{ "cells": [ { "cell_type": "markdown", "id": "3d54b332", "metadata": {}, "source": [ "# 6. Pathway Enrichment of LR loadings\n", "\n", "Cell-cell communication inference from single-cell data provides unprecedented insights into the molecular mechanisms underlying cell-cell communication. In particular, it enables the capture of CCC interactions at a systems level, which is not possible with traditional approaches. However, as the number of inferred interactions increases, the interpretation of the inferred cell-cell communication networks becomes more challenging. To this end, as done in other omics studies, we can perform pathway enrichment analysis to identify the general biological processes that are enriched in the inferred interactions. Pathway enrichment thus serves two purposes; it reduces the dimensionality of the inferred interactions, and also provides a biological summary of the inferred interactions.\n", "\n", "In this tutorial, we will show how to use the `cell2cell` and `liana` packages to perform classical gene set enrichment analysis using `GSEA` with `KEGG Pathways`, and also we will use perform a footprint enrichment analysis using a `multi-variate linear regression` with the PROGENy pathway resource. We will use the [`GSEAPY`](https://gseapy.readthedocs.io/en/latest/) and [`decoupleR`](https://saezlab.github.io/decoupleR/) packages to perform these analyses." ] }, { "cell_type": "code", "execution_count": 1, "id": "2ac22be8", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\n", "Attaching package: ‘decoupleR’\n", "\n", "\n", "The following objects are masked from ‘package:liana’:\n", "\n", " show_methods, show_resources\n", "\n", "\n", "\n", "Attaching package: ‘tibble’\n", "\n", "\n", "The following object is masked from ‘package:textshape’:\n", "\n", " column_to_rownames\n", "\n", "\n", "\n", "Attaching package: ‘dplyr’\n", "\n", "\n", "The following object is masked from ‘package:textshape’:\n", "\n", " combine\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", "Attaching package: ‘tidyr’\n", "\n", "\n", "The following object is masked from ‘package:reshape2’:\n", "\n", " smiths\n", "\n", "\n", "\n", "Attaching package: ‘rstatix’\n", "\n", "\n", "The following object is masked from ‘package:stats’:\n", "\n", " filter\n", "\n", "\n" ] } ], "source": [ "library(liana, quietly = TRUE)\n", "\n", "library(decoupleR, quietly = TRUE)\n", "library(textshape, quietly = TRUE)\n", "library(reshape2, quietly = TRUE)\n", "\n", "library(tibble, quietly = TRUE)\n", "library(dplyr, quietly = TRUE)\n", "library(tidyr, quietly = TRUE)\n", "library(rstatix, quietly = TRUE)\n", "library(ggpubr, quietly = TRUE)\n", "library(forcats, quietly = T)\n", "\n", "library(stringr, quietly = TRUE)\n", "\n", "library(ggplot2, quietly = TRUE)\n", "\n", "library(reticulate, quietly = TRUE)" ] }, { "cell_type": "code", "execution_count": 2, "id": "0d0fb7a3", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "use_condaenv('ccc_protocols')\n", "c2c <- reticulate::import(module = \"cell2cell\")" ] }, { "cell_type": "markdown", "id": "eded8fe1", "metadata": {}, "source": [ "## Directories" ] }, { "cell_type": "code", "execution_count": 3, "id": "c0a73062", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "output_folder <- file.path('..', '..', 'data', 'tc2c-outputs')\n", "data_path <- file.path('..', '..', 'data')" ] }, { "cell_type": "markdown", "id": "2f5d0d38", "metadata": {}, "source": [ "## Load Data" ] }, { "cell_type": "markdown", "id": "973d1b0b", "metadata": {}, "source": [ "**Open the loadings obtained from the tensor factorization**" ] }, { "cell_type": "code", "execution_count": 4, "id": "1657732b", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "covid_data <- readRDS(file.path(data_path, 'covid_data_sce.rds'))\n", "factors <- liana::get_c2c_factors(sce = covid_data,\n", " sample_col = \"sample_new\",\n", " group_col = \"condition\")" ] }, { "cell_type": "markdown", "id": "24b18655", "metadata": {}, "source": [ "**Load list of LR pairs used as reference to [run LIANA](./02-Infer-Communication-Scores.ipynb)**" ] }, { "cell_type": "code", "execution_count": 5, "id": "6a44c5cc", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "lr_pairs <- liana::select_resource('Consensus')[[1]] %>%\n", " select(ligand = source_genesymbol, receptor = target_genesymbol)" ] }, { "cell_type": "markdown", "id": "43090ea6", "metadata": {}, "source": [ "**Generate a list with the LR pair names**\n", "\n", "KEGG was originally designed to work with list of genes. Here we are using ligand-receptor pairs, so instead of using Gene Sets we need to build our LR-gene sets. This list is a first step to build the LR-gene sets." ] }, { "cell_type": "code", "execution_count": 6, "id": "83ece24a", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "lr_list <- lr_pairs %>%\n", " unite('interaction', ligand, receptor, sep = '^') %>% \n", " pull(interaction)" ] }, { "cell_type": "markdown", "id": "3572fb9d", "metadata": {}, "source": [ "## Gene Set Enrichment Analysis\n", "\n", "In this case, we will run the PreRank method of GSEA since our LR pairs are pre-ranked based on their loadings in each factor obtained by Tensor-cell2cell." ] }, { "cell_type": "markdown", "id": "fa6385ac", "metadata": {}, "source": [ "### Generate LR-gene set for running GSEA\n", "\n", "`cell2cell` includes some resources associated with the Gene sets employed in GSEA. It includes annotations of GO Terms (BP), KEGG, and Reactome, for human and mouse." ] }, { "cell_type": "markdown", "id": "97f8d4a6", "metadata": {}, "source": [ "**First, specify which organism and annotation DB to use**" ] }, { "cell_type": "code", "execution_count": 7, "id": "c11ec2fd", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "organism = 'human' # For the COVID-19 data analyzed with LIANA+Tensor-cell2cell\n", "pathwaydb = 'KEGG' # KEGG Pathways" ] }, { "cell_type": "markdown", "id": "77835f05", "metadata": {}, "source": [ "**Generate the LR-gene set that will be used for running GSEA**" ] }, { "cell_type": "code", "execution_count": 8, "id": "1485a088", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "lr_set <- c2c$external$generate_lr_geneset(lr_list = lr_list, \n", " complex_sep='_', # Separation symbol of the genes in the protein complex\n", " lr_sep='^', # Separation symbol between a ligand and a receptor complex\n", " organism=organism,\n", " pathwaydb=pathwaydb,\n", " readable_name=TRUE\n", " )" ] }, { "cell_type": "markdown", "id": "b6ab0812", "metadata": {}, "source": [ "### Extract LR loadings for each factor" ] }, { "cell_type": "code", "execution_count": 9, "id": "f43cd70c", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "lr_loadings = factors[['interactions']] %>% \n", " column_to_rownames(\"lr\")" ] }, { "cell_type": "markdown", "id": "0a8b4d7d", "metadata": {}, "source": [ "### Run GSEA\n", "\n", "This external function implemented in `cell2cell` builds upon the function `gseapy.prerank()`.\n", "\n", "All outputs will be saved in the `output_folder`. Make sure that this path exist before running this function." ] }, { "cell_type": "code", "execution_count": 10, "id": "fe4eaddb", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "gsea_res <- c2c$external$run_gsea(loadings=lr_loadings, \n", " lr_set=lr_set,\n", " output_folder=output_folder,\n", " weight=as.integer(1),\n", " min_size=as.integer(15),\n", " permutations=as.integer(999),\n", " processes=as.integer(6),\n", " random_state=as.integer(6),\n", " significance_threshold=as.numeric(0.05)\n", " )\n", "names(gsea_res)<-c('pvals', 'scores', 'gsea_df')" ] }, { "cell_type": "markdown", "id": "c4654706", "metadata": {}, "source": [ "### Visualization\n", "\n", "We can use the `pvals` and `scores`outputs to visualize the results as a Dot Plot:" ] }, { "cell_type": "code", "execution_count": 11, "id": "455c3fd9", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "gsea.dotplot<-function(pval_df, score_df, significance = 0.05, font_size = 15){\n", " pval_df <- pval_df[apply(pval_df% \n", " mutate_all(function(x) -1*log10(x + 1e-9))\n", " score_df <- score_df[rownames(pval_df), colnames(pval_df)]\n", " pval_df <- pval_df %>%\n", " tibble::rownames_to_column('Annotation')\n", " score_df <- score_df %>%\n", " tibble::rownames_to_column('Annotation')\n", "\n", " viz_df <- cbind(melt(pval_df), melt(score_df)[[3]])\n", " names(viz_df) <- c('Annotation', 'Factor', 'Significance', 'NES')\n", " \n", " \n", " dotplot <- ggplot(viz_df, aes(x = Factor, y = Annotation)) + geom_point(aes(size = Significance, color = NES)) + \n", " scale_color_gradient2() + theme_bw(base_size = font_size) + \n", " theme(axis.text.x = element_text(angle = 45, vjust = 0.5, hjust=0.5))+\n", " scale_size(range = c(0, 8)) + \n", " guides(size=guide_legend(title=\"-log10(p-value)\"))\n", " return(dotplot)\n", "}\n" ] }, { "cell_type": "code", "execution_count": 12, "id": "afd01993", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using Annotation as id variables\n", "\n", "Using Annotation as id variables\n", "\n" ] }, { "data": { "image/png": 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t0MCIw6t2mlb5P/dav0IDPpzvnujxGLlm2b//vilDrP+zhv3XJj374b/Qdl9Z06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\n/QbVa/ycx19/XroZHJN1BWmuVyeaKKJTxdTUpFX7yi+8XM3W1qh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sbIqIODpali/vXKVKqUaNynl5lSrqCgLPmmKUS0YNXySKDwIhAAC5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\nZi8eoslk//vr7uA2TqFX7T9/moN0S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BgQiTMzc4lMZF1KQCAEAIBO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\nLVOdmppL5OHk1CBxODg6EsWmpWU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C3NTYkKi3tYRxoj35jc4r7popiTh+uefp4Lq0vz7kWHxRZqDFq05jVbDhFRSWFhA5GR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\nYVBgIkuaw/xc2ugMlXP19Va7cj4rKCjNf3b7kykoDpi7yO/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SR0z1dj8f2knMywbas3XkqM/GXFW2uO3RcScZzc3RQo9/Lx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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 480, "width": 600 } }, "output_type": "display_data" } ], "source": [ "h_ = 8\n", "w_ = 10\n", "options(repr.plot.height=h_, repr.plot.width=w_)\n", "\n", "dotplot <- gsea.dotplot(pval_df = gsea_res$pvals, \n", " score_df = gsea_res$scores, \n", " significance = 0.05)\n", "dotplot" ] }, { "cell_type": "markdown", "id": "8eb5cea3", "metadata": {}, "source": [ "**Similarly, we can use gsea_df to easily see the Enriched Pathways**" ] }, { "cell_type": "code", "execution_count": 13, "id": "453c50af", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 14 × 5
FactorTermNESP-valueAdj. P-value
<chr><chr><dbl><dbl><dbl>
52Factor.5 CHEMOKINE SIGNALING PATHWAY 1.5464060.0010000000.01444444
39Factor.4 ANTIGEN PROCESSING AND PRESENTATION 1.4797290.0010000000.01444444
117Factor.10ANTIGEN PROCESSING AND PRESENTATION 1.3647770.0010000000.01444444
78Factor.7 ANTIGEN PROCESSING AND PRESENTATION 1.3616380.0010000000.01444444
13Factor.2 ANTIGEN PROCESSING AND PRESENTATION 1.3560780.0010000000.01444444
0Factor.1 ANTIGEN PROCESSING AND PRESENTATION 1.3453140.0010000000.01444444
53Factor.5 CYTOKINE CYTOKINE RECEPTOR INTERACTION1.3197030.0010000000.01444444
40Factor.4 CELL ADHESION MOLECULES CAMS 1.3172780.0010000000.01444444
91Factor.8 CHEMOKINE SIGNALING PATHWAY 1.2656770.0050050050.04647505
14Factor.2 CHEMOKINE SIGNALING PATHWAY 1.2573630.0030030030.03549004
26Factor.3 ANTIGEN PROCESSING AND PRESENTATION 1.2295430.0040040040.04337671
104Factor.9 ANTIGEN PROCESSING AND PRESENTATION 1.2251970.0050050050.04647505
1Factor.1 CELL ADHESION MOLECULES CAMS 1.2207500.0010000000.01444444
16Factor.2 CYTOKINE CYTOKINE RECEPTOR INTERACTION1.1705830.0020020020.02602603
\n" ], "text/latex": [ "A data.frame: 14 × 5\n", "\\begin{tabular}{r|lllll}\n", " & Factor & Term & NES & P-value & Adj. P-value\\\\\n", " & & & & & \\\\\n", "\\hline\n", "\t52 & Factor.5 & CHEMOKINE SIGNALING PATHWAY & 1.546406 & 0.001000000 & 0.01444444\\\\\n", "\t39 & Factor.4 & ANTIGEN PROCESSING AND PRESENTATION & 1.479729 & 0.001000000 & 0.01444444\\\\\n", "\t117 & Factor.10 & ANTIGEN PROCESSING AND PRESENTATION & 1.364777 & 0.001000000 & 0.01444444\\\\\n", "\t78 & Factor.7 & ANTIGEN PROCESSING AND PRESENTATION & 1.361638 & 0.001000000 & 0.01444444\\\\\n", "\t13 & Factor.2 & ANTIGEN PROCESSING AND PRESENTATION & 1.356078 & 0.001000000 & 0.01444444\\\\\n", "\t0 & Factor.1 & ANTIGEN PROCESSING AND PRESENTATION & 1.345314 & 0.001000000 & 0.01444444\\\\\n", "\t53 & Factor.5 & CYTOKINE CYTOKINE RECEPTOR INTERACTION & 1.319703 & 0.001000000 & 0.01444444\\\\\n", "\t40 & Factor.4 & CELL ADHESION MOLECULES CAMS & 1.317278 & 0.001000000 & 0.01444444\\\\\n", "\t91 & Factor.8 & CHEMOKINE SIGNALING PATHWAY & 1.265677 & 0.005005005 & 0.04647505\\\\\n", "\t14 & Factor.2 & CHEMOKINE SIGNALING PATHWAY & 1.257363 & 0.003003003 & 0.03549004\\\\\n", "\t26 & Factor.3 & ANTIGEN PROCESSING AND PRESENTATION & 1.229543 & 0.004004004 & 0.04337671\\\\\n", "\t104 & Factor.9 & ANTIGEN PROCESSING AND PRESENTATION & 1.225197 & 0.005005005 & 0.04647505\\\\\n", "\t1 & Factor.1 & CELL ADHESION MOLECULES CAMS & 1.220750 & 0.001000000 & 0.01444444\\\\\n", "\t16 & Factor.2 & CYTOKINE CYTOKINE RECEPTOR INTERACTION & 1.170583 & 0.002002002 & 0.02602603\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 14 × 5\n", "\n", "| | Factor <chr> | Term <chr> | NES <dbl> | P-value <dbl> | Adj. P-value <dbl> |\n", "|---|---|---|---|---|---|\n", "| 52 | Factor.5 | CHEMOKINE SIGNALING PATHWAY | 1.546406 | 0.001000000 | 0.01444444 |\n", "| 39 | Factor.4 | ANTIGEN PROCESSING AND PRESENTATION | 1.479729 | 0.001000000 | 0.01444444 |\n", "| 117 | Factor.10 | ANTIGEN PROCESSING AND PRESENTATION | 1.364777 | 0.001000000 | 0.01444444 |\n", "| 78 | Factor.7 | ANTIGEN PROCESSING AND PRESENTATION | 1.361638 | 0.001000000 | 0.01444444 |\n", "| 13 | Factor.2 | ANTIGEN PROCESSING AND PRESENTATION | 1.356078 | 0.001000000 | 0.01444444 |\n", "| 0 | Factor.1 | ANTIGEN PROCESSING AND PRESENTATION | 1.345314 | 0.001000000 | 0.01444444 |\n", "| 53 | Factor.5 | CYTOKINE CYTOKINE RECEPTOR INTERACTION | 1.319703 | 0.001000000 | 0.01444444 |\n", "| 40 | Factor.4 | CELL ADHESION MOLECULES CAMS | 1.317278 | 0.001000000 | 0.01444444 |\n", "| 91 | Factor.8 | CHEMOKINE SIGNALING PATHWAY | 1.265677 | 0.005005005 | 0.04647505 |\n", "| 14 | Factor.2 | CHEMOKINE SIGNALING PATHWAY | 1.257363 | 0.003003003 | 0.03549004 |\n", "| 26 | Factor.3 | ANTIGEN PROCESSING AND PRESENTATION | 1.229543 | 0.004004004 | 0.04337671 |\n", "| 104 | Factor.9 | ANTIGEN PROCESSING AND PRESENTATION | 1.225197 | 0.005005005 | 0.04647505 |\n", "| 1 | Factor.1 | CELL ADHESION MOLECULES CAMS | 1.220750 | 0.001000000 | 0.01444444 |\n", "| 16 | Factor.2 | CYTOKINE CYTOKINE RECEPTOR INTERACTION | 1.170583 | 0.002002002 | 0.02602603 |\n", "\n" ], "text/plain": [ " Factor Term NES P-value \n", "52 Factor.5 CHEMOKINE SIGNALING PATHWAY 1.546406 0.001000000\n", "39 Factor.4 ANTIGEN PROCESSING AND PRESENTATION 1.479729 0.001000000\n", "117 Factor.10 ANTIGEN PROCESSING AND PRESENTATION 1.364777 0.001000000\n", "78 Factor.7 ANTIGEN PROCESSING AND PRESENTATION 1.361638 0.001000000\n", "13 Factor.2 ANTIGEN PROCESSING AND PRESENTATION 1.356078 0.001000000\n", "0 Factor.1 ANTIGEN PROCESSING AND PRESENTATION 1.345314 0.001000000\n", "53 Factor.5 CYTOKINE CYTOKINE RECEPTOR INTERACTION 1.319703 0.001000000\n", "40 Factor.4 CELL ADHESION MOLECULES CAMS 1.317278 0.001000000\n", "91 Factor.8 CHEMOKINE SIGNALING PATHWAY 1.265677 0.005005005\n", "14 Factor.2 CHEMOKINE SIGNALING PATHWAY 1.257363 0.003003003\n", "26 Factor.3 ANTIGEN PROCESSING AND PRESENTATION 1.229543 0.004004004\n", "104 Factor.9 ANTIGEN PROCESSING AND PRESENTATION 1.225197 0.005005005\n", "1 Factor.1 CELL ADHESION MOLECULES CAMS 1.220750 0.001000000\n", "16 Factor.2 CYTOKINE CYTOKINE RECEPTOR INTERACTION 1.170583 0.002002002\n", " Adj. P-value\n", "52 0.01444444 \n", "39 0.01444444 \n", "117 0.01444444 \n", "78 0.01444444 \n", "13 0.01444444 \n", "0 0.01444444 \n", "53 0.01444444 \n", "40 0.01444444 \n", "91 0.04647505 \n", "14 0.03549004 \n", "26 0.04337671 \n", "104 0.04647505 \n", "1 0.01444444 \n", "16 0.02602603 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gsea_df <- gsea_res$gsea_df\n", "gsea_df %>% \n", " filter(`Adj. P-value` < 0.05 & NES > 0) %>%\n", " arrange(desc(abs(NES)))" ] }, { "cell_type": "markdown", "id": "c0f19de0", "metadata": {}, "source": [ "**And Depleted Pathways**" ] }, { "cell_type": "code", "execution_count": 14, "id": "94dc00a9", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\n", "
A data.frame: 0 × 5
FactorTermNESP-valueAdj. P-value
<chr><chr><dbl><dbl><dbl>
\n" ], "text/latex": [ "A data.frame: 0 × 5\n", "\\begin{tabular}{lllll}\n", " Factor & Term & NES & P-value & Adj. P-value\\\\\n", " & & & & \\\\\n", "\\hline\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A data.frame: 0 × 5\n", "\n", "| Factor <chr> | Term <chr> | NES <dbl> | P-value <dbl> | Adj. P-value <dbl> |\n", "|---|---|---|---|---|\n", "\n" ], "text/plain": [ " Factor Term NES P-value Adj. P-value" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gsea_df %>% \n", " filter(`Adj. P-value` < 0.05 & NES < 0) %>%\n", " arrange(desc(abs(NES)))" ] }, { "cell_type": "markdown", "id": "56fd5694", "metadata": {}, "source": [ "## Footprint Enrichment" ] }, { "cell_type": "markdown", "id": "ad5bb159", "metadata": {}, "source": [ "Footprint enrichment analysis build upon classic geneset enrichment analysis, as instead of considering the genes involved in a biological activity, they consider the genes affected by the activity, or in other words the genes that change downstream of said activity [(Dugourd and Saez-Rodriguez, 2019)](https://www.sciencedirect.com/science/article/pii/S2452310019300149). This is particularly useful when working with transcriptomics data, as it allows to identify the genes that are regulated by a biological process, instead of the genes that are part of the process. In this case, we will use the PROGENy pathway resource to perform footprint enrichment analysis. PROGENy was built in a data-driven manner using perturbation and cancer lineage data [(Schubert et al, 2019)](https://www.nature.com/articles/s41467-017-02391-6#Sec8), as a consequence it also assigns different importances or weights to each gene in its pathway genesets.\n", "\n", "To this end, we need an enrichment method that can take weights into account, and here we will use multi-variate linear models from the `decoupleR` package to perform this analysis [(Badia-i-Mompel et al., 2022)](https://academic.oup.com/bioinformaticsadvances/article/2/1/vbac016/6544613)." ] }, { "cell_type": "markdown", "id": "ca5209d4", "metadata": {}, "source": [ "### load the PROGENy pathway resource:" ] }, { "cell_type": "code", "execution_count": 15, "id": "68972dfc", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "# obtain progeny gene sets\n", "net <- decoupleR::get_progeny(organism = 'human', top=5000) %>%\n", " dplyr::select(-p_value)" ] }, { "cell_type": "markdown", "id": "bac3fcc0", "metadata": {}, "source": [ "Now we will use the PROGENy genesets to assign pathways and weights to the ligand-receptor pairs in liana's consensus resource. Specifically, we will use the weighted bipartite networks from PROGENy, where the weight represents the importance of the genes to a given geneset, and assign a weight to each ligand-receptor interaction, based on the mean of the weights of the proteins in that ligand-receptor interaction. We keep only ligand-receptor weights only if all the protein in the ligand-receptor interaction are present for a given pathway, and are sign-coherent." ] }, { "cell_type": "code", "execution_count": 16, "id": "5e46dd34", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A tibble: 6 × 3
lrsetmor
<chr><chr><dbl>
ACTR2^LDLR EGFR 1.1326914
ADAM10^CADM1 MAPK-1.0350601
ADAM10^GPNMB EGFR-1.9858320
ADAM10^GPNMB MAPK-2.7904170
ADAM10^NOTCH1EGFR-0.9249343
ADAM10^NOTCH1MAPK-0.9250379
\n" ], "text/latex": [ "A tibble: 6 × 3\n", "\\begin{tabular}{lll}\n", " lr & set & mor\\\\\n", " & & \\\\\n", "\\hline\n", "\t ACTR2\\textasciicircum{}LDLR & EGFR & 1.1326914\\\\\n", "\t ADAM10\\textasciicircum{}CADM1 & MAPK & -1.0350601\\\\\n", "\t ADAM10\\textasciicircum{}GPNMB & EGFR & -1.9858320\\\\\n", "\t ADAM10\\textasciicircum{}GPNMB & MAPK & -2.7904170\\\\\n", "\t ADAM10\\textasciicircum{}NOTCH1 & EGFR & -0.9249343\\\\\n", "\t ADAM10\\textasciicircum{}NOTCH1 & MAPK & -0.9250379\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A tibble: 6 × 3\n", "\n", "| lr <chr> | set <chr> | mor <dbl> |\n", "|---|---|---|\n", "| ACTR2^LDLR | EGFR | 1.1326914 |\n", "| ADAM10^CADM1 | MAPK | -1.0350601 |\n", "| ADAM10^GPNMB | EGFR | -1.9858320 |\n", "| ADAM10^GPNMB | MAPK | -2.7904170 |\n", "| ADAM10^NOTCH1 | EGFR | -0.9249343 |\n", "| ADAM10^NOTCH1 | MAPK | -0.9250379 |\n", "\n" ], "text/plain": [ " lr set mor \n", "1 ACTR2^LDLR EGFR 1.1326914\n", "2 ADAM10^CADM1 MAPK -1.0350601\n", "3 ADAM10^GPNMB EGFR -1.9858320\n", "4 ADAM10^GPNMB MAPK -2.7904170\n", "5 ADAM10^NOTCH1 EGFR -0.9249343\n", "6 ADAM10^NOTCH1 MAPK -0.9250379" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# convert to LR sets\n", "progeny_lr <- liana::generate_lr_geneset(sce = covid_data,\n", " resource = net)\n", "head(progeny_lr)" ] }, { "cell_type": "markdown", "id": "2d7909a0", "metadata": {}, "source": [ "### Run footprint enrichment analysis" ] }, { "cell_type": "markdown", "id": "536c29e1", "metadata": {}, "source": [ "We will now use the `decoupleR` package to perform the analysis." ] }, { "cell_type": "code", "execution_count": 17, "id": "f21ea0d9", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "# interaction loadings to matrix\n", "mat <- factors$interactions %>%\n", " textshape::column_to_rownames(\"lr\") %>%\n", " as.matrix()\n", "\n", "# run enrichment analysis with decoupler\n", "# (we fit a univariate linear model for each gene set)\n", "# We don't consider genesets with minsize < 10\n", "res <- decoupleR::run_ulm(mat = mat,\n", " network = progeny_lr,\n", " .source = \"set\",\n", " .target = \"lr\",\n", " minsize=10) %>%\n", " mutate(p_adj = p.adjust(p_value, method = \"fdr\"))" ] }, { "cell_type": "markdown", "id": "3ae118e0", "metadata": {}, "source": [ "### Visualize Results" ] }, { "cell_type": "code", "execution_count": 18, "id": "acbe2059", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [ { "data": { "image/png": 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TGaHvq/KT//jRasZBqKaVpxfgNlGqc4C7/ak2Ka6Lpim+rLHz6NTCcARVUsWrA6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JO/3suXOs/17W8N/XNj5yrv3F1+yQu+CG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\ngD+EYZB05Ic61E3nNuafQ8juNWM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jwVXaNtL+GOYReuGoQ7aduDlqJoiskZbo7y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\ncT9H9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88L4byk+qV1NTM1RMmnTKPm0t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xbWGxzdrMX4vez7kEiIaQtTyIo9nWx9m1iUxefr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\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k5iJANdtJ2kq4lAF+H+watuioLbT24x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\nAxh/PCirbmjYcVhuXi6ApCSZJe+ErNdfJ3Kmw5b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EPgsTQoS6ryDqZnSz9RA3/S6KjL5NfMgu1PQaaElaj0SakrGrr7Gr70xuSXJkKDss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\nhBBCCIkoTAgRQgghhBBCSERhQogQQgghhBBCIgrbTiCEEAGyb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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 480, "width": 600 } }, "output_type": "display_data" } ], "source": [ "res %>% # sig/isnig flag\n", " mutate(significant = if_else(p_adj <= 0.05, \"signif.\", \"not\")) %>%\n", " ggplot(aes(x=source, y=condition, shape=significant,\n", " colour=score, size=-log10(p_value+1e-36))) +\n", " geom_point() +\n", " scale_colour_gradient2(high = \"red\", low=\"blue\") +\n", " scale_size_continuous(range = c(3, 12)) +\n", " scale_shape_manual(values=c(21, 16)) +\n", " theme_bw(base_size = 15) +\n", " theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust=1)) +\n", " labs(x=\"Pathway\",\n", " y=\"Factor\",\n", " colour=\"Activity\"\n", " )" ] }, { "cell_type": "markdown", "id": "69a55f24", "metadata": {}, "source": [ "Let's zoom in on **Factor 2**, which is associated with COVID-19 cases." ] }, { "cell_type": "code", "execution_count": 19, "id": "bddfc7d3", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "selected_factor = 'Factor.2'" ] }, { "cell_type": "code", "execution_count": 20, "id": "2ff6bd52", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "sample_loadings <- liana::get_c2c_factors(covid_data,\n", " sample_col='sample_new',\n", " group_col='condition') %>%\n", " purrr::pluck(\"contexts\") %>% \n", " pivot_longer(-c(\"condition\", \"context\"),\n", " names_to = \"factor\",\n", " values_to = \"loadings\") %>% \n", " mutate(factor = factor(factor)) %>%\n", " mutate(factor = forcats::fct_relevel(factor, \"Factor.10\", after=9))" ] }, { "cell_type": "code", "execution_count": 21, "id": "d32035a4", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [ "res.factor <- res %>% \n", " filter(condition == selected_factor) %>%\n", " mutate(p_adj = p.adjust(p_value, method = \"fdr\")) %>%\n", " arrange(desc(score)) %>%\n", " mutate(source = factor(source, levels = source))" ] }, { "cell_type": "code", "execution_count": 22, "id": "c0540f2a", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [ { "data": { "image/png": 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AVAFVMRBKjc7nDe287yBr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\n2O/csl1ijTGdbh43asT+PYe8MU0aR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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 480, "width": 600 } }, "output_type": "display_data" } ], "source": [ "ggplot(data=res.factor, aes(x=score, y=source, fill = score)) +\n", " geom_bar(stat=\"identity\", width=0.5) + theme_bw() + scale_fill_gradient2(trans = 'reverse') + \n", "ylab('') + xlab('Activity')" ] }, { "cell_type": "markdown", "id": "d94507d7", "metadata": {}, "source": [ "From the plots above, we can see that the **JAK-STAT** pathway is downregulated in **Factor 2**. Let's see which ligand-receptor pairs are enriched in this pathway." ] }, { "cell_type": "code", "execution_count": 23, "id": "fce94e3b", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A tibble: 6 × 5
lrsetmorloadingweight
<chr><chr><dbl><dbl><chr>
B2M -> LILRB2JAK-STAT1.42823320.0626263469positive
CCL18 -> CCR1JAK-STAT1.09668440.0064965212positive
CCL2 -> CCR1 JAK-STAT2.10392090.0956253707positive
CCL7 -> CCR1 JAK-STAT1.14511220.0240481608positive
CCL7 -> CXCR3JAK-STAT0.68237830.0006287754positive
CCL8 -> CCR1 JAK-STAT3.52629960.0672063306positive
\n" ], "text/latex": [ "A tibble: 6 × 5\n", "\\begin{tabular}{lllll}\n", " lr & set & mor & loading & weight\\\\\n", " & & & & \\\\\n", "\\hline\n", "\t B2M -> LILRB2 & JAK-STAT & 1.4282332 & 0.0626263469 & positive\\\\\n", "\t CCL18 -> CCR1 & JAK-STAT & 1.0966844 & 0.0064965212 & positive\\\\\n", "\t CCL2 -> CCR1 & JAK-STAT & 2.1039209 & 0.0956253707 & positive\\\\\n", "\t CCL7 -> CCR1 & JAK-STAT & 1.1451122 & 0.0240481608 & positive\\\\\n", "\t CCL7 -> CXCR3 & JAK-STAT & 0.6823783 & 0.0006287754 & positive\\\\\n", "\t CCL8 -> CCR1 & JAK-STAT & 3.5262996 & 0.0672063306 & positive\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "A tibble: 6 × 5\n", "\n", "| lr <chr> | set <chr> | mor <dbl> | loading <dbl> | weight <chr> |\n", "|---|---|---|---|---|\n", "| B2M -> LILRB2 | JAK-STAT | 1.4282332 | 0.0626263469 | positive |\n", "| CCL18 -> CCR1 | JAK-STAT | 1.0966844 | 0.0064965212 | positive |\n", "| CCL2 -> CCR1 | JAK-STAT | 2.1039209 | 0.0956253707 | positive |\n", "| CCL7 -> CCR1 | JAK-STAT | 1.1451122 | 0.0240481608 | positive |\n", "| CCL7 -> CXCR3 | JAK-STAT | 0.6823783 | 0.0006287754 | positive |\n", "| CCL8 -> CCR1 | JAK-STAT | 3.5262996 | 0.0672063306 | positive |\n", "\n" ], "text/plain": [ " lr set mor loading weight \n", "1 B2M -> LILRB2 JAK-STAT 1.4282332 0.0626263469 positive\n", "2 CCL18 -> CCR1 JAK-STAT 1.0966844 0.0064965212 positive\n", "3 CCL2 -> CCR1 JAK-STAT 2.1039209 0.0956253707 positive\n", "4 CCL7 -> CCR1 JAK-STAT 1.1451122 0.0240481608 positive\n", "5 CCL7 -> CXCR3 JAK-STAT 0.6823783 0.0006287754 positive\n", "6 CCL8 -> CCR1 JAK-STAT 3.5262996 0.0672063306 positive" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "selected_pathway = 'JAK-STAT'\n", "\n", "# loadings to long format\n", "lrs <- factors$interactions %>%\n", " inner_join(progeny_lr, by=\"lr\") %>%\n", " filter(set==selected_pathway) %>%\n", " select(lr, set, mor, loading = !!selected_factor) %>%\n", " mutate(lr = gsub(as.character(str_glue(\"\\\\^\")), \" -> \", lr)) %>%\n", " mutate(weight = if_else(mor >= 0, \"positive\", \"negative\"))\n", "\n", "head(lrs)" ] }, { "cell_type": "markdown", "id": "593583eb", "metadata": {}, "source": [ "##### plot the loadings for that Factor and the weights of the pathway" ] }, { "cell_type": "code", "execution_count": 24, "id": "c72b3e73", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[1m\u001b[22m`geom_smooth()` using formula = 'y ~ x'\n", "Warning message:\n", "“ggrepel: 5 unlabeled data points (too many overlaps). Consider increasing max.overlaps”\n" ] }, { "data": { "image/png": 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0iSTGo1WJPfVreLymDb8ri+jSd/1a0DtTJOXW/VDZ3UwE/7fteMmbq7i45t1LOX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25GCyTRQ7D4MRljHcuAGADtW1OHuc/8LoWdOYHBMAACAASURBVAjgTwfOJFfpKNWL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\nXyibydgtJeiQn041WHaKUZUzbn7yJBRjSHMFVVUXIVuU8QjarWiuyd77fCb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QGTLwe4RXCs3WkH8j8FypuJNCVApi35qRkxnTVEHt0d2E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\nA8D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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 480, "width": 600 } }, "output_type": "display_data" } ], "source": [ "# Plot LRs associated the pathway\n", "lrs %>%\n", " # only label those that are > x\n", " mutate(lr = if_else(loading>=0.001 & abs(mor) > 2, lr, \"\")) %>%\n", " ggplot(aes(x=mor, y=loading, colour=weight)) +\n", " # label only top 20\n", " stat_smooth(method = \"lm\", col = \"black\") +\n", " geom_point(alpha = 0.5) + \n", " ggrepel::geom_label_repel(aes(label = lr)) +\n", " theme_bw(base_size = 15) +\n", " scale_colour_manual(values = c(\"royalblue3\", \"red\")) +\n", " labs(x=\"Pathway Weight\", y=\"LR Loading\")" ] }, { "cell_type": "code", "execution_count": null, "id": "fa31f645", "metadata": { "vscode": { "languageId": "r" } }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R [conda env:ccc_protocols]", "language": "R", "name": "conda-env-ccc_protocols-r" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "4.2.3" }, "vscode": { "interpreter": { "hash": "a89d9df9e41c144bbb86b791904f32fb0efeb7b488a88d676a8bce57017c9696" } } }, "nbformat": 4, "nbformat_minor": 5 }