403 lines (402 with data), 186.9 kB
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n",
"Attaching package: ‘dplyr’\n",
"\n",
"\n",
"The following objects are masked from ‘package:stats’:\n",
"\n",
" filter, lag\n",
"\n",
"\n",
"The following objects are masked from ‘package:base’:\n",
"\n",
" intersect, setdiff, setequal, union\n",
"\n",
"\n",
"\n",
"********************************************************\n",
"\n",
"Note: As of version 1.0.0, cowplot does not change the\n",
"\n",
" default ggplot2 theme anymore. To recover the previous\n",
"\n",
" behavior, execute:\n",
" theme_set(theme_cowplot())\n",
"\n",
"********************************************************\n",
"\n",
"\n",
"\n",
"Attaching package: ‘ggthemes’\n",
"\n",
"\n",
"The following object is masked from ‘package:cowplot’:\n",
"\n",
" theme_map\n",
"\n",
"\n"
]
}
],
"source": [
"library(dplyr)\n",
"library(ggplot2)\n",
"library(reshape2)\n",
"library(Matrix)\n",
"library(stringr)\n",
"library(ggsci)\n",
"library(cowplot)\n",
"library(RColorBrewer)\n",
"library(colorspace)\n",
"library(ggthemes)\n",
"library(scales)\n",
"library(ggrepel)\n",
"\n",
"options(repr.plot.width=50, repr.plot.height=10)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"***Figure 1C***\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"#Import the metadata from the complete object (covid_total.obs[['sample_id', 'initial_clustering', 'Sex', 'Age', 'Site', 'Status',\n",
"# 'Status_on_day_collection_summary']].to_csv('initial_clustering_for_stats.csv')\n",
"\n",
"setwd(\"/home/ngr18/covid/\")\n",
"prolif<-read.csv(\"proportions_initial_with_site.csv\", row.names = 1)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"prolif <- prolif %>% dplyr::group_by(sample_id, Status_on_day_collection_summary) %>%\n",
" dplyr::mutate(sample_total = n())\n",
"\n",
"prolif <- prolif %>% dplyr::group_by(sample_id, initial_clustering) %>% dplyr::mutate(cell_total = n())\n",
"\n",
"df<-prolif %>% distinct(initial_clustering, Status_on_day_collection_summary,\n",
" sample_total, cell_total) %>% mutate(freq = cell_total/sample_total)\n",
"\n",
"colnames(df)<-c(\"patient_id\", \"celltype\", \"diagnosis\", \"sample_total\", \"cell_total\", \"freq\")"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"`summarise()` regrouping output by 'celltype' (override with `.groups` argument)\n",
"\n"
]
}
],
"source": [
"df<-df %>% group_by(celltype, diagnosis) %>% \n",
"summarise(average_props = mean(freq))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"df<-df[!df$diagnosis == \"Non_covid\",]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"df$diagnosis <- factor(df$diagnosis, levels = c(\"Healthy\",\"Asymptomatic\", \"Mild\", \n",
" \"Moderate\", \"Severe\", \"Critical\", \"LPS_90m\", \"LPS_10h\"))\n",
"\n",
"df$celltype <- factor(df$celltype, levels = c(\"CD4\", \"Treg\", \"CD8\", \"gdT\",\"MAIT\",\n",
" \"NK_16hi\", \"NK_56hi\",\n",
" \"B_cell\", \"Plasmablast\",\n",
" \"CD14\", \"CD16\", \"DCs\",\"pDC\", \"HSC\", \"Platelets\", \"RBC\",\n",
" \"Lymph_prolif\",\"Mono_prolif\"))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
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Dp16smTJ3fs2GHm2QOQG9tOALLw9PRUGikpKXq9/kHDEhMTS42vtrt371Zp+8GH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g4GXLljF7xo8f/9577zHbq1evzszMTE5O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\nAAAAkxQSQgAAAAAAgEnq/wPCIfPMNaJ8MwAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 600,
"width": 600
},
"text/plain": {
"height": 600,
"width": 600
}
},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=10, repr.plot.height=10)\n",
"\n",
"ggplot(df, aes(x=diagnosis, y = average_props, fill=celltype))+ \n",
" geom_bar(position=\"fill\", stat=\"identity\", width = 0.8, colour = \"black\")+\n",
"\n",
" theme(axis.text.x = element_text(angle=65, vjust=0.6))+\n",
" theme(aspect.ratio = 3/1)+ \n",
" theme(axis.text.x = element_text(angle = 90, size = 20))+\n",
"theme(axis.text.y = element_text(size = 20)) +\n",
"theme(panel.grid.major = element_blank(), panel.grid.minor = element_blank(),\n",
"panel.background= element_blank())+\n",
"scale_fill_manual(values = c('#A9DCE0','#E794EA', '#A9E0AB', '#CE5B5B', '#EDA6A6', '#E2E8A6', '#3A5CA0', '#D68645', '#48B758', \n",
"'#B4AEE5', '#F9BD95', '#67a5e5', '#d8e1a7', '#C683ED', '#F7B5CD', '#E53320', '#6FC6CE', '#1B78AC'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"***Myeloid proportions figure 2B***\n"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"#Import the metadata from the full scanpy object filtered for myeloid populations\n",
"\n",
"setwd(\"/home/ngr18/covid\")\n",
"prolif<-read.csv(\"myeloid_clustering_for_stats.csv\", row.names = 1)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"#Exclude Cambridge samples\n",
"\n",
"prolif<-prolif[!prolif$Site == \"Cambridge\",]\n",
"prolif<-prolif[!prolif$Status_on_day_collection_summary == \"Asymptomatic\",]"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"`summarise()` regrouping output by 'celltype' (override with `.groups` argument)\n",
"\n"
]
}
],
"source": [
"prolif <- prolif %>% dplyr::group_by(sample_id, Status_on_day_collection_summary) %>%\n",
" dplyr::mutate(sample_total = n())\n",
"\n",
"prolif <- prolif %>% dplyr::group_by(sample_id, full_clustering) %>% dplyr::mutate(cell_total = n())\n",
"\n",
"df<-prolif %>% distinct(full_clustering, Status_on_day_collection_summary,\n",
" sample_total, cell_total) %>% mutate(freq = cell_total/sample_total)\n",
"\n",
"colnames(df)<-c(\"patient_id\", \"celltype\", \"diagnosis\", \"sample_total\", \"cell_total\", \"freq\")\n",
"\n",
"df<-df %>% group_by(celltype, diagnosis) %>% \n",
"summarise(average_props = mean(freq))\n",
"\n",
"df$diagnosis <- factor(df$diagnosis, levels = c(\"Healthy\", \"Mild\", \n",
" \"Moderate\", \"Severe\", \"Critical\", \"LPS_90mins\", \"LPS_10hours\"))\n",
"\n",
"df$celltype <- factor(df$celltype, levels = c('DC1', 'DC2', 'DC3', 'ASDC', 'pDC', 'DC_prolif','CD83_CD14_mono',\n",
"'CD14_mono', 'CD16_mono', 'C1_CD16_mono', 'Mono_prolif'))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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M8++2zPnj3KkcDAwDvvvPPc3xYAAAA2RyAEHJdOp0tKSkpMTKysrDQajcnJyWFh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\nvffy8vJqa2v1ev392svs/a8BANgUS0YBuK6SkhLxz9kkRcyfP/+bb74pLS1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7bkRERK9rAACgdwiEAJyHHDA6bQ2iVqsNBkOX2SMiIqKo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\nF7TmLwRpdwAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 600,
"width": 600
},
"text/plain": {
"height": 600,
"width": 600
}
},
"output_type": "display_data"
}
],
"source": [
"options(repr.plot.width=10, repr.plot.height=10)\n",
"\n",
"ggplot(df, aes(x=diagnosis, y = average_props, fill=celltype))+ \n",
" geom_bar(position=\"fill\", stat=\"identity\", width = 0.8, colour = \"black\")+\n",
"\n",
" theme(axis.text.x = element_text(angle=65, vjust=0.6))+\n",
" theme(aspect.ratio = 3/1)+ \n",
" theme(axis.text.x = element_text(angle = 90, size = 20))+\n",
"theme(axis.text.y = element_text(size = 20)) +\n",
"theme(panel.grid.major = element_blank(), panel.grid.minor = element_blank(),\n",
"panel.background= element_blank())+\n",
"scale_fill_manual(values = c('#919093', '#1E5B5B', '#ef73a0', '#142775','#FFC48F', '#b5babc',\n",
" '#E28686', '#76DDC9', '#C2A3E2', '#991111',\n",
" '#7199EA'))\n",
"\n",
"setwd(\"/home/ngr18/covid/figures\")\n",
"ggsave(\"myeloid_proportions.pdf\", plot = last_plot(), device = NULL, path = NULL,width = 12, height = 12,scale = 1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"\n",
"***HSC proportions - figure 2J***\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#import the metadata in to R - HSC[['sample_id', 'HSC_clusters', 'Sex', 'Age', 'Site', 'Status',\n",
"# 'Status_on_day_collection_summary']].to_csv('HSC_clustering_for_stats.csv')\n",
"\n",
"setwd(\"/home/ngr18/covid/\")\n",
"prolif<-read.csv(\"HSC_clustering_for_stats.csv\", row.names = 1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"prolif <- prolif %>% dplyr::group_by(sample_id, Status_on_day_collection_summary) %>%\n",
" dplyr::mutate(sample_total = n())\n",
"\n",
"prolif <- prolif %>% dplyr::group_by(sample_id, HSC_clusters) %>% dplyr::mutate(cell_total = n())\n",
"\n",
"df<-prolif %>% distinct(HSC_clusters, Status_on_day_collection_summary,\n",
" sample_total, cell_total) %>% mutate(freq = cell_total/sample_total)\n",
"\n",
"colnames(df)<-c(\"patient_id\", \"celltype\", \"diagnosis\", \"sample_total\", \"cell_total\", \"freq\")\n",
"\n",
"df<-df %>% group_by(celltype, diagnosis) %>% \n",
"summarise(average_props = mean(freq))\n",
"\n",
"df<-prolif %>%\n",
" dplyr::group_by(sample_id, Status_on_day_collection_summary, HSC_clusters) %>%\n",
" dplyr::summarise(total = n())%>%\n",
" dplyr::mutate(freq = total / sum(total))\n",
"\n",
"colnames(df)<-c(\"patient_id\", \"diagnosis\",\"celltype\", \"total\", \"freq\")\n",
"\n",
"df<-df %>% dplyr::group_by(diagnosis, celltype) %>% dplyr::summarise(mean = mean(freq))\n",
"\n",
"df$diagnosis <- factor(df$diagnosis, levels = c(\"Healthy\",\"Asymptomatic\", \"Mild\", \n",
" \"Moderate\", \"Severe\", \"Critical\"))\n",
"\n",
"df$celltype <- factor(df$celltype, levels = c(\"CD38neg\", \"CD38pos\", 'Erythroid', 'Myeloid', 'MK', 'Prolif'))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"options(repr.plot.width=10, repr.plot.height=10)\n",
"\n",
"ggplot(df, aes(x=diagnosis, y = mean, fill=celltype))+ \n",
" geom_bar(position=\"fill\", stat=\"identity\", width = 0.8, colour = \"black\")+\n",
"\n",
" theme(axis.text.x = element_text(angle=65, vjust=0.6))+\n",
" theme(aspect.ratio = 3/1)+ \n",
" theme(axis.text.x = element_text(angle = 90, size = 20))+\n",
"theme(axis.text.y = element_text(size = 20)) +\n",
"theme(panel.grid.major = element_blank(), panel.grid.minor = element_blank(),\n",
"panel.background= element_blank())+\n",
"scale_fill_manual(values = c('#A9DCE0','#E794EA', '#A9E0AB', '#CE5B5B', '#EDA6A6', '#E2E8A6', '#3A5CA0', '#D68645', '#48B758', \n",
"'#B4AEE5', '#F9BD95', '#67a5e5', '#d8e1a7', '#C683ED', '#F7B5CD', '#E53320', '#6FC6CE', '#1B78AC'))\n",
"\n",
"setwd(\"/home/ngr18/covid/figures\")\n",
"ggsave(\"HSC_proportions.pdf\", plot = last_plot(), device = NULL, path = NULL,width = 12, height = 12,scale = 1)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "MGC_R_3.6",
"language": "R",
"name": "mgc_r"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
Datasets
Models
