Last updated: 2020-09-10

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In the previous analysis of the purified and 68k PBMC data sets, we identified clusters in both data sets corresponding to B-cells and natural killer cells. Each of these clusters is characterized by high proportions from a single topic. Here we show a surprising result: the clusters are enriched for the top marker genes for these cell types (e.g., CD79A, NKG7), but not the associated topics.

Load the packages used in the analysis below.

library(Matrix)
library(dplyr)
library(fastTopics)
library(ggplot2)
library(ggrepel)
library(cowplot)
source("../code/more_plots.R")

Load data and results

Load the mixture of FACS-purified PBMC data and the \(k = 6\) Poisson NMF model fit.

fit_purified <-
  readRDS("../output/pbmc-purified/rds/fit-pbmc-purified-scd-ex-k=6.rds")$fit
load("../data/pbmc_purified.RData")
counts_purified <- counts
genes_purified  <- genes
rm(samples,genes,counts)

Load the “unsorted” 68k PBMC data and the \(k = 6\) Poisson NMF model fit.

fit_68k <- readRDS("../output/pbmc-68k/rds/fit-pbmc-68k-scd-ex-k=6.rds")$fit
load("../data/pbmc_68k.RData")
counts_68k <- counts
genes_68k  <- genes
rm(samples,genes,counts)

Load the clustering of the purified and 68k data set that was determined in the “plots_pbmc” analysis.

load("../output/pbmc-clustering.RData")

Perform differential expression analysis with the topic model

Compute the differential expression statistics for the purified data.

timing <- system.time(
  diff_count_purified <- diff_count_analysis(fit_purified,counts_purified))
cat(sprintf("Computation took %0.2f seconds.\n",timing["elapsed"]))
# Fitting 21952 x 6 = 131712 univariate Poisson models.
# Computing log-fold change statistics.
# Computation took 155.91 seconds.

Warning: The above code chunk cached its results, but it won’t be re-run if previous chunks it depends on are updated. If you need to use caching, it is highly recommended to also set knitr::opts_chunk$set(autodep = TRUE) at the top of the file (in a chunk that is not cached). Alternatively, you can customize the option dependson for each individual chunk that is cached. Using either autodep or dependson will remove this warning. See the knitr cache options for more details.

Compute the differential expression statistics for the 68k data.

timing <- system.time(
  diff_count_68k <- diff_count_analysis(fit_68k,counts_68k))
cat(sprintf("Computation took %0.2f seconds.\n",timing["elapsed"]))
# Fitting 20387 x 6 = 122322 univariate Poisson models.
# Computing log-fold change statistics.
# Computation took 79.61 seconds.

Warning: The above code chunk cached its results, but it won’t be re-run if previous chunks it depends on are updated. If you need to use caching, it is highly recommended to also set knitr::opts_chunk$set(autodep = TRUE) at the top of the file (in a chunk that is not cached). Alternatively, you can customize the option dependson for each individual chunk that is cached. Using either autodep or dependson will remove this warning. See the knitr cache options for more details.

Perform differential expression analysis using the clusters

Perform a differential expression analysis using the clustering of the purified data.

fit_clusters_purified <-
  init_poisson_nmf_from_clustering(counts_purified,samples_purified$cluster)
diff_count_clusters_purified <- diff_count_analysis(fit_clusters_purified,
                                                    counts_purified)
# All topic proportions are either zero or one; using simpler single-topic calculations for model parameter estimates
# Fitting 21952 x 6 = 131712 univariate Poisson models.
# Computing log-fold change statistics.

Warning: The above code chunk cached its results, but it won’t be re-run if previous chunks it depends on are updated. If you need to use caching, it is highly recommended to also set knitr::opts_chunk$set(autodep = TRUE) at the top of the file (in a chunk that is not cached). Alternatively, you can customize the option dependson for each individual chunk that is cached. Using either autodep or dependson will remove this warning. See the knitr cache options for more details.

Perform a differential expression analysis using the clustering of the 68k data.

fit_clusters_68k <- init_poisson_nmf_from_clustering(counts_68k,
                                                     samples_68k$cluster)
diff_count_clusters_68k <- diff_count_analysis(fit_clusters_68k,counts_68k)
# All topic proportions are either zero or one; using simpler single-topic calculations for model parameter estimates
# Fitting 20387 x 9 = 183483 univariate Poisson models.
# Computing log-fold change statistics.

Warning: The above code chunk cached its results, but it won’t be re-run if previous chunks it depends on are updated. If you need to use caching, it is highly recommended to also set knitr::opts_chunk$set(autodep = TRUE) at the top of the file (in a chunk that is not cached). Alternatively, you can customize the option dependson for each individual chunk that is cached. Using either autodep or dependson will remove this warning. See the knitr cache options for more details.

B-cells

In the purified data set, compare the gene-wise z-scores from topic 3 to the z-scores from cluster B.

p1 <- logfoldchange_scatterplot(diff_count_clusters_purified$beta[,"B"],
                                diff_count_purified$beta[,3],
                                diff_count_purified$colmeans) +
  labs(x = "cluster B",y = "topic 3",title = "log-fold change (beta)")
p2 <- zscores_scatterplot(diff_count_clusters_purified$Z[,"B"],
                          diff_count_purified$Z[,3],
                          diff_count_purified$colmeans,
                          genes_purified$symbol,
                          label_above_score = 250,
                          zmax = 650) +
  labs(x = "cluster B",y = "topic 3",title = "z-scores")
plot_grid(p1,p2)

B-cell marker CD79A only emerges in the cluster, and shows no enrichment in the corresponding topic. This is not a fluke—we observe the exact same result in the 68k data when we compare the gene-wise z-scores from topic 5 to the z-scores from cluster A2:

p3 <- logfoldchange_scatterplot(diff_count_clusters_68k$beta[,"A2"],
                                diff_count_68k$beta[,5],
                                diff_count_68k$colmeans) +
  labs(x = "cluster A2",y = "topic 5",title = "log-fold change (beta)")
p4 <- zscores_scatterplot(diff_count_clusters_68k$Z[,"A2"],
                          diff_count_68k$Z[,5],
                          diff_count_68k$colmeans,
                          genes_68k$symbol,
                          label_above_score = 175,
                          zmax = 500) +
  labs(x = "cluster A2",y = "topic 5",title = "z-scores")
plot_grid(p3,p4)

Version Author Date
8cdad6c Peter Carbonetto 2020-09-08
35d7ca9 Peter Carbonetto 2020-09-08

NK cells

We observe a similar—yet more striking—result in natural killer cells. In the purified data set, compare the gene-wise z-scores from topic 4 to the z-scores from cluster A1:

p5 <- logfoldchange_scatterplot(diff_count_clusters_purified$beta[,"A1"],
                                diff_count_purified$beta[,4],
                                diff_count_purified$colmeans) +
  labs(x = "cluster A1",y = "topic 4",title = "log-fold change (beta)")
p6 <- zscores_scatterplot(diff_count_clusters_purified$Z[,"A1"],
                          diff_count_purified$Z[,4],
                          diff_count_purified$colmeans,
                          genes_purified$symbol,
                          label_above_score = 250,
                          zmax = 750) +
  labs(x = "cluster A1",y = "topic 4",title = "z-scores")
plot_grid(p5,p6)

Version Author Date
8cdad6c Peter Carbonetto 2020-09-08
35d7ca9 Peter Carbonetto 2020-09-08

Genes NKG7 and GNLY (granulysin), both characteristic NK genes, are very strongly enriched in the cluster, and not at all in the topic.

The 68k data, comparing the gene-wise z-scores from topic 3 to the z-scores from cluster A1b, replicates this striking result:

p7 <- logfoldchange_scatterplot(diff_count_clusters_68k$beta[,"A1b"],
                                diff_count_68k$beta[,3],
                                diff_count_68k$colmeans) +
  labs(x = "cluster A1b",y = "topic 3",title = "log-fold change (beta)")
p8 <- zscores_scatterplot(diff_count_clusters_68k$Z[,"A1b"],
                          diff_count_68k$Z[,3],
                          diff_count_68k$colmeans,
                          genes_68k$symbol,
                          label_above_score = 250) +
  labs(x = "cluster A1b",y = "topic 3",title = "z-scores")
plot_grid(p7,p8)

These results suggest the clusters and topics appear to be highlighting different biological patterns.


sessionInfo()
# R version 3.6.2 (2019-12-12)
# Platform: x86_64-apple-darwin15.6.0 (64-bit)
# Running under: macOS Catalina 10.15.6
# 
# Matrix products: default
# BLAS:   /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRblas.0.dylib
# LAPACK: /Library/Frameworks/R.framework/Versions/3.6/Resources/lib/libRlapack.dylib
# 
# locale:
# [1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
# 
# attached base packages:
# [1] stats     graphics  grDevices utils     datasets  methods   base     
# 
# other attached packages:
# [1] cowplot_1.0.0      ggrepel_0.9.0      ggplot2_3.3.0      fastTopics_0.3-175
# [5] dplyr_0.8.3        Matrix_1.2-18     
# 
# loaded via a namespace (and not attached):
#  [1] Rcpp_1.0.5           lattice_0.20-38      tidyr_1.0.0         
#  [4] prettyunits_1.1.1    assertthat_0.2.1     zeallot_0.1.0       
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# [10] backports_1.1.5      MatrixModels_0.4-1   evaluate_0.14       
# [13] coda_0.19-3          httr_1.4.1           pillar_1.4.3        
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# [31] xfun_0.11            pkgconfig_2.0.3      mcmc_0.9-6          
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# [46] jsonlite_1.6         gtable_0.3.0         lifecycle_0.1.0     
# [49] git2r_0.26.1         magrittr_1.5         scales_1.1.0        
# [52] RcppParallel_4.4.2   stringi_1.4.3        farver_2.0.1        
# [55] fs_1.3.1             promises_1.1.0       vctrs_0.2.1         
# [58] tools_3.6.2          glue_1.3.1           purrr_0.3.3         
# [61] hms_0.5.2            yaml_2.2.0           colorspace_1.4-1    
# [64] plotly_4.9.2         knitr_1.26           quantreg_5.54       
# [67] MCMCpack_1.4-5