{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/colleenmclaughlin/opt/anaconda3/lib/python3.7/site-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
" import pandas.util.testing as tm\n"
]
}
],
"source": [
"from __future__ import division\n",
"import sys\n",
"import random\n",
"import copy\n",
"import math\n",
"import json\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import scipy\n",
"\n",
"\n",
"%matplotlib inline\n",
"from matplotlib import pyplot as plt\n",
"import matplotlib as mpl\n",
"\n",
"import seaborn as sns\n",
"\n",
"sys.path.append(\"../resources/\")\n",
"import sct_py3\n",
"sns.set_style(\"ticks\")\n",
"sns.set_context(\"talk\")\n",
"\n",
"output_dir = \"out/\"\n",
"output_suffix = \"\"\n",
"output_formats = [\".png\", \".pdf\"]\n",
"\n",
"\n",
"mpl.rc('savefig', dpi=300)\n",
"\n",
"def save_figure(fig, name):\n",
" for output_format in output_formats:\n",
" fig.savefig(output_dir + \"/\" + name + output_suffix + output_format)\n",
" return None\n",
"\n",
"mpl.rc('savefig', dpi=300)\n",
"\n",
"pd.options.mode.chained_assignment = None # default='warn'\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(17472, 2829)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.read_csv('../data/htseq_ORN_nuclei_LogCPM_17plates_addintron_hq50k_neuron2-5.tab.gz', sep=\"\\t\", header=0, index_col=0)\n",
"df.shape"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>pooled_library</th>\n",
" <th>SampleID</th>\n",
" <th>Index</th>\n",
" <th>num</th>\n",
" <th>experiment</th>\n",
" <th>plate</th>\n",
" <th>well</th>\n",
" <th>num_cells</th>\n",
" <th>num_mapped_reads</th>\n",
" <th>color</th>\n",
" <th>genotype</th>\n",
" <th>colorHL</th>\n",
" <th>label</th>\n",
" </tr>\n",
" <tr>\n",
" <th>library</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>N447Barcode_701-502</th>\n",
" <td>N477</td>\n",
" <td>1000100701-A1-flybrain-1</td>\n",
" <td>TAAGGCGA-ATAGAGAG</td>\n",
" <td>2477.0</td>\n",
" <td>13.0</td>\n",
" <td>1000100701</td>\n",
" <td>A1</td>\n",
" <td>1.0</td>\n",
" <td>NaN</td>\n",
" <td>#a3eb13</td>\n",
" <td>nSyb_48h_ORN</td>\n",
" <td>#e31a1c</td>\n",
" <td>nSyb_48h_ORN_P0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>N447Barcode_702-502</th>\n",
" <td>N447</td>\n",
" <td>1000100701-A2-flybrain-1</td>\n",
" <td>CGTACTAG-ATAGAGAG</td>\n",
" <td>2478.0</td>\n",
" <td>13.0</td>\n",
" <td>1000100701</td>\n",
" <td>A2</td>\n",
" <td>1.0</td>\n",
" <td>NaN</td>\n",
" <td>#a3eb13</td>\n",
" <td>nSyb_48h_ORN</td>\n",
" <td>#e31a1c</td>\n",
" <td>nSyb_48h_ORN_P0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>N447Barcode_703-502</th>\n",
" <td>N447</td>\n",
" <td>1000100701-A3-flybrain-1</td>\n",
" <td>AGGCAGAA-ATAGAGAG</td>\n",
" <td>2479.0</td>\n",
" <td>13.0</td>\n",
" <td>1000100701</td>\n",
" <td>A3</td>\n",
" <td>1.0</td>\n",
" <td>NaN</td>\n",
" <td>#a3eb13</td>\n",
" <td>nSyb_48h_ORN</td>\n",
" <td>#e31a1c</td>\n",
" <td>nSyb_48h_ORN_P0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>N447Barcode_704-502</th>\n",
" <td>N447</td>\n",
" <td>1000100701-A4-flybrain-1</td>\n",
" <td>TCCTGAGC-ATAGAGAG</td>\n",
" <td>2480.0</td>\n",
" <td>13.0</td>\n",
" <td>1000100701</td>\n",
" <td>A4</td>\n",
" <td>1.0</td>\n",
" <td>NaN</td>\n",
" <td>#a3eb13</td>\n",
" <td>nSyb_48h_ORN</td>\n",
" <td>#e31a1c</td>\n",
" <td>nSyb_48h_ORN_P0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>N447Barcode_705-502</th>\n",
" <td>N447</td>\n",
" <td>1000100701-A5-flybrain-1</td>\n",
" <td>GGACTCCT-ATAGAGAG</td>\n",
" <td>2481.0</td>\n",
" <td>13.0</td>\n",
" <td>1000100701</td>\n",
" <td>A5</td>\n",
" <td>1.0</td>\n",
" <td>NaN</td>\n",
" <td>#a3eb13</td>\n",
" <td>nSyb_48h_ORN</td>\n",
" <td>#e31a1c</td>\n",
" <td>nSyb_48h_ORN_P0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" pooled_library SampleID \\\n",
"library \n",
"N447Barcode_701-502 N477 1000100701-A1-flybrain-1 \n",
"N447Barcode_702-502 N447 1000100701-A2-flybrain-1 \n",
"N447Barcode_703-502 N447 1000100701-A3-flybrain-1 \n",
"N447Barcode_704-502 N447 1000100701-A4-flybrain-1 \n",
"N447Barcode_705-502 N447 1000100701-A5-flybrain-1 \n",
"\n",
" Index num experiment plate well \\\n",
"library \n",
"N447Barcode_701-502 TAAGGCGA-ATAGAGAG 2477.0 13.0 1000100701 A1 \n",
"N447Barcode_702-502 CGTACTAG-ATAGAGAG 2478.0 13.0 1000100701 A2 \n",
"N447Barcode_703-502 AGGCAGAA-ATAGAGAG 2479.0 13.0 1000100701 A3 \n",
"N447Barcode_704-502 TCCTGAGC-ATAGAGAG 2480.0 13.0 1000100701 A4 \n",
"N447Barcode_705-502 GGACTCCT-ATAGAGAG 2481.0 13.0 1000100701 A5 \n",
"\n",
" num_cells num_mapped_reads color genotype \\\n",
"library \n",
"N447Barcode_701-502 1.0 NaN #a3eb13 nSyb_48h_ORN \n",
"N447Barcode_702-502 1.0 NaN #a3eb13 nSyb_48h_ORN \n",
"N447Barcode_703-502 1.0 NaN #a3eb13 nSyb_48h_ORN \n",
"N447Barcode_704-502 1.0 NaN #a3eb13 nSyb_48h_ORN \n",
"N447Barcode_705-502 1.0 NaN #a3eb13 nSyb_48h_ORN \n",
"\n",
" colorHL label \n",
"library \n",
"N447Barcode_701-502 #e31a1c nSyb_48h_ORN_P0 \n",
"N447Barcode_702-502 #e31a1c nSyb_48h_ORN_P0 \n",
"N447Barcode_703-502 #e31a1c nSyb_48h_ORN_P0 \n",
"N447Barcode_704-502 #e31a1c nSyb_48h_ORN_P0 \n",
"N447Barcode_705-502 #e31a1c nSyb_48h_ORN_P0 "
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_libs = pd.read_csv('../data/PN_ORN_libs_CNM.csv', sep=\",\", header=0, index_col=0)\n",
"df_libs.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"names_ORNs = []\n",
"with open (\"../resources/names_ORN_hq_24h_adult_lamGFP_noAN.txt\") as f:\n",
" for line in f:\n",
" names_ORNs.append(line.rstrip())"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"adult ORNs:\n"
]
},
{
"data": {
"text/plain": [
"(None, 1891)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Get names of adult ORNs\n",
"selector7 = (df_libs[\"genotype\"] == \"ORNnuclei_adult_nSybUNC84GFP_P1\") \n",
"selector8 = (df_libs[\"genotype\"] == \"ORNnuclei_adult_nSybUNC84GFP_P2\") \n",
"selector9 = (df_libs[\"genotype\"] == \"ORNnuclei_adult_nSybUNC84GFP_P3\") \n",
"selector10 = (df_libs[\"genotype\"] == \"ORNnuclei_adult_nSybUNC84GFP_P5\") \n",
"selector11 = (df_libs[\"genotype\"] == \"ORNnuclei_adult_nSybUNC84GFP_P6\") \n",
"selector12 = (df_libs[\"genotype\"] == \"ORNnuclei_adult_nSybUNC84GFP_P7\") \n",
"selector13 = (df_libs[\"genotype\"] == \"ORNnuclei_adult_nSybUNC84GFP_P8\") \n",
"selector14 = (df_libs[\"genotype\"] == \"ORNnuclei_adult_nSybUNC84GFP_P9\") \n",
"selector15 = (df_libs[\"genotype\"] == \"ORNnuclei_adult_nSybUNC84GFP_P10\") \n",
"selector16 = (df_libs['genotype'] == \"ORNnuclei_adult_nSybLam_P2\")\n",
"selector17 = (df_libs['genotype'] == \"ORNnuclei_adult_nSybLam_P3\")\n",
"\n",
"ORNs_adult = [x for x in list(df.columns) if ((x in df_libs.loc[selector7].index) \n",
" or (x in df_libs.loc[selector8].index) \n",
" or (x in df_libs.loc[selector9].index)\n",
" or (x in df_libs.loc[selector10].index)\n",
" or (x in df_libs.loc[selector11].index)\n",
" or (x in df_libs.loc[selector12].index)\n",
" or (x in df_libs.loc[selector13].index)\n",
" or (x in df_libs.loc[selector14].index)\n",
" or (x in df_libs.loc[selector15].index)\n",
" or (x in df_libs.loc[selector16].index)\n",
" or (x in df_libs.loc[selector17].index))\n",
" and x in names_ORNs]\n",
"\n",
"\n",
"print('adult ORNs:'), len(ORNs_adult)\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Adult ORNs:\n"
]
},
{
"data": {
"text/plain": [
"(None, (17472, 1891))"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = df[list(ORNs_adult)]\n",
"\n",
"print (\"Adult ORNs:\"), df.shape"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"antennal receptors:\n",
"adult receptors:\n"
]
},
{
"data": {
"text/plain": [
"(None, 74, None, 62)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#open names of all receptors \n",
"antennal_receptors = []\n",
"with open(\"../resources/genes_antennal_OrIrGr.txt\") as f:\n",
" for line in f:\n",
" antennal_receptors.append(line.rstrip())\n",
"#open names of receptors in adult ORNs >=3 log2CPM+1 in > cells\n",
"adult_receptors = []\n",
"with open ('../data/Figure5/heatmap/adult_receptors>=3>5cells.txt') as f:\n",
" for line in f:\n",
" adult_receptors.append(line.rstrip())\n",
" \n",
" \n",
"print (\"antennal receptors:\"), len(antennal_receptors), print ('adult receptors:'), len(adult_receptors)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"X = df"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(62, 1891)\n"
]
}
],
"source": [
"genes = ['Ir75a','Ir75b', 'Ir75c','Gr21a','Gr63a','Ir64a','Ir92a','Ir84a','Ir62a','Or35a','Ir40a','Ir93a','Ir21a',\n",
" 'Gr28b','Gr64f','Or22a','Or22b','Or42b','Or19a','Or19b','Gr93a','Or47b','Or59b','Or13a','Or92a',\n",
" 'Or7a','Or9a', 'Or65a','Or65b', 'Or65c', 'Or67d', 'Or85f','Ir76a','Ir51b','Or69a','Or2a','Or98a','Or47a',\n",
" 'Or49b','Or23a','Or67c','Ir31a','Ir75d','Gr64a','Or43a', 'Or88a','Or83c', 'Or67b','Or85a','Gr61a',\n",
" 'Gr43a','Or43b', 'Or56a','Or85b','Or82a', 'Gr10a', 'Or67a', 'Ir41a','Orco','Ir76b','Ir25a','Ir8a',]\n",
"\n",
"\n",
"\n",
"Z = X.loc[genes]\n",
"print (Z.shape)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x1800 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Calculate clustering and plot\n",
"cm = sns.clustermap(Z, method=\"ward\", cmap=\"plasma\", figsize=(15,25),row_cluster=False, col_cluster=True)\n",
"plt.setp(cm.ax_heatmap.yaxis.get_majorticklabels(), rotation=0)\n",
"cm.ax_heatmap.set_ylabel(\"\", )\n",
"cm.ax_heatmap.set_xticks([])\n",
"cm.ax_heatmap.set_xticklabels([])"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"% of antennal receptors expressed in adult transcriptomes:\n"
]
},
{
"data": {
"text/plain": [
"(None, 83.78378378378379)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"print('% of antennal receptors expressed in adult transcriptomes:'), len(adult_receptors)/len(antennal_receptors) * 100"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# calculate % of neurons expressing a receptor (not co-receptors)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"69"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"receptors_noco = antennal_receptors.copy()\n",
"\n",
"receptors_noco.remove('Orco')\n",
"receptors_noco.remove('Ir25a')\n",
"receptors_noco.remove('Ir8a')\n",
"receptors_noco.remove('Ir76b')\n",
"receptors_noco.remove('Ir93a')\n",
"\n",
"len(receptors_noco)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"% of cells expressing a receptor:\n"
]
},
{
"data": {
"text/plain": [
"(None, 82.65468006345849)"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cells_receptor = df.columns[np.where(np.sum(df.loc[receptors_noco] >= 3, axis=0))]\n",
"print('% of cells expressing a receptor:'), (len(cells_receptor)/len(df.T.index[:]) * 100)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
