "metadata": {},
   "source": [
    "## geomx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5cbcb2ae-449c-404b-831f-7570516413bf",
   "metadata": {},
   "outputs": [],
   "source": [
    "geomx_df = fread('/n/data1/bwh/medicine/korsunsky/lab/ik97/geomx/genedataChenLab_exp2_for_Ilya.csv')[\n",
    "    ROI_Type %in% c('hybrid hub', 'immunity hub')\n",
    "][\n",
    "    , `:=`(y = log2(q_norm), ROI_Type = factor(ROI_Type, c('immunity hub', 'hybrid hub')))\n",
    "][]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "82e69075-81e5-47a3-a3c6-ea0cc235b329",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.table: 6 × 21</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>V1</th><th scope=col>FeatureName</th><th scope=col>SampleName</th><th scope=col>q_norm</th><th scope=col>Module</th><th scope=col>roi</th><th scope=col>ROI_Type</th><th scope=col>area</th><th scope=col>LOQ.Alpha_GeoMx_TCR_v1.1</th><th scope=col>LOQ.Hs_R_NGS_CTA_v1.0</th><th scope=col>⋯</th><th scope=col>NegGeoMean_Hs_R_NGS_CTA_v1.0</th><th scope=col>NegGeoSD_Hs_R_NGS_CTA_v1.0</th><th scope=col>NegGeoSD_Alpha_GeoMx_TCR_v1.1</th><th scope=col>NegGeoMean_Alpha_GeoMx_TCR_v1.1</th><th scope=col>GenesDetected</th><th scope=col>SegmentDiversity</th><th scope=col>ChainDiversity</th><th scope=col>snr</th><th scope=col>above_LOQ</th><th scope=col>y</th></tr>\n",
       "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;fct&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>⋯</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;int&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;lgl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>1</td><td>ACTA2  </td><td>DSP-1001660013300-A-A02.dcc</td><td>105.04613</td><td>Hs_R_NGS_CTA_v1.0</td><td>1</td><td>hybrid hub</td><td>71238.02</td><td>141.3801</td><td>158.3433</td><td>⋯</td><td>106.7635</td><td>1.217835</td><td>1.176646</td><td>102.1167</td><td>454</td><td>1.318836</td><td>1.260648</td><td>2.2356750</td><td> TRUE</td><td>6.714879</td></tr>\n",
       "\t<tr><td>2</td><td>FOXA2  </td><td>DSP-1001660013300-A-A02.dcc</td><td> 44.07959</td><td>Hs_R_NGS_CTA_v1.0</td><td>1</td><td>hybrid hub</td><td>71238.02</td><td>141.3801</td><td>158.3433</td><td>⋯</td><td>106.7635</td><td>1.217835</td><td>1.176646</td><td>102.1167</td><td>454</td><td>1.318836</td><td>1.260648</td><td>0.9381367</td><td>FALSE</td><td>5.462039</td></tr>\n",
       "\t<tr><td>3</td><td>NANOG  </td><td>DSP-1001660013300-A-A02.dcc</td><td> 55.11807</td><td>Hs_R_NGS_CTA_v1.0</td><td>1</td><td>hybrid hub</td><td>71238.02</td><td>141.3801</td><td>158.3433</td><td>⋯</td><td>106.7635</td><td>1.217835</td><td>1.176646</td><td>102.1167</td><td>454</td><td>1.318836</td><td>1.260648</td><td>1.1730664</td><td>FALSE</td><td>5.784453</td></tr>\n",
       "\t<tr><td>4</td><td>TRAC   </td><td>DSP-1001660013300-A-A02.dcc</td><td>159.54229</td><td>Hs_R_NGS_CTA_v1.0</td><td>1</td><td>hybrid hub</td><td>71238.02</td><td>141.3801</td><td>158.3433</td><td>⋯</td><td>106.7635</td><td>1.217835</td><td>1.176646</td><td>102.1167</td><td>454</td><td>1.318836</td><td>1.260648</td><td>3.3955057</td><td> TRUE</td><td>7.317795</td></tr>\n",
       "\t<tr><td>5</td><td>TRBC1/2</td><td>DSP-1001660013300-A-A02.dcc</td><td>256.22807</td><td>Hs_R_NGS_CTA_v1.0</td><td>1</td><td>hybrid hub</td><td>71238.02</td><td>141.3801</td><td>158.3433</td><td>⋯</td><td>106.7635</td><td>1.217835</td><td>1.176646</td><td>102.1167</td><td>454</td><td>1.318836</td><td>1.260648</td><td>5.4532491</td><td> TRUE</td><td>8.001285</td></tr>\n",
       "\t<tr><td>6</td><td>TRDC   </td><td>DSP-1001660013300-A-A02.dcc</td><td> 47.39308</td><td>Hs_R_NGS_CTA_v1.0</td><td>1</td><td>hybrid hub</td><td>71238.02</td><td>141.3801</td><td>158.3433</td><td>⋯</td><td>106.7635</td><td>1.217835</td><td>1.176646</td><td>102.1167</td><td>454</td><td>1.318836</td><td>1.260648</td><td>1.0086572</td><td>FALSE</td><td>5.566605</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.table: 6 × 21\n",
       "\\begin{tabular}{lllllllllllllllllllll}\n",
       " V1 & FeatureName & SampleName & q\\_norm & Module & roi & ROI\\_Type & area & LOQ.Alpha\\_GeoMx\\_TCR\\_v1.1 & LOQ.Hs\\_R\\_NGS\\_CTA\\_v1.0 & ⋯ & NegGeoMean\\_Hs\\_R\\_NGS\\_CTA\\_v1.0 & NegGeoSD\\_Hs\\_R\\_NGS\\_CTA\\_v1.0 & NegGeoSD\\_Alpha\\_GeoMx\\_TCR\\_v1.1 & NegGeoMean\\_Alpha\\_GeoMx\\_TCR\\_v1.1 & GenesDetected & SegmentDiversity & ChainDiversity & snr & above\\_LOQ & y\\\\\n",
       " <int> & <chr> & <chr> & <dbl> & <chr> & <int> & <fct> & <dbl> & <dbl> & <dbl> & ⋯ & <dbl> & <dbl> & <dbl> & <dbl> & <int> & <dbl> & <dbl> & <dbl> & <lgl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 1 & ACTA2   & DSP-1001660013300-A-A02.dcc & 105.04613 & Hs\\_R\\_NGS\\_CTA\\_v1.0 & 1 & hybrid hub & 71238.02 & 141.3801 & 158.3433 & ⋯ & 106.7635 & 1.217835 & 1.176646 & 102.1167 & 454 & 1.318836 & 1.260648 & 2.2356750 &  TRUE & 6.714879\\\\\n",
       "\t 2 & FOXA2   & DSP-1001660013300-A-A02.dcc &  44.07959 & Hs\\_R\\_NGS\\_CTA\\_v1.0 & 1 & hybrid hub & 71238.02 & 141.3801 & 158.3433 & ⋯ & 106.7635 & 1.217835 & 1.176646 & 102.1167 & 454 & 1.318836 & 1.260648 & 0.9381367 & FALSE & 5.462039\\\\\n",
       "\t 3 & NANOG   & DSP-1001660013300-A-A02.dcc &  55.11807 & Hs\\_R\\_NGS\\_CTA\\_v1.0 & 1 & hybrid hub & 71238.02 & 141.3801 & 158.3433 & ⋯ & 106.7635 & 1.217835 & 1.176646 & 102.1167 & 454 & 1.318836 & 1.260648 & 1.1730664 & FALSE & 5.784453\\\\\n",
       "\t 4 & TRAC    & DSP-1001660013300-A-A02.dcc & 159.54229 & Hs\\_R\\_NGS\\_CTA\\_v1.0 & 1 & hybrid hub & 71238.02 & 141.3801 & 158.3433 & ⋯ & 106.7635 & 1.217835 & 1.176646 & 102.1167 & 454 & 1.318836 & 1.260648 & 3.3955057 &  TRUE & 7.317795\\\\\n",
       "\t 5 & TRBC1/2 & DSP-1001660013300-A-A02.dcc & 256.22807 & Hs\\_R\\_NGS\\_CTA\\_v1.0 & 1 & hybrid hub & 71238.02 & 141.3801 & 158.3433 & ⋯ & 106.7635 & 1.217835 & 1.176646 & 102.1167 & 454 & 1.318836 & 1.260648 & 5.4532491 &  TRUE & 8.001285\\\\\n",
       "\t 6 & TRDC    & DSP-1001660013300-A-A02.dcc &  47.39308 & Hs\\_R\\_NGS\\_CTA\\_v1.0 & 1 & hybrid hub & 71238.02 & 141.3801 & 158.3433 & ⋯ & 106.7635 & 1.217835 & 1.176646 & 102.1167 & 454 & 1.318836 & 1.260648 & 1.0086572 & FALSE & 5.566605\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.table: 6 × 21\n",
       "\n",
       "| V1 &lt;int&gt; | FeatureName &lt;chr&gt; | SampleName &lt;chr&gt; | q_norm &lt;dbl&gt; | Module &lt;chr&gt; | roi &lt;int&gt; | ROI_Type &lt;fct&gt; | area &lt;dbl&gt; | LOQ.Alpha_GeoMx_TCR_v1.1 &lt;dbl&gt; | LOQ.Hs_R_NGS_CTA_v1.0 &lt;dbl&gt; | ⋯ ⋯ | NegGeoMean_Hs_R_NGS_CTA_v1.0 &lt;dbl&gt; | NegGeoSD_Hs_R_NGS_CTA_v1.0 &lt;dbl&gt; | NegGeoSD_Alpha_GeoMx_TCR_v1.1 &lt;dbl&gt; | NegGeoMean_Alpha_GeoMx_TCR_v1.1 &lt;dbl&gt; | GenesDetected &lt;int&gt; | SegmentDiversity &lt;dbl&gt; | ChainDiversity &lt;dbl&gt; | snr &lt;dbl&gt; | above_LOQ &lt;lgl&gt; | y &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | ACTA2   | DSP-1001660013300-A-A02.dcc | 105.04613 | Hs_R_NGS_CTA_v1.0 | 1 | hybrid hub | 71238.02 | 141.3801 | 158.3433 | ⋯ | 106.7635 | 1.217835 | 1.176646 | 102.1167 | 454 | 1.318836 | 1.260648 | 2.2356750 |  TRUE | 6.714879 |\n",
       "| 2 | FOXA2   | DSP-1001660013300-A-A02.dcc |  44.07959 | Hs_R_NGS_CTA_v1.0 | 1 | hybrid hub | 71238.02 | 141.3801 | 158.3433 | ⋯ | 106.7635 | 1.217835 | 1.176646 | 102.1167 | 454 | 1.318836 | 1.260648 | 0.9381367 | FALSE | 5.462039 |\n",
       "| 3 | NANOG   | DSP-1001660013300-A-A02.dcc |  55.11807 | Hs_R_NGS_CTA_v1.0 | 1 | hybrid hub | 71238.02 | 141.3801 | 158.3433 | ⋯ | 106.7635 | 1.217835 | 1.176646 | 102.1167 | 454 | 1.318836 | 1.260648 | 1.1730664 | FALSE | 5.784453 |\n",
       "| 4 | TRAC    | DSP-1001660013300-A-A02.dcc | 159.54229 | Hs_R_NGS_CTA_v1.0 | 1 | hybrid hub | 71238.02 | 141.3801 | 158.3433 | ⋯ | 106.7635 | 1.217835 | 1.176646 | 102.1167 | 454 | 1.318836 | 1.260648 | 3.3955057 |  TRUE | 7.317795 |\n",
       "| 5 | TRBC1/2 | DSP-1001660013300-A-A02.dcc | 256.22807 | Hs_R_NGS_CTA_v1.0 | 1 | hybrid hub | 71238.02 | 141.3801 | 158.3433 | ⋯ | 106.7635 | 1.217835 | 1.176646 | 102.1167 | 454 | 1.318836 | 1.260648 | 5.4532491 |  TRUE | 8.001285 |\n",
       "| 6 | TRDC    | DSP-1001660013300-A-A02.dcc |  47.39308 | Hs_R_NGS_CTA_v1.0 | 1 | hybrid hub | 71238.02 | 141.3801 | 158.3433 | ⋯ | 106.7635 | 1.217835 | 1.176646 | 102.1167 | 454 | 1.318836 | 1.260648 | 1.0086572 | FALSE | 5.566605 |\n",
       "\n"
      ],
      "text/plain": [
       "  V1 FeatureName SampleName                  q_norm    Module            roi\n",
       "1 1  ACTA2       DSP-1001660013300-A-A02.dcc 105.04613 Hs_R_NGS_CTA_v1.0 1  \n",
       "2 2  FOXA2       DSP-1001660013300-A-A02.dcc  44.07959 Hs_R_NGS_CTA_v1.0 1  \n",
       "3 3  NANOG       DSP-1001660013300-A-A02.dcc  55.11807 Hs_R_NGS_CTA_v1.0 1  \n",
       "4 4  TRAC        DSP-1001660013300-A-A02.dcc 159.54229 Hs_R_NGS_CTA_v1.0 1  \n",
       "5 5  TRBC1/2     DSP-1001660013300-A-A02.dcc 256.22807 Hs_R_NGS_CTA_v1.0 1  \n",
       "6 6  TRDC        DSP-1001660013300-A-A02.dcc  47.39308 Hs_R_NGS_CTA_v1.0 1  \n",
       "  ROI_Type   area     LOQ.Alpha_GeoMx_TCR_v1.1 LOQ.Hs_R_NGS_CTA_v1.0 ⋯\n",
       "1 hybrid hub 71238.02 141.3801                 158.3433              ⋯\n",
       "2 hybrid hub 71238.02 141.3801                 158.3433              ⋯\n",
       "3 hybrid hub 71238.02 141.3801                 158.3433              ⋯\n",
       "4 hybrid hub 71238.02 141.3801                 158.3433              ⋯\n",
       "5 hybrid hub 71238.02 141.3801                 158.3433              ⋯\n",
       "6 hybrid hub 71238.02 141.3801                 158.3433              ⋯\n",
       "  NegGeoMean_Hs_R_NGS_CTA_v1.0 NegGeoSD_Hs_R_NGS_CTA_v1.0\n",
       "1 106.7635                     1.217835                  \n",
       "2 106.7635                     1.217835                  \n",
       "3 106.7635                     1.217835                  \n",
       "4 106.7635                     1.217835                  \n",
       "5 106.7635                     1.217835                  \n",
       "6 106.7635                     1.217835                  \n",
       "  NegGeoSD_Alpha_GeoMx_TCR_v1.1 NegGeoMean_Alpha_GeoMx_TCR_v1.1 GenesDetected\n",
       "1 1.176646                      102.1167                        454          \n",
       "2 1.176646                      102.1167                        454          \n",
       "3 1.176646                      102.1167                        454          \n",
       "4 1.176646                      102.1167                        454          \n",
       "5 1.176646                      102.1167                        454          \n",
       "6 1.176646                      102.1167                        454          \n",
       "  SegmentDiversity ChainDiversity snr       above_LOQ y       \n",
       "1 1.318836         1.260648       2.2356750  TRUE     6.714879\n",
       "2 1.318836         1.260648       0.9381367 FALSE     5.462039\n",
       "3 1.318836         1.260648       1.1730664 FALSE     5.784453\n",
       "4 1.318836         1.260648       3.3955057  TRUE     7.317795\n",
       "5 1.318836         1.260648       5.4532491  TRUE     8.001285\n",
       "6 1.318836         1.260648       1.0086572 FALSE     5.566605"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(geomx_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f88e6887-20df-4306-93b9-253edf4c398c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ptUdJAVSXOf1Wwbr1vE6n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Hhjf5WgJIbVQMfNdx4GO5IAmDGTgNIBaB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\ngg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 300,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig.size(5, 10)\n",
    "plt_df <- geomx_df[\n",
    "    FeatureName %in% c('ACTA2', 'LYZ', 'CCL19', 'SPP1') \n",
    "]\n",
    "\n",
    "ggplot(plt_df, aes(ROI_Type, q_norm, color = Slide_ID)) + \n",
    "    geom_jitter(height = 0, width = .2, size = .2) + \n",
    "    geom_point(\n",
    "        data = plt_df[, .(q_norm = mean(q_norm)), by = .(ROI_Type, Slide_ID, FeatureName)], \n",
    "        size = 3, alpha = .8\n",
    "    ) + \n",
    "    # geom_jitter(height = 0, width = .2) + \n",
    "    geom_line(\n",
    "        data = plt_df[, .(q_norm = mean(q_norm)), by = .(ROI_Type, Slide_ID, FeatureName)], \n",
    "        aes(group = Slide_ID)\n",
    "    ) + \n",
    "    scale_y_log10() + \n",
    "    facet_wrap(~FeatureName, nrow = 1, scales = 'free_y') + \n",
    "    scale_color_tableau() + \n",
    "    NULL\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "bee3ede2-2340-401f-bc99-9738bd8b62ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "geomx_fc = fread('/n/data1/bwh/medicine/korsunsky/lab/ik97/geomx/allsamples_immunityhub_vs_hybridhub_20221126.csv') %>% \n",
    "    subset(!is.na(FC))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "877f7b3b-9ad5-4d56-916d-cec8c6c6dd68",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "FALSE  TRUE \n",
       "  353   719 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(geomx_fc$FDR < .05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eed4d6cc-6d41-40a1-b87e-9de90f2fc533",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "83b380f6-4d6e-4630-95ae-8f5c92e6a8eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.table: 1072 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>Gene</th><th scope=col>p_value</th><th scope=col>FC</th><th scope=col>Significance</th><th scope=col>FDR</th><th scope=col>pi</th></tr>\n",
       "\t<tr><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></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>CCL19  </td><td>1.339584e-36</td><td>1.2768340</td><td>35.87303</td><td>1.436034e-33</td><td>45.803905</td></tr>\n",
       "\t<tr><td>CXCR4  </td><td>2.170281e-27</td><td>0.8557776</td><td>26.66348</td><td>1.163271e-24</td><td>22.818011</td></tr>\n",
       "\t<tr><td>JAK3   </td><td>1.206008e-25</td><td>0.3668510</td><td>24.91865</td><td>4.309467e-23</td><td> 9.141432</td></tr>\n",
       "\t<tr><td>LTB    </td><td>1.402994e-23</td><td>0.5048155</td><td>22.85294</td><td>3.760025e-21</td><td>11.536521</td></tr>\n",
       "\t<tr><td>CYFIP2 </td><td>3.858102e-23</td><td>0.3102730</td><td>22.41363</td><td>8.271772e-21</td><td> 6.954343</td></tr>\n",
       "\t<tr><td>ZAP70  </td><td>3.909629e-22</td><td>0.3635887</td><td>21.40786</td><td>6.985204e-20</td><td> 7.783658</td></tr>\n",
       "\t<tr><td>TRBC1/2</td><td>8.642634e-22</td><td>0.7055848</td><td>21.06335</td><td>1.323558e-19</td><td>14.861983</td></tr>\n",
       "\t<tr><td>CDKN1B </td><td>1.577957e-21</td><td>0.3141276</td><td>20.80190</td><td>2.114462e-19</td><td> 6.534452</td></tr>\n",
       "\t<tr><td>CCND2  </td><td>7.859007e-21</td><td>0.2745061</td><td>20.10463</td><td>8.518577e-19</td><td> 5.518845</td></tr>\n",
       "\t<tr><td>IL2RG  </td><td>7.946434e-21</td><td>0.3443252</td><td>20.09983</td><td>8.518577e-19</td><td> 6.920877</td></tr>\n",
       "\t<tr><td>PLCG2  </td><td>2.315947e-20</td><td>0.3292180</td><td>19.63527</td><td>2.256996e-18</td><td> 6.464284</td></tr>\n",
       "\t<tr><td>TXNIP  </td><td>3.350741e-20</td><td>0.6666177</td><td>19.47486</td><td>2.692951e-18</td><td>12.982285</td></tr>\n",
       "\t<tr><td>IRF3   </td><td>3.516913e-20</td><td>0.1885319</td><td>19.45384</td><td>2.692951e-18</td><td> 3.667670</td></tr>\n",
       "\t<tr><td>CD6_CTL</td><td>6.370613e-20</td><td>0.3867666</td><td>19.19582</td><td>4.552865e-18</td><td> 7.424301</td></tr>\n",
       "\t<tr><td>FYN    </td><td>7.047508e-20</td><td>0.3004356</td><td>19.15196</td><td>4.721830e-18</td><td> 5.753933</td></tr>\n",
       "\t<tr><td>WIPF1  </td><td>1.121884e-19</td><td>0.3358534</td><td>18.95005</td><td>6.945071e-18</td><td> 6.364439</td></tr>\n",
       "\t<tr><td>CCR7   </td><td>1.198486e-19</td><td>0.4736773</td><td>18.92137</td><td>6.945071e-18</td><td> 8.962623</td></tr>\n",
       "\t<tr><td>CD37   </td><td>1.230936e-19</td><td>0.5065201</td><td>18.90976</td><td>6.945071e-18</td><td> 9.578175</td></tr>\n",
       "\t<tr><td>CD79A  </td><td>1.541121e-19</td><td>0.5763518</td><td>18.81216</td><td>8.260408e-18</td><td>10.842424</td></tr>\n",
       "\t<tr><td>BCL2   </td><td>1.733608e-19</td><td>0.3238016</td><td>18.76105</td><td>8.849658e-18</td><td> 6.074859</td></tr>\n",
       "\t<tr><td>TRAC   </td><td>1.927395e-19</td><td>0.5198198</td><td>18.71503</td><td>9.154515e-18</td><td> 9.728442</td></tr>\n",
       "\t<tr><td>CD6    </td><td>1.964122e-19</td><td>0.3414348</td><td>18.70683</td><td>9.154515e-18</td><td> 6.387164</td></tr>\n",
       "\t<tr><td>IL7R   </td><td>2.862256e-19</td><td>0.5402077</td><td>18.54329</td><td>1.227335e-17</td><td>10.017228</td></tr>\n",
       "\t<tr><td>CD3E   </td><td>3.602690e-19</td><td>0.3534035</td><td>18.44337</td><td>1.485417e-17</td><td> 6.517954</td></tr>\n",
       "\t<tr><td>SELL   </td><td>3.768962e-19</td><td>0.4092819</td><td>18.42378</td><td>1.496417e-17</td><td> 7.540518</td></tr>\n",
       "\t<tr><td>ITGA4  </td><td>6.323625e-19</td><td>0.2118246</td><td>18.19903</td><td>2.337561e-17</td><td> 3.855003</td></tr>\n",
       "\t<tr><td>CD48   </td><td>7.511810e-19</td><td>0.3265014</td><td>18.12426</td><td>2.684220e-17</td><td> 5.917595</td></tr>\n",
       "\t<tr><td>TCF7   </td><td>9.088639e-19</td><td>0.3660646</td><td>18.04150</td><td>3.142910e-17</td><td> 6.604355</td></tr>\n",
       "\t<tr><td>INPP5D </td><td>9.519924e-19</td><td>0.3133947</td><td>18.02137</td><td>3.189175e-17</td><td> 5.647800</td></tr>\n",
       "\t<tr><td>PTPRC  </td><td>1.299082e-18</td><td>0.4250687</td><td>17.88636</td><td>4.220048e-17</td><td> 7.602934</td></tr>\n",
       "\t<tr><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><td>ITGAV    </td><td>5.429861e-14</td><td>-0.3648445</td><td>13.26521</td><td>6.168145e-13</td><td> -4.839739</td></tr>\n",
       "\t<tr><td>KRT19    </td><td>4.536395e-14</td><td>-0.9063173</td><td>13.34329</td><td>5.229049e-13</td><td>-12.093253</td></tr>\n",
       "\t<tr><td>VEGFA    </td><td>4.133983e-14</td><td>-0.5476598</td><td>13.38363</td><td>4.816989e-13</td><td> -7.329677</td></tr>\n",
       "\t<tr><td>GNG12    </td><td>3.316831e-14</td><td>-0.2118568</td><td>13.47928</td><td>3.995104e-13</td><td> -2.855676</td></tr>\n",
       "\t<tr><td>PIK3R2   </td><td>3.031656e-14</td><td>-0.1806889</td><td>13.51832</td><td>3.693109e-13</td><td> -2.442610</td></tr>\n",
       "\t<tr><td>PDGFC    </td><td>2.625467e-14</td><td>-0.1742960</td><td>13.58079</td><td>3.235059e-13</td><td> -2.367078</td></tr>\n",
       "\t<tr><td>CEBPB    </td><td>1.304065e-14</td><td>-0.2991389</td><td>13.88470</td><td>1.664235e-13</td><td> -4.153454</td></tr>\n",
       "\t<tr><td>GNA11    </td><td>8.948071e-15</td><td>-0.1525199</td><td>14.04827</td><td>1.178334e-13</td><td> -2.142641</td></tr>\n",
       "\t<tr><td>NT5E     </td><td>8.714433e-15</td><td>-0.1943460</td><td>14.05976</td><td>1.167734e-13</td><td> -2.732458</td></tr>\n",
       "\t<tr><td>CCL8     </td><td>5.846921e-15</td><td>-0.4355368</td><td>14.23307</td><td>8.035769e-14</td><td> -6.199027</td></tr>\n",
       "\t<tr><td>KLF4     </td><td>3.921852e-15</td><td>-0.2895985</td><td>14.40651</td><td>5.460033e-14</td><td> -4.172103</td></tr>\n",
       "\t<tr><td>LAMC2    </td><td>3.540717e-15</td><td>-0.6735277</td><td>14.45091</td><td>5.060865e-14</td><td> -9.733087</td></tr>\n",
       "\t<tr><td>LAMA3    </td><td>2.575118e-15</td><td>-0.3101575</td><td>14.58920</td><td>3.730441e-14</td><td> -4.524951</td></tr>\n",
       "\t<tr><td>FLNC     </td><td>1.987091e-15</td><td>-0.4750493</td><td>14.70178</td><td>2.958557e-14</td><td> -6.984072</td></tr>\n",
       "\t<tr><td>ITGA3    </td><td>1.807663e-15</td><td>-0.7422331</td><td>14.74288</td><td>2.729316e-14</td><td>-10.942656</td></tr>\n",
       "\t<tr><td>PLAUR    </td><td>1.569568e-15</td><td>-0.3896394</td><td>14.80422</td><td>2.403682e-14</td><td> -5.768308</td></tr>\n",
       "\t<tr><td>LTBR     </td><td>6.484642e-16</td><td>-0.3553093</td><td>15.18811</td><td>1.037543e-14</td><td> -5.396478</td></tr>\n",
       "\t<tr><td>KRT18    </td><td>2.629619e-16</td><td>-0.7600288</td><td>15.58011</td><td>4.546695e-15</td><td>-11.841330</td></tr>\n",
       "\t<tr><td>SERPINH1 </td><td>7.657512e-17</td><td>-0.4409749</td><td>16.11591</td><td>1.440150e-15</td><td> -7.106712</td></tr>\n",
       "\t<tr><td>FLNB     </td><td>6.505817e-17</td><td>-0.3815164</td><td>16.18670</td><td>1.291525e-15</td><td> -6.175491</td></tr>\n",
       "\t<tr><td>PLAU     </td><td>5.730255e-17</td><td>-0.6777661</td><td>16.24183</td><td>1.204477e-15</td><td>-11.008159</td></tr>\n",
       "\t<tr><td>ANXA1    </td><td>2.585845e-17</td><td>-0.5312755</td><td>16.58740</td><td>5.657196e-16</td><td> -8.812478</td></tr>\n",
       "\t<tr><td>NRP1     </td><td>2.162458e-17</td><td>-0.3076636</td><td>16.66505</td><td>4.829490e-16</td><td> -5.127229</td></tr>\n",
       "\t<tr><td>EIF4EBP1 </td><td>3.289238e-18</td><td>-0.3455771</td><td>17.48290</td><td>8.600155e-17</td><td> -6.041692</td></tr>\n",
       "\t<tr><td>SFN      </td><td>3.048772e-18</td><td>-0.5866079</td><td>17.51588</td><td>8.170708e-17</td><td>-10.274950</td></tr>\n",
       "\t<tr><td>CDH3     </td><td>2.387692e-18</td><td>-0.3990473</td><td>17.62202</td><td>6.917852e-17</td><td> -7.032020</td></tr>\n",
       "\t<tr><td>P4HA2    </td><td>1.702189e-18</td><td>-0.3676343</td><td>17.76899</td><td>5.068741e-17</td><td> -6.532490</td></tr>\n",
       "\t<tr><td>ERO1A    </td><td>5.462830e-19</td><td>-0.3310002</td><td>18.26258</td><td>2.091483e-17</td><td> -6.044919</td></tr>\n",
       "\t<tr><td>PLOD2    </td><td>2.222351e-19</td><td>-0.5643235</td><td>18.65319</td><td>9.926500e-18</td><td>-10.526432</td></tr>\n",
       "\t<tr><td>TNFRSF12A</td><td>2.595827e-20</td><td>-0.4262182</td><td>19.58572</td><td>2.318939e-18</td><td> -8.347792</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.table: 1072 × 6\n",
       "\\begin{tabular}{llllll}\n",
       " Gene & p\\_value & FC & Significance & FDR & pi\\\\\n",
       " <chr> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t CCL19   & 1.339584e-36 & 1.2768340 & 35.87303 & 1.436034e-33 & 45.803905\\\\\n",
       "\t CXCR4   & 2.170281e-27 & 0.8557776 & 26.66348 & 1.163271e-24 & 22.818011\\\\\n",
       "\t JAK3    & 1.206008e-25 & 0.3668510 & 24.91865 & 4.309467e-23 &  9.141432\\\\\n",
       "\t LTB     & 1.402994e-23 & 0.5048155 & 22.85294 & 3.760025e-21 & 11.536521\\\\\n",
       "\t CYFIP2  & 3.858102e-23 & 0.3102730 & 22.41363 & 8.271772e-21 &  6.954343\\\\\n",
       "\t ZAP70   & 3.909629e-22 & 0.3635887 & 21.40786 & 6.985204e-20 &  7.783658\\\\\n",
       "\t TRBC1/2 & 8.642634e-22 & 0.7055848 & 21.06335 & 1.323558e-19 & 14.861983\\\\\n",
       "\t CDKN1B  & 1.577957e-21 & 0.3141276 & 20.80190 & 2.114462e-19 &  6.534452\\\\\n",
       "\t CCND2   & 7.859007e-21 & 0.2745061 & 20.10463 & 8.518577e-19 &  5.518845\\\\\n",
       "\t IL2RG   & 7.946434e-21 & 0.3443252 & 20.09983 & 8.518577e-19 &  6.920877\\\\\n",
       "\t PLCG2   & 2.315947e-20 & 0.3292180 & 19.63527 & 2.256996e-18 &  6.464284\\\\\n",
       "\t TXNIP   & 3.350741e-20 & 0.6666177 & 19.47486 & 2.692951e-18 & 12.982285\\\\\n",
       "\t IRF3    & 3.516913e-20 & 0.1885319 & 19.45384 & 2.692951e-18 &  3.667670\\\\\n",
       "\t CD6\\_CTL & 6.370613e-20 & 0.3867666 & 19.19582 & 4.552865e-18 &  7.424301\\\\\n",
       "\t FYN     & 7.047508e-20 & 0.3004356 & 19.15196 & 4.721830e-18 &  5.753933\\\\\n",
       "\t WIPF1   & 1.121884e-19 & 0.3358534 & 18.95005 & 6.945071e-18 &  6.364439\\\\\n",
       "\t CCR7    & 1.198486e-19 & 0.4736773 & 18.92137 & 6.945071e-18 &  8.962623\\\\\n",
       "\t CD37    & 1.230936e-19 & 0.5065201 & 18.90976 & 6.945071e-18 &  9.578175\\\\\n",
       "\t CD79A   & 1.541121e-19 & 0.5763518 & 18.81216 & 8.260408e-18 & 10.842424\\\\\n",
       "\t BCL2    & 1.733608e-19 & 0.3238016 & 18.76105 & 8.849658e-18 &  6.074859\\\\\n",
       "\t TRAC    & 1.927395e-19 & 0.5198198 & 18.71503 & 9.154515e-18 &  9.728442\\\\\n",
       "\t CD6     & 1.964122e-19 & 0.3414348 & 18.70683 & 9.154515e-18 &  6.387164\\\\\n",
       "\t IL7R    & 2.862256e-19 & 0.5402077 & 18.54329 & 1.227335e-17 & 10.017228\\\\\n",
       "\t CD3E    & 3.602690e-19 & 0.3534035 & 18.44337 & 1.485417e-17 &  6.517954\\\\\n",
       "\t SELL    & 3.768962e-19 & 0.4092819 & 18.42378 & 1.496417e-17 &  7.540518\\\\\n",
       "\t ITGA4   & 6.323625e-19 & 0.2118246 & 18.19903 & 2.337561e-17 &  3.855003\\\\\n",
       "\t CD48    & 7.511810e-19 & 0.3265014 & 18.12426 & 2.684220e-17 &  5.917595\\\\\n",
       "\t TCF7    & 9.088639e-19 & 0.3660646 & 18.04150 & 3.142910e-17 &  6.604355\\\\\n",
       "\t INPP5D  & 9.519924e-19 & 0.3133947 & 18.02137 & 3.189175e-17 &  5.647800\\\\\n",
       "\t PTPRC   & 1.299082e-18 & 0.4250687 & 17.88636 & 4.220048e-17 &  7.602934\\\\\n",
       "\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t ITGAV     & 5.429861e-14 & -0.3648445 & 13.26521 & 6.168145e-13 &  -4.839739\\\\\n",
       "\t KRT19     & 4.536395e-14 & -0.9063173 & 13.34329 & 5.229049e-13 & -12.093253\\\\\n",
       "\t VEGFA     & 4.133983e-14 & -0.5476598 & 13.38363 & 4.816989e-13 &  -7.329677\\\\\n",
       "\t GNG12     & 3.316831e-14 & -0.2118568 & 13.47928 & 3.995104e-13 &  -2.855676\\\\\n",
       "\t PIK3R2    & 3.031656e-14 & -0.1806889 & 13.51832 & 3.693109e-13 &  -2.442610\\\\\n",
       "\t PDGFC     & 2.625467e-14 & -0.1742960 & 13.58079 & 3.235059e-13 &  -2.367078\\\\\n",
       "\t CEBPB     & 1.304065e-14 & -0.2991389 & 13.88470 & 1.664235e-13 &  -4.153454\\\\\n",
       "\t GNA11     & 8.948071e-15 & -0.1525199 & 14.04827 & 1.178334e-13 &  -2.142641\\\\\n",
       "\t NT5E      & 8.714433e-15 & -0.1943460 & 14.05976 & 1.167734e-13 &  -2.732458\\\\\n",
       "\t CCL8      & 5.846921e-15 & -0.4355368 & 14.23307 & 8.035769e-14 &  -6.199027\\\\\n",
       "\t KLF4      & 3.921852e-15 & -0.2895985 & 14.40651 & 5.460033e-14 &  -4.172103\\\\\n",
       "\t LAMC2     & 3.540717e-15 & -0.6735277 & 14.45091 & 5.060865e-14 &  -9.733087\\\\\n",
       "\t LAMA3     & 2.575118e-15 & -0.3101575 & 14.58920 & 3.730441e-14 &  -4.524951\\\\\n",
       "\t FLNC      & 1.987091e-15 & -0.4750493 & 14.70178 & 2.958557e-14 &  -6.984072\\\\\n",
       "\t ITGA3     & 1.807663e-15 & -0.7422331 & 14.74288 & 2.729316e-14 & -10.942656\\\\\n",
       "\t PLAUR     & 1.569568e-15 & -0.3896394 & 14.80422 & 2.403682e-14 &  -5.768308\\\\\n",
       "\t LTBR      & 6.484642e-16 & -0.3553093 & 15.18811 & 1.037543e-14 &  -5.396478\\\\\n",
       "\t KRT18     & 2.629619e-16 & -0.7600288 & 15.58011 & 4.546695e-15 & -11.841330\\\\\n",
       "\t SERPINH1  & 7.657512e-17 & -0.4409749 & 16.11591 & 1.440150e-15 &  -7.106712\\\\\n",
       "\t FLNB      & 6.505817e-17 & -0.3815164 & 16.18670 & 1.291525e-15 &  -6.175491\\\\\n",
       "\t PLAU      & 5.730255e-17 & -0.6777661 & 16.24183 & 1.204477e-15 & -11.008159\\\\\n",
       "\t ANXA1     & 2.585845e-17 & -0.5312755 & 16.58740 & 5.657196e-16 &  -8.812478\\\\\n",
       "\t NRP1      & 2.162458e-17 & -0.3076636 & 16.66505 & 4.829490e-16 &  -5.127229\\\\\n",
       "\t EIF4EBP1  & 3.289238e-18 & -0.3455771 & 17.48290 & 8.600155e-17 &  -6.041692\\\\\n",
       "\t SFN       & 3.048772e-18 & -0.5866079 & 17.51588 & 8.170708e-17 & -10.274950\\\\\n",
       "\t CDH3      & 2.387692e-18 & -0.3990473 & 17.62202 & 6.917852e-17 &  -7.032020\\\\\n",
       "\t P4HA2     & 1.702189e-18 & -0.3676343 & 17.76899 & 5.068741e-17 &  -6.532490\\\\\n",
       "\t ERO1A     & 5.462830e-19 & -0.3310002 & 18.26258 & 2.091483e-17 &  -6.044919\\\\\n",
       "\t PLOD2     & 2.222351e-19 & -0.5643235 & 18.65319 & 9.926500e-18 & -10.526432\\\\\n",
       "\t TNFRSF12A & 2.595827e-20 & -0.4262182 & 19.58572 & 2.318939e-18 &  -8.347792\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.table: 1072 × 6\n",
       "\n",
       "| Gene &lt;chr&gt; | p_value &lt;dbl&gt; | FC &lt;dbl&gt; | Significance &lt;dbl&gt; | FDR &lt;dbl&gt; | pi &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|\n",
       "| CCL19   | 1.339584e-36 | 1.2768340 | 35.87303 | 1.436034e-33 | 45.803905 |\n",
       "| CXCR4   | 2.170281e-27 | 0.8557776 | 26.66348 | 1.163271e-24 | 22.818011 |\n",
       "| JAK3    | 1.206008e-25 | 0.3668510 | 24.91865 | 4.309467e-23 |  9.141432 |\n",
       "| LTB     | 1.402994e-23 | 0.5048155 | 22.85294 | 3.760025e-21 | 11.536521 |\n",
       "| CYFIP2  | 3.858102e-23 | 0.3102730 | 22.41363 | 8.271772e-21 |  6.954343 |\n",
       "| ZAP70   | 3.909629e-22 | 0.3635887 | 21.40786 | 6.985204e-20 |  7.783658 |\n",
       "| TRBC1/2 | 8.642634e-22 | 0.7055848 | 21.06335 | 1.323558e-19 | 14.861983 |\n",
       "| CDKN1B  | 1.577957e-21 | 0.3141276 | 20.80190 | 2.114462e-19 |  6.534452 |\n",
       "| CCND2   | 7.859007e-21 | 0.2745061 | 20.10463 | 8.518577e-19 |  5.518845 |\n",
       "| IL2RG   | 7.946434e-21 | 0.3443252 | 20.09983 | 8.518577e-19 |  6.920877 |\n",
       "| PLCG2   | 2.315947e-20 | 0.3292180 | 19.63527 | 2.256996e-18 |  6.464284 |\n",
       "| TXNIP   | 3.350741e-20 | 0.6666177 | 19.47486 | 2.692951e-18 | 12.982285 |\n",
       "| IRF3    | 3.516913e-20 | 0.1885319 | 19.45384 | 2.692951e-18 |  3.667670 |\n",
       "| CD6_CTL | 6.370613e-20 | 0.3867666 | 19.19582 | 4.552865e-18 |  7.424301 |\n",
       "| FYN     | 7.047508e-20 | 0.3004356 | 19.15196 | 4.721830e-18 |  5.753933 |\n",
       "| WIPF1   | 1.121884e-19 | 0.3358534 | 18.95005 | 6.945071e-18 |  6.364439 |\n",
       "| CCR7    | 1.198486e-19 | 0.4736773 | 18.92137 | 6.945071e-18 |  8.962623 |\n",
       "| CD37    | 1.230936e-19 | 0.5065201 | 18.90976 | 6.945071e-18 |  9.578175 |\n",
       "| CD79A   | 1.541121e-19 | 0.5763518 | 18.81216 | 8.260408e-18 | 10.842424 |\n",
       "| BCL2    | 1.733608e-19 | 0.3238016 | 18.76105 | 8.849658e-18 |  6.074859 |\n",
       "| TRAC    | 1.927395e-19 | 0.5198198 | 18.71503 | 9.154515e-18 |  9.728442 |\n",
       "| CD6     | 1.964122e-19 | 0.3414348 | 18.70683 | 9.154515e-18 |  6.387164 |\n",
       "| IL7R    | 2.862256e-19 | 0.5402077 | 18.54329 | 1.227335e-17 | 10.017228 |\n",
       "| CD3E    | 3.602690e-19 | 0.3534035 | 18.44337 | 1.485417e-17 |  6.517954 |\n",
       "| SELL    | 3.768962e-19 | 0.4092819 | 18.42378 | 1.496417e-17 |  7.540518 |\n",
       "| ITGA4   | 6.323625e-19 | 0.2118246 | 18.19903 | 2.337561e-17 |  3.855003 |\n",
       "| CD48    | 7.511810e-19 | 0.3265014 | 18.12426 | 2.684220e-17 |  5.917595 |\n",
       "| TCF7    | 9.088639e-19 | 0.3660646 | 18.04150 | 3.142910e-17 |  6.604355 |\n",
       "| INPP5D  | 9.519924e-19 | 0.3133947 | 18.02137 | 3.189175e-17 |  5.647800 |\n",
       "| PTPRC   | 1.299082e-18 | 0.4250687 | 17.88636 | 4.220048e-17 |  7.602934 |\n",
       "| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |\n",
       "| ITGAV     | 5.429861e-14 | -0.3648445 | 13.26521 | 6.168145e-13 |  -4.839739 |\n",
       "| KRT19     | 4.536395e-14 | -0.9063173 | 13.34329 | 5.229049e-13 | -12.093253 |\n",
       "| VEGFA     | 4.133983e-14 | -0.5476598 | 13.38363 | 4.816989e-13 |  -7.329677 |\n",
       "| GNG12     | 3.316831e-14 | -0.2118568 | 13.47928 | 3.995104e-13 |  -2.855676 |\n",
       "| PIK3R2    | 3.031656e-14 | -0.1806889 | 13.51832 | 3.693109e-13 |  -2.442610 |\n",
       "| PDGFC     | 2.625467e-14 | -0.1742960 | 13.58079 | 3.235059e-13 |  -2.367078 |\n",
       "| CEBPB     | 1.304065e-14 | -0.2991389 | 13.88470 | 1.664235e-13 |  -4.153454 |\n",
       "| GNA11     | 8.948071e-15 | -0.1525199 | 14.04827 | 1.178334e-13 |  -2.142641 |\n",
       "| NT5E      | 8.714433e-15 | -0.1943460 | 14.05976 | 1.167734e-13 |  -2.732458 |\n",
       "| CCL8      | 5.846921e-15 | -0.4355368 | 14.23307 | 8.035769e-14 |  -6.199027 |\n",
       "| KLF4      | 3.921852e-15 | -0.2895985 | 14.40651 | 5.460033e-14 |  -4.172103 |\n",
       "| LAMC2     | 3.540717e-15 | -0.6735277 | 14.45091 | 5.060865e-14 |  -9.733087 |\n",
       "| LAMA3     | 2.575118e-15 | -0.3101575 | 14.58920 | 3.730441e-14 |  -4.524951 |\n",
       "| FLNC      | 1.987091e-15 | -0.4750493 | 14.70178 | 2.958557e-14 |  -6.984072 |\n",
       "| ITGA3     | 1.807663e-15 | -0.7422331 | 14.74288 | 2.729316e-14 | -10.942656 |\n",
       "| PLAUR     | 1.569568e-15 | -0.3896394 | 14.80422 | 2.403682e-14 |  -5.768308 |\n",
       "| LTBR      | 6.484642e-16 | -0.3553093 | 15.18811 | 1.037543e-14 |  -5.396478 |\n",
       "| KRT18     | 2.629619e-16 | -0.7600288 | 15.58011 | 4.546695e-15 | -11.841330 |\n",
       "| SERPINH1  | 7.657512e-17 | -0.4409749 | 16.11591 | 1.440150e-15 |  -7.106712 |\n",
       "| FLNB      | 6.505817e-17 | -0.3815164 | 16.18670 | 1.291525e-15 |  -6.175491 |\n",
       "| PLAU      | 5.730255e-17 | -0.6777661 | 16.24183 | 1.204477e-15 | -11.008159 |\n",
       "| ANXA1     | 2.585845e-17 | -0.5312755 | 16.58740 | 5.657196e-16 |  -8.812478 |\n",
       "| NRP1      | 2.162458e-17 | -0.3076636 | 16.66505 | 4.829490e-16 |  -5.127229 |\n",
       "| EIF4EBP1  | 3.289238e-18 | -0.3455771 | 17.48290 | 8.600155e-17 |  -6.041692 |\n",
       "| SFN       | 3.048772e-18 | -0.5866079 | 17.51588 | 8.170708e-17 | -10.274950 |\n",
       "| CDH3      | 2.387692e-18 | -0.3990473 | 17.62202 | 6.917852e-17 |  -7.032020 |\n",
       "| P4HA2     | 1.702189e-18 | -0.3676343 | 17.76899 | 5.068741e-17 |  -6.532490 |\n",
       "| ERO1A     | 5.462830e-19 | -0.3310002 | 18.26258 | 2.091483e-17 |  -6.044919 |\n",
       "| PLOD2     | 2.222351e-19 | -0.5643235 | 18.65319 | 9.926500e-18 | -10.526432 |\n",
       "| TNFRSF12A | 2.595827e-20 | -0.4262182 | 19.58572 | 2.318939e-18 |  -8.347792 |\n",
       "\n"
      ],
      "text/plain": [
       "     Gene      p_value      FC         Significance FDR          pi        \n",
       "1    CCL19     1.339584e-36 1.2768340  35.87303     1.436034e-33 45.803905 \n",
       "2    CXCR4     2.170281e-27 0.8557776  26.66348     1.163271e-24 22.818011 \n",
       "3    JAK3      1.206008e-25 0.3668510  24.91865     4.309467e-23  9.141432 \n",
       "4    LTB       1.402994e-23 0.5048155  22.85294     3.760025e-21 11.536521 \n",
       "5    CYFIP2    3.858102e-23 0.3102730  22.41363     8.271772e-21  6.954343 \n",
       "6    ZAP70     3.909629e-22 0.3635887  21.40786     6.985204e-20  7.783658 \n",
       "7    TRBC1/2   8.642634e-22 0.7055848  21.06335     1.323558e-19 14.861983 \n",
       "8    CDKN1B    1.577957e-21 0.3141276  20.80190     2.114462e-19  6.534452 \n",
       "9    CCND2     7.859007e-21 0.2745061  20.10463     8.518577e-19  5.518845 \n",
       "10   IL2RG     7.946434e-21 0.3443252  20.09983     8.518577e-19  6.920877 \n",
       "11   PLCG2     2.315947e-20 0.3292180  19.63527     2.256996e-18  6.464284 \n",
       "12   TXNIP     3.350741e-20 0.6666177  19.47486     2.692951e-18 12.982285 \n",
       "13   IRF3      3.516913e-20 0.1885319  19.45384     2.692951e-18  3.667670 \n",
       "14   CD6_CTL   6.370613e-20 0.3867666  19.19582     4.552865e-18  7.424301 \n",
       "15   FYN       7.047508e-20 0.3004356  19.15196     4.721830e-18  5.753933 \n",
       "16   WIPF1     1.121884e-19 0.3358534  18.95005     6.945071e-18  6.364439 \n",
       "17   CCR7      1.198486e-19 0.4736773  18.92137     6.945071e-18  8.962623 \n",
       "18   CD37      1.230936e-19 0.5065201  18.90976     6.945071e-18  9.578175 \n",
       "19   CD79A     1.541121e-19 0.5763518  18.81216     8.260408e-18 10.842424 \n",
       "20   BCL2      1.733608e-19 0.3238016  18.76105     8.849658e-18  6.074859 \n",
       "21   TRAC      1.927395e-19 0.5198198  18.71503     9.154515e-18  9.728442 \n",
       "22   CD6       1.964122e-19 0.3414348  18.70683     9.154515e-18  6.387164 \n",
       "23   IL7R      2.862256e-19 0.5402077  18.54329     1.227335e-17 10.017228 \n",
       "24   CD3E      3.602690e-19 0.3534035  18.44337     1.485417e-17  6.517954 \n",
       "25   SELL      3.768962e-19 0.4092819  18.42378     1.496417e-17  7.540518 \n",
       "26   ITGA4     6.323625e-19 0.2118246  18.19903     2.337561e-17  3.855003 \n",
       "27   CD48      7.511810e-19 0.3265014  18.12426     2.684220e-17  5.917595 \n",
       "28   TCF7      9.088639e-19 0.3660646  18.04150     3.142910e-17  6.604355 \n",
       "29   INPP5D    9.519924e-19 0.3133947  18.02137     3.189175e-17  5.647800 \n",
       "30   PTPRC     1.299082e-18 0.4250687  17.88636     4.220048e-17  7.602934 \n",
       "⋮    ⋮         ⋮            ⋮          ⋮            ⋮            ⋮         \n",
       "1043 ITGAV     5.429861e-14 -0.3648445 13.26521     6.168145e-13  -4.839739\n",
       "1044 KRT19     4.536395e-14 -0.9063173 13.34329     5.229049e-13 -12.093253\n",
       "1045 VEGFA     4.133983e-14 -0.5476598 13.38363     4.816989e-13  -7.329677\n",
       "1046 GNG12     3.316831e-14 -0.2118568 13.47928     3.995104e-13  -2.855676\n",
       "1047 PIK3R2    3.031656e-14 -0.1806889 13.51832     3.693109e-13  -2.442610\n",
       "1048 PDGFC     2.625467e-14 -0.1742960 13.58079     3.235059e-13  -2.367078\n",
       "1049 CEBPB     1.304065e-14 -0.2991389 13.88470     1.664235e-13  -4.153454\n",
       "1050 GNA11     8.948071e-15 -0.1525199 14.04827     1.178334e-13  -2.142641\n",
       "1051 NT5E      8.714433e-15 -0.1943460 14.05976     1.167734e-13  -2.732458\n",
       "1052 CCL8      5.846921e-15 -0.4355368 14.23307     8.035769e-14  -6.199027\n",
       "1053 KLF4      3.921852e-15 -0.2895985 14.40651     5.460033e-14  -4.172103\n",
       "1054 LAMC2     3.540717e-15 -0.6735277 14.45091     5.060865e-14  -9.733087\n",
       "1055 LAMA3     2.575118e-15 -0.3101575 14.58920     3.730441e-14  -4.524951\n",
       "1056 FLNC      1.987091e-15 -0.4750493 14.70178     2.958557e-14  -6.984072\n",
       "1057 ITGA3     1.807663e-15 -0.7422331 14.74288     2.729316e-14 -10.942656\n",
       "1058 PLAUR     1.569568e-15 -0.3896394 14.80422     2.403682e-14  -5.768308\n",
       "1059 LTBR      6.484642e-16 -0.3553093 15.18811     1.037543e-14  -5.396478\n",
       "1060 KRT18     2.629619e-16 -0.7600288 15.58011     4.546695e-15 -11.841330\n",
       "1061 SERPINH1  7.657512e-17 -0.4409749 16.11591     1.440150e-15  -7.106712\n",
       "1062 FLNB      6.505817e-17 -0.3815164 16.18670     1.291525e-15  -6.175491\n",
       "1063 PLAU      5.730255e-17 -0.6777661 16.24183     1.204477e-15 -11.008159\n",
       "1064 ANXA1     2.585845e-17 -0.5312755 16.58740     5.657196e-16  -8.812478\n",
       "1065 NRP1      2.162458e-17 -0.3076636 16.66505     4.829490e-16  -5.127229\n",
       "1066 EIF4EBP1  3.289238e-18 -0.3455771 17.48290     8.600155e-17  -6.041692\n",
       "1067 SFN       3.048772e-18 -0.5866079 17.51588     8.170708e-17 -10.274950\n",
       "1068 CDH3      2.387692e-18 -0.3990473 17.62202     6.917852e-17  -7.032020\n",
       "1069 P4HA2     1.702189e-18 -0.3676343 17.76899     5.068741e-17  -6.532490\n",
       "1070 ERO1A     5.462830e-19 -0.3310002 18.26258     2.091483e-17  -6.044919\n",
       "1071 PLOD2     2.222351e-19 -0.5643235 18.65319     9.926500e-18 -10.526432\n",
       "1072 TNFRSF12A 2.595827e-20 -0.4262182 19.58572     2.318939e-18  -8.347792"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "geomx_fc %>% \n",
    "    arrange(sign(FC) * log(p_value))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5fc32e68-132a-48b4-8b63-7023e0a09229",
   "metadata": {},
   "source": [
    "## vigzen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6a106b33-851b-4457-878e-8b269ac09ee1",
   "metadata": {},
   "outputs": [],
   "source": [
    "obj = readRDS('lung_n4/grid/obj_hubs.rds')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1e320322-b9c8-4b94-8a25-7da2e5eaa1fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>'meta_data'</li><li>'counts'</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'meta\\_data'\n",
       "\\item 'counts'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'meta_data'\n",
       "2. 'counts'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"meta_data\" \"counts\"   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "names(obj)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a854c0ac-e5ca-478e-8f12-093a4e2b7b6e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 5 × 5 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>1</th><th scope=col>2</th><th scope=col>3</th><th scope=col>4</th><th scope=col>5</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>ACE</th><td>4131</td><td>0</td><td>67</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>ACKR1</th><td>1496</td><td>0</td><td>10</td><td>0</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>ACKR2</th><td> 808</td><td>0</td><td>12</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>ACKR3</th><td>7100</td><td>2</td><td>49</td><td>1</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>ACKR4</th><td>1163</td><td>0</td><td>18</td><td>0</td><td>0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 5 × 5 of type dbl\n",
       "\\begin{tabular}{r|lllll}\n",
       "  & 1 & 2 & 3 & 4 & 5\\\\\n",
       "\\hline\n",
       "\tACE & 4131 & 0 & 67 & 1 & 1\\\\\n",
       "\tACKR1 & 1496 & 0 & 10 & 0 & 1\\\\\n",
       "\tACKR2 &  808 & 0 & 12 & 0 & 0\\\\\n",
       "\tACKR3 & 7100 & 2 & 49 & 1 & 0\\\\\n",
       "\tACKR4 & 1163 & 0 & 18 & 0 & 0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 5 × 5 of type dbl\n",
       "\n",
       "| <!--/--> | 1 | 2 | 3 | 4 | 5 |\n",
       "|---|---|---|---|---|---|\n",
       "| ACE | 4131 | 0 | 67 | 1 | 1 |\n",
       "| ACKR1 | 1496 | 0 | 10 | 0 | 1 |\n",
       "| ACKR2 |  808 | 0 | 12 | 0 | 0 |\n",
       "| ACKR3 | 7100 | 2 | 49 | 1 | 0 |\n",
       "| ACKR4 | 1163 | 0 | 18 | 0 | 0 |\n",
       "\n"
      ],
      "text/plain": [
       "      1    2 3  4 5\n",
       "ACE   4131 0 67 1 1\n",
       "ACKR1 1496 0 10 0 1\n",
       "ACKR2  808 0 12 0 0\n",
       "ACKR3 7100 2 49 1 0\n",
       "ACKR4 1163 0 18 0 0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "obj$counts[1:5, 1:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0d26a1e3-9a2e-411a-8969-4afcde990af3",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Registered S3 method overwritten by 'geojson':\n",
      "  method        from     \n",
      "  print.geojson geojsonsf\n",
      "\n"
     ]
    },
    {
     "data": {
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          "ID": "6",
          "X": 10906.2406,
          "Y": 1136.1631,
          "area": 67500.0086,
          "hubType": "tumor",
          "library": "Sample05",
          "ntiles": 27
         },
         "type": "Feature"
        }
       ],
       "type": "FeatureCollection"
      },
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A sf: 6 × 8</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>library</th><th scope=col>hubType</th><th scope=col>ID</th><th scope=col>ntiles</th><th scope=col>X</th><th scope=col>Y</th><th scope=col>area</th><th scope=col>shape</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&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;GEOMETRY&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>Sample05</td><td>tumor</td><td>1</td><td>6381</td><td> 7156.300</td><td>2177.3111</td><td>15874262.765</td><td>MULTIPOLYGON (((3800.149 18...</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>Sample05</td><td>tumor</td><td>2</td><td>   1</td><td> 8286.479</td><td> 941.4254</td><td>    2500.000</td><td>POLYGON ((8259.615 925.9153...</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>Sample05</td><td>tumor</td><td>3</td><td>  57</td><td>10452.114</td><td>2271.2108</td><td>  142500.018</td><td>MULTIPOLYGON (((10274.43 22...</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>Sample05</td><td>tumor</td><td>4</td><td>   1</td><td>10301.298</td><td>2383.8630</td><td>    2500.000</td><td>POLYGON ((10274.43 2368.353...</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>Sample05</td><td>tumor</td><td>5</td><td>   2</td><td>10583.372</td><td>1988.3559</td><td>    5000.001</td><td>POLYGON ((10569.94 1980.601...</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>Sample05</td><td>tumor</td><td>6</td><td>  27</td><td>10906.241</td><td>1136.1631</td><td>   67500.009</td><td>POLYGON ((10704.26 1065.506...</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A sf: 6 × 8\n",
       "\\begin{tabular}{r|llllllll}\n",
       "  & library & hubType & ID & ntiles & X & Y & area & shape\\\\\n",
       "  & <chr> & <chr> & <chr> & <int> & <dbl> & <dbl> & <dbl> & <GEOMETRY>\\\\\n",
       "\\hline\n",
       "\t1 & Sample05 & tumor & 1 & 6381 &  7156.300 & 2177.3111 & 15874262.765 & MULTIPOLYGON (((3800.149 18...\\\\\n",
       "\t2 & Sample05 & tumor & 2 &    1 &  8286.479 &  941.4254 &     2500.000 & POLYGON ((8259.615 925.9153...\\\\\n",
       "\t3 & Sample05 & tumor & 3 &   57 & 10452.114 & 2271.2108 &   142500.018 & MULTIPOLYGON (((10274.43 22...\\\\\n",
       "\t4 & Sample05 & tumor & 4 &    1 & 10301.298 & 2383.8630 &     2500.000 & POLYGON ((10274.43 2368.353...\\\\\n",
       "\t5 & Sample05 & tumor & 5 &    2 & 10583.372 & 1988.3559 &     5000.001 & POLYGON ((10569.94 1980.601...\\\\\n",
       "\t6 & Sample05 & tumor & 6 &   27 & 10906.241 & 1136.1631 &    67500.009 & POLYGON ((10704.26 1065.506...\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A sf: 6 × 8\n",
       "\n",
       "| <!--/--> | library &lt;chr&gt; | hubType &lt;chr&gt; | ID &lt;chr&gt; | ntiles &lt;int&gt; | X &lt;dbl&gt; | Y &lt;dbl&gt; | area &lt;dbl&gt; | shape &lt;GEOMETRY&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | Sample05 | tumor | 1 | 6381 |  7156.300 | 2177.3111 | 15874262.765 | MULTIPOLYGON (((3800.149 18... |\n",
       "| 2 | Sample05 | tumor | 2 |    1 |  8286.479 |  941.4254 |     2500.000 | POLYGON ((8259.615 925.9153... |\n",
       "| 3 | Sample05 | tumor | 3 |   57 | 10452.114 | 2271.2108 |   142500.018 | MULTIPOLYGON (((10274.43 22... |\n",
       "| 4 | Sample05 | tumor | 4 |    1 | 10301.298 | 2383.8630 |     2500.000 | POLYGON ((10274.43 2368.353... |\n",
       "| 5 | Sample05 | tumor | 5 |    2 | 10583.372 | 1988.3559 |     5000.001 | POLYGON ((10569.94 1980.601... |\n",
       "| 6 | Sample05 | tumor | 6 |   27 | 10906.241 | 1136.1631 |    67500.009 | POLYGON ((10704.26 1065.506... |\n",
       "\n"
      ],
      "text/plain": [
       "  library  hubType ID ntiles X         Y         area        \n",
       "1 Sample05 tumor   1  6381    7156.300 2177.3111 15874262.765\n",
       "2 Sample05 tumor   2     1    8286.479  941.4254     2500.000\n",
       "3 Sample05 tumor   3    57   10452.114 2271.2108   142500.018\n",
       "4 Sample05 tumor   4     1   10301.298 2383.8630     2500.000\n",
       "5 Sample05 tumor   5     2   10583.372 1988.3559     5000.001\n",
       "6 Sample05 tumor   6    27   10906.241 1136.1631    67500.009\n",
       "  shape                         \n",
       "1 MULTIPOLYGON (((3800.149 18...\n",
       "2 POLYGON ((8259.615 925.9153...\n",
       "3 MULTIPOLYGON (((10274.43 22...\n",
       "4 POLYGON ((10274.43 2368.353...\n",
       "5 POLYGON ((10569.94 1980.601...\n",
       "6 POLYGON ((10704.26 1065.506..."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(obj$meta_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d47257c2-67ea-434b-967c-e6eefa44d71d",
   "metadata": {},
   "source": [
    "## genes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3630c769-6551-47af-a35f-62445f40fb2f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "177"
      ],
      "text/latex": [
       "177"
      ],
      "text/markdown": [
       "177"
      ],
      "text/plain": [
       "[1] 177"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "genes_common = intersect(rownames(obj$counts), geomx_fc$Gene)\n",
    "length(genes_common)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "61b61212-885f-49fb-b18c-f6691f8f799c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>'ACTA2'</li><li>'ANXA1'</li><li>'AXL'</li><li>'BATF'</li><li>'BIRC3'</li><li>'C1QA'</li><li>'C1QB'</li><li>'CCL13'</li><li>'CCL18'</li><li>'CCL19'</li><li>'CCL2'</li><li>'CCL21'</li><li>'CCL4'</li><li>'CCL5'</li><li>'CCL8'</li><li>'CCND1'</li><li>'CCR4'</li><li>'CCR5'</li><li>'CCR7'</li><li>'CD14'</li><li>'CD163'</li><li>'CD19'</li><li>'CD2'</li><li>'CD247'</li><li>'CD27'</li><li>'CD274'</li><li>'CD34'</li><li>'CD38'</li><li>'CD3D'</li><li>'CD3E'</li><li>'CD4'</li><li>'CD40'</li><li>'CD69'</li><li>'CD7'</li><li>'CD74'</li><li>'CD79A'</li><li>'CD8A'</li><li>'COL1A2'</li><li>'COL3A1'</li><li>'CPA3'</li><li>'CSF1'</li><li>'CSF1R'</li><li>'CSF2RB'</li><li>'CSF3R'</li><li>'CTLA4'</li><li>'CXCL1'</li><li>'CXCL10'</li><li>'CXCL11'</li><li>'CXCL12'</li><li>'CXCL13'</li><li>'CXCL14'</li><li>'CXCL16'</li><li>'CXCL2'</li><li>'CXCL3'</li><li>'CXCL5'</li><li>'CXCL8'</li><li>'CXCL9'</li><li>'CXCR4'</li><li>'DUSP6'</li><li>'EGR1'</li><li>'FAP'</li><li>'FAS'</li><li>'FLT3LG'</li><li>'FN1'</li><li>'FOS'</li><li>'GAS1'</li><li>'GBP1'</li><li>'GBP4'</li><li>'GNLY'</li><li>'GZMA'</li><li>'GZMK'</li><li>'HAVCR2'</li><li>'HCK'</li><li>'HIF1A'</li><li>'HLA-C'</li><li>'HLA-DRA'</li><li>'HLA-E'</li><li>'HSPA1A'</li><li>'ICAM1'</li><li>'ID2'</li><li>'IDO1'</li><li>'IFNAR2'</li><li>'IFNGR1'</li><li>'IFNGR2'</li><li>'IGFBP3'</li><li>'IL18'</li><li>'IL1B'</li><li>'IL1R1'</li><li>'IL1RAP'</li><li>'IL1RN'</li><li>'IL2RA'</li><li>'IL2RB'</li><li>'IL2RG'</li><li>'IL32'</li><li>'IL6'</li><li>'IL6R'</li><li>'IL7R'</li><li>'INHBA'</li><li>'IRF8'</li><li>'ISG15'</li><li>'ITGA1'</li><li>'ITGA5'</li><li>'ITGAX'</li><li>'ITGB7'</li><li>'JAG1'</li><li>'JUN'</li><li>'JUNB'</li><li>'KDR'</li><li>'KLRG1'</li><li>'LAG3'</li><li>'LAMB3'</li><li>'LAMP3'</li><li>'LEF1'</li><li>'LILRB2'</li><li>'LY6E'</li><li>'LYZ'</li><li>'MARCO'</li><li>'MERTK'</li><li>'MET'</li><li>'MKI67'</li><li>'MMP1'</li><li>'MMP9'</li><li>'MRC1'</li><li>'MS4A1'</li><li>'MX1'</li><li>'NOTCH1'</li><li>'NOTCH2'</li><li>'NOTCH3'</li><li>'NT5E'</li><li>'PCNA'</li><li>'PDCD1LG2'</li><li>'PDGFB'</li><li>'PDGFRA'</li><li>'PDGFRB'</li><li>'PDPN'</li><li>'PECAM1'</li><li>'PRDM1'</li><li>'PRF1'</li><li>'PSMB8'</li><li>'PSMB9'</li><li>'PTPRC'</li><li>'RORA'</li><li>'S100A8'</li><li>'S100A9'</li><li>'SELL'</li><li>'SERPINA1'</li><li>'SFRP2'</li><li>'SMARCA4'</li><li>'SOD2'</li><li>'SPP1'</li><li>'SPRY4'</li><li>'STAT1'</li><li>'STING1'</li><li>'STMN1'</li><li>'TAP1'</li><li>'TCF7'</li><li>'TGFB1'</li><li>'TGFB3'</li><li>'TGFBR1'</li><li>'TGFBR2'</li><li>'THY1'</li><li>'TIGIT'</li><li>'TNFRSF13B'</li><li>'TNFRSF1A'</li><li>'TNFRSF1B'</li><li>'TNFRSF25'</li><li>'TNFRSF9'</li><li>'TNFSF13B'</li><li>'TOP2A'</li><li>'TOX'</li><li>'TRAC'</li><li>'UBE2C'</li><li>'VCAM1'</li><li>'VCAN'</li><li>'VEGFA'</li><li>'VEGFB'</li><li>'VEGFC'</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'ACTA2'\n",
       "\\item 'ANXA1'\n",
       "\\item 'AXL'\n",
       "\\item 'BATF'\n",
       "\\item 'BIRC3'\n",
       "\\item 'C1QA'\n",
       "\\item 'C1QB'\n",
       "\\item 'CCL13'\n",
       "\\item 'CCL18'\n",
       "\\item 'CCL19'\n",
       "\\item 'CCL2'\n",
       "\\item 'CCL21'\n",
       "\\item 'CCL4'\n",
       "\\item 'CCL5'\n",
       "\\item 'CCL8'\n",
       "\\item 'CCND1'\n",
       "\\item 'CCR4'\n",
       "\\item 'CCR5'\n",
       "\\item 'CCR7'\n",
       "\\item 'CD14'\n",
       "\\item 'CD163'\n",
       "\\item 'CD19'\n",
       "\\item 'CD2'\n",
       "\\item 'CD247'\n",
       "\\item 'CD27'\n",
       "\\item 'CD274'\n",
       "\\item 'CD34'\n",
       "\\item 'CD38'\n",
       "\\item 'CD3D'\n",
       "\\item 'CD3E'\n",
       "\\item 'CD4'\n",
       "\\item 'CD40'\n",
       "\\item 'CD69'\n",
       "\\item 'CD7'\n",
       "\\item 'CD74'\n",
       "\\item 'CD79A'\n",
       "\\item 'CD8A'\n",
       "\\item 'COL1A2'\n",
       "\\item 'COL3A1'\n",
       "\\item 'CPA3'\n",
       "\\item 'CSF1'\n",
       "\\item 'CSF1R'\n",
       "\\item 'CSF2RB'\n",
       "\\item 'CSF3R'\n",
       "\\item 'CTLA4'\n",
       "\\item 'CXCL1'\n",
       "\\item 'CXCL10'\n",
       "\\item 'CXCL11'\n",
       "\\item 'CXCL12'\n",
       "\\item 'CXCL13'\n",
       "\\item 'CXCL14'\n",
       "\\item 'CXCL16'\n",
       "\\item 'CXCL2'\n",
       "\\item 'CXCL3'\n",
       "\\item 'CXCL5'\n",
       "\\item 'CXCL8'\n",
       "\\item 'CXCL9'\n",
       "\\item 'CXCR4'\n",
       "\\item 'DUSP6'\n",
       "\\item 'EGR1'\n",
       "\\item 'FAP'\n",
       "\\item 'FAS'\n",
       "\\item 'FLT3LG'\n",
       "\\item 'FN1'\n",
       "\\item 'FOS'\n",
       "\\item 'GAS1'\n",
       "\\item 'GBP1'\n",
       "\\item 'GBP4'\n",
       "\\item 'GNLY'\n",
       "\\item 'GZMA'\n",
       "\\item 'GZMK'\n",
       "\\item 'HAVCR2'\n",
       "\\item 'HCK'\n",
       "\\item 'HIF1A'\n",
       "\\item 'HLA-C'\n",
       "\\item 'HLA-DRA'\n",
       "\\item 'HLA-E'\n",
       "\\item 'HSPA1A'\n",
       "\\item 'ICAM1'\n",
       "\\item 'ID2'\n",
       "\\item 'IDO1'\n",
       "\\item 'IFNAR2'\n",
       "\\item 'IFNGR1'\n",
       "\\item 'IFNGR2'\n",
       "\\item 'IGFBP3'\n",
       "\\item 'IL18'\n",
       "\\item 'IL1B'\n",
       "\\item 'IL1R1'\n",
       "\\item 'IL1RAP'\n",
       "\\item 'IL1RN'\n",
       "\\item 'IL2RA'\n",
       "\\item 'IL2RB'\n",
       "\\item 'IL2RG'\n",
       "\\item 'IL32'\n",
       "\\item 'IL6'\n",
       "\\item 'IL6R'\n",
       "\\item 'IL7R'\n",
       "\\item 'INHBA'\n",
       "\\item 'IRF8'\n",
       "\\item 'ISG15'\n",
       "\\item 'ITGA1'\n",
       "\\item 'ITGA5'\n",
       "\\item 'ITGAX'\n",
       "\\item 'ITGB7'\n",
       "\\item 'JAG1'\n",
       "\\item 'JUN'\n",
       "\\item 'JUNB'\n",
       "\\item 'KDR'\n",
       "\\item 'KLRG1'\n",
       "\\item 'LAG3'\n",
       "\\item 'LAMB3'\n",
       "\\item 'LAMP3'\n",
       "\\item 'LEF1'\n",
       "\\item 'LILRB2'\n",
       "\\item 'LY6E'\n",
       "\\item 'LYZ'\n",
       "\\item 'MARCO'\n",
       "\\item 'MERTK'\n",
       "\\item 'MET'\n",
       "\\item 'MKI67'\n",
       "\\item 'MMP1'\n",
       "\\item 'MMP9'\n",
       "\\item 'MRC1'\n",
       "\\item 'MS4A1'\n",
       "\\item 'MX1'\n",
       "\\item 'NOTCH1'\n",
       "\\item 'NOTCH2'\n",
       "\\item 'NOTCH3'\n",
       "\\item 'NT5E'\n",
       "\\item 'PCNA'\n",
       "\\item 'PDCD1LG2'\n",
       "\\item 'PDGFB'\n",
       "\\item 'PDGFRA'\n",
       "\\item 'PDGFRB'\n",
       "\\item 'PDPN'\n",
       "\\item 'PECAM1'\n",
       "\\item 'PRDM1'\n",
       "\\item 'PRF1'\n",
       "\\item 'PSMB8'\n",
       "\\item 'PSMB9'\n",
       "\\item 'PTPRC'\n",
       "\\item 'RORA'\n",
       "\\item 'S100A8'\n",
       "\\item 'S100A9'\n",
       "\\item 'SELL'\n",
       "\\item 'SERPINA1'\n",
       "\\item 'SFRP2'\n",
       "\\item 'SMARCA4'\n",
       "\\item 'SOD2'\n",
       "\\item 'SPP1'\n",
       "\\item 'SPRY4'\n",
       "\\item 'STAT1'\n",
       "\\item 'STING1'\n",
       "\\item 'STMN1'\n",
       "\\item 'TAP1'\n",
       "\\item 'TCF7'\n",
       "\\item 'TGFB1'\n",
       "\\item 'TGFB3'\n",
       "\\item 'TGFBR1'\n",
       "\\item 'TGFBR2'\n",
       "\\item 'THY1'\n",
       "\\item 'TIGIT'\n",
       "\\item 'TNFRSF13B'\n",
       "\\item 'TNFRSF1A'\n",
       "\\item 'TNFRSF1B'\n",
       "\\item 'TNFRSF25'\n",
       "\\item 'TNFRSF9'\n",
       "\\item 'TNFSF13B'\n",
       "\\item 'TOP2A'\n",
       "\\item 'TOX'\n",
       "\\item 'TRAC'\n",
       "\\item 'UBE2C'\n",
       "\\item 'VCAM1'\n",
       "\\item 'VCAN'\n",
       "\\item 'VEGFA'\n",
       "\\item 'VEGFB'\n",
       "\\item 'VEGFC'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'ACTA2'\n",
       "2. 'ANXA1'\n",
       "3. 'AXL'\n",
       "4. 'BATF'\n",
       "5. 'BIRC3'\n",
       "6. 'C1QA'\n",
       "7. 'C1QB'\n",
       "8. 'CCL13'\n",
       "9. 'CCL18'\n",
       "10. 'CCL19'\n",
       "11. 'CCL2'\n",
       "12. 'CCL21'\n",
       "13. 'CCL4'\n",
       "14. 'CCL5'\n",
       "15. 'CCL8'\n",
       "16. 'CCND1'\n",
       "17. 'CCR4'\n",
       "18. 'CCR5'\n",
       "19. 'CCR7'\n",
       "20. 'CD14'\n",
       "21. 'CD163'\n",
       "22. 'CD19'\n",
       "23. 'CD2'\n",
       "24. 'CD247'\n",
       "25. 'CD27'\n",
       "26. 'CD274'\n",
       "27. 'CD34'\n",
       "28. 'CD38'\n",
       "29. 'CD3D'\n",
       "30. 'CD3E'\n",
       "31. 'CD4'\n",
       "32. 'CD40'\n",
       "33. 'CD69'\n",
       "34. 'CD7'\n",
       "35. 'CD74'\n",
       "36. 'CD79A'\n",
       "37. 'CD8A'\n",
       "38. 'COL1A2'\n",
       "39. 'COL3A1'\n",
       "40. 'CPA3'\n",
       "41. 'CSF1'\n",
       "42. 'CSF1R'\n",
       "43. 'CSF2RB'\n",
       "44. 'CSF3R'\n",
       "45. 'CTLA4'\n",
       "46. 'CXCL1'\n",
       "47. 'CXCL10'\n",
       "48. 'CXCL11'\n",
       "49. 'CXCL12'\n",
       "50. 'CXCL13'\n",
       "51. 'CXCL14'\n",
       "52. 'CXCL16'\n",
       "53. 'CXCL2'\n",
       "54. 'CXCL3'\n",
       "55. 'CXCL5'\n",
       "56. 'CXCL8'\n",
       "57. 'CXCL9'\n",
       "58. 'CXCR4'\n",
       "59. 'DUSP6'\n",
       "60. 'EGR1'\n",
       "61. 'FAP'\n",
       "62. 'FAS'\n",
       "63. 'FLT3LG'\n",
       "64. 'FN1'\n",
       "65. 'FOS'\n",
       "66. 'GAS1'\n",
       "67. 'GBP1'\n",
       "68. 'GBP4'\n",
       "69. 'GNLY'\n",
       "70. 'GZMA'\n",
       "71. 'GZMK'\n",
       "72. 'HAVCR2'\n",
       "73. 'HCK'\n",
       "74. 'HIF1A'\n",
       "75. 'HLA-C'\n",
       "76. 'HLA-DRA'\n",
       "77. 'HLA-E'\n",
       "78. 'HSPA1A'\n",
       "79. 'ICAM1'\n",
       "80. 'ID2'\n",
       "81. 'IDO1'\n",
       "82. 'IFNAR2'\n",
       "83. 'IFNGR1'\n",
       "84. 'IFNGR2'\n",
       "85. 'IGFBP3'\n",
       "86. 'IL18'\n",
       "87. 'IL1B'\n",
       "88. 'IL1R1'\n",
       "89. 'IL1RAP'\n",
       "90. 'IL1RN'\n",
       "91. 'IL2RA'\n",
       "92. 'IL2RB'\n",
       "93. 'IL2RG'\n",
       "94. 'IL32'\n",
       "95. 'IL6'\n",
       "96. 'IL6R'\n",
       "97. 'IL7R'\n",
       "98. 'INHBA'\n",
       "99. 'IRF8'\n",
       "100. 'ISG15'\n",
       "101. 'ITGA1'\n",
       "102. 'ITGA5'\n",
       "103. 'ITGAX'\n",
       "104. 'ITGB7'\n",
       "105. 'JAG1'\n",
       "106. 'JUN'\n",
       "107. 'JUNB'\n",
       "108. 'KDR'\n",
       "109. 'KLRG1'\n",
       "110. 'LAG3'\n",
       "111. 'LAMB3'\n",
       "112. 'LAMP3'\n",
       "113. 'LEF1'\n",
       "114. 'LILRB2'\n",
       "115. 'LY6E'\n",
       "116. 'LYZ'\n",
       "117. 'MARCO'\n",
       "118. 'MERTK'\n",
       "119. 'MET'\n",
       "120. 'MKI67'\n",
       "121. 'MMP1'\n",
       "122. 'MMP9'\n",
       "123. 'MRC1'\n",
       "124. 'MS4A1'\n",
       "125. 'MX1'\n",
       "126. 'NOTCH1'\n",
       "127. 'NOTCH2'\n",
       "128. 'NOTCH3'\n",
       "129. 'NT5E'\n",
       "130. 'PCNA'\n",
       "131. 'PDCD1LG2'\n",
       "132. 'PDGFB'\n",
       "133. 'PDGFRA'\n",
       "134. 'PDGFRB'\n",
       "135. 'PDPN'\n",
       "136. 'PECAM1'\n",
       "137. 'PRDM1'\n",
       "138. 'PRF1'\n",
       "139. 'PSMB8'\n",
       "140. 'PSMB9'\n",
       "141. 'PTPRC'\n",
       "142. 'RORA'\n",
       "143. 'S100A8'\n",
       "144. 'S100A9'\n",
       "145. 'SELL'\n",
       "146. 'SERPINA1'\n",
       "147. 'SFRP2'\n",
       "148. 'SMARCA4'\n",
       "149. 'SOD2'\n",
       "150. 'SPP1'\n",
       "151. 'SPRY4'\n",
       "152. 'STAT1'\n",
       "153. 'STING1'\n",
       "154. 'STMN1'\n",
       "155. 'TAP1'\n",
       "156. 'TCF7'\n",
       "157. 'TGFB1'\n",
       "158. 'TGFB3'\n",
       "159. 'TGFBR1'\n",
       "160. 'TGFBR2'\n",
       "161. 'THY1'\n",
       "162. 'TIGIT'\n",
       "163. 'TNFRSF13B'\n",
       "164. 'TNFRSF1A'\n",
       "165. 'TNFRSF1B'\n",
       "166. 'TNFRSF25'\n",
       "167. 'TNFRSF9'\n",
       "168. 'TNFSF13B'\n",
       "169. 'TOP2A'\n",
       "170. 'TOX'\n",
       "171. 'TRAC'\n",
       "172. 'UBE2C'\n",
       "173. 'VCAM1'\n",
       "174. 'VCAN'\n",
       "175. 'VEGFA'\n",
       "176. 'VEGFB'\n",
       "177. 'VEGFC'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  [1] \"ACTA2\"     \"ANXA1\"     \"AXL\"       \"BATF\"      \"BIRC3\"     \"C1QA\"     \n",
       "  [7] \"C1QB\"      \"CCL13\"     \"CCL18\"     \"CCL19\"     \"CCL2\"      \"CCL21\"    \n",
       " [13] \"CCL4\"      \"CCL5\"      \"CCL8\"      \"CCND1\"     \"CCR4\"      \"CCR5\"     \n",
       " [19] \"CCR7\"      \"CD14\"      \"CD163\"     \"CD19\"      \"CD2\"       \"CD247\"    \n",
       " [25] \"CD27\"      \"CD274\"     \"CD34\"      \"CD38\"      \"CD3D\"      \"CD3E\"     \n",
       " [31] \"CD4\"       \"CD40\"      \"CD69\"      \"CD7\"       \"CD74\"      \"CD79A\"    \n",
       " [37] \"CD8A\"      \"COL1A2\"    \"COL3A1\"    \"CPA3\"      \"CSF1\"      \"CSF1R\"    \n",
       " [43] \"CSF2RB\"    \"CSF3R\"     \"CTLA4\"     \"CXCL1\"     \"CXCL10\"    \"CXCL11\"   \n",
       " [49] \"CXCL12\"    \"CXCL13\"    \"CXCL14\"    \"CXCL16\"    \"CXCL2\"     \"CXCL3\"    \n",
       " [55] \"CXCL5\"     \"CXCL8\"     \"CXCL9\"     \"CXCR4\"     \"DUSP6\"     \"EGR1\"     \n",
       " [61] \"FAP\"       \"FAS\"       \"FLT3LG\"    \"FN1\"       \"FOS\"       \"GAS1\"     \n",
       " [67] \"GBP1\"      \"GBP4\"      \"GNLY\"      \"GZMA\"      \"GZMK\"      \"HAVCR2\"   \n",
       " [73] \"HCK\"       \"HIF1A\"     \"HLA-C\"     \"HLA-DRA\"   \"HLA-E\"     \"HSPA1A\"   \n",
       " [79] \"ICAM1\"     \"ID2\"       \"IDO1\"      \"IFNAR2\"    \"IFNGR1\"    \"IFNGR2\"   \n",
       " [85] \"IGFBP3\"    \"IL18\"      \"IL1B\"      \"IL1R1\"     \"IL1RAP\"    \"IL1RN\"    \n",
       " [91] \"IL2RA\"     \"IL2RB\"     \"IL2RG\"     \"IL32\"      \"IL6\"       \"IL6R\"     \n",
       " [97] \"IL7R\"      \"INHBA\"     \"IRF8\"      \"ISG15\"     \"ITGA1\"     \"ITGA5\"    \n",
       "[103] \"ITGAX\"     \"ITGB7\"     \"JAG1\"      \"JUN\"       \"JUNB\"      \"KDR\"      \n",
       "[109] \"KLRG1\"     \"LAG3\"      \"LAMB3\"     \"LAMP3\"     \"LEF1\"      \"LILRB2\"   \n",
       "[115] \"LY6E\"      \"LYZ\"       \"MARCO\"     \"MERTK\"     \"MET\"       \"MKI67\"    \n",
       "[121] \"MMP1\"      \"MMP9\"      \"MRC1\"      \"MS4A1\"     \"MX1\"       \"NOTCH1\"   \n",
       "[127] \"NOTCH2\"    \"NOTCH3\"    \"NT5E\"      \"PCNA\"      \"PDCD1LG2\"  \"PDGFB\"    \n",
       "[133] \"PDGFRA\"    \"PDGFRB\"    \"PDPN\"      \"PECAM1\"    \"PRDM1\"     \"PRF1\"     \n",
       "[139] \"PSMB8\"     \"PSMB9\"     \"PTPRC\"     \"RORA\"      \"S100A8\"    \"S100A9\"   \n",
       "[145] \"SELL\"      \"SERPINA1\"  \"SFRP2\"     \"SMARCA4\"   \"SOD2\"      \"SPP1\"     \n",
       "[151] \"SPRY4\"     \"STAT1\"     \"STING1\"    \"STMN1\"     \"TAP1\"      \"TCF7\"     \n",
       "[157] \"TGFB1\"     \"TGFB3\"     \"TGFBR1\"    \"TGFBR2\"    \"THY1\"      \"TIGIT\"    \n",
       "[163] \"TNFRSF13B\" \"TNFRSF1A\"  \"TNFRSF1B\"  \"TNFRSF25\"  \"TNFRSF9\"   \"TNFSF13B\" \n",
       "[169] \"TOP2A\"     \"TOX\"       \"TRAC\"      \"UBE2C\"     \"VCAM1\"     \"VCAN\"     \n",
       "[175] \"VEGFA\"     \"VEGFB\"     \"VEGFC\"    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "genes_common"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "07f4264a-28fa-46ce-b4fd-b33d2778ce26",
   "metadata": {},
   "source": [
    "# Diff Exp stats"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "afe1ef55-f72c-4ea8-b008-1731ad8a27ac",
   "metadata": {},
   "source": [
    "## geomx"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a2b3d2b0-8a4e-4cee-93e9-39b378be778c",
   "metadata": {},
   "source": [
    "### lmer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f3c6c567-4207-4de1-abff-5c5476f454d1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# genes_use <- geomx_df[, sum(above_LOQ), by = FeatureName][V1 >= 3, FeatureName]\n",
    "# # genes_use = genes_common\n",
    "\n",
    "# foo = function(data_df) {\n",
    "#     h0 = lmer(y ~ 1 + (1 + ROI_Type|Slide_ID), data_df, REML = FALSE)\n",
    "#     h1 = lmer(y ~ 1 + ROI_Type + (1 + ROI_Type|Slide_ID), data_df, REML = FALSE)\n",
    "#     beta = fixef(h1)[['ROI_Typehybrid hub']]\n",
    "#     pval = anova(h0, h1)['h1', 'Pr(>Chisq)']\n",
    "#     data.table(beta = beta, pval = pval)\n",
    "    \n",
    "# }\n",
    "\n",
    "# res_geomx = geomx_df[\n",
    "#     FeatureName %in% genes_use, foo(.SD), by = FeatureName\n",
    "# ][\n",
    "#     , fdr := p.adjust(pval, 'BH')\n",
    "# ][\n",
    "#     order(-beta)\n",
    "# ]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f73f5d6c-2dd4-4384-b3a1-a69adc8249e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# table(res_geomx$fdr < .05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "14cfbf2b-f450-4270-9d1d-a63fdf980882",
   "metadata": {},
   "outputs": [],
   "source": [
    "# res_geomx[order(sign(beta) * log(pval))] %>% head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c6ad74fd-ae66-451a-a6e1-18ea9eb23d0d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# fig.size(5, 8)\n",
    "# res_geomx %>% \n",
    "#     ggplot(aes(beta, -log10(pval))) + \n",
    "#         geom_point(aes(color = fdr < .05)) + \n",
    "#         scale_color_manual(values = c('black', 'red')) + \n",
    "#         NULL\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "f77cbaf7-0228-4af7-b605-40af14bccc43",
   "metadata": {},
   "outputs": [],
   "source": [
    "# res_geomx[, z := sign(beta) * abs(qnorm(pval / 2, lower.tail = TRUE))]\n",
    "# geomx_fc[, z := sign(FC) * abs(qnorm(p_value / 2, lower.tail = TRUE))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "acac5374-578e-418f-aff9-87212583a982",
   "metadata": {},
   "outputs": [],
   "source": [
    "# g = c(\n",
    "#     res_geomx %>% subset(fdr < .2) %>% arrange(-beta) %>% head(10) %>% with(FeatureName),\n",
    "#     res_geomx %>% subset(fdr < .2) %>% arrange(beta) %>% head(10) %>% with(FeatureName),\n",
    "#     res_geomx %>% subset(fdr < .2) %>% arrange(-z) %>% head(10) %>% with(FeatureName),\n",
    "#     res_geomx %>% subset(fdr < .2) %>% arrange(z) %>% head(10) %>% with(FeatureName)\n",
    "# ) %>% \n",
    "# unique()\n",
    "\n",
    "\n",
    "# fig.size(5, 8)\n",
    "# res_geomx %>% \n",
    "#     ggplot(aes(beta, -log10(pval))) + \n",
    "#         geom_point(\n",
    "#             size = .5,\n",
    "#             alpha = .3\n",
    "#         ) + \n",
    "#         geom_point(\n",
    "#             data = . %>% subset(FeatureName %in% g),\n",
    "#             size = .5,\n",
    "#             color = 'red'\n",
    "#         ) + \n",
    "#         geom_text_repel(\n",
    "#             data = . %>% subset(FeatureName %in% g),\n",
    "#             aes(label = FeatureName),\n",
    "#             box.padding = .5,\n",
    "#             max.overlaps = Inf\n",
    "#         ) + \n",
    "#         NULL\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "888fa6b6-ebae-4f65-8378-20a6d1994c99",
   "metadata": {},
   "source": [
    "### compare to prev"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14637469-45af-46d3-9cdc-dcab8cd8ecb5",
   "metadata": {},
   "source": [
    "Fold changes are the same but signifance is different. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d1bd6aa4-b76b-4f9d-a640-ffab7cb52086",
   "metadata": {},
   "outputs": [],
   "source": [
    "# fig.size(5, 8)\n",
    "# inner_join(res_geomx, geomx_fc, by = c('FeatureName' = 'Gene'), suffix = c('_new', '_old')) %>% \n",
    "#     # ggplot(aes(z_new, z_old)) + \n",
    "#     ggplot(aes(beta, FC)) + \n",
    "#         geom_abline() + \n",
    "#         geom_hline(yintercept = 0, linetype = 2) + \n",
    "#         geom_vline(xintercept = 0, linetype = 2) + \n",
    "#         geom_point() + \n",
    "#         labs(x = 'Slope in RE', y = 'No slope in RE') + \n",
    "#         NULL\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "11e39190-7c9d-4fb4-a389-db627aa6b02c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# fig.size(5, 8)\n",
    "# inner_join(res_geomx, geomx_fc, by = c('FeatureName' = 'Gene'), suffix = c('_new', '_old')) %>% \n",
    "#     ggplot(aes(z_new, z_old)) + \n",
    "#     # ggplot(aes(beta, FC)) + \n",
    "#         geom_abline() + \n",
    "#         geom_hline(yintercept = 0, linetype = 2) + \n",
    "#         geom_vline(xintercept = 0, linetype = 2) + \n",
    "#         geom_point() + \n",
    "#         labs(x = 'Slope in RE', y = 'No slope in RE') + \n",
    "#         NULL\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "263c6d9e-1515-4eb9-84f2-d410740a03b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# res[FeatureName %in% genes_common]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cab867aa-31a7-4702-8d03-e7ea4b7ebc6c",
   "metadata": {},
   "source": [
    "## vizgen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "7edde642-f89a-49a4-ab96-5b8804400d51",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: MASS\n",
      "\n",
      "\n",
      "Attaching package: ‘MASS’\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:patchwork’:\n",
      "\n",
      "    area\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:dplyr’:\n",
      "\n",
      "    select\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:spatstat.geom’:\n",
      "\n",
      "    area\n",
      "\n",
      "\n",
      "\n",
      "arm (Version 1.13-1, built: 2022-8-25)\n",
      "\n",
      "\n",
      "Working directory is /n/data1/bwh/medicine/korsunsky/lab/ik97/NirMerfish\n",
      "\n",
      "\n",
      "\n",
      "Attaching package: ‘arm’\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:spatstat.geom’:\n",
      "\n",
      "    rescale\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:scales’:\n",
      "\n",
      "    rescale\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "library(presto)\n",
    "library(lme4)\n",
    "library(furrr)\n",
    "library(future)\n",
    "library(arm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "d6995018-73c8-42de-bd62-25975fcc941a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# pb <- presto::collapse_counts(obj$counts[, meta_data$ID], meta_data, c('library', 'region_type', 'hubID'))\n",
    "# # pb$meta_data$is_hh = 1 * (pb$meta_data$region_type == 'hybrid_hub')\n",
    "# pb$meta_data$region_type <- factor(pb$meta_data$region_type, c('immune_hub', 'hybrid_hub'))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7cf8978-6080-410b-ba5d-74b866e7331b",
   "metadata": {},
   "source": [
    "### Fixed effect"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "30e08edb-0ac0-45a4-a3fc-8f1657def256",
   "metadata": {},
   "outputs": [],
   "source": [
    "obj$meta_data$logUMI = log(colSums(obj$counts))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "4f319f31-adcf-4118-bd79-51a12db81a29",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n",
      "boundary (singular) fit: see help('isSingular')\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# plan(sequential)\n",
    "plan(multicore)\n",
    "res_merfish = future_map(genes_common, function(gene_test) {\n",
    "    # data_df = cbind(st_drop_geometry(obj$meta_data), y = obj$counts[gene_test, ]) \n",
    "    # data_df = cbind(obj$meta_data, y = obj$counts[gene_test, ]) \n",
    "    data_df = cbind(st_drop_geometry(obj$meta_data), y = obj$counts[gene_test, ]) %>% \n",
    "        subset(hubType %in% c('hybrid_hub', 'immune_hub')) %>% \n",
    "        dplyr::mutate(hubType = factor(hubType, c('immune_hub', 'hybrid_hub')))\n",
    "    \n",
    "    tryCatch({\n",
    "        h0 = glmer(\n",
    "            y ~ 1 + (1 + hubType | library) + offset(logUMI), \n",
    "            data_df, 'poisson'\n",
    "        )\n",
    "        h1 = glmer(\n",
    "            y ~ 1 + hubType + (1 + hubType | library) + offset(logUMI), \n",
    "            data_df, 'poisson'\n",
    "        )\n",
    "        beta = fixef(h1)[['hubTypehybrid_hub']]\n",
    "        pval = anova(h0, h1)['h1', 'Pr(>Chisq)']\n",
    "        data.table(gene = gene_test, beta = beta, pval = pval)\n",
    "    }, error = function(e) {\n",
    "        message(glue('Failed on {gene_test}'))\n",
    "        data.table(gene = gene_test, beta = NA, pval = NA)\n",
    "    })\n",
    "}) %>% \n",
    "    rbindlist()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "197b0950-7dd4-4ce7-8a7e-5d106a942f9d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# plan(multicore)\n",
    "# res_merfish = future_map(genes_common, function(gene_test) {\n",
    "#     data_df = cbind(pb$meta_data, y = pb$counts_mat[gene_test, ])    \n",
    "#     h0 = glmer(\n",
    "#         y ~ 1 + (1 + region_type | library) + offset(logUMI), \n",
    "#         data_df, 'poisson'\n",
    "#     )\n",
    "#     h1 = glmer(\n",
    "#         y ~ 1 + region_type + (1 + region_type | library) + offset(logUMI), \n",
    "#         data_df, 'poisson'\n",
    "#     )\n",
    "#     beta = fixef(h1)[['region_typehybrid_hub']]\n",
    "#     pval = anova(h0, h1)['h1', 'Pr(>Chisq)']\n",
    "#     data.table(gene = gene_test, beta = beta, pval = pval)\n",
    "# }) %>% \n",
    "#     rbindlist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "16e36566-218a-4494-82bb-f8095d26967c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.table: 6 × 5</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>gene</th><th scope=col>beta</th><th scope=col>pval</th><th scope=col>fdr</th><th scope=col>logFC</th></tr>\n",
       "\t<tr><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></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>ACTA2</td><td>-0.1891726</td><td>0.418667920</td><td>0.50070420</td><td>-0.2729184</td></tr>\n",
       "\t<tr><td>ANXA1</td><td>-0.7158425</td><td>0.002115722</td><td>0.02340518</td><td>-1.0327424</td></tr>\n",
       "\t<tr><td>AXL  </td><td>-0.2821548</td><td>0.089553942</td><td>0.14027476</td><td>-0.4070634</td></tr>\n",
       "\t<tr><td>BATF </td><td> 0.3048547</td><td>0.039227024</td><td>0.07489613</td><td> 0.4398124</td></tr>\n",
       "\t<tr><td>BIRC3</td><td> 0.2419706</td><td>0.103205677</td><td>0.15613167</td><td> 0.3490897</td></tr>\n",
       "\t<tr><td>C1QA </td><td>-0.1403948</td><td>0.023550018</td><td>0.05392346</td><td>-0.2025469</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.table: 6 × 5\n",
       "\\begin{tabular}{lllll}\n",
       " gene & beta & pval & fdr & logFC\\\\\n",
       " <chr> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t ACTA2 & -0.1891726 & 0.418667920 & 0.50070420 & -0.2729184\\\\\n",
       "\t ANXA1 & -0.7158425 & 0.002115722 & 0.02340518 & -1.0327424\\\\\n",
       "\t AXL   & -0.2821548 & 0.089553942 & 0.14027476 & -0.4070634\\\\\n",
       "\t BATF  &  0.3048547 & 0.039227024 & 0.07489613 &  0.4398124\\\\\n",
       "\t BIRC3 &  0.2419706 & 0.103205677 & 0.15613167 &  0.3490897\\\\\n",
       "\t C1QA  & -0.1403948 & 0.023550018 & 0.05392346 & -0.2025469\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.table: 6 × 5\n",
       "\n",
       "| gene &lt;chr&gt; | beta &lt;dbl&gt; | pval &lt;dbl&gt; | fdr &lt;dbl&gt; | logFC &lt;dbl&gt; |\n",
       "|---|---|---|---|---|\n",
       "| ACTA2 | -0.1891726 | 0.418667920 | 0.50070420 | -0.2729184 |\n",
       "| ANXA1 | -0.7158425 | 0.002115722 | 0.02340518 | -1.0327424 |\n",
       "| AXL   | -0.2821548 | 0.089553942 | 0.14027476 | -0.4070634 |\n",
       "| BATF  |  0.3048547 | 0.039227024 | 0.07489613 |  0.4398124 |\n",
       "| BIRC3 |  0.2419706 | 0.103205677 | 0.15613167 |  0.3490897 |\n",
       "| C1QA  | -0.1403948 | 0.023550018 | 0.05392346 | -0.2025469 |\n",
       "\n"
      ],
      "text/plain": [
       "  gene  beta       pval        fdr        logFC     \n",
       "1 ACTA2 -0.1891726 0.418667920 0.50070420 -0.2729184\n",
       "2 ANXA1 -0.7158425 0.002115722 0.02340518 -1.0327424\n",
       "3 AXL   -0.2821548 0.089553942 0.14027476 -0.4070634\n",
       "4 BATF   0.3048547 0.039227024 0.07489613  0.4398124\n",
       "5 BIRC3  0.2419706 0.103205677 0.15613167  0.3490897\n",
       "6 C1QA  -0.1403948 0.023550018 0.05392346 -0.2025469"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_merfish$fdr <- p.adjust(res_merfish$pval, 'BH')\n",
    "head(res_merfish)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "ab174f54-caa3-4858-b989-b7ced994e703",
   "metadata": {},
   "outputs": [],
   "source": [
    "# res_merfish %>% \n",
    "#     arrange(fdr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "d3e3ac47-d13d-44fa-813f-f4e2dfc37f02",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.table: 1 × 5</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>gene</th><th scope=col>beta</th><th scope=col>pval</th><th scope=col>fdr</th><th scope=col>logFC</th></tr>\n",
       "\t<tr><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></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>CCL19</td><td>1.628037</td><td>0.005649348</td><td>0.02942039</td><td>2.34876</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.table: 1 × 5\n",
       "\\begin{tabular}{lllll}\n",
       " gene & beta & pval & fdr & logFC\\\\\n",
       " <chr> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t CCL19 & 1.628037 & 0.005649348 & 0.02942039 & 2.34876\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.table: 1 × 5\n",
       "\n",
       "| gene &lt;chr&gt; | beta &lt;dbl&gt; | pval &lt;dbl&gt; | fdr &lt;dbl&gt; | logFC &lt;dbl&gt; |\n",
       "|---|---|---|---|---|\n",
       "| CCL19 | 1.628037 | 0.005649348 | 0.02942039 | 2.34876 |\n",
       "\n"
      ],
      "text/plain": [
       "  gene  beta     pval        fdr        logFC  \n",
       "1 CCL19 1.628037 0.005649348 0.02942039 2.34876"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res_merfish <- res_merfish %>% \n",
    "    dplyr::mutate(\n",
    "        logFC = sign(beta) * log2(exp(abs(beta))),\n",
    "    ) \n",
    "res_merfish %>% \n",
    "    subset(gene == 'CCL19')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "53b85dab-ae65-4595-8cee-6d447bdc1421",
   "metadata": {},
   "source": [
    "### Random effect"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "7bc4c0b8-5db9-405a-a21d-8a2c3ff33ab9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# system.time({\n",
    "#     suppressWarnings({\n",
    "#         presto_res <- presto.presto(\n",
    "#             # y ~ 1 + region_type + (1 + region_type|library) + offset(logUMI), \n",
    "#             y ~ 1 + (1|region_type) + (1|region_type:library) + (1|library) + offset(logUMI), \n",
    "#             pb$meta_data, \n",
    "#             pb$counts_mat,\n",
    "#             size_varname = 'logUMI', \n",
    "#             effects_cov = c('region_type'),\n",
    "#             # features = c('CCL19', 'CXCR4'), \n",
    "#             features = genes_common, \n",
    "#             # effects_cov = c('cluster', 'cluster:library', 'library'),\n",
    "#             ncore = 20, \n",
    "#             min_sigma = .05, ## to avoid numerical instability from REs with 0 variance \n",
    "#             family = 'poisson',\n",
    "#             nsim = 1000\n",
    "#         ) \n",
    "#     })\n",
    "# })\n",
    "\n",
    "\n",
    "# contrasts_mat <- make_contrast.presto(presto_res, 'region_type')\n",
    "# res_merfish <- contrasts.presto(presto_res, contrasts_mat, one_tailed = TRUE) %>% \n",
    "#     dplyr::mutate(region_type = contrast) %>% \n",
    "#     dplyr::mutate(\n",
    "#         ## convert stats to log2 for interpretability \n",
    "#         logFC = sign(beta) * log2(exp(abs(beta))),\n",
    "#         SD = log2(exp(sigma)),\n",
    "#         zscore = logFC / SD\n",
    "#     ) %>% \n",
    "#     dplyr::select(region_type, feature, logFC, SD, zscore, pvalue) %>% \n",
    "#     subset(region_type == 'hybrid_hub') %>% \n",
    "#     arrange(pvalue)\n",
    "\n",
    "\n",
    "# head(res_merfish)\n",
    "\n",
    "# res_merfish %>% subset(feature == 'CCL19')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0bcf252-f1b1-4ffb-8d6a-2876085c3522",
   "metadata": {},
   "source": [
    "## Compare"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "9397a99f-a5fe-40aa-8750-2f73fea371ba",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt_df <- inner_join(\n",
    "    dplyr::select(res_merfish, gene, logFC, fdr = fdr), ## FE\n",
    "    # dplyr::select(res_merfish, gene = feature, logFC, zscore, padj = pvalue), ## RE\n",
    "    # dplyr::select(res_geomx, gene = FeatureName, logFC = beta, padj = fdr), \n",
    "    dplyr::select(geomx_fc, gene = Gene, logFC = FC, fdr = FDR), \n",
    "    by = 'gene', \n",
    "    suffix = c('_merfish', '_geomx')\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "c533ee48-6b67-4d8c-9285-09c677a4c234",
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt_df %>% arrange(-logFC_merfish * logFC_geomx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "74212d37-3b04-4b11-9d6b-b3d7688e028d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt_df %>% \n",
    "#     subset(padj_merfish < .05 | padj_geomx < .05) %>% \n",
    "#     arrange(logFC_merfish * logFC_geomx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "2cdcf1cb-a037-4485-8a26-201cbf98c4e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.table: 6 × 5</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>gene</th><th scope=col>logFC_merfish</th><th scope=col>fdr_merfish</th><th scope=col>logFC_geomx</th><th scope=col>fdr_geomx</th></tr>\n",
       "\t<tr><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></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>ACTA2</td><td>-0.2729184</td><td>0.50070420</td><td>-0.07729665</td><td>3.680631e-01</td></tr>\n",
       "\t<tr><td>ANXA1</td><td>-1.0327424</td><td>0.02340518</td><td>-0.53127550</td><td>5.657196e-16</td></tr>\n",
       "\t<tr><td>AXL  </td><td>-0.4070634</td><td>0.14027476</td><td>-0.25259853</td><td>2.700139e-10</td></tr>\n",
       "\t<tr><td>BATF </td><td> 0.4398124</td><td>0.07489613</td><td> 0.13655894</td><td>1.640906e-07</td></tr>\n",
       "\t<tr><td>BIRC3</td><td> 0.3490897</td><td>0.15613167</td><td> 0.09691654</td><td>1.895061e-01</td></tr>\n",
       "\t<tr><td>C1QA </td><td>-0.2025469</td><td>0.05392346</td><td>-0.43088797</td><td>9.445541e-05</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.table: 6 × 5\n",
       "\\begin{tabular}{lllll}\n",
       " gene & logFC\\_merfish & fdr\\_merfish & logFC\\_geomx & fdr\\_geomx\\\\\n",
       " <chr> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t ACTA2 & -0.2729184 & 0.50070420 & -0.07729665 & 3.680631e-01\\\\\n",
       "\t ANXA1 & -1.0327424 & 0.02340518 & -0.53127550 & 5.657196e-16\\\\\n",
       "\t AXL   & -0.4070634 & 0.14027476 & -0.25259853 & 2.700139e-10\\\\\n",
       "\t BATF  &  0.4398124 & 0.07489613 &  0.13655894 & 1.640906e-07\\\\\n",
       "\t BIRC3 &  0.3490897 & 0.15613167 &  0.09691654 & 1.895061e-01\\\\\n",
       "\t C1QA  & -0.2025469 & 0.05392346 & -0.43088797 & 9.445541e-05\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.table: 6 × 5\n",
       "\n",
       "| gene &lt;chr&gt; | logFC_merfish &lt;dbl&gt; | fdr_merfish &lt;dbl&gt; | logFC_geomx &lt;dbl&gt; | fdr_geomx &lt;dbl&gt; |\n",
       "|---|---|---|---|---|\n",
       "| ACTA2 | -0.2729184 | 0.50070420 | -0.07729665 | 3.680631e-01 |\n",
       "| ANXA1 | -1.0327424 | 0.02340518 | -0.53127550 | 5.657196e-16 |\n",
       "| AXL   | -0.4070634 | 0.14027476 | -0.25259853 | 2.700139e-10 |\n",
       "| BATF  |  0.4398124 | 0.07489613 |  0.13655894 | 1.640906e-07 |\n",
       "| BIRC3 |  0.3490897 | 0.15613167 |  0.09691654 | 1.895061e-01 |\n",
       "| C1QA  | -0.2025469 | 0.05392346 | -0.43088797 | 9.445541e-05 |\n",
       "\n"
      ],
      "text/plain": [
       "  gene  logFC_merfish fdr_merfish logFC_geomx fdr_geomx   \n",
       "1 ACTA2 -0.2729184    0.50070420  -0.07729665 3.680631e-01\n",
       "2 ANXA1 -1.0327424    0.02340518  -0.53127550 5.657196e-16\n",
       "3 AXL   -0.4070634    0.14027476  -0.25259853 2.700139e-10\n",
       "4 BATF   0.4398124    0.07489613   0.13655894 1.640906e-07\n",
       "5 BIRC3  0.3490897    0.15613167   0.09691654 1.895061e-01\n",
       "6 C1QA  -0.2025469    0.05392346  -0.43088797 9.445541e-05"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(plt_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "cf392991-3f5f-43df-bcca-2212e1c67521",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.table: 6 × 5</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>gene</th><th scope=col>logFC_merfish</th><th scope=col>fdr_merfish</th><th scope=col>logFC_geomx</th><th scope=col>fdr_geomx</th></tr>\n",
       "\t<tr><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></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>ACTA2</td><td>-0.2729184</td><td>0.50070420</td><td>-0.07729665</td><td>3.680631e-01</td></tr>\n",
       "\t<tr><td>ANXA1</td><td>-1.0327424</td><td>0.02340518</td><td>-0.53127550</td><td>5.657196e-16</td></tr>\n",
       "\t<tr><td>AXL  </td><td>-0.4070634</td><td>0.14027476</td><td>-0.25259853</td><td>2.700139e-10</td></tr>\n",
       "\t<tr><td>BATF </td><td> 0.4398124</td><td>0.07489613</td><td> 0.13655894</td><td>1.640906e-07</td></tr>\n",
       "\t<tr><td>BIRC3</td><td> 0.3490897</td><td>0.15613167</td><td> 0.09691654</td><td>1.895061e-01</td></tr>\n",
       "\t<tr><td>C1QA </td><td>-0.2025469</td><td>0.05392346</td><td>-0.43088797</td><td>9.445541e-05</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.table: 6 × 5\n",
       "\\begin{tabular}{lllll}\n",
       " gene & logFC\\_merfish & fdr\\_merfish & logFC\\_geomx & fdr\\_geomx\\\\\n",
       " <chr> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t ACTA2 & -0.2729184 & 0.50070420 & -0.07729665 & 3.680631e-01\\\\\n",
       "\t ANXA1 & -1.0327424 & 0.02340518 & -0.53127550 & 5.657196e-16\\\\\n",
       "\t AXL   & -0.4070634 & 0.14027476 & -0.25259853 & 2.700139e-10\\\\\n",
       "\t BATF  &  0.4398124 & 0.07489613 &  0.13655894 & 1.640906e-07\\\\\n",
       "\t BIRC3 &  0.3490897 & 0.15613167 &  0.09691654 & 1.895061e-01\\\\\n",
       "\t C1QA  & -0.2025469 & 0.05392346 & -0.43088797 & 9.445541e-05\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.table: 6 × 5\n",
       "\n",
       "| gene &lt;chr&gt; | logFC_merfish &lt;dbl&gt; | fdr_merfish &lt;dbl&gt; | logFC_geomx &lt;dbl&gt; | fdr_geomx &lt;dbl&gt; |\n",
       "|---|---|---|---|---|\n",
       "| ACTA2 | -0.2729184 | 0.50070420 | -0.07729665 | 3.680631e-01 |\n",
       "| ANXA1 | -1.0327424 | 0.02340518 | -0.53127550 | 5.657196e-16 |\n",
       "| AXL   | -0.4070634 | 0.14027476 | -0.25259853 | 2.700139e-10 |\n",
       "| BATF  |  0.4398124 | 0.07489613 |  0.13655894 | 1.640906e-07 |\n",
       "| BIRC3 |  0.3490897 | 0.15613167 |  0.09691654 | 1.895061e-01 |\n",
       "| C1QA  | -0.2025469 | 0.05392346 | -0.43088797 | 9.445541e-05 |\n",
       "\n"
      ],
      "text/plain": [
       "  gene  logFC_merfish fdr_merfish logFC_geomx fdr_geomx   \n",
       "1 ACTA2 -0.2729184    0.50070420  -0.07729665 3.680631e-01\n",
       "2 ANXA1 -1.0327424    0.02340518  -0.53127550 5.657196e-16\n",
       "3 AXL   -0.4070634    0.14027476  -0.25259853 2.700139e-10\n",
       "4 BATF   0.4398124    0.07489613   0.13655894 1.640906e-07\n",
       "5 BIRC3  0.3490897    0.15613167   0.09691654 1.895061e-01\n",
       "6 C1QA  -0.2025469    0.05392346  -0.43088797 9.445541e-05"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(plt_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "9809f4fa-f81a-45bb-95a2-6332e1bf5bee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Mo/da0V8g/HhjbtuOROEgQ1Jpy4vK6T\nh35m0qpeu7byvPT8yhW99mna2yu7c4Vxcfp+IqRLn1G9nAFE7dvyb/rkCy+2bb2hAKxbjvk5\nrwEsOrKxyb2DRqNc3vH8KNLdr5sjAOn5Xfsj05fJzu/a/wkA6gz2q55jC763z9Ttl0Jj49/d\nv/D39j9mjOjRpIzVx1uHlv/crHLjyedp5gMT+rYr1CadDwY7UBk/yODgoHMnDjFnlHDkzd7V\nVdn/9+aNpgugH9+8UX6A0n+J2adfUVC8fftB/RbSd+/yms9H9HxLj8Y9t78Uw77utFOXVrbT\n8HsiH+xbtVaO2mKvbPrrhd6qBTxKllRmMnFxev9q43ce7V8GQNLRvw7GAJDf+Gv7MwD2PcYM\nUnvdCgCQGh6uIaVKCQ9Xzmfk4lLwx0jZu7go3/Hw8PfqS6SFh+s8gxMg6DS4txsA+fWde5St\nT3xyZ1A0AKtmfgPKadyO61i6duvu/hN/33Tk+pvI0IPDvuMi6d7y/pNPW/6E0hndIkKh+un/\nNf7uLnT5a9J6U7ADVYBPVsbZgVeypMabeIklooRDCzVq1AAAvDx69KXaAu+OHLkHAChXs6by\nF3716tUAAP/980+kui1E506cy206PiTcWti+2fATH+Uo0mje2QuLWuj30YolfIf9IAAA9uHS\nEatf6q2f1apSJeVlp4iICH3VmYnTcNTwOgyQdmbLzveQnNqy+yOA4gNH53qt+8axY2rPiwn/\nHL+qAIByNWvq4WdWRiP57/hxta9ceOb4+VzfcQ2s2/r1Lw6Avb9r9zMAScd2HUsEYN3Or5+2\nl2hsy/Ve/msLAIg+fvxmPoIwL46OyuE34Wp/IMjvnruo68Sv+WBlZQXk2UmQvyatLwU8UPn/\nZH38qJxeuULFivTwg28KJRxaKN2xY2UAYJ+uGP3n8zSVtdKwjSPnh8gBwLNjR+W3DrzatysP\nANIrv48/+En1nJN8Y/pvuzX/eGAjT45r3nbm9TjApeXyC2dnN8p1lGi+FBs4e6Q3BwCSr01q\n123VnVxOLamvjs3tPOW4VvVWrlvXFgDC7t41wM9I72Gj2tsAipAt268f2RIUC6Da8NHNc73W\nLTk7e+wh1beAjQ7+ZdrRVAAo1r59LT2EVqZ9h0oAILv++9hd7xUqaxMuTZq0Nz5fFVs19VPe\nYvB01877iA/a+a8IgKCTXy/VHq/Pu8cOWn31s7rsUR4eruxqi4/PXxTmpHSFCjwAiDqw9V/V\nMYmiR4t/WR9eCEHY2dkBgOLzZ83TggP5a9L6UsADle9P1ofbtyMBwL5evcr5CpyYK0o4tFFl\n5IT2fABIuTSxWbMRa04+/JAolqYlRz49u3lsy8ZjTscBgFXNcWNbZYx8qzl8tHLir8+HfBv+\nMH3n1f99Tk2TiuPf3j26vF/DDquea+pUkIXtG9jkx7VPhGDcO6y/fHJSXTVzB+uBdcNFh+bU\n4QOA7GPwhEblavaasu7QpSfvviQIpbK0lLio8EeXDm+eP7JDxeLfdZ8XHKZdV7xV89bKk+Xd\n23dUv3X1oFj/UT2cAPxvU9/JwUKA22LM8Gp5bRR1cEDDH6bvuvbqi1AqFcaE3dw/r2uDHrve\nsQA4VUeOaa1+wnodVf85QDnxV8zRIY3aTd5++eXn1DSpKC78dtDing18Nr6S57fm2n6DagDA\nm727gvbuOicBUKTH4G457qJhE5/sHt+irFfzofO3/XsnNCpRLJUkR394en7HjE5dl74CAFSo\nUCG/YZgNbrPWzZSfvV2D243dfvXFx0RJmjAmLOTIct8GzWbdUvP4Ff3z8lJOIXJt07xjTyJT\npBo/DPlq0vpR4AOVv0+W9Pbt+wBg3bJNM/oC+sYU0nwf5kLTND6KNxva5t7NwPt+Qb6mNm/y\nZ/Z5f+7+WkarN67Mr7eybafbs1TSX9XH4Al1tLz7UzklsxY+rW/FAYDyMx+qWZvlQQxqt5Zm\nrB+hfj0ruzru620gjr0PaXoaw9cJmPu1z3UCZqG6rTSFx7JsLlObP1tcX/PU5vmczJ5lWZZ9\n+0c9BgCKODkpp/saflbNlEqRa1vk8SbaNd8Qrt0e836WirqtItcq56yuNOOButUvcj5NRu8V\nsizLssn/+nlAgyKth/5UFkAujwhRtytNLVPjGePur2XV7V7N50jbJp2L/H6sCnKgdPtkZREy\nvhQAcNttjtH9lRKzRgmmdhivUUcva3x4G8et5ZyzZ2bWyrbWusbsk3+P1vDwth2Hxnsrb1I0\n5jhtpkSnlddDDkxo55Xb9F+MY7XeC0+t6KZlpZ69B7S2BvD64MH7eohRlVWz0cMz7s3w9BvT\nPa/+H6bs8F37AmqqeRv4FYceOLuokf5mPrOqMjX4xIQ6at5PG+++2w9Or57vnpQyA/xacAEk\nJiSwAEr092ujpi4Pvw17J7UrpSHL5Tg3nHL00Miy+Y3BnNj7rNz7Sw3bnCuc6v925EBAeQ2P\nZdEn5vvx83900aqork1ajwpyoPL5yVLcOBD0AYDND769tDs+xHJQwqE1+1q/nPjfi5Orxvdp\nWa20myPP2sbepcR3jXuMXnz48etLc5vnHNXJeHRaf+/FmZUBXet5F3Pg8ezdylRr5Tdv3507\ne/uVfK+8Z8G2WDE1n9hCJKjcZ+XZV2/uBK2aPqxL42rlSrg58rnWfEfXkhXrd+w/btHOq28j\nnxyc3rGs1rNWufYZ0aMIgNC9u28b4ra6Sr16Kk/PVYeP0upat7vP2hv3ji0Z1r5WWXcHHs/e\ntWztTsOX/PP04dafSun5A+DadmXIiwtrxnVrUL6YA49n71q6aouBs3ffvru/v3dBvuXcs84o\nWn6gX2O1cTtU6b/8bNi727sXjOzasIKHI4/L5Tu6la3ZokfAkoP3Q28saef+rYzRc2696uaD\nIwsGt61RqqitDc/RvVydTmNWnnpwdVkb/d3slbuSA4P+O7ty9I+Nvite1NYm13df5yatPwU6\nUPn4ZMkv7TkQAaBor+E9NT2tj1gshjWVe9K/LaknBpX6cXc80HDF21taXkQxH/K7UyrUXxYO\n99EXP6xvpZcREll8XNuk7Libcm6r9e8ujtZ5Li1CTM6306TTzvgX7xgYi0rT7r1YVPdbSX9J\nBurhMAI29tyvk/bFA0C51q0tLdsAYFVv0qxO9sDnwKU7P+u57tQz85bdlAO89v79LfrUTL4V\n31CT/rB16b5YwLHrnF8p2/gWUcJhQK9W92gzdM7mo1cevHz7OUkilaREv7n376Zf29X22Rwq\nB2BVZ9jg2saO0iDcBi36taoVhGd+X3ZLXxNqy0WxoRdW9PPf+hFA0Z+G/aTrw9AIMS3fWJOW\nXFm0+FIauHUmL+pLwze+TcYetWrJXiyomduht6o4+abWN5SYH+GlMWUBCHI+fltnoh0+2Q8d\n57vZD+R5b0eIifoWm/T7tS1sAMb7l5tiY4dCjKRwByiRTHbVRu4+ubiRrs8PNSOCluvC2XWG\nqNmqYsCGybWoc45YjG+iSZcKuCwJMHYQxKgo4TCgShOOXiy578jJS3devI/6/PlLvMS6iEtx\n79rNOvQYNmZQQ3c6+LpheM6lK9buOHLhwpENjHtrDyF6QU2afFPoLhVCCCGEGJyFd+IRQggh\nxBRQwkEIIYQQg6OEgxBCCCEGRwkHIYQQQgyOEg5CCCGEGBwlHIQQQggxOEo4CCGEEGJwlHAQ\nQgghxOAo4SCEEEKIwVHCQQghhBCDo8d5pEtOTs45y3vmEoZhCj2i/FAGbF7RKplXzOYSbUpK\nilQqtba2tre3N3YsWjGvw0sN2NDoDGxo+j3CAoHA2to6lwL0LJV07dq1i4+PN3YUhBBCiFma\nM2dOly5dcilAPRzZ3Llzh8NJv8zEsmxsbCwAhmFcXFyMGpe2UlNTxWKxGUUrEokA2Nra2tra\nGjscrcTExJhXtMo/XF1djRuJlkQiUWpqqouLi1n8RlRGC0AgENjZmcfTXmNjY3k8nrn0eMXF\nxSkUCgDOzs6ZZ2ZTJhaLU1JSzCVaiUSSnJwMgMfjOTg45LsehUJRv359bUqawUEhhBBCiLmj\nhIMQQgghBkeXVAixWMHBwWFhYd7e3n5+fsaOhRDyraMeDkIsVlBQ0IIFC4KCgowdCCGEUMJB\nCCGEEMOjhIMQQgghBkdjOAixWJ06dfL29q5UqZKxAyGEEEo4CLFcvXv3NnYIhBCSji6pEEII\nIcTgKOEghBBCiMFRwkGIxQoODl6zZk1wcLCxAyHk2yHBhfXo2wql3cDnwaUkajaC/xxcCIUi\nazExzq/LrdjrJWAYtN2keUcKvAvBuhnoUAM8Bow9TqsrlfYWi/xRtTj4PDiXwY8T8DBRj69W\nJzSGgxCLFRQUFBwc7OPjQxN/EVIYJK95o7txgsKyLIlAXAQehyBwM65FoalyYSiGdcaeV3kU\ny8NNNGiGz7kWkb2CTyOcj8vYy3ucWIUz53HuBpo56vTK9IJ6OAghhJCCi+dM6OIQFAa7ypi/\nG88jIJIgPgKPb2PX72hbCVbpxRDQAXte5VUsT1Yo2wBjfsfpR/jZXX2RXeNxPg4lOuLfJ0gS\nIuIRZreB5CmGLYRcLy9ZN9TDQQghhBTYvaXWO96CX4e9dJmpl/HwVX5xOBVH9foYOCOzGLaG\nQ1AfVy6irp3GYnlrhJCQ9D//UVtAjBPnACesD4KPPQA41MC8I3hcAse24dJCNNP9NRYMJRyE\nWCyah4OQwrMjkAHkI5Yxde2YXIsBwC8bvmYbhhKLzzKgPGrZZ1lYBLW8cOwpLj9Fs8oGDkAV\nJRyEWCyah4OQfIg9ejQtMND63TuZpyfj4+MeEKDFRmG4+RkoleZTk5d3sdLoUVdPweaiKFyt\ngNd4mIoymclNIh6GA0BoKEAJByGEEGIMrFwe1aOH54kTLMMAwOPHzOnTMdu2OV25wnXMfZRl\nFKIAlJWXyX0PymJe8NJTxLmxRcdm+PcyAnqCuxwtvJEUis0TcVwIAAkJhRCBCho0SgghhADA\n58WLPU+cAMCwrPI/AK4PH0YPH27s0PJl2ErUs8PH0+hcHQ62KFET829hYA8A4Bjh258SDkIs\nFs3DQYhOeLt2pfdtZOdy/Dgrk+W6qQc8ALy1epf7HpTFwhGe7xh1wauNS3cwtRfKucKGD68m\nWHcRXbgA4OZWKBFkQwkHIRYrKChowYIFQUFBxg6EEPNgGxGh7NVQYSMWi9/lnkp4o7E78MHm\n5GMtir3H0fsFiVMHdlWw+BDCoiER4c11jKmLs5cAoG6dQgogC0o4CCGEEACQ8zSO+LTKYwwH\n4D+YBaw2T2EeCnMvBgCrxyD3Ygbyej32fIFVY/QoWfg7p4SDEEIIAYCkevVyXlJhGSahbFmb\nPK9BfD9F6l8WontMi4ZYuB8voyCRIjEST+9i9yK0b4Fb6cUwzAvCEDSrn1sx/QhBt2H49z/E\nipAcgaML0WYSRAxG/o5SetyLtuguFUIsFs3DQYhO7BYvll25wk1Ly7ywosw/ZIsWabF1UcWf\nJ5KTuzscfoaZ/TFTZa07ZqcXw7rTEHXB3tyLAQAujAIzSnU/C15g5ncA4MvHXsnX5T9kpEpB\nLHoq/5IhZBuOb8u2eZs/sLyVFi9H/yjhSMeyLACRSMTJMXaXZVmRSGSMoHQmk8kAmFe0AKRS\nqbnEDEAmk5lLtJnzcJhLwFKpFIBIJGLUDdwzNcpoYVZNgmVZ84pW+YdYLC6cJsGtXDkhOJgz\nerTLq/QHnSQXK5aydGnRbt20OWhSpkzaxitcv4PWO49xQp5zviTB1pUtUUpRt628d195bRHS\n6yiFLSFM30DuzqMai4mlPA3XIBRSsUQkAmAlh426AvI0UVr6jmoxh//irthidfM5I+SxFRvI\nB46XDWvGQgTR1zOwXC4vSJNQKBR5FwIAMKy6ATLfoLZt2yYkJJw8eTJnwkEIIeSbIn7xIu35\nc265coLq1Rku/TLPjUKh6NSpE4A5c+Z06dIll5J0HNMp02cXF5fMhINl2bi4OOUqZ2dnYwan\nNaFQKBaLzShaZVotEAhsbW2NHY5WYmNjbW1tBQKBsQPRSmxsrPIPFxcX40aiJZFIJBQKnZ2d\nzaKHQxktzKoBx8XF8Xg8OztDT6qtH/Hx8cpfz0WLFi3sn4JNm6KpVs9szSX4Qf4AACAASURB\nVEosFqemphoh2nyRSCQpKSkAeDyevb19nuU10b6HgxKObBiGUXumM4vTXybzihaaD7vJMpdo\ng4ODw8LCvL29zeXx9MoDay7tIWuQZhFwJvOKFubWJMwr2px/F6Se3JlBFkYIyR+ah4MQYjoo\n4SCEEEKIwVHCQQghhBCDozEchFgsmoeDEGI6KOEgxGJlzsNBCCFGR5dUCCGEEGJwlHAQQggh\nxODokgohFsvs5uEghFgw6uEgxGLRPByEENNBCQchhBBCDI4SDkIIIYQYHI3hIMRi0TwchBDT\nQQkHIRaL5uEghJgOuqRCCCGEEIOjhIMQQgghBkeXVAixWDQPByHEdFAPByEWi+bhIISYDko4\nCCGEEGJwlHAQQgghxOBoDAchFovm4SCEmA5KOAixWDQPByHEdNAlFUIIIYQYHCUchBBCCDE4\nuqRCiMWieTgIIaaDejgIsVg0DwchxHRQwkEIIYQQg6OEgxBCCCEGR2M4CLFYNA8HIcR0UMJB\niMWieTgIIaaDLqkQQgghxOAo4SCEEEKIwdElFUIsFs3DQQgxHSaYcLDiL68e3L1z+86de0/e\nJcn47eYeGltH220Tnwfv2X/6TmhkisK2mHedtr0HdqvtamXQeAkxVUFBQcHBwT4+PpRwEEKM\nzgQTjhc7J00NTsjPlsn3N/42/3SUQvmvxIhnl3bOffRm8h+/NXHRZ4CEEEII0ZEJjuHgCIpV\nbOTj+8vcNVM6OOmwnezFvg2noxSCit2mrNtz+PD+zXMH1HRk465t3HlPbLBgCSGEEKIFE+zh\n+G7QihXKv57c1WEz+cNzl76AW3XgtCHKDg3POn2mDn8zdMWt62dDRn7f0tYAoRJi0mgeDkKI\n6TDBHo58Cn/2VAimWsvmWS6f2DVuWc8GsmfP/me8uAgxmt69e8+aNYtm4yCGJ8b5dejbCqXd\nwOfBpSRqNoL/HFwIRfo1bjmWNABjhd9uqm56dTysGDRZkVHya4W2w7oWrVXJpUQJjltp1Qpf\nLwHDfP2PZ48yNeG3AK+EmoNMhF9xMAyYjkjR42sn2jLBHo78UURGfgacypRxzLqU61W2JK68\n+RSZjNoOxgqNEEIsmCQUwzpjz6ssSyIQF4HHIQjcjGtRaArACr/twOHa+HMoej1AfX56yZTL\nGLwG/KYInPj1929GhfzMCuNyVphdWireP8auxzh+HncuoyKjJs4LU7E7CbZALjkJMSSLSTjE\nQiELONjbZ19sb28PQCgUAlkTjjFjxty+fTtrQUdHRwAxMTEcjmqvD8uyMTExhgjaQMwrWgBC\noVAoNJtzgHlFq2ReTSI2NtbYIehGJBKJRCJjR6EtsVgsFutxXFuCzYS2jnvew7aiZNx4cZdm\nsjLOEMdxPn3iPLnCO3RJkRwjTG99xfDnr05tFnMHTUm4OEtmAyDFeuKgIuEC6eI/E4vGIUaX\nCuNTnQBu8+WxRwazAIRxVk/PCib9yn9xVfH74biVrVTDlNy1+3kzr88CyZOZgmdpKbEx+jwG\n2cXFxRmqasOQSCQSiSTfmysUirwLAbCghAMsq3Yp1C4m5FuQOQ+Hj4+PsWMhFurhWrs978Gv\nIzxxVFgzY6gcz0NexENeuY6094RshSuPS5nwr9Oy9fYruiZMr8lcmOGw+wPbfFny0LL5rDCT\nrbO8ft+UeXd4vXdzXrzgoFX270Apd/lEQXK3pPntud1n6uV1k3ywmDEcfDs7BkhOUbkyl5qS\nCsDWloaMkm9QUFDQggULgoKCjB0IsVjW+/dbAfIRy74mB7nhysavEVZhuGvH2l4Ltv9lH8eh\nZepqf0WWCyA6VqiCBQA7O9XfmS/W2m/4LFm8KK2o7lUS/bGYHg6Op6c78Pndu2R89/XiiSz8\n7UfAvrinygCO9evXq2zfrl07AK6urpmXVFiWVXbtMgzj4mIeM3mkpqaKxWIzilbZEW1ra2su\nOWFMTIwZRZvJ1dXV2CFoRSQSpaamuri4MIy6a/AmRhktAIFAYGdnZ+xwtBIbG8vj8exVrz3n\nWxjuRwOlrQa00bqJtcTuqWjwu22voZAXwfbd9rVcs0STrcK4uDhld72zs7Pqxe4EOwCwtndR\n7lgYiwf/YEEQYIWu3V2yRqMIxeQ/0WETd9h3PLwGF4CNvYur3o5BFmKxOCUlRU20JkkikSQn\nJwPg8XgODvkf5aj9JRUzOCha8qpazRbs08tXslz+Tb15+W4auFWr0m2BhBCid1GIAuAFL102\nqjML/u6Qy9FwFvxLFqjCC6PS71Kxc0VTfzzlwW87xpbLVmbDCDxrho002a7xWU7CYVWrXSs3\nyJ7tXrz95vukNKkw8v7BJVtuCeHYtH1DM/s9SohedOrUady4cZ06dTJ2IIRkEf0Pjn0GgPv7\n8FSmz5or9cB8X1hnWRKxHTNuY8lmlNS4ESk0pnhJJWTlT4suSzP/eW5u13MAgGZTTvzWJHPx\n3ZU/Lbgsbzb92G8NlQu4lfuP6fjf/NOvji0JOJZRinFuNtKv3tebqwj5htAMHMTAPOABRIUj\nHND2kspnjBiJaDdM/hErtmLIMtyajq/Pu9KxwjYbcX4kIEPUC6wdi0WB6FISdxfARrk6GgG/\nofoCjNKpB4YYiuX0cABwqDNq+aKfO9QsVVRgzeUXKV615aC5KyY2NY8BDYQQYm680dgdeI+j\n97XdYvcIHI1B/81Yuha/VMTd+fjjRYEqBAAuPKpj4T8Y7InHS7HpbfriuKM4Focbv4KTOUVY\nBTwCcAYODJhu0Gv3CsmTKfZwNJx45MTEPEvVU1eKKVKly5gFXcYYJC5CCCHZ+Q/GhqVYPQa9\nL6BWXhevPwZi3HEUH4h13QFg4Xb80xxzhuDHG6iU8es3a4WldQrFAYvm48DPWLIQw7eAD2g9\nmJEUDovq4SCEZBUcHLxmzZrg4GBjB0Is1/dTMMwLwhA0q4+F+/EyChIpEiPx9C52L0L7FriV\nWfQDho5HQklsWwPl7amCJtgaAEkIhv75dV7zLBXarzxiHfqFSdNUYQ6efhhWGpE7seU9ALiO\nBMtm/y8UNQF0QDIL9phJ/uK2ZJRwEGKxaB4OYnhFse40BlREyjPM7I/KnuDbwKk4qtfHoBk4\n9z/IlcVYbPDH2UQM34aOWR4D3mIRRpXDjVlY+zpnhTYLhxdpXNWlRHGOc8kcFapljSmTYSPF\nssVIM9DrJflHCQchhJAC4FXEnkc4uxZ9WqCUK2ysUbQ4qjeE/2ycu4bGAICwdZh8AV4j8Uf7\n7BvbYelWlBVj+lC8YVUqFHdvIi/hzKqtUJOSQ+HniY87sC3CAC+VFAj1KBFCCCkgPtoFoF2A\nxvXeY5EyVv0q+1YIzznYgo92AcK6/TVO/FV+Ktip6iP56xP+0hRHeTykx10YDSUchFisTp06\neXt7V6pEE98RkyGXIy0NAoGx4yBGQAkHIRaL5uEgpuX9e3TpgtBQhISgRg1jR0MKGyUchBBC\nDO/BA/j4IDISABISjB0NMQIaNEoIIcTAzp1Dy5aIjISVFTZuRPPmxg6IGAH1cBBisYKDg8PC\nwry9vf386MlVxHi2b8fIkZBKYW+PAwfg42PsgIhxUA8HIRaL5uEgRsaymDsXQ4dCKoWnJ65c\noWzjW0Y9HIQQQgwgLQ1DhmDvXgCoVg3BwSit21zlxMJQwkEIIUTf4uPRvTuuXAGANm1w5AiK\nFDF2TMTIKOEgxGLRPBykcEgiIuKWLuU8ecLa2aFBg2J9+nC6dcOLFwDg54ctW2BtbewYifFR\nwkGIxaJ5OEgh+LJ1q9O4cZ4iEcswAJjgYHbePMjlADBlChYvBsMYOURiGijhIIQQkk/CV6+c\nR4+2kskAMGz6rOGMXA6GYbduZYYMMWp0xLTQXSqEEELyKXHdOq5UmplqfMWy8e7uxoiImC5K\nOAixWMHBwWvWrAkODjZ2IMRiMS9fshqumKQ9fFjIwRATRwkHIRaL5uEghsbyeJpWMfSENpId\nJRyEEELyiWneXM31FIBlGPuOHQs/HmLKKOEghBCST8XGjk0sVSrnVZWoH3+0q1LFKCERk0V3\nqRBisWgeDmJoHD7f5sqVL0OGuF++rFwi53K/DB7svm6dUeMipogSDkIsFs3DQQqBwMtLcOlS\n6rNnqbduceztHVq08PT0NHZQxBRRwkEIIaSg7KpWtata1dhREJNGYzgIMWevl4Bh0HaTunWR\nPN8Krm5VHE7G5VyFzkXBeOJEHHAeTgwYzf/ZDzb0iyCEfAso4SDEUnn+/UPv//GjeWMHQSXl\n2DkCwQnw3YSuznlX8913hgmPEPJtoYSDEIsVdC6itRipSbcx9ujXpZG7MeEfeA7Amh8BAG2R\nwILN8Z/4MRrZw60Ljkw2UviEEItCCQchluwTsNndGvtG4XgsACAKI8Yj3gOb16BoLttFY0RX\n/FcGf+9FGTpLEEL0gE4lhFi4i9WrouhnjByLOGDPKPwTh4Gb0CWXiylSrPgJO5Ox8QSaOhRe\noIQQi0Z3qRBisb7Ow+F3FgP3Y7ANbhyDpy9W/5jbZqdGY0oIJpzFkHKFFSkhxPJRwkGIxfo6\nD4drDxy6hn92Ah44sTq3iykv16DvVrTfhOUtCyNEQsg3gy6pEPIt8MDCAACoPzG3iynx59Bl\nIjwDcGAErAotNkLIN4F6OAj5Nigf3ZnLAzxloejVB7GtcPtPFCm0sAgh3wpKOAixWMHBwWFh\nYd7e3n5+fnmVTcT4rrjsgtOHUIFOC4QQ/aMzSzYsy7IZj1pmszxzmVX3/GWTZV7RIvthNwsm\nFC3LMsr/qQspKCgoODjYx8dn0KBBuZaU46++zPpIrL7FtnGCplf37BmzeDE7YgSaNdPjK8hK\nGZsJHd5c0Smi0JjLKSKzAZtRtDn/Lkg9uaOEI53ykMXGxnI4quNaWJaNjY01RlD5ZF7RAhCJ\nRCKRyNhRaEsoFAqFQmNHkSFB6ARwpalxsbG5fOhjY2MzS8bHxiqyr2VuznIaew4D9yX0d2M1\nNx671asF+/Yp7t2Lv3FDX+GrFReXcy52k2ZeDVgsFovFYmNHoZv4+Hhjh6AD84oWgEQikUgk\n+d5coVDkXQgAJRwq7OzssiYcqampmcuNFJFu0tLSZDKZra2tsQPRSlpamlQqBWBtbW1jY2Ps\ncLSSmppqY2NjbW1t7EAyCGw4AK7+5uL2m8oaxewHmX/b2dmll7Ti2drZZUtNEv6xGbLJSgrs\n7uOyW+0+Kksf/CerBKs2bbB1q9WrVw7Pninq19fzCwEASKXStLQ0W1tbhmEMUb9+KaOFuTVg\nLpfL4/GMHYhWhEKh8qegeTUJc4lWJpMp84wCNglKOHSmbB8CgSAz4WBZVplwMAwjyGWonSlR\nKBQymcyMos1MOMwlZuX52oSi5WtMfTjW/Mx5OAQCQXpJjjVfJfiIN8ijR4xjzRdYC4CffoKb\nG6Kjefv2oUULPQSvTlpamkAgMIvzNQBlwmFaTSJXQqFQH9GKcX4rth7Bzaf4kgQ7N5QshTrt\n4euLVhXAAV4vQYVpGYWtYO+Aoh6oVgete8DvR7hl+d5Z1RQTNHSYLQ0TDXNSJhx8ThRn5QLs\nPYOwWNh6oFkPzJuLWmrHNkehRUlclaPlOlwaU7CXqTOGYdLS0vh8fs6echOU2bFhZWVVkCZB\nCQch34byU8FO1bSyd4xr3iVzrSEba2v4+uLPP3HgAP78E2bSkUb0TBKKYZ2x51WWJRGIi8Dj\nEARuxrUoNFXZQI6UBKQk4MNLnNqH+TWw8RAGVMprN2XR2guIBwBZGNO5Ey5kXGiTvMeJVThz\nHuduoJmj6nZvduOaHACu7MCbMaC560yJGWRhhBBTMWQIACQl4cgRY4dCjCIeAR2w5xXsKmP+\nbjyPgEiC+Ag8vo1dv6NtpWzTt7TZmPEgwGS8e4KgP9GyJJIfY1B7BGf0qo2/rvrUwJTDcACq\nDcb36b1cnEMzmAtxKNER/z5BkhARjzC7DSRPMWwh5DkCDAwEWxQBA8D+h51PDH48iC4o4SCE\naK1aNXz/PQDs2GHsUIgx3FuKreEQ1MeVu5jli8rFwbeBU3FUr4+BM3DuChqp24pnj9LV0HM8\nLj3B+GpQvMfEFdDUDX9gK5IZDBmc8W+J9ekrgBPWB8GnGhwEKF4D846gmx1ebcMlWbZt2TvY\n9RzFemH5EBQDdgXCDG4W+YZQwkGIxQoODl6zZk1wcLA+K/X3B4DLlxEWps9qiVnYEQgAv2xA\n3fyNo3fCktXwAF4dxEO1Bd5jy1lYt4FvmYwlcZxoGVAeteyzFCuCWl5ALC4/zbb1xR14B/T1\nBb8l+pTE2z2qGQkxKko4CLFYQUFBCxYsCAoK0melAwbA1hYsi1279FktMQNhuPkZKI0edfNf\nB68lOjgC4bin7ubnp9twW4HO/nDLXOSkcLYCXuNhapZyiXgYDgChoVkWihF4ACgD36YAB779\ngC8IPJn/UIm+UcJBCNFFkSL48UcA2L4d8pyX0IkFi0IUAC94FaQSDsqUBICYmByrFNiyA3DC\nkB5ZFgqkrRsCCQjoieCnSBHh02PM+QnHhQCQkPC1YNIx/J2AigNQjwGA+r6oCBzZgeSCREv0\niRIOQoiOlFdVPn7ExYvGDoWYIU0TU4pPY88HePbDD/ysixUDF7D17PDxNDpXh4MtStTE/FsY\n2AMAst59enAHhICvb8a/a2BAdQiDcSjaEC+C5AMlHIRYrE6dOo0bN65Tp056rrdNG5QpA9DQ\n0W+NBzwAhCO8IJUo8O4jALi5qa45sgVxwEB/1ScV21RnL4Rgai+Uc4UNH15NsO4iunCzVxKB\nwPNAHQyo/HVDX19Aih17CxIu0SOah4MQi9W7d2+D1MvhwM8P8+fj6FHEx6NoUYPshZgcbzR2\nx8P3OHof9erksw7JZZxNBrxQV6XZRGHrv0A1DKmnZiu7Klh8CIsz/y3D8EsAUDcjjFc7cVMB\n3Id3jinjbuxA6HhUyGe8RI+oh4MQojt/f3A4EItTqlf/0qJF5LRpCnN7PAfJD//BALB6DB7m\n73FCCZj6C6KAir1RK/ua0EBckaHxEOQ5JRiA1+ux5wusGqNHyfQlgTs1l36MwAea15LCQwkH\nIURnkWvXKq/E20dEuF675rlkSWrZsqnPnxs7LmJg30/BMC8IQ9CsPhbux8soSKRIjMTTu9i9\nCO1b4Ja6rSSp+PAMR1ajdQ2segqmJFZMyv7lw2LrNrDW8PdVt/09pvvP+Pc/xIqQHIGjC9Fm\nEkQMRv6OUgAAxQ3segVUwiOF6jRiT+cCwK4dGqf9IIWILqkQYrGCg4PDwsK8vb39/Pz0WG38\nqVOeK1dm/pOjzDy+fInr3dvu6VPN2xELUBTrTkPUBXufYWZ/zFRZ647ZWf51YRSYUaoV2FfF\nukPo4pptoewydr6GXXf0yTGwAwDkuL0dJ7ZnW9bmDyxvlf73uUBEAM3HoEaO6ylVR6DlQlze\nh/Mr0N48HrBnwaiHgxCLZZB5OADJpk1sjoerMSzr8uxZykP10zkRy8GriD2PcHYt+rRAKVfY\nWKNocVRvCP/ZOHcNjXNuwIFtEZSshA79sOwQwh7Ar4pqkRNb8BnoOQQOanf5PXt8B3o0QDE7\n2LmgbmesvYzTE5H+uDERdhwC7BGgNqv2wNieQCx2/FOA10z0g3o4CCG6sX77VtMq0ePH9rVq\naVpLLAUf7QLQLkDjeu2fCKjUYx/YfZpXW6HeIBwZrGGtAAcScSDflZPCQz0chBDdKDQ/J9aq\niNonhhNCCCUchFguA83DIWvenMkxdxMLSHk8x9at9bsvYsbOnEGjRtizx9hxEFNBCQchFqt3\n796zZs3S+2wcbtOnJ7u7Zx3GwTIMA8RMnMh1UH8RnnxztmxB584ICaGEAwBeLwHDgGFQWXWc\nLQCsbJy+duq9rwtTX2CeH2qUhq0NHD1QvTGGL8S1txqef5sIv+JgGDAdkaK2QBRacMEwaLVe\n3VoF3oVg3Qx0qAEeA8Yep3V+idqghIMQohtukSLcmze/ZOnMkNjbRy1Z4rlokRGjIqaCZTF9\nOoYPh0yGEiWwfLmxAzIZ1tZ4qZygLKuX2HEL1tbZliVdRaO6mLsLTz5AJEXyZzy9hS0z0bwj\nnqmr+cJU7E6CxkudwJvduCYHgCs78Cbn6tto0AhjF+HsE6Tp+KJ0QQkHIURngnLl3M+fl0RE\nxB07lnj9uk10tMeUKQWrUozz66wHdSxaqxIj4MOlJGo2gv8cXAiFAoAcSxqAscJvN1W3uzoe\nVgyarMg+0YIY59ehbyuUdgOfl6O2jF+cbTdpCEabH3xC5sZ+2/H9nBrXsnUtCufSaOePf9Wc\ny78taWkYOBCLFwNAtWq4eRPVqxs7JpPRojMcPmLHuWwL72zHUxt06ZBt4eqxeCJCqR8QFILP\nyRDG4vkdbJ+DFuXUfGmLb2LkZgz6PbfZVAMDwRZFwACw/2HnkxyrrVC2Acb8jtOP8LN7/l6c\nVljCsizLtm3btm7dunK5PHOJQqGIjo6Ojo6OiYkxYmA6SUlJMa9olUc4NTXV2LFoy7yiDQwM\nnDVrVmBgoLEDyYv4FetbkQXU/efOXmNZlmVlz9i6NqzVd+xt0dcNky+xXgxr25R9JdetttDF\nLMC22aghoGuse9at7NhTOYqELparqb8I+8djfR0VQ4iJiUlOTjZU7XFxbMuW6YeiTRs2IaGA\n9cXGxipPEVnPzKZMJBKpj1bZ3n7czg51Yx16s19PIVJ2uDtr35Pd78cC7JS7LMuybCr7A1gU\nYU+mabHPNHZqVbZYXzY2lK0JFh3YnG+v4jZbBmyx4azoAlsMbNmJrIJlWVYsFisPb1JS0tfC\nY9zVN3jN5HJ53bp169ate+LEidxLUg8HIRbLQPNw6Fs8AjpgzyvYVZbP2pZ44wkrFCM+Ao9v\nY9fvaFsp/VFeVlWwYxY4L+E/N6PXNxkTByPcFksDUYGTszbM343nERBJ1NSWBy1+8HEc2LY/\np246nHD7mTDmC8JvY3ILIBHTZyCpgAfEPIWHo0kTXL4MAIMH49Qp0C1LqqzhPwDJx3E4Pn2B\nMBgHPqOXP+yzFuPDiQ/YoYgW81Y8WYo/IrFmNZw1l7m4A++Avr7gt0Sfkni7B5dkBXgV+UcJ\nByHEqO4txdZwCOrjyt20af2kFT3At4FTcVSvj4EzcO4KGmWUrD4VM2rj+QrM/w8ATo3Hlndo\nsxxjvNXWhlm+qFxcY225aYSQjEsqmmanLDcm7cRq0U8tZOWKsXxblK2PpUFoAUge4EUBjoaZ\nunsXjRrhxQswDObMwfbtqoMSiFKTIagkwfaMB9ge3oak4hiS/XoKOOjSCfiEkX749z5S5Bpr\nU4Ri+EJ0WIk+xTTvUozAA0AZ+DYFOPDtB3xB4MmCv5R8oISDEGJUOwIB4JcNqGuXV1Eupm9H\nDQZL/XHxKIZuh2M7bB+FrLOe6lCb3nFhzQDFkMvJ3yIk378fOXv2pyFDohYvlkRE4MwZtGmD\nz59hY4OdOzF3LnJMREsyVMfguriqHLkZhe2nUGEQmuboduu3AZOa4PludKkLJydUaYzBU3D0\nseoTYTaMwLNm2JjrgwuSjuHvBFQcgHoMANT3RUXgyA4k6/FFaYtmGiXEYnXq1Mnb27tSJW2e\nv2ksYbj5GSiNHnW1Km5dCzumosHvaN8L8iLYvh2lC1CbvigkiHiNHdNwnkXH0fAq1J0XKpaN\n9Pd3373bQZH+1SebMwdyORQKODjg0CF07GjcAM2A3xDMHIMdjzD4DK7KsNBfXSF3LL+OsTdw\n9BRu3cP9e9h5CzuXo/4UnFkMJwBAxHbMuI0lT1FSXQWZDu6AEPDNfCpeDQyojjnBOBQNX0d9\nvi4tUMJBiMXS+wwcBhCFKABeOnxJ15kF/y3Y8hkNZ8Ff5Vyre20FFLqyaOPF6b9P+aUxeguW\nDi2sfRtB5KRJnjuzPQieK5UCULi6ci5fRtWqRorLrHj2R8dfsXM7ZGfAaQq/ihpLlm6CX5rg\nFwAs3l7CL/44sQSTW+Gv9kA0An5D9QUYlXtbj0DgeaAOBlT+uszXF3OmYMdexjfHo/UMjC6p\nEELMSvQ/OPYZAO7vw1PjjH1TTxyFWxfwONbYcRgKK5c7bd2qdt6p+FKlKNvQmhP8u+HDJqz8\nH9r7o7g2mzAo2xp75oMDnDwJAHFHcSwON34Fh0mfNIypgEcAzsCBAdMNyk/GK+W0H/fhnVmM\ngfcUALixg/PaUK9QE0o4CCFG5AEPAOEI17L8Z4wYiWg3TB4G2X0MWYZsI+p0ra3AKkyMj45O\nTYxGxFNs+RlhB9C2G8LVTwZp7sTv3gmSktSOzrANCyvsaMxa1yFwTUOaHYbo0geZGA8FEBcH\nAApFXqUBAIE7Na97bLW7sJ/tTAkHIRYrODh4zZo1wcHBxg4kF95o7A68x9H7WhXfPQJHY9B/\nM5auxS8VcXc+/sh6T4iOtemLlQDFq2LYOixsAdF1BBVavlO4aCiovli3QzQLNgU97dWtluPn\n6hixAKdCEBYJcRpiP+LMJnSdBQD16wOA60iwbPb/QlETQAcks2CPgQsobmDXK6ASHilUCz+d\nC4DZs8tau7xFXyjhIMRimcc8HP6DAWD1GDwU5lHyYyDGHUfxgVjXHeBj4XaUl2LOEPwvy1lT\n+9oMQSIBgCTLnIhDULas0MmJzZF2sAyTrI/rKcJXrz6vWxc5a1bskSOKNEPOsG3qWEQ/xV+z\n0akRyheHgAfXUug4Cg9S4FAPK4ZpW825QEQAzcegRo5MseoItLRGxAHelYzj7MtPv+Cy/jOQ\nih8yrr8c1turAiUchBAj+34KhnlBGIJm9W2WHrIO/QKJFImReHoXuxehfQvcUpb7gKHjkVAS\n29agKABA0ARbAyAJwdA/v94umKU2LNyPl1EaaiuwRZ1tZu6wefCKEyeCOAnh/2HNEMwOAZzR\nrIqe9mFiGCZx1CiVBwUr8w/utGkFqZiVyT4NGcKvUsV97FjP33936vL9UAAAIABJREFU6dkz\n2ds7/syZAkVrxrjY+hRb5qJzE5QvDh4XAid81xhj/sCjq/ier10lIuw4BNgjQO1Nsx4Y2xOI\n4+0/W6jdVjrMX2rRaGrzwkdTmxuaj48PAB8fH2MHkhfx/9gBuU9GrmDXt2EBdviZ7FumsKPL\nsRCwq0J1qS1jqmm1/y14wbIsO4Cnfm1Qxl5+LaOuAJcdEMSasIJOba5QRIwaJeNyM1+yyN4+\nas2aAkb1aehQlSMpZ5g0Pv/TnTsWMrW5SVI/tbnutJ/anG6LJcRimcM8HAAAXkXseQS/rbK/\nDjG3nllFJ8PODSVL4/v26O+LxkDYOky+AK+R+KN99i3tsHQrTrbB9KHochnlmKy1Ydth3HyG\nz4mqtenFrDNppTaxh85xX721SpTDuSTqNMOg8ehTQ087MEkMU3zDhtSxY5NPnFC8e2dVpUrR\nPn3c3dwKUqUsMdFt1y6VhRyW5YjFkuXLrTdsKEjlxKQwbPb+sW9Wu3bt4uPj79y5w+GkX2Zi\nWTY2NhYAwzAuLi5GjU5bqampYrHYjKIViUQAbG1tbW1zebKyCYmJiTGvaJV/uLq6GjcSLYlE\notTUVBcXF8YcxicqowUgEAjs7Ap/YlPdxBw8yCxY4PD6NRgmqXJlzoIFzj4+xg4KAOJPnSra\nqVPO5SzDRFesyLl+HYCzs3PmmdmUicXilJQUc4lWIpEkJycD4PF4Dg4O+a5HoVDUr18fwJw5\nc7p06ZJLSdPs4WATnwfv2X/6TmhkisK2mHedtr0HdqvtmtdDl+6v6j33olh1ac1Rexb8UNjz\nqRFCiOmIDAjwXL+eZRjlCAyXhw+Zzp0jZ8/2nDfP2KGBlUo1rGA5cs2PESFmyBSzsOT7G3+b\n/teZR+/jhVKpODHi2aWdcyetvGGx0+kQQkxIcjI6d8awYRAa4z4XA0j+7z+PjRsBZI73VPZs\nuy1eLAo3/h28dvXqsRr6A4QVNc/CScyQ6fVwyF7s23A6SiGo2G3cuJ71PKxin/67YeXeR9c2\n7mxVd2Le43MrD9u5tGvRwgiUEFMXHBwcFhbm7e3t55fr451IVk+eQDlzyZMn+OcfFDP7R7Gl\n7N3rkGOeKAbgSqUxBw4ICnaDScHxPD2jOnTwOHUq60KWYViGYcaMMVZUxBBMrodD/vDcpS/g\nVh04bUiT0o42NnaedfpMHd7IFknXz4ZYyA8OQgqHeczDYWoaNYLye+7OHTRqhP/9z9gBFVhk\npKY1ig8fCjMQTVz37//SpEnWJWkCQfTq1XYNGxorJGIIJpdwhD97KgRTrWXzLOMe7Rq3rGcD\n2bNn5v/JJ4SYOIbBunVYtQocDt68QaNGuHLF2DEVjOZOGk5xrZ7kYWjcIkWKXb8e+/ffSY0a\nAVDw+Xj92j0gwNhxET0ztUsqisjIz4BTmTLZhnlyvcqWxJU3nyKTUTuPobQfT80bfvBjtITr\nWMyrWoP2P/3UqpyauWO3bdsWGhqabccKBYDk5OSco4tZllUO5TV9MpkMgHlFC0AikcjNZ3RY\nWlqaGUWrZC5NQnlgU1JSjB0IMGQI19VV8PPPiI9Hhw7iDRukvXqpFMlsBmlpaQotn21hDMyP\nP7Jr1zI5bkiUW1lZde5sOm3Dpm1bbkICbt3iiMVSDictOTnzJsqUlBSzuHEpswGbRbSZjVYq\nlRakGWjf+E0t4RALhSzgYK+SJNjb2wMQCoVAHglHcsSbZABIi//47NrHZzevP5q8dHwjZ5VS\n9+/fv337dtYljo6OACQSidrbmSTKGYvNhHlFC0Aul5vRV7hMJstMlUxc5jwc5tUkTCRaSYcO\nkr//dvT15cTG8ocNU7x8KZw8WW1JE2/A3Bo13vbt67V/v4JhOCwLQPnHu1GjHEuWNJGjraRw\ncxMAAKTv3snLlctcnmZWM50XQrSy2Fjx9Okuly/bJSSkODvHtmsnmD+f6+Skzbbily8ViYmC\nWrUYHk+5RKFQFKQZmG/CAfXTgrDQYrYQrluNzqM6tKxRvrQbXxz38cX1v3fvv/Hx4tptDWv9\n1lCg70AJMXm9e+vyLEqSg+z77xNPn3bs29cqLMx2+XLOp08pK1aAa3KnzTw5rFnzpl69IqtX\nF/3wgeVw4ry8UiZPduzWzdhxqVJ4eir/4ERGZk04SFZpb986tm/vER+v/KdjTIzj/v2JFy4I\nL1yw9vDIZcOkTZvcV6xwTUwEoLCyet+1K3/xYm4hzttkap8cvp0dAySrdqmmpqQCyGO6pRoD\nZmbO8cf3qNCo5+RKgpnDNj+5feuJomH9bP0W/fr1a9OmTdYlGzZsAGBvb5+1h0PZtcswjOnP\n6qMkkUhkMpkZRSuVSgHY2NjY2NgYOxytpKSkmFe0yj/sVfsMTZRUKpVIJHZ2dibUI12tmuzq\nVaZXL87Nm/y9e20+f07buzc1PFx06ZI8Pl5RpYp9x442fD4v48eiybIfNQqjRsXGx1vb2DjY\n2eV/mieD8vYGw4BlbePj5fb2yscIADCtJqFZ4TTguOnT7TKyjUxFvnxJnjOn6N69mraKnjat\n3KpVmc/e48jlZY8ejXn0SHHtmo2tLZ+v5SNa1DDfHg6Op6c78Pndu2R89/UTIQt/+xGwL+6p\n24eEca5axRNPPsTHp6pcimnatKlK2Y0bNwLg8/lZZxrNPF8X5M0oTHK5XCaTmVG0yoSDy+Wa\nS8wpKSnmFa3yD3MJmGVZiUTC5/NN69uleHFcvAg/Pxw8yDl/3qpCBefk5MwhETFeXpJt24q0\namXcGLWUamPD5fFMtz3w+XB2Rmys9Zcv1ny+UChUJhw8Hs8s5u4EIJFIDBsty/6fvfOOb6u8\n/v/R3lu2LHlvO96JRxIndjYZhJWQpAkQvnTwbUuBtpRvW6BQugf9ldKWtkAJI4EkEEIGZJEd\n7zjee9uyJWvvcTV+fzwgFE9Znknu++U/rEf3PjpXutI99znnfE7IpUtjfj1EX3wx3ifrVKul\n//gH+GmxIMRdXZ3//nfoM8/MjcOx4D7C2LR0JngbLl7y0/mylFysdAI5LW2KLSG82samIQCq\nQHBr3PHj4MwsJ0+e/Nvf/nYSqUrgTAcaDQ4cgKeeAgCK0ej/qy3q6eHce69zeHj+jLu9CA8H\nAJDL59uOBQqm11PGyRGhG43jJCWA4fPPyWMpunoJBOocFmEtOIeDlL1+dQi4Gt/73X9L+oxO\nzDpUffD3b5Ragbtiw9KJIipdH//61//9vKqtX2VyYHaDsqP0oz8+/996FzDzlqYvuMPEwZkD\ncB2OmYRItI6lQ0Xwehkmk+YPf5h7i25PcIdjQih8vmuckK6dw4FxlgY9o0IwCC8AaQ7LlBZa\nSAWAnLr7+xuvv3yq7ejvnzj61SBBuPJ/9+bdtORT+Zdtv7roXvnzoz9B0jAec1/F0YqKozfP\nRgopfuKby26NTls4ODgLGvOFC2P+lngIBGJV1Vxbc7uCOxwTQyBoiotDz50bXeesX7t2vOoI\nakrKmONEr9cZGTmj9k3EwnM4ADiLv/un30a+/8GpijaFycsMjc9Zt+OR+3MmyaSNf/DFF8Wn\nz1690dGv1Fi8TGFYXFrB2vvuWzWWDgcODg7OlBm/9pWwgMtibzFwh2MyOH//u62ggKnX+w+a\nQ0KEf/vbeLvwIyM9JNLoZnheAoE4h30PFqLDAUDgLdr6/V9tnVBGP+9HHx/7kf8+zPAlWx5b\nsiD6LePgLAh8OhzzbchtAqOgYMxxotfrSkubY2NuW5DDMTT0tXvX/Sox5New9nU4979fjnT8\nHhJ/dtOIP39dAT+8Nvbkf+iEZ+O+nsEHlQVh8bBqOzz3Y0ha6EvizKQkR1PT0A9+wPviC6Ze\nbxEKjZs2if76V6pYPPYOlZWEu+/2+cSoaTAqV+l+/HHuypVzZvnCdDhwcHBmAFyHY2bhLF6s\nyssLqaz0H/QSCC4Khf/MMyM2dgwM6H7wA87ly0ydziyRmLdtC/3DH0i3SMn6fIIcDpcLVCqY\n4frzGFgTO/YzTgv01cG7dfDpOai4CEkLqUhqLGhSqfSjjwDAY7ez6PSJzqpz5+CBB8BkAirV\n9fe/qyoqKJWVZKPRnpJC/vGPuVlZc2UywAJMGsXBwcGZe1wuV0NDwxdffHH69OnKykqLxTLm\nZtyjR9U5Of4jVg5n+M03mYmJ/oPmmhpvamrY0aMsrZbg9XIUCuk//mFKT3cZDLN4DLcHubkg\nEkF0NASmmzkGT18Fr/emP/NHwAFIfxRyb/Yk1r7+1QYquPo2ZNDAcBn+fHb6BzFnECcuZ33v\nPdi8GUwmYLPh+HHyt78tfeMNcU0Nv6sr7LPPOKPkIWYbfIUDBwfnTken0x0/fryhoQEpl1Ao\nlMTExE2bNsXHx4/YkiaT0aqr1R98gF286NbpHElJ7Mce40skIzazPf64eJTLwu/pGXz2Wdm/\n/z1jduvfBMG3J9lm52H4cLsvgvBlKtzkEQQFFEfAZTes+jtcGC+4bYdzb8KbH0NJAwwbgRUC\nEZGweAM89BCsTgz+ZjY0FPr6gEwGKhWswXQId7lcWq3WYrFwuVyhUEggEODDN8FEgMceHXcf\nlhgKH4U/l8Bdb0B9PcCGYK1fSLz6KvzoR+DxQFgYfPYZ3Owozwu4w4GDc9ty8uTJzs7O+Pj4\nvXOYF3bL4fV6z5w5U1ZWFhkZmZCQAABWq7W5udntdj/22GMczhhyg+JvfAO+8Q2bzTbmQojL\nYBBXVY0uIvACsD77bDYOYcpMGkHoeg+uuAEALr0NXd+H0SLjjnb41t3wfpvfiBy0cqgrg33/\nhisKmM7N88Sa0hPS2dl56dKlvr4+h8PBZDJTUlKKixNC3zgDlLXwUPQkO6OP7BaR5Z0Irxee\nfRb+/GcAgPh4OHUKEhLm2yYAPKSCg3Mbg+twBIJSqWxpaQkNDRV91VSCyWQmJib29PSM6Ckd\nIA65nDCW9iIBgK7VTsvWEfC/dVPgoP13AADFr900+OH2r7df+7pWrTabTJNHEPbtA68AntgD\n3uvwTv2op3XwxF3wfhuwUuHl96BJDjYH6ORQVw7v/hrWJQNpJo8ycLq6ug4ePFhVVUUikQQC\ngcvlunDhwqFXn/OUe+Du/4GQ8fe0auDaPvjJewAk2LR+zgyeFZxO2L37S28jLw9KSxeItwH4\nCgcODs4djsFgsFgsYTd3vWIymQ6HQ39z5WGA0MLDvUTiaJ/DC+AQChdEz5WJIwjeCni3CUK/\nA3/aCYf2w7v74KVXwH8RpOoP8GY3MPLh0nlY8lXCIl0GfBlk5MPDz83ZcYygrKxsYGAgMzMT\nKYvz+XyhUID99z0isOGxB8bY4YvvAuG7Xz8kcGHvf+AHt3LTOLMZtm2DM2cAANavh48/hrGW\n6OYLfIUDBwfnjoZMJpNIJJfL5T+IWniQg2oMS6bTnWMlPBIALBs3BmfkrDBeBOH829ALsOsh\noK+CnRHQ8z5cuOnNgbf3AQA89c+vvY0FgM1m6+vrEwgE/n1MGOSuFW1m4OfDpgB6hSQ/AC8/\nBJRZNHLW2bXrS2/j0Ufhs88WlLcBuMOBg3Mbs3nz5ieffHLz5s3zbciCRiqVisXioaEh/0GF\nQiEQCGQy2ZSn0+ngrrtoY4VODJGR4gWigD5RBMEO+z4EiIaHVgAQ4aFvAAzDPv/Uk04oUQJE\nwQNL5tLkSXG73R6Ph0S6KZxDrb6SbQdjwdKxozxfVqlgMFQHPy+Gln2w9UUYu1HJLYLXCwQC\n/Pzn8N//QlDu8qyy4AzCwcGZKXAdjkBgMpmFhYUnTpxoaGgIDQ0lkUharRbDsBUrVsTFTXF1\nvbsbtmyB5mYAcG/frrJY+Fev0k0mi1hsuO++0FdeIXO5s3IMAfLFd4XiySIIxqNwRA9J34M8\nAgBA/kOQ9Cf4+G34xz1ftdxWgAIAYmEcSYv5gslkCgSClpaWiIiIr8aMCVfrKCDsvG/phO87\nGcIy4DfHYTAZ9v0B/vVNeDJm1s2dJY4cgaEhiImZbzvGBnc4cHBw7nQKCgrodPq1a9dUKpXD\n4QgNDc3Pzy8oKJhak/HKSti6FZRKIBDgF78gvfQSygqZXJppvhgzgnDwbbACPPTQV48zYU8G\nvHgSDqngmxNkXc4/RCIxJyenq6urvb1dIBB4PB6K4Vpsm8cbmc/cEIgOLAd++zJ8+G34/W/g\nO29AYN3a3W73iDWVeYZGW7DeBuAOBw4ODg6BQMjOzk5LS9PpdBiGCYVCBmO8NljjcPo0PPgg\n0nOEN9+Ehx/2PTOJNNNcsvZ17cEHqTQS29wPr/0AfrsPtkZA5a/gaz1POew7B7AY9qR+vddD\nD8GL/wdv74dvPg0AAGEQBqDohm6AcaS054vFixdXVFScOnVqeHjY4/FkK5rDgajd+XhUgCtV\n0r3wrV/B39+BN16AH0RNsKHX621ra6uurlYoFGQyOTY2tqCgICRkUocsQOWSyTYLXJd9YpX3\np8InM3iGwR0OHJzbFlyHY0pQKJTQ0NAgdiS//Tb88IfgcgGHA4cOwYLKDB2D8SMIbe9AiQeg\nGuJHKXNcexvan4ZEAIiH5RKo6YNPqiFv8ZwaPoIRNSYAVIAHi75dmyCNiYlxOfv2HLgB5OiG\nROMyDKNQAskFpcD/PQv/eQL++Dt4/HUYX1f9woULFy5c0Gg0HA7H4/E0Nzc3Nzdv27ZtoqSf\nAJVLghA4CUaXHam8z3W6Cp40ioNz24LrcMw6Xi/zj3+k/eAH4HJBeDhcuTJf3obdbr9a1aMD\nAPmlTw8damho8IylBeIHB377MtAx+P1vwP7V2L53xt++zvR/f9y3b9+pU6fkd28DAHj1+1AT\njBLorOJ1OQsKCrKzs5dShpfbwJZZfKqjobW1NdD9I74Je6Uw8Da8NW672oGBgatXrzqdzqys\nrPj4+MTExLS0tO7u7nPnzo2odfIjQOWSqQicBKLLHrjK+5yAr3Dg4ODgBIXDwXn8cdonnwAA\nZGbCyZPwdbrinKLX6w8dOtRU0hALILCpTh8/7r1wobi4+MEHH5wow2BEBMFzDd5tA0iG2mbI\n/PpqpFQqj/zjm/f/6mTY2f36iFXlmLMqXLj9HlnKsTJYmQ8/fQ62rYZYEdjV0D8AN87Ce6fh\nl5dg2cwdXuxTHvcvb8qnSfgpeH86Yqve3t7//Oc/HA5HCAAArpxvvf3vbwGAvqZGoVCkp6ff\ntPVYMwAAAB3+Mwj/mcicnp4epVKZnp5OIHz5LlEolPDw8P7+fqVSyePxxtgnQOWS4AROpqTL\nPqnK+2yCr3Dg4ODgBAN11y7kbbjvuguuXZsvbwMArl69WlNTEx7GJQKA06DVaOrr619//fW3\n3nrLOlE7Egr837NAxeCPvwMnwNl9IAco+r6/t+H1es+dO1enEjUlkMDcuZGYnJWVpdXaPl68\nQ/9AHJgb4fndkCoFOvXLi+Ijz8HZVnCP/5qzhsfj8Xg8Y+b5TrbYMzVsNpvX6x3hydHpdKfT\nOe67HaByyXQETgLSZe+DAFXeZwfc4cDBuW3BdThmFWJHBwDY9+61Hzw4jw04HA5Hc3Mzl8sd\nGjbZAMBlZzAYYWFhJpPp2LFjJ0+enOhy+3UEoRPePgTAhiduSvdRq9UdHR0SSWzvusVOsMSV\n1FGJxISEhCEVVv/0f+DMa7CzGCLFQKWAQAYZS+F/fgFnr8Dy2T7oMRAIBBwOZ4Q4rNVqpVAo\nAoFgBl+IyWSOVoqz2Ww0Go3FGtNRCFC5JFiBk8B12RvegklV3mcTPKSCg3PbgutwzCqO06cd\nzc3Y0qWMeVVYslqtdrsdALp14u/ddReqlWAACAQCCoVSW1u7ZMmSuK8iCF6N5ua9/SII3zXA\nhyMnN5vNDoeDz+djOd/a9+9voUEymezxeMxmJ2x6AtY/MbuHFzB8Pj8jI+PMmTODg4NhYWFE\nItFoNHZ1dSUnJ6ekpMzgC8XFxUkkkq6uroSEBLSg4nA45HJ5Xl6eRCKx2Wyj9ghQuWSKAidT\n1mX3wBtvA/DHVnmfE3CHAwcHBycYvDIZNmbAfm5e3ettaWnp7e1VqVS9vb1ms9lqtfonELjd\nbolEotPpFArFlBXMvoJGo5HJZKfzpnIGpPtOoy2ItjD+rF27FsOwGzduoJxZJpOZlZV11113\njdnyN2ikUumqVau++OKL2tpaFovldrudTmdSUtK6devmU5NjUl12+yl4vx+k3w1I5X12wB0O\nHBycW5aRggRsCE+C9bvhhSeB/Q4Ivj3J7jsPw687xp0h4qsf73FkD0g//h6MUQUZoNbCtHA6\nnSdOnLh+/bpWqyWRSHK5vL+/n0gk+hwOg8FAo9FCQkI0Go3bHXxKhUQiiYiIqKmpEQqFvs4y\n/f39IpEoKmoipYp5gclkPvDAA9nZ2Uql0ul0CoXCpKSk2XCMVqxYER4eXltbK5fLaTRadHR0\nXl4en89HS02jCFC5ZIoCJ2tfh3P/C+ACRfM4qio38/EboAV49n/mq5cv4A4HDs5tzB2nw+E0\nQ3c1/Kcajl6GL7ZOd4brn8KYaaBfyR5Qj56hnzli95esCEJEISiqqqquXr3K5XKzs7MJBEJs\nbOyJEydaW1tbW1tlMpnD4aBQKDExMWw22263TyeDgUQirV69WqvVNjQ0cLlcCoWi1+uZTObK\nlSvj4+Nn5mBmmri4uKBXdAInNjY2NjbA4EeAyiXBCZwEqMuugDdPAKTDY3kBzzzz4EmjODi3\nLXeKDodPkMA0DF/8AxIpMHwM3ky5SX6g/XcAAMWv3TT44faJZvjz1bFfxSd7YLzK/MdFvy2m\nIqIwPerr691ut0wmQ5WZHA7n/vvvl8lkTqfT6/VGRkbm5ubGxsb29PQkJCQkJCRM57USExMf\neeSRNWvWiMViJpOZkZGxa9euTZs2+YpCcSbnfx4FCEC5JMDNxmAsVRV/2vfBJRcsfwySpzjx\njII7HDg4OLcL7BBY8z149WEAgKqq2ZrhS9mDR7wAxObmr39DvxZRqIQXHoJU2dfFog8/B2dn\nTJrC6XTq9Xr2zXUxdDq9sLAwPz8/OzubzWbrdDqNRpOXl7d161b6tLXVZTLZ9u3bn3766aee\neuo73/lOTk7OwmogsvDJ/T/4VixYy2BlPvzmA2hRgAMDwxA0VMJ7v4UNxVA6lc3GRLoXvhUF\nQ+/AG32jnvPCm2+BlwL/89AYO84heEgFBwcHZ+og2QMWy+sbmY6Igh9ms7mysrK3t9doNMpk\nsvT09OTkZP/lBDKZTKVSRyRyIlasWFFcXIw6iQiFwuTk5MAkvUfi9XpdLteIfclkMnnhdTy/\nRRDA30+BbSvsb4Tnd8PzI56VwC+mtNmYjK/L7roI73QA637YOc/t9/CzBwfntmXz5s3x8fHJ\nyfO6ijqXWNRQ+TH88D0AgNzc2ZrBqoEbx+En7xGA5Fq76iuHI1gRhZtRKpWHDx9uaWkhk8kU\nCqW5ubmmpmblypUbNmzw+RxEIjEpKam9vd1ut/tWL8xms8fjSUhISEpKSkpKCtoArVZbWlra\n2dlpt9tDQkKys7MzMzPx9YwZgJYE79fC3jfhrY+gpBGUBmCFQEQU5G6A3Q99rVwS4GZjEvFN\n2PsbeONteOt5+K5fY7Zjb4ASYO9jMJPFOsGAOxw4OLctd4oOx6gmXhC6FZ6ZSn5mIDOMkj3w\nPPR307d8io1TFFEYhwsXLjQ2NiYnJzOZTADwer09PT3Xrl2Lj4/3T8UoKCjo6upCel9MJtNi\nsVgslszMzNzg3KyvkMvlhw4d6ujoYDKZFAqlr6+vpaWlr69v69atYyp44kwROqwPRLlkss2m\nqsv+wAHwHpiKnbMFfg7h4ODcLlCYEJMD3/kTVH08doHJDM6Q/IDrhW+4g4lXjItOp+vo6AgJ\nCUHeBgAQCISYmBi1Wt3d3e2/pVgs3rNnz6ZNm4RCIXp4991379q1a5qCExcvXmxra0tJSUlM\nTIyJicnMzKTRaOXl5VNofoaDMz74CgcODs4tzpeCBLM8wyjZA+q2MPLpH7u+DJZPUURhLKxW\nq8Ph8HkbCBRJsVgsIzYWCoVbt2696667zGYzh8MJLlfDH51O193dHRIS4i9cERERcePGjd7e\n3tTU1GnOj4ODr3Dg4Ny2nDx58m9/+9vJkyfn25Dbia9kDx6VQsMrrHf6vxqPh+USgD74pDro\nqRkMBpVKHaGN7fV6vV7vCC/EB5VKFQqF0/c2AMButzudztElLQQCYbS7g4MTBLjDgYNz23Kn\n6HDMAxz47cseOkZ59S8Ux1djwYsofIlQKIyLi1OpVA6Hb1Lo6+sTiUQxMTEA4Ha75XJ5U1NT\nb2/vOKKWwcNiseh0+oh+p8jdmVlpcJw7FjykgoODc9uCYZhKpbJYLDytOXRmp5buxR59mfav\ng8z3fuz8QSIAElE4BG+Wwcp8+OlzsG01xIrArob+AbhxFt47Db+cXIpj9erVarW6paWFTqdT\nKBSTycTlclesWJGYmDgwMHDhwoW2tjbUmDQ8PLy4uDgtLW2mDojL5SYmJl64cEEkEqGup16v\nFwVZ5kC4E+dOAHc4cHDuIBQKxdDQkMPhEAgEcXFxM7IUv2Bpa2u7ePFif3+/0+lk2qufAuA7\njTM3PcXz4x9h//0h5bVX3Y//HVgwPRGFL5FKpcuWLdPpdJ2dnSQSKTExccuWLZmZmRqN5vDh\nw21tbeHh4SKRyG63Nzc3azQaMpk8g2XPPnfH6/VSKBSLxRIaGlpUVLRgVcxxbi1whwMH57bF\nX4cDw7Dz589XVFRoNBoMw9hsdlJS0oYNGyIjI+fbzFmho6Pj0KFDCoVCJpPx+XxzH5gB+Kob\nep2OP43eIjcRvte68/e89w5Q3v05PJUIMD0RBQCXy/XZZ5+Vl5drtVrkVej1+qampuTk5Nra\n2o6OjkWLFqGMTiaTKRAIamtry8vLZ9DhEIvFe/fuvX79ek9Pj8lkkslkaWlpiYmJMzU/zh0O\n7nDg4Ny2+OtwXLly5dSpUwwGIyEhgUwmGwyG69evW63WvXuK1GxTAAAgAElEQVT3crnceTRy\nWowrSAClpaWDg4OZmZlIQIKT9uCRV7e2trZur6lZvXp1IDMEsA0d+0uD+i/AYDD8tEUD1FoY\ng/r6+mvXrtFoNNSSDQDUanVZWZlMJuvv7yeRSP71IwQCQSgUyuVyq9U6XkppEKDGbCtXrpyp\nCXFwfOAOx5d4vV4AMJlMo/VtvF6vyWSaD6OmjMvlurWsRf84HI7pdNCeY5xO5y1kLWJ4ePja\ntWsejycsLMzj8TidTgaDER0d3dTUVFVVlZc3nw0k/UFvrNlsnuY8Nputq6uLxWKN0P92u91t\nbW3TVMfynw3943Q6PR7P9CesqanRarUZGRm+pFE2m+3xeKqqqhgMhsvlGpEoimGY3W43Go2B\nn5BerxfDsFvlJwL9LAOA2WwmEAgul8tgMLjdbj6fT6WO14V9PkEfxK1S1OM7aad5SgR+8uMO\nx0243W7fKT5ifO6NCQJk/K1ire809Xq9t4rNMJVv18JBrVYbDAY+n+9vPI1GczqdGo1m4bz5\nM3UCYxjmcrkIBMKID4tAIMygvzjjJ7BWq6XRaCNsZjAYRqNRKpU6HA4Mw/xVxnU6XVpaGo1G\nm9KrezyeEdtbLBa1Wo3ar/B4vGkexWzgcrkaGxvLy8s1Go3H4+HxeLm5udnZ2QvN7UCf3cL5\nQk2M72I3zRMYdzimDFrA5PP5vhUOr9er0WjQU3w+fz6NCxiLxWK3228ha5HkAJ1On8E14VlF\nrVbfQta+8847nZ2d8fHx69atYzAYNBpthOVUKpXFYi2cE8Zms1ksFh6PN83W51wuVyaTNTc3\n+x8v+lmMi4ubqeNF1gIAjUZDZR3TJCQkpKenZ7TwF5/PX758eW9vb3d3d3x8PIvFcjgcfX19\nYrF4xYoVgqmkpGg0GhqN5us0i2FYWVlZWVmZTqfzeDxcLjc/P7+wsFCn07W0tOj1eiaTGRER\nsWjRonmRNtdqteii2NjYeOrUKZPJFBISQiQS1Wr1qVOnHA7H1q1b596qCbDb7Wazmcvl3hJK\n8A6HAy1sUKnU6VQ+4w4HDg4OHD58+OTJk1u2bNm1a5dQKESXKN+zJpOJTqeHhs5wuehCgEgk\nLl68uKenp7OzMzo6mkwm2+32jo6O8PDw9PT0+bZuXOLj46urq/V6vc8lslqtZrM5OTk5Njb2\nnnvuOX/+fE9Pj91up1AoUqm0sLAwJydnOq94/vz506dPk0gkdCHXaDTHjh0rKyvzer1DQ0ME\nAsHr9XK53Ozs7HvvvZfBYMzEUU4Zk8lUUlJit9t9n11ISEh/f39VVVVWVlZUVNS8WIUTBLjD\ngYNz+0Oj0QoKCpRKZUtLS3h4OIVC0ev1CoUiKytrBoUcZhC5XD4wMGCxWPh8fkJCQhBprXl5\neRaLpaSkpKmpyePxUKnU6OjotWvXRkdHT77zPJGTk9Pe3l5dXa1QKNhsts1ms9lsaWlpy5Yt\nA4D09PSYmJiuri6j0chisSIjI/3dxzHp6urq6OjQ6XQ8Hi86OjolJcX/WbVaXVlZSaPRYmO/\n7DjH5XIbGxvPnj2bnJyck5ODwjfDw8MlJSVisXjdunWzc9yToFQq1Wq1TCbzH5TJZI2NjXK5\nHHc4biGCcDhcLheZPNl+WF+fOipKGpRNODg4M87SpUsBoKSkZHh4GJXFFhcXr1mzZr5uW8fD\n5XKdOXOmvLx8eHgYOQoxMTFr1qzJzMyc0jxEInHNmjWpqan9/f0oTBMfH78wExR8MJnMnTt3\nxsbG1tXVmUwmgUCQmpq6bNkyn9lsNjvA98Hj8Zw5c6a0tFSlUhGJRLfbLRAIlixZsnz5cl+p\ni1Kp1Ov14eHh/ju63W6NRiMQCHzJIqGhoQaDoba2tqioaF5yJjAMc7vdI646JBLJ4/FgGDb3\n9uAETRAOx7Enikq2HvzdlsjxJINcvcd/tvPR3mc0h7ZPyzYcHJxp4a/DQSQSly9fnp6erlQq\nkfCXTCabZqrEbFBdXX3+/HkqlZqWlkYikVAoxGq1CoXCiIgpd4CVSqVS6a1048NgMIqLi4uK\niiwWC5PJDDoVoKGh4dKlSwQCISsrC33KQ0NDV69epdPpxcXFaBuPx+PxePyzUAHAZrONflEO\nh2OxWEwmk0gkCs6e6cDlcplMptFo9HeOTSYTg8FYOOlHOIEQxNnsUZe+sjW76NkTfa7RT2J9\nx54pyrn3z+XaWy+THwfnNmPHjh0vvPCCvxoHkq9OT08PDw9fgN6G2+2uq6vDMCwmJgZdCOl0\nempq6sDAQGNj43xbN3cQCAQ2mz2dxMPm5maDwRATE+P7lKVSqdfrbW5u9tUmCAQCNput0+n8\nd3Q6nWQyeUTiKoZhZDJ5vkpCpFJpYmLi4OCgXq9HI1artbOzMyYmBpdAvbUI4oRetGpNGEFb\n9qd7cop/cqLfz+nA+k78uCjn3ldKdQTJuhefWDVjRuLg4NwRmM1mVL7rP0gikchk8vDw8HxZ\ndSuiVqtH11Kx2Wyj0egT85DJZKmpqUqlcnh4GDVp0+l0VqtVJBL5a967XC61Wh0dHT1fLdyI\nROLGjRtzc3OHh4drampqamp6enoWLVp09913z0hxEM6cEURIZdETZ2tSfrn7oV+fL/nzPTnX\nfvTOwd9viYTe4z/b+egr5VovSbr2xf37n1stuQWqgnBwcBYSRCKRSCSOrrLzeDy3d9uXSfF6\nvVNakWIymSNEzwAA5e743kkikbhp0yYCgVBXV1dXV4e6wm7cuNFms7W3t+v1eg6Hg5Ra4uLi\n5ld7NCQk5OGHH25sbBweHna73WKxOD09/VapTsfxEVSVClGy7pdna4pe3r3nVxdKX9maXfLI\n3d5j75bpgCRb/4sD7z9fHIo7Gzg488/JkyeRDsfevXvn25aAYLPZYWFhzc3NERERvuur1Wol\nEAgjihTmC6VSieR5QkJCfGoWs4fRaKysrOzq6jKbzRKJJDMzM0BJjLi4uOrqarPZ7DMSiS5k\nZmb6Z1/y+fwdO3YsXrwYLXKIRKKkpCSHw1FaWnrjxg2r1cpgMIqKilauXDkit3TuoVKp06wB\nxpl3gi6LJYatfelcTdFzDzzw+9LSd94FIIZt+OUH7/98VQjubODgLAx8Ohy3isNBIBByc3P1\nen1dXV14eDiNRjOZTMPDw2lpadnZ2ZPurtPprl+/Pjg46HK5ZDJZTk6ORCKZKdvMZvPFixer\nq6uNRiMA8Pn8jIyMJUuW0On00Rujxu4qlcrr9YrF4ri4uNFeAoofMZlMHo83pg+hVCoPHz7c\n0tJCoVCoVGpHR0dDQ0NhYeHmzZsnXe1YsmRJa2trbW0tm81msVioD1xKSspoGXsikZiUlJSU\nlOQbIZPJ69atKyoqQubhYQucmWI6OhxYX/nJL5oNXz7ymBW9AzoHhCysIjscHJxbicTERB6P\nd/nyZblcji54q1atWrVq1aRSHJ2dnUePHu3u7iaRSEQisbKy8saNG5s3b87Kypq+VR6P5+TJ\nk1euXBEIBKhYRqVSnT592mAwbN68ecTGBoPh9OnTdXV1KMmRy+Wmp6ffddddvhIPvV5/9erV\n+vp6q9WKBEKKiopiYmJGzHPx4sXGxsaUlBRfdUZfX19JSUl8fPwIRY3RsNnsXbt2RUVF1dfX\n22w2Ho9XUFBQWFgYeFyGSqWGhIQEuDEOTiAE63BgfZ/+dMejfynXA0m24YVfrqv/7fMf1735\n8JLyi/8+/NruZNzpwMHBCZLU1NSEhASVSmW1Wvl8vlgsnvQy6XQ6z5w509nZmZqainQmXC5X\nS0vLuXPnYmJipi+/0dfX19DQEBIS4iuyjY6O9nq9jY2Nixcv9glnAYDH4/nss8+uXLkilUqR\nMqZGo7l69SqGYXv27CGTyRaL5dChQ7W1tXw+n81mOxyOsrIyuVy+a9cu/3kMBkNnZ6dYLPav\nBY2MjEQpk5M6HADA5XI3bty4du1ak8nEYrHQ24LiQTg480IwDgfWd+KnO/f+pUwLJOmGlw6g\nMMr21a89tuOZT+rf2pNbcfFfh/62J2WMdUYcHJw5xF+H49aCSqVOKWmgv7+/v78/Ojrap2pF\nJpPj4uJQ/5FAwjETo1KpDAbDiMu8WCxua2tTq9X+jsLAwEBVVZVKperv70fbZGRkREREtLa2\ndnd3JyYm1tbWNjY2xsXF+Yo+JBJJfX391atX/eex2Wx2u32ELBuBQCASiVNqRkqhUIRCYRCH\njIMz4wThcJx/Iuee/6BqlAP7n1v1ZTUKP/cHR6qX/fWxHc9+Uv/GQ7nlF9858ca2yBm2FgcH\nZwr4K3DMNnq9XqVSeTwesVg8qTwUhmE6nQ7pj81I6iVqBBgWFuY/yGQyHQ7H9JvdAwCqGh0x\niFqNuN1uuVzudDppNJpEIrl8+fKpU6fMZrPH4/F6vUQisaGhYfXq1VarVavVAkB/f7/L5fIv\nMSWRSCKRqL+/3z/Hk8Fg0Ol01N3Q3wyPx4MnVeDcogThcGg1WoJ07S8O7P/FqhGlr/zcp4/c\nWP7qYzufPVL35gfluMOBg3MH4HQ6r127VlZWptfrUevwJUuWFBUVjXddRHfzSqUSwzAOh7N4\n8eLly5cH6HZgGFZbWyuXy61Wq1gsXrRoEVoIodPpVCrV6XT6p3A6HA4KhTJmUudUEYlEXC5X\nq9X697rTarVkMrmqqurcuXPotdhs9vnz51UqlVgsRspddrtdLpefP38+OzsbBYaQstaI+clk\nstvt9hfqRlrsFy9eFIlEvvrPvr4+oVA4OtsDB+eWIAiHI2T1i2f/8Ys14+hs8PKf+vjG8lcf\n3VExTctwcHAWOB6Pp6Gh4fDhw2VlZRwOJzY2ViaTabXazz77zGQybd++fXTxRXV19dGjR3U6\nnUQiodPper3++PHjSqXyG9/4xqQtmvR6/ZEjRxobG5H8tsvlOnz4cHR0dHp6emhoqFgs7uvr\n81WNer3e3t5eiUQyI93aYmJiUlJSSktL0RIOAKhUqsHBQYfD0dzcHBkZGRYW5nK5KioqWltb\nKRQKSlwFADqdLhaLh4aG4uLiUMmMSCRyOp0ej8f/zTEYDKOVtVatWqVSqXxVKmazmcfjFRYW\n3ooxMhwcCMrhKP7+S5Nswc976ugNvWGSrXBwcGaXWdXhcDqdn3766ZUrV8rKytBD1Es9KyuL\nSqXW1dXl5ubGxcWN2OXq1at6vT49PR3d7guFQrVa3dDQ0NLSMmnj+IsXL16/fj06OprP5/f2\n9l6+fLm7u9vj8UgkkqioqISEBDKZXFdXx+VyiUSiXq8Xi8VFRUUzUmpBIpG2bt1Ko9Hq6+tb\nWloAgM/nx8XFdXZ2xsbG8vl8lDvC5/PdbjeDwcAwzGw202g0AoHgcrmcTiePx0N9TVNSUqqq\nqlpbWxMSEigUitfrHRwc9Hq9WVlZI1wuiUSyd+/eiooKpMMhlUozMjJSU1MXoCY9Dk4gzFp7\nej5/QbdlxMG5A5hxHQ4U0ejs7BweHrZara2trUhGQigUUqlUg8HQ1dUlEAhiYmIaGhqGh4dH\nOBwqlUqlUoWFhflfMsVi8cDAwODg4MQOh8lkampq4vP5fD5fLpefPXt2aGgISWHSaDSNRmM0\nGpcuXZqRkaHVat1ud2pqakFBQWJi4owcOADw+fwHH3wwPz9fpVIRCITQ0NDr1693dnb6R44o\nFApajQgNDTWZTEhEnEAg8Hi8xYsXo6OOi4vbsGHDxYsXm5qaUF6ISCQqLi5evnz56BflcDhr\n165du3btVJVGcXAWILPmcODg4NxemEymd9999+zZs0iVcnh4mEwmowIQdC3k8Xhms3loaCg2\nNhalN46YweVyjW5P6ntq0le32WwsFsvr9TY1NWk0Gj6fz2KxdDodCluo1equrq777rtvyZIl\nqK/9DB331xAIhJiYGF8KRVVV1YgNwsPDWSyWyWRCBbR2u93j8QwPD0skEv9KmaVLl8bFxbW1\ntRkMBhaLFRERkZCQMOlLz+ih4ODMA4E4HH1X3r/cO+WZo4seWhk1dYNwcHAWJidPnjx48CCG\nYQKBgEwma7Vao9FYW1sbEhJitVqR1gWVSrVYLFqtlsPhjK5VQS6C0WgUCAS+QYfDQSKRJu0z\nTqVSKRQKhmEWi0Wn05FIJNQTBFWCoPJRk8mk0+kmzQWZKYRCIZlMttvtvu4kIpEoIiKis7Oz\nra0tNDQURXaIROLKlStHlOaGhob655/60Gq1VVVVg4ODGIaFh4cvXrx4ROkNDs6tSyDfzIpX\nH3744ynPvO0w7nDg4Mwr/jocFoulublZp9Oh6s3ExMQpdT93OBxnzpwxmUwpKSnois7n871e\nr8lk4nK5JpOJQCBwOBwMwzAM6+joiIyMlMvlFoslKioKZVkCAI/HS09PP336NJ1ORxmUNput\nra0tLi5uUiUrdC2vqqpCVSeoJNVut6O26SjiMN7yiQ+VStXd3W0ymTgcTnR09DSFz1NTU2Ni\nYtrb2+Pi4kJCQlwul1wuz8zMLCwsbGtrUyqVLpcrJiZmzZo1O3bsGKGoMSbt7e3Hjh3r7Oyk\nUqkEAqG6urq2tnbTpk3T1xGZGIvFolQqkcyaTCab0omBgxM4U7gVoDB5zCn0a2TN/IImDg7O\nVPDpcLS3t586daqzs9PpdKKUgqysrC1btgSugWEymQYHB5lMpm/9gMvl6vV6JEWVlJQ0MDDQ\n09NjNBopFIrNZlMoFB999BGFQpHJZCtXrly2bBkKCqxZs8Zms9XW1tbU1AAAhUJJTk7esGHD\npOJUBAIBVW10dna63W6n04m8HCqVOjQ0pFarHQ7HokWLfEqgoykpKUGK6W63m0gkymSyFStW\nrFy5MuhoBZfL3bx586VLl3p7exUKBYVCEYvFa9euXbVqlcPh6OvrwzAsNDRUIpEE8hIOh+Ps\n2bNdXV2LFi1C8SB/sdRJV4CCw+v1Xr9+/erVqwqFwul0stnslJSUNWvW4MsqOLPBFBwON1m8\n5P49e/bs3rY6mTfRXQQODs4CwmAwHD9+vLOzMzExESk6KJXKy5cvMxiMe+65J8BJSCTSiKum\nSCQymUxardZisYSGhiJBqpSUFLfbzWazExMT6XS6w+Ho7u7+/PPPORxORkYGALDZ7AcffDAr\nKwtd4QQCQWpqaoB+j1gszs/PR6JhAwMDJpOJSCQidXCFQkEikbhcbnx8PKp5USgUAoEgNjZ2\nyZIlNBqtqanp888/t1qtKSkpKDTT09Nz+vRpPp+fmZk5xXf0ayIiIh588MHh4WG73U6n06VS\nKVo1IZPJqampU5oKiaJGRUX5sk/IZHJ8fHxPT09PT88sLXLcuHHj008/NZlM4eHhFArFZDJd\nuXJFq9U+8sgjkzavwcGZKoE4HGteOPgn6f79B0/VnN/38vl9L38vbMmWXXv27Nm1JVdKm3UL\ncXBwpkV7e3tPT09ycrJPAksikdjt9vr6+qKiogBvnQUCQVRUVGlpqcvlQoscFAolJCRErVbH\nxMQwmcyYmBiXy9Xa2trR0REdHU2hUOLi4mg0WkpKSk1NzY0bN5DDAQBEIjElJSWQbiD+VFdX\nX758ub+/3263SySSkJAQJGXhcDjQEUVHR3O53P/+979yuVyn07FYrJaWlsrKypaWlu3bt9fX\n12s0mqysLOQ2USiUxMTEmpqa2traIBwOFEtCwl90Oj0xMXE66p8KhaK0tLSkpKSsrCw6Ojoh\nIUEqlSI7GQyG3W6fEbHU0bjd7rKyMoPB4KsPYjKZHA6nra2tvr6+sLBwNl4U504mEIdDmLXj\nmdd2PPP/tE1nD+/fv//A0avXj/z1+pG/PsNPWrNtz+49u7cVJ3DxoB8Oznzh8XgaGxu7u7u1\nWq1IJIqLi0tNTSUSiUiHw2q1ulyuEYKbPB5Pr9frdLrA1+rvvvvutra2jo4OoVCI4iYmkykt\nLe35558XCASffvppZ2enRqOhUChGo7Gmpkan0+Xm5lIoFD6fr1AoMAzzJVcGyNDQ0PDwsMfj\nMRgMFy9e1Gq1sbGxDAZDqVR6PJ6wsLCUlBQikUilUqOiovh8/hdffDEwMJCcnJyTk4NmMBgM\n1dXVUql0aGiIzWaPWKThcrkKhcLnQgVIX18fCqNYrVYymZyWllZcXBy0w9He3n7kyJHe3l4M\nw1wuF/oQk5KSFi1aBAAOh4NKpQaS/xEEer1erVaPyO1lMplut1upVM7GK+Lc4Uzha0YWLtr0\n+G82Pf5rS1/J0QP79+8/dLbh3Fsvnnvrxe+F59+9a8+ePTs350jwzA0cnDkFCXBdv37dYDBQ\nqVSHwyEUCnNzc7du3Yp0OAoKChYvXjxiL5THEOCF1uPxGI3G1atX63S6EydOoDQIKpWakZGB\nylA/+uijjo6O9PR0g8Hg8XhCQ0OtVmt/f39YWFhsbCxaiphSqoTNZjt//vz169d1Op3X60V9\nRjZu3Iiu6zQaTSAQoAKQpKQkl8uFJLaMRiORSETt4xE8Ho/FYjU1NZFIJLfbPfq4fJKgAdLd\n3X3w4MG+vr6QkBAajabVas+ePavVah999NEg3AKXy3X+/Pne3t709HT0JqN+NJ2dnRKJRCgU\ndnd3h4WFzYhY6mhQg5gxD3904xgcnOkTRP0YgRVVuOenhXt++qqq9tTB/fv3f3CsrOKjVyo+\neuVHgtR1z79/6kcjf9twcHBmjaqqqpKSEoFA4FPZGhwcLCkp8V13aTQah8NRq9W+ahEAUCgU\nsbGxY1Zm+mOz2SorK6urq00mE5VKjY+Pf/LJJ00mk0qlkkql8fHxcXFxVqu1q6sLLXuIRCLk\njjCZTK1Wq9FooqKiDAZDbm7ulFYRzpw5c+7cOaTmCQDNzc0qlaqurq6goIBIJNLpdBqNZrPZ\nqqurh4aGkOqGVCq12WyjdUUZDIbNZktKSmptbfVfZXG5XCaTqbCwcEoOx9WrV/v6+jIyMkgk\nEuoFYzKZGhsba2trly5dGvg8CIVCMTAwEB4ejt6c5ORkh8Oh0+mGh4cbGxu5XG5oaGhRUZH/\nBzeD8Hg8Pp/f09PjX63jdDoBYNL2ezg4QTCdgnVKSNbWJ7K2PvEHU+e5N372/ecOt+uaT5d0\nAe5w4ODMHY2NjW6327+sQCaT1dfXNzc3o4dsNjs9Pb2iosJkMiHtbYVCwePxVqxY4WvmPiZO\np/Pjjz+urKwkk8kcDsdgMJw/fz4+Pn7nzp3+qwhOp9PlcqELeVRU1ODg4ODgIHohrVbb0NAQ\nFRWVl5cX+BEplcra2lo+nx8ZGQkAXq+Xx+PZbLahoSGVSiWRSFCxjEKhYDAYUVFRJBLJbDaX\nlJQwGIzRywx2u10oFC5durS/v7+xsTEsLIzJZKLZ4uLi8vLy3G53e3u7Wq32er0hISGJiYnj\n1daaTKb+/n6RSOS/AYfDkcvlAwMDgR+gv20YhiEJEwCIiIhgsVhdXV0NDQ0MBmPFihV5eXkz\nKJY6AgqFkpubOzAw0NnZGRkZiZJGu7q64uPjJ5WZx8EJgukp5HgtPdc+/eDAgQOHzjRoMAAg\nMFnMmTEMB+dOxOVy9fX1IfVMqVQ6abGoy+XS6/W+bqI+mEymWq3etGkT0uG4//77JRLJ9evX\njUYjiURKTk5esWLFpMmS9fX1N27cCAsL893vYhjW0NBw+fLl3bt3+zZjsVgsFksulwMAl8td\nsmRJa2urWq02Go0ymSw7O3v16tVTCgqgfX0+DYFAEAgECoUCpU9KJBKPx+PxeMhkMpfL1el0\nSJNDJpOhQMDw8LBv5cZqtRqNxuXLl0dFRe3cufPChQudnZ0qlYrBYCxdunTVqlU0Gu3AgQON\njY1GoxHDMDKZnJKSsm3bNn+PygeGYW63e/RSDYlEGtFHPkBYLBadTrdarb6SEIFAkJWVRaFQ\nduzYUVRUFMScU2Lp0qUOh6O0tLSjowPDMCaTmZmZuX79+llaU8G5wwnO4cDUdWcOHThw4INP\nS/osXgAgC9M2bt+9Z8/u+1bGzKh9ODh3DgMDA+fOnWtra7NYLGQyOSQkZPny5YWFhROIWZHJ\nZAaDgZbB/UGaCtu2bUMP2Wz2hg0bli1bptPpUOAjEOXv/v5+m83mv7qOpCZ6enqQdpZvMCMj\no7u7G13pRSJRfn4+WtjYsWNHYWHhVHNFR2d7REdHK5XKzs5Ok8nkcDiGh4cHBgZQqYvX60UH\nGx4e3t7ezufz9Xr98PAwKpd1Op1paWmo4CIiImL37t2o6wqXy0XHtX///rKyMlS2MzQ0pNfr\nKyoqysvLn3jiiYKCghHvPJvNZrPZcrncX+3D4/G4XK7gWsRJJJLY2NiysjIej4fWZjweT0dH\nh0wmS0pKCmLCqUIikdasWZOeni6Xy202G4phjcgvxsGZKabkcHjNPVePfnDgwIHDZxs0LgAA\nRsTSB7+xe8/unZuyQ/F0UZxbG4fDodVqSSSSQCCY6jVy+hiNxiNHjrS0tERGRoaHh2MYJpfL\nT5w4QSKRJi5QTE5ObmlpsVgsvkIJk8mEYdjopXgOhzOiAfrE2Gy20b4OlUrFMMzhcPhPtXz5\n8uHh4draWrlcTiKRUAfXlStXFhcXj/YekEPgcrmEQuGYAlNisZjH46nVatReFY3ExsbabDa3\n293V1eV2u0NCQpKTk0fU1pJIpIKCgoiICFQEy2azk5KSCgoKfKaSSCR/TfHu7u7W1lapVDow\nMNDR0UGlUoVCIY1G6+zs3LdvH4ZhxcXFI449Kyurp6dnaGgIWY7qSiQSiVQqVSqVvraxAUIk\nEtetW2c0Gtva2ggEAplMttlsMpls9erVcym9NZ7OOg7OzBKQw4Gp6k4dOnDgwAfHSvusXgAg\n8VPWb9+9Z8/uB4rjOXhPIZxbHafTWVlZWV5ejgofRCJRYWFhdnb2XGo8NzQ0dHR0JCcnoztd\nJBTR3NxcUVGRl5c3wYJEfn5+Z2cnivozGAyr1epwODIzM/Py8pBGRdDw+XyXyzWiT6nZbBaL\nxSOkuphM5q5du9LT0/v7+9vb281mM4PBQCWp/l3XXQ+1uPwAACAASURBVC5XSUlJaWkpaujK\n4XCysrJWrVo1ojQ3NDQ0Kyvr3Llzvb29SKZTq9U6HI4HHnhAIpEoFAoymYyqbHy7ICHU/v7+\ngYGBzMzMb37zm4FU4ep0OrPZTKFQ+vv72Ww2imvQaDSn02mz2crKynJyckboXy1fvlyr1d64\ncaO2ttblcrndbjqdjmHY8ePHMQxjs9m5ubkFBQWjg1zjER4e/uijj16/fh1JjMhksszMTJS8\ngoNzmxGIw/HpI7L7PnQBANBledt37dmze9fmJXj9K87tw+nTpy9cuEAgEEQiEVrTHhoaslgs\nK1eunDMbNBqNy+UakfMoFot1Op1Wq53gfpfH4+3Zs6esrKyhocFmswmFwoyMjIKCAjabfeTI\nkc7Ozvj4+ODa0ycmJoaGhnZ2dsbFxaGru0ajsVgsq1atGr3qTiQS0cq8RqNRq9VUKrWzs5PJ\nZDY2Nm7btg2tvly+fPnkyZNEIjEsLIxEIul0urNnzxoMht27d49wDjZs2EChUKqqqnp6erxe\nL5fLzcnJsVgsly9fRj3flUqlXq9HRnZ3dzc2Nvb09HA4nJqaGpVKlZeXt3HjxkkPkEgkEolE\ng8GA3jc0iBwskUik1WoVCsUIh4NOp2/bti09PX1gYAAt1bS2tup0OgaDQaFQhoeHP/nkk6Gh\noR07dgRelcPhcFatWhXgxjg4ty6BfCUwzAUAQAtbvLowjiQv/fBPpR9OvtfSH374dME0rcPB\nmX36+vqqqqpYLJbvtjI0NLStra2kpCQzM9NXQTAvBCiHwOFw1q9fv3btWqvVymQyfbf+SIdj\ny5YtwTkc8fHxq1evvnz5cm1tLVpUYLFYBQUF4/lhzc3NV65cAYDs7Gy0KKLRaCorK6VS6fr1\n641GY0VFBYlE8rViZzKZdDq9qampra0tLS3Nfyo6nb5p06bFixcPDw+73W4ej3fmzJm2trb4\n+HgUH9FqtRcvXmxtbR0aGmpvb3e5XCkpKenp6WFhYXK5/OLFi3w+f9KkS4lEIhAIOjo6/Fdx\njEYjk8kUCAQmk8nlco3ei0AgoPQRs9n8r3/9y2w2Z2VlIQ8sNDRUrVbX1NSkp6dPRzEdB+e2\nZAo5HA5F9eeHqwPe3LU9eIfDa2g6+f4Hpyrah8weZmj84nU7Hr4vRxxA/5agd8S5cxkcHNRo\nNEjY0YdMJhsaGhoaGpozh0MsFpPJZOQx+AY1Gk10dPSktSoI1FhkBk1C/dLi4uJaWlrUajWH\nw4mIiMjIyBjv3r29vV2v1/t3/UDrBA0NDatWrRoeHtbr9SNyBYRCYX9/v0qlGnNCiUSCJCLa\n2tq6u7ujo6N92RhCobC4uLivrw/1qk1PT5dKpSh/QiaT1dbWXrt2LTU1FTkNQqFwzLILqVS6\nePHi9vZ2q9WKKoPMZrPL5UpOTvZ6vWw2WyAQTPD+aDQalCfrH3ISi8X9/f2Dg4O4w4GDM4JA\nHI7ooj17pp61nB+0Np6p+vWfvHxK4UGPDPLGC++8VNv17Cs/KZxEiyboHXHuZFwuF6qx9B9E\nN/QYhs2ZGWlpaYmJiU1NTZGRkTweD8OwgYEBKpWan58fSEXJ7BEVFeVL3pwYnU432lQWi2Wx\nWCwWC9K1HJFDih56PJ6JZzYYDKjTvf8gj8ejUChMJjM2NjYmJgbN09/f39XVNTQ0VFFRcfXq\nVYlEIhKJeDxeTk5OUVHR6JxZFLt5/fXX+/r6+Hw+n8+PjY3l8XgKhaK4uHjizE1UJTs6S5RA\nIIyuG8LBwQnE4ch78v33Z90QH67mA/88pfAwku578snteWEkTcOJf/5lf+2V199ZveRHuRM4\nPkHviHNnw+PxmEymf50nABgMBhaLNZfxFC6Xu23bNh6P19raqlQqUWu0wsLCIPQrfWzevBnp\ncIwYdzqds+HEMJnM0S6a0+mkUCjNzc0DAwNIuWvJkiW+jA0Uv5hU15JMJiNtcn+/0OVykUgk\nOp3u0yxvbW1tbm52uVzDw8M6nc5oNKrV6pycHBqN9vnnnxsMhp07d46ou6FSqXfddVdUVNQn\nn3zS3d0NAHa7nUqlrlixYuPGjRPLsXM4HCaTaTab/ZdtXC4XgUCY30gcDs7CZHrCX7OAu+bs\nhWEgpz38s8fQuoR08c6ffqfrm38uvXqm7H9zV42b+x30jjh3OPHx8bGxsY2Njb6en3q9fnBw\ncNmyZeHh4XNpiUwm2717d1VVVW1trdVqDQ8P53A4qBFJcBPu2LHD/6HVaq2oqGhpaTEYDHw+\nPy0tLTc3N2jRBbScgDqmSiSS0NDQ2NjY8vJyrVbriwE5HA65XM5kMg8fPmy329Vq9eDgoEKh\nWL58OZfLNZvN/f392dnZk2pOyGQykUg0NDSEVjIQg4ODIpEoLS1NLpebzWav19vd3e31eh0O\nx9DQEGqSMjw8XF5evmXLlrCwsIaGhiVLlox2vwAgNTUVRY5QXXRoaGhSUtKkbzuXy01JSTl/\n/rxGo5HJZADgdDrb2toiIiLGfBUcnDucaTocmK7jxvXmfpXRSeWGRC5akhMvmKZ8QXdjgxUI\n2auK/G55WMtX5VFLLzU2tsKqnBnfEecOh8lkbtmyhUAgtLW1oZVwJpOZl5e3adOmCRS3ZomK\niorz588PDg4SicS2trbKysrMzMz7779/+skZJpPp4MGDdXV1JBKJyWQODQ01Nzd3dHTs2LFj\n0hpOp9NZV1enVCqdTqdIJMrIyPB4POfOnWtoaDCZTEQiUSgU5uXlLVu2LCcn5/r160qlksPh\nOBwOg8HgdDoJBEJCQgKHw0lLS6usrCwrK+vo6BAIBKj2ZN26dZO2PZNIJPn5+efOnWtubkYS\nWyqVikKhFBQULFu2bHBwsKamxul0qtVqDMN6e3tRIQybzUZeTmVl5caNG1Hv2fFcARqNlpWV\nNdV3tbCw0GQytbW1DQ8PAwCJRIqKilq/fv1cqmjg4NwqBO1w2Ns+evmZX/zzRLPBL42ewFu0\n9YlfvfLCAwlT0L65Cc/QkBKAHx19UykaOTYmAi51DQ6ZIGcc3aKp7djS0mI0Gv23ROUAGIb5\nbmv8CwTmMpY/HVAs/NayFgDmOFtiNOHh4Xv27GlqatJoNCQSKSQkZNGiRRQKZUyrPB7PpNZi\nGGYymVgs1pRkoHp7e8+cOWMwGFJTU1HsQKPRlJaW8ni8TZs2TemIRttz7dq16urqmJgYX+RI\nr9dXVVVFRUVNXP2rVquPHTvW3Nxst9sJBAKBQLh27ZrD4VAoFL5msEql8sSJExiG3XfffRER\nEbW1tShEFR8f39jYKBaLrVarUqnEMEyv17NYLKvVKpPJ+Hy+0Wg8derUzp07UQwCBUcwDBsd\nyygqKmKxWGVlZagaNjIycunSpTk5OWQy+f777w8JCTl9+rTVarXZbFwu1+v10mg0r9dLoVAY\nDIZGoxkcHHS73Q6HYwbPNLfbzWaz77//ftRT3uFwCASC1NRUoVC4kL+DgZzACw0UqJpvKyYH\nncC3lrUw7VNi0hwsH8E5HNbyX65Z91K5GQAACBQWn0t1GvUWzGtoOvabbRcu/Pr8uedyp9yq\nGQDAbrV6ATgjb+fQ/Z3VagUYx+GY2o6vvfZaeXm5/4ZoYfnBBx8kEAj33nvvPffcg8aPHTv2\n6aefov/x8Vkadzgchw8fXjj2AMCHH34Y3DyoPpPD4aBUAK1W29nZiRImJp2npqbm8uXLGo3m\nwoULAJCVlYXaalRVVQ0ODn7++edTtQepiaxevfqll16qqakBANTXFG2TlZVFo9Hq6uoyMzPH\nm+fTTz/95z//qdVqWSzWkiVLsrKynE5nVVVVQ0OD1+tFKxPIzr6+vtLS0u7u7pMnTyJli4KC\ngkWLFmk0GpVK1djYODg4iGEYhmESiSQkJCQqKio6OrqiouKVV17Zv39/SEiI73WNRuOY9qSk\npDQ1NZ09e5ZAIFAoFD6fj2IxBAJBp9O1tLSoVCqk1OnxeGw2G5PJVKlUOp1OpVKpVKrU1FQa\njWYwGGbv/EGum8FgWFDfr9tg/P33319Q9tx+49P5XgRYvQ/BORyOKz/b8VK5GcgRG378+188\nvrUglksGcBm7y4+9/tJP/3JOXvL8g8+tbv3L8mCy0sa23AuTHlDQOyKQr3f8+HEASE5O9r2h\nLS0tx44dQ//j4/h4IONDQ0OFhYUsFstoNF67dg1d6QOZx2Qy6fX6uro6NC6RSLKyslgsls1m\nq6+vD9oeDMOee+45m82GxLh8DodEIklKSjKZTBPMU11dXV39ZTF8eHh4VlYWlUoVCARI3cvf\nTqFQqFarm5qaTp8+jcaJRKJarW5sbET6p77tUT8X3//d3d0oWzOQ4+ro6Dhz5gz6PzU11X/7\nS5cuof95PF5YWJhSqfR4PCaTCR2gXq9PSUlBze5n6XPHx/HxO3Z8yZIlEABBOBz2o397ow9A\nfO9bZUceCfelVZG5sYUP/fF0ceq9OY+d6Pn3X4/+dvmOqWej0VksAoDJbL552GK2AMBEoeap\n7Yjq7P1H6urqMAy79957CQRCWloa+kHEMCwlJeWee+5BcRbfOPr/vvvu8/2/QMZR5eHCsWfi\n8dTUVPQPkUhcCPYEMp6SknLvvfcCgP954tteo9HI5fLk5GSftpVGozEYDKGhoVKpdNL5mUwm\nn8/36VjIZDLUl4RKpcbGxgZhf3l5+dDQECqmYDAYCoUCtW/1ze90OsViMYVCGW+e6OjoxMRE\nGo1GJpORPQBAp9NpNJpPgwuNk0gku91ut9vj4+PZbDaBQMjKyuLz+aWlpS6XKzQ01OFwmEwm\npAWOBLVIJBLqUkahUOLj49PS0lApygT2TDxusVgaGxtRnTOFQ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xcXga8seItSqdTQ0FB5efnKFzIikchPf/rTiYkJoVAoEomSyeTMzAwQ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\nAABQHIEDAAAo7v8Bt6ANxwEQw6EAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 300,
       "width": 360
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Choose top 10 genes from GeoMx\n",
    "genes_highlight = plt_df[fdr_geomx < .01][order(-logFC_geomx)][1:10, gene]\n",
    "\n",
    "\n",
    "set.seed(42L)\n",
    "fig.size(5, 6)\n",
    "# ggplot(plt_df, aes(zscore, z)) + \n",
    "# genes_highlight <- c('LYZ', 'SPP1', 'C1QB', 'C1QA', 'CD14', 'CD163')\n",
    "# genes_highlight <- c('CXCR4', 'SPP1', 'CCL19', 'CXCL9', 'CXCL10', 'CXCL11', 'CCR7', 'CXCR4')\n",
    "ggplot(plt_df, aes(logFC_merfish, logFC_geomx)) + \n",
    "    # geom_abline() + \n",
    "    # geom_smooth(method = 'lm', se = FALSE, color = 'black') + \n",
    "    geom_hline(yintercept = 0, linetype = 2) + \n",
    "    geom_vline(xintercept = 0, linetype = 2) + \n",
    "    geom_point(alpha = .4) + \n",
    "    # geom_smooth(method = 'lm') + \n",
    "    labs(\n",
    "        title = 'log2FC (hybrid vs immunity hub)',\n",
    "        x = 'MERFISH', y = 'GeoMx'\n",
    "    ) +\n",
    "    scale_color_manual(values = c('black', 'red')) + \n",
    "    geom_point(\n",
    "        data = . %>% subset(gene %in% genes_highlight),\n",
    "        color = 'red'\n",
    "    ) + \n",
    "    geom_text_repel(\n",
    "        data = . %>% subset(gene %in% genes_highlight),\n",
    "        aes(label = gene), \n",
    "        color = 'red',\n",
    "        # min.segment.length = 10\n",
    "        box.padding = .5\n",
    "    ) + \n",
    "    guides(color = 'none') + \n",
    "    theme_bw(base_size = 14) + \n",
    "    NULL\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e80453b7-22b5-490c-8bf9-b0c1022387ef",
   "metadata": {},
   "source": [
    "# Cache"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "030dd2cc-d2fa-4074-adc3-66a26420d275",
   "metadata": {},
   "outputs": [],
   "source": [
    "fwrite(plt_df, 'tables/geomx_vizgen_comparison.csv')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6d8a8627-717e-42da-a7ef-b8487d8528f9",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6c7fc2d0-7cd9-4e84-a7d5-7d6c59af2ef3",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c9fcd9f9-947f-4e18-a4f8-0928e9ec4758",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2ae0580b-41dd-4e98-9cd3-4535e2e8e605",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "4.1.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}