Last updated: 2020-08-22
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TO DO: Add introductory text here.
Load the packages used in the analysis below.
library(dplyr)
library(fastTopics)
library(ggplot2)
library(cowplot)
library(Ternary)
source("../code/plots.R")
Load the sample annotations. (The count data are no longer needed at this stage of the analysis, so I have removed them.)
load("../data/pbmc_purified.RData")
samples_purified <- samples
load("../data/pbmc_68k.RData")
samples_68k <- samples
rm(genes,counts)
Load the \(k = 6\) Poisson NMF model fits for both PBMC data sets. In the descriptions below, I refer to these Poisson NMF model fits as the “purified” and “68k” fits.
To aid presentation of the results, topics in the 68k fit are reordered to better align with the topics in purified Poisson NMF fit.
fit_purified <-
readRDS("../output/pbmc-purified/rds/fit-pbmc-purified-scd-ex-k=6.rds")$fit
fit_68k <- readRDS("../output/pbmc-68k/rds/fit-pbmc-68k-scd-ex-k=6.rds")$fit
cols <- c(4,1,5,3,6,2)
fit_68k$F <- fit_68k$F[,cols]
fit_68k$L <- fit_68k$L[,cols]
colnames(fit_68k$F) <- paste0("k",1:6)
colnames(fit_68k$L) <- paste0("k",1:6)
We begin by exploring structure in the data as inferred by the topic model. We will visualize this structure by plotting principal components (PCs) of the topic proportions. Although PCA is simple, we will see that it quite effective, and avoids the complications of nonlinear dimensionality reduction techniques such as t-SNE and UMAP.
We begin with the mixture of FACS-purified PBMC data.
fit <- poisson2multinom(fit_purified)
pca <- prcomp(fit$L)$x
Three large clusters are clearly evident from first two PCs (there is also finer-scale structure which we will examine shortly). We label these clusters as “A”, “B” and “C”.
n <- nrow(pca)
x <- rep("C",n)
pc1 <- pca[,"PC1"]
pc2 <- pca[,"PC2"]
x[pc1 + 0.2 > pc2] <- "A"
x[pc2 > 0.25] <- "B"
x[(pc1 + 0.4)^2 + (pc2 + 0.1)^2 < 0.07] <- "C"
samples_purified$cluster <- x
p1 <- pca_plot_with_labels(fit_purified,c("PC1","PC2"),
samples_purified$cluster) +
labs(fill = "cluster")
print(p1)
Version | Author | Date |
---|---|---|
38f07a2 | Peter Carbonetto | 2020-08-20 |
Most of the samples are in cluster A:
table(x)
# x
# A B C
# 72614 10439 11602
In cluster C, there are two well-defined subclusters, labeled “C1” and “C2”. There are other possible subclusters that are less defined, but here we focus on the most obvious clustering:
rows <- which(samples_purified$cluster == "C")
fit <- select(poisson2multinom(fit_purified),loadings = rows)
pca <- prcomp(fit$L)$x
n <- nrow(pca)
x <- rep("C3",n)
pc1 <- pca[,1]
pc2 <- pca[,2]
x[pc1 < 0 & pc2 < 0.4] <- "C1"
x[pc1 > 0.5 & pc2 < 0.3] <- "C2"
samples_purified$cluster[rows] <- x
p5 <- pca_plot_with_labels(fit,c("PC1","PC2"),x) +
labs(fill = "cluster")
print(p5)
The two subclusters C1 and C2 account for most of the samples:
table(x)
# x
# C1 C2 C3
# 7822 2990 790
Let’s now look more closely at cluster A. There is a large, much less distinct subcluster, which we label as “A1”. Otherwise, there is are other clearly well-defined clusters.
rows <- which(samples_purified$cluster == "A")
fit <- select(poisson2multinom(fit_purified),loadings = rows)
pca <- prcomp(fit$L)$x
n <- nrow(fit$L)
x <- rep("A2",n)
pc1 <- pca[,1]
pc2 <- pca[,2]
x[pc1 > 0.6 - pc2] <- "A1"
samples_purified$cluster[rows] <- x
p6 <- pca_plot_with_labels(fit,c("PC1","PC2"),x) +
labs(fill = "cluster")
print(p6)
Next, we turn to the 68k fit.
fit <- poisson2multinom(fit_68k)
pca <- prcomp(fit$L)$x
Here, we find least three distinct clusters in the projection onto PCs 3 and 4:
n <- nrow(pca_68k)
x <- rep("c1",n)
pc3 <- pca_68k[,"PC3"]
pc4 <- pca_68k[,"PC4"]
x[pc4 > 0.13 | pc3/1.9 - 0.17 > -pc4] <- "c2"
x[pc4 > 0.75] <- "c3"
samples_68k$cluster <- factor(x)
pbmc_68k_cluster_colors <- c("cornflowerblue","darkorange","firebrick")
p2 <- pca_plot_with_labels(fit_68k,c("PC3","PC4"),factor(x),
pbmc_68k_cluster_colors) +
labs(fill = "cluster")
print(p2)
The vast majority of the cells are in the first (blue) cluster:
table(samples_68k$cluster)
TO DO: Add text here.
set.seed(1)
pbmc_purified_topics <- c(2,5,1,3,4,6)
pbmc_purified_topic_colors <- c("gold","forestgreen","dodgerblue",
"gray","greenyellow","magenta")
rows <- sort(c(sample(which(samples_purified$cluster == "c1"),1200),
sample(which(samples_purified$cluster == "c2"),600),
sample(which(samples_purified$cluster == "c3"),600)))
p3 <- structure_plot(select(poisson2multinom(fit_purified),loadings = rows),
grouping = samples_purified[rows,"cluster"],
topics = pbmc_purified_topics,
colors = pbmc_purified_topic_colors[pbmc_purified_topics],
gap = 40,num_threads = 4,verbose = FALSE)
print(p3)
TO DO: Add text here.
set.seed(1)
pbmc_68k_topics <- c(2,5,1,3,4,6)
pbmc_68k_topic_colors <- c("darkorange","olivedrab","dodgerblue",
"gray","royalblue","magenta")
rows <- sort(c(sample(which(samples_68k$cluster == "c1"),1400),
sample(which(samples_68k$cluster == "c2"),500),
which(samples_68k$cluster == "c3")))
p4 <- structure_plot(select(poisson2multinom(fit_68k),loadings = rows),
grouping = samples_68k[rows,"cluster"],
topics = pbmc_68k_topics,
colors = pbmc_68k_topic_colors[pbmc_68k_topics],
gap = 40,num_threads = 4,verbose = FALSE)
print(p4)
TO DO: Before comparing to Zheng et al (2017) labeling, do more manual identification of clusters from the PCA plots.
with(samples_purified,table(celltype,cluster))
Comparison to Zheng et al (2017) cell-type labeling of the FACS-purified PBMC data. In fit_purified
, cluster 2 captures B-cells; cluster 3 is almost exclusively CD34+ and CD14+ monocytes:
Now let’s look more closely at cluster 1 in fit_purified
:
par(mar = c(0,0,0,0))
rows <- which(samples_purified$cluster == "c1")
TernaryPlot(alab = "k1",blab = "k4",clab = "k6",
grid.col = "gainsboro",grid.minor.lines = 0)
TernaryPoints(pdat[rows,c(1,4,6)],pch = 21,cex = 0.65,col = "white",
bg = as.character(pdat[rows,"celltype"]))
In fit_68k
, cluster 2 mostly consists of CD14+ monocyte and dendritic cells, whereas cluster 3 is a small population of CD34+ cells.
with(samples_68k,table(celltype,cluster))
Let’s look more closely at cluster 2 in fit_68k
:
par(mar = c(0,0,0,0))
pbmc_68k_celltype_colors <-
c("forestgreen", # CD14+ Monocyte
"dodgerblue", # CD19+ B
"palegreen", # CD34+"
"yellowgreen", # CD4+ T Helper2
"gold", # CD4+/CD25 T Reg
"darkorange", # CD4+/CD45RA+/CD25- Naive T
"gold", # CD4+/CD45RO+ Memory"
"gray", # CD56+ NK
"tomato", # CD8+ Cytotoxic T
"magenta", # CD8+/CD45RA+ Naive Cytotoxic"
"darkmagenta") # Dendritic"
L <- poisson2multinom(fit_68k)$L
pdat <- cbind(L,samples_68k["celltype"])
rows <- which(samples_68k$cluster == "c2")
levels(pdat$celltype) <- pbmc_68k_celltype_colors
TernaryPlot(alab = "k3",blab = "k5",clab = "k6",
grid.col = "gainsboro",grid.minor.lines = 0)
TernaryPoints(pdat[rows,c(3,5,6)],pch = 21,cex = 0.65,col = "white",
bg = as.character(pdat[rows,"celltype"]))
Finally, let’s look more closely at cluster 1 in fit_68k
:
par(mar = c(0,0,0,0))
rows <- which(samples_68k$cluster == "c1")
TernaryPlot(alab = "k2",blab = "k4",clab = "k6",
grid.col = "gainsboro",grid.minor.lines = 0)
TernaryPoints(pdat[rows,c(2,4,6)],pch = 21,cex = 0.65,col = "white",
bg = as.character(pdat[rows,"celltype"]))
p4 <- pca_plot_with_labels(fit_purified,c("PC1","PC2"),
samples_purified$celltype,
purified_celltype_colors) + labs(fill = "celltype")
p5 <- pca_plot_with_labels(fit_purified,c("PC4","PC5"),
samples_purified$celltype,
purified_celltype_colors) + labs(fill = "celltype")
pbmc_purified_celltype_colors <-
c("dodgerblue", # CD19+ B
"forestgreen", # CD14+ Monocyte
"palegreen", # CD34+
"plum", # CD4+ T Helper2
"gray", # CD56+ NK
"tomato", # CD8+ Cytotoxic T
"gold", # CD4+/CD45RO+ Memory
"magenta", # CD8+/CD45RA+ Naive Cytotoxic
"darkorange", # CD4+/CD45RA+/CD25- Naive T
"yellowgreen") # CD4+/CD25 T Reg
Loadings plot:
loadings_plot(poisson2multinom(fit_purified),samples_purified$celltype)
loadings_plot(poisson2multinom(fit_68k),samples_68k$celltype)
PCA plot:
clrs <- c("forestgreen", # CD14+ Monocyte
"dodgerblue", # CD19+ B
"darkmagenta", # CD34+"
"yellowgreen", # CD4+ T Helper2
"gold", # CD4+/CD25 T Reg
"limegreen", # CD4+/CD45RA+/CD25- Naive T
"orange", # CD4+/CD45RO+ Memory"
"gray", # CD56+ NK
"tomato", # CD8+ Cytotoxic T
"magenta", # CD8+/CD45RA+ Naive Cytotoxic"
"darkblue") # Dendritic"
fit2 <- poisson2multinom(fit)
pca <- prcomp(fit2$L)
pdat <- cbind(samples,pca$x)
ggplot(pdat,aes(x = PC3,y = PC4,fill = celltype)) +
geom_point(shape = 21,color = "white",size = 1.5) +
scale_fill_manual(values = clrs) +
theme_cowplot(font_size = 10)
t-SNE plot:
set.seed(1)
p2 <- tsne_plot(fit,n = 8000,num_threads = 4)
Differential count analysis:
diff_count_res <- diff_count_analysis(fit,counts)
Volcano plots:
p3 <- volcano_plot(diff_count_res,labels = genes$symbol,
label_above_quantile = 0.995)
Structure plots:
set.seed(1)
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD19+ B"))
p4 <- structure_plot(fit2,n = 2000,num_threads = 4) # B-cells.
set.seed(1)
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD56+ NK"))
p5 <- structure_plot(fit2,n = 2000,num_threads = 4) # NK cells.
set.seed(1)
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD34+"))
p6 <- structure_plot(fit2,num_threads = 4,perplexity = 50) # CD34+ cells
set.seed(1)
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD14+ Monocyte"))
p7 <- structure_plot(fit2,num_threads = 4) # CD14+ monocytes
set.seed(1)
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "Dendritic"))
p8 <- structure_plot(fit2,num_threads = 4) # dendritic cells
plot_grid(p7,p8,nrow = 2)
set.seed(1)
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD4+ T Helper2"))
p9 <- structure_plot(fit2,num_threads = 4,perplexity = 30) +
ggtitle("CD4+ T Helper2") +
set.seed(1)
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD4+/CD45RA+/CD25- Naive T"))
p10 <- structure_plot(fit2,num_threads = 4) +
ggtitle("CD4+/CD45RA+/CD25- Naive T")
set.seed(1)
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD4+/CD45RO+ Memory"))
p11 <- structure_plot(fit2,num_threads = 4) +
ggtitle("CD4+/CD45RO+ Memory")
set.seed(1)
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD4+/CD25 T Reg"))
p12 <- structure_plot(fit2,num_threads = 4) +
ggtitle("CD4+/CD25 T Reg")
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD8+/CD45RA+ Naive Cytotoxic"))
p13 <- structure_plot(fit2,num_threads = 4) +
ggtitle("CD8+/CD45RA+ Naive Cytotoxic")
fit2 <- select(poisson2multinom(fit),
loadings = which(samples$celltype == "CD8+ Cytotoxic T"))
p14 <- structure_plot(fit2,num_threads = 4) +
ggtitle("CD8+ Cytotoxic T")
plot_grid(p9,p10,p11,p12,p13,p14,nrow = 6)
Another structure plot:
p15 <- structure_plot(fit,num_threads = 4)
sessionInfo()
# R version 3.6.2 (2019-12-12)
# Platform: x86_64-apple-darwin15.6.0 (64-bit)
# Running under: macOS Catalina 10.15.5
#
# 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] Ternary_1.1.4 cowplot_1.0.0 ggplot2_3.3.0 fastTopics_0.3-163
# [5] dplyr_0.8.3
#
# loaded via a namespace (and not attached):
# [1] ggrepel_0.9.0 Rcpp_1.0.3 lattice_0.20-38
# [4] tidyr_1.0.0 prettyunits_1.1.1 assertthat_0.2.1
# [7] zeallot_0.1.0 rprojroot_1.3-2 digest_0.6.23
# [10] R6_2.4.1 backports_1.1.5 MatrixModels_0.4-1
# [13] evaluate_0.14 coda_0.19-3 httr_1.4.1
# [16] pillar_1.4.3 rlang_0.4.5 progress_1.2.2
# [19] lazyeval_0.2.2 data.table_1.12.8 irlba_2.3.3
# [22] SparseM_1.78 whisker_0.4 Matrix_1.2-18
# [25] rmarkdown_2.3 labeling_0.3 Rtsne_0.15
# [28] stringr_1.4.0 htmlwidgets_1.5.1 munsell_0.5.0
# [31] compiler_3.6.2 httpuv_1.5.2 xfun_0.11
# [34] pkgconfig_2.0.3 mcmc_0.9-6 htmltools_0.4.0
# [37] tidyselect_0.2.5 tibble_2.1.3 workflowr_1.6.2.9000
# [40] quadprog_1.5-8 viridisLite_0.3.0 crayon_1.3.4
# [43] withr_2.1.2 later_1.0.0 MASS_7.3-51.4
# [46] grid_3.6.2 jsonlite_1.6 gtable_0.3.0
# [49] lifecycle_0.1.0 git2r_0.26.1 magrittr_1.5
# [52] scales_1.1.0 RcppParallel_4.4.4 stringi_1.4.3
# [55] farver_2.0.1 fs_1.3.1 promises_1.1.0
# [58] vctrs_0.2.1 tools_3.6.2 glue_1.3.1
# [61] purrr_0.3.3 hms_0.5.2 yaml_2.2.0
# [64] colorspace_1.4-1 plotly_4.9.2 knitr_1.26
# [67] quantreg_5.54 MCMCpack_1.4-5