Last updated: 2020-08-20

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Knit directory: single-cell-topics/analysis/

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Rmd 61917ad Peter Carbonetto 2020-08-18 Working on new analysis, plots_tracheal_epithelium.Rmd.

TO DO: Add introductory text here.

Load the packages used in the analysis below.

library(fastTopics)
library(dplyr)
library(ggplot2)
library(cowplot)
source("../code/plots.R")

Load the sample annotations. (The count data are no longer needed at this stage of the analysis.)

load("../data/droplet.RData")
samples_droplet <- samples
load("../data/pulseseq.RData")
samples_pulseseq <- samples
rm(samples,counts)

Load the \(k = 7\) Poisson NMF model fit for the droplet data, and the \(k = 11\) Poisson NMF fit for the pulse-seq data.

fit_droplet <- readRDS("../output/droplet/rds/fit-droplet-scd-ex-k=7.rds")$fit
fit_pulseseq <- readRDS("../output/pulseseq/rds/fit-pulseseq-scd-ex-k=11.rds")$fit

The Montoro et al (2018) article mentions that some epithelial cell types are abundant, whereas others are very rare. The topics in the droplet data reflect this:

p1 <- create_abundance_plot(fit_droplet)
print(p1)

Version Author Date
0a04fc1 Peter Carbonetto 2020-08-18

The first topic—which is not visible in the bar chart—is indeed very rare; only 43 out of 7,193 samples have a greater than 10% contribution from this topic.

sum(poisson2multinom(fit_droplet)$L[,1] > 0.1)
# [1] 43

Likewise, we also pick up rare and abundant topics in the pulse-seq data:

p2 <- create_abundance_plot(fit_pulseseq)
print(p2)

Version Author Date
0a04fc1 Peter Carbonetto 2020-08-18

In this next part of the analysis, we perform PCA on the estimated topic proportions to explore structure in the data as inferred by the topic model. Typically a nonlinear embedding method such as t-SNE or UMAP is used to visualize the structure, but the disadvantage such methods is that it can often be difficult to get the (many) tuning parameters right, and they are sometimes very slow for large data sets; by contrast, PCA has no tuning parameters.

These three scatterplots show the droplet samples (the topic proportions) projected onto 5 out of the 7 PCs. (PCs 3 and 7 do not reveal any additional structure, so are not shown here.)

p3 <- basic_pca_plot(fit_droplet,c("PC1","PC2"))
p4 <- basic_pca_plot(fit_droplet,c("PC4","PC5"))
p5 <- basic_pca_plot(fit_droplet,c("PC5","PC6"))
plot_grid(p3,p4,p5,nrow = 1)

Version Author Date
8b9b528 Peter Carbonetto 2020-08-19
01afbd2 Peter Carbonetto 2020-08-18

Distinct clusters show up in the PC1 vs. PC2 plot, as well as in the PC5 vs. PC6 plot, whereas the structure in PC4 vs. PC5 is very much continuously varying.

Let’s look more closely at the topics that show variation in the first two PCs:

p6 <- pca_plot(poisson2multinom(fit_droplet),pcs = 1:2,k = c(2,5,6),
               plot_grid_call = function (plots)
                 do.call(plot_grid,c(lapply(plots,
                   function (x) x + guides(fill = "none")),list(nrow = 1))))
print(p6)

Version Author Date
5a35bbd Peter Carbonetto 2020-08-19
8b9b528 Peter Carbonetto 2020-08-19

The bulk of the samples lie on a continuous gradient between topics 2 and 5. There is a smaller cluster at the bottom of this plot, with high contributions from topic 6.

Next, we look closely at PCs 4 and 5:

p7 <- pca_plot(poisson2multinom(fit_droplet),pcs = 4:5,k = c(3,4,5,7),
               plot_grid_call = function (plots)
                 do.call(plot_grid,c(lapply(plots,
                   function (x) x + guides(fill = "none")),list(nrow = 1))))
print(p7)

Version Author Date
f4bdf19 Peter Carbonetto 2020-08-19
fb21b3b Peter Carbonetto 2020-08-19
5a35bbd Peter Carbonetto 2020-08-19
8b9b528 Peter Carbonetto 2020-08-19

Along these PCs, we see that topics 3, 4, 5 and 7 exist in many combinations, with no apparent distinct populations.

Topic 1 captures a very small discrete population of cells:

p8 <- pca_plot(poisson2multinom(fit_droplet),pcs = 5:6,k = 1) +
        guides(fill = "none")
print(p8)

Version Author Date
8b9b528 Peter Carbonetto 2020-08-19

In summary, topics 1 and 6 pick up discrete “cell types”, whereas the other topics characterize more continuous variation in gene expression, perhaps cell types along a continuous trajectory of development. There are some other discrete clusters that seem to be composed of distinct combinations of topics that we will neeed to examine more closely.

As suggested by this analysis, we can easily delineate four clusters, the majority of which are included in cluster labeled c_1$. Here we construct this clustering by hand, using the PCs computed from the topic cproportions:

pca_droplet <- prcomp(poisson2multinom(fit_droplet)$L)$x
n    <- nrow(pca_droplet)
x    <- rep("c0",n)
pc1  <- pca_droplet[,"PC1"]
pc2  <- pca_droplet[,"PC2"]
pc6  <- pca_droplet[,"PC6"]
x[pc2 > -0.1]  <- "c1"
x[pc6 < -0.04] <- "c2"
x[(pc1 - 0)^2 + (pc2 + 0.75)^2 < 0.09]  <- "c3"
x[(pc1 - 0.5)^2 + (pc2 + 0.9)^2 < 0.04] <- "c4"
samples_droplet$cluster <- factor(x)
print(table(samples_droplet$cluster))
# 
#   c0   c1   c2   c3   c4 
#   73 6533   50  162  375

Indeed, the vast majority of the cells are in the \(c_1\) cluster.

These next few scatterplots show the same PCs as before, with the samples labeled according to their assignment to these clusters:

droplet_cluster_colors <- c("gray","darkblue","gold","yellowgreen","firebrick")
p9 <- pca_plot_with_labels(fit_droplet,c("PC1","PC2"),samples_droplet$cluster,
                           droplet_cluster_colors) + labs(fill = "cluster")
p10 <- pca_plot_with_labels(fit_droplet,c("PC4","PC5"),samples_droplet$cluster,
                            droplet_cluster_colors) + labs(fill = "cluster")
p11 <- pca_plot_with_labels(fit_droplet,c("PC5","PC6"),samples_droplet$cluster,
                            droplet_cluster_colors) + labs(fill = "cluster")
plot_grid(p9,p10,p11)

Version Author Date
adda33f Peter Carbonetto 2020-08-19
0a16b60 Peter Carbonetto 2020-08-19

In the following, we will treat the more abundant clusters, \(c_1\) and \(c_4\), separately from the rest of the samples.

TO DO: Add text here.

p12 <- pca_plot(poisson2multinom(fit_pulseseq),pcs = 3:4,k = 7)
p13 <- pca_plot(poisson2multinom(fit_pulseseq),pcs = 5:6,k = 2)
plot_grid(p12,p13)

Version Author Date
b17bfa4 Peter Carbonetto 2020-08-19

TO DO: Add text here.

droplet_topic_colors <- c("gold","royalblue","turquoise","greenyellow",
                          "forestgreen","firebrick","olivedrab")
names(droplet_topic_colors) <- paste0("k",1:7)                       
topics <- c("k1","k3","k4","k5","k7","k2","k6")
set.seed(1)
fit_droplet_rare <- select(poisson2multinom(fit_droplet),
                           loadings = which(samples_droplet$cluster != "c1" &
                                            samples_droplet$cluster != "c4"))
p12 <- structure_plot(fit_droplet_rare,verbose = FALSE,perplexity = 50,
                      topics = topics,
                      colors = droplet_topic_colors[topics])
print(p12)

Version Author Date
b17bfa4 Peter Carbonetto 2020-08-19
0a16b60 Peter Carbonetto 2020-08-19
fb21b3b Peter Carbonetto 2020-08-19

TO DO: Add text here.

topics <- c("k1","k3","k4","k7","k5","k2","k6")
set.seed(1)
fit_droplet_abundant <-
  select(poisson2multinom(fit_droplet),
                          loadings = which(samples_droplet$cluster == "c1" |
                                           samples_droplet$cluster == "c4"))
p13 <- structure_plot(fit_droplet_abundant,n = 2000,perplexity = 50,
                      verbose = FALSE,topics = topics,
                      colors = droplet_topic_colors[topics],
                      scaling = c(1,1,1,1,2,1,1))
print(p13)

Version Author Date
b17bfa4 Peter Carbonetto 2020-08-19
adda33f Peter Carbonetto 2020-08-19
0a16b60 Peter Carbonetto 2020-08-19
f4bdf19 Peter Carbonetto 2020-08-19
temp <- select(poisson2multinom(fit_droplet),
               loadings = which(samples_droplet$tissue == "Ionocyte"))
structure_plot(temp,rows = order(temp$L[,3]),
                      topics = topic_ordering,
                      colors = droplet_topic_colors[topic_ordering])
temp2 <- select(poisson2multinom(fit_droplet),
                loadings = which(samples_droplet$tissue == "Tuft"))
structure_plot(temp2,perplexity = 30,
               topics = topic_ordering,
               colors = droplet_topic_colors[topic_ordering])
temp3 <- select(poisson2multinom(fit_droplet),
                loadings = which(samples_droplet$tissue == "Neuroendocrine"))
structure_plot(temp3,perplexity = 30,
               topics = topic_ordering,
               colors = droplet_topic_colors[topic_ordering])

It is helpful to compare these results with clustering reported in the Montoro et al (2018) paper. To make this comparison, we layer the 7 clusters on top of these PCs:

droplet_celltype_colors <-
  c("royalblue",      # Basal
    "firebrick",      # Ciliated
    "forestgreen",    # Club
    "gold",           # Goblet
    "darkmagenta",    # Ionocyte
    "darkorange",     # Neuroendocrine
    "lightsteelblue") # Tuft
p9 <- pca_plot_with_labels(fit_droplet,c("PC1","PC2"),samples_droplet$tissue,
                           droplet_celltype_colors) + labs(fill = "celltype")
p10 <- pca_plot_with_labels(fit_droplet,c("PC4","PC5"),samples_droplet$tissue,
                            droplet_celltype_colors) + labs(fill = "celltype")
p11 <- pca_plot_with_labels(fit_droplet,c("PC5","PC6"),samples_droplet$tissue,
                            droplet_celltype_colors) + labs(fill = "celltype")
plot_grid(p9,p10,p11)

Version Author Date
aca46cc Peter Carbonetto 2020-08-19
5a35bbd Peter Carbonetto 2020-08-19
c517ea2 Peter Carbonetto 2020-08-18
01afbd2 Peter Carbonetto 2020-08-18

TO DO: Add Structure plot9s) to compare Montoro et al (2018) clustering.

And likewise in the pulse-seq data:

p5 <- basic_pca_plot(fit_pulseseq,c("PC3","PC4"))
p6 <- basic_pca_plot(fit_pulseseq,c("PC5","PC6"))
plot_grid(p5,p6)
ggplot(cbind(pca$x,data.frame(k2 = fit$L[,2])),
       aes(x = PC1,y = PC2,fill = k2)) +
  geom_point(shape = 21,color = "white",size = 2) +
  scale_fill_gradient2(low = "deepskyblue",mid = "gold",high = "orangered",
                       midpoint = 0.5) +
  theme_cowplot(font_size = 12)
ggplot(cbind(pca$x,data.frame(k5 = fit$L[,5])),
       aes(x = PC1,y = PC2,fill = k5)) +
  geom_point(shape = 21,color = "white",size = 2) +
  scale_fill_gradient2(low = "deepskyblue",mid = "gold",high = "orangered",
                       midpoint = 0.5) +
  theme_cowplot(font_size = 12)
ggplot(cbind(pca$x,data.frame(k6 = fit$L[,6])),
       aes(x = PC1,y = PC2,fill = k6)) +
  geom_point(shape = 21,color = "white",size = 2) +
  scale_fill_gradient2(low = "deepskyblue",mid = "gold",high = "orangered",
                       midpoint = 0.5) +
  theme_cowplot(font_size = 12)
ggplot(cbind(pca$x,data.frame(k1 = fit$L[,1])),
       aes(x = PC5,y = PC6,fill = k1)) +
  geom_point(shape = 21,color = "white",size = 2) +
  scale_fill_gradient2(low = "deepskyblue",mid = "gold",high = "orangered",
                       midpoint = 0.5) +
  theme_cowplot(font_size = 12)
ggplot(cbind(pca$x,data.frame(k3 = fit$L[,3])),
       aes(x = PC1,y = PC2,fill = k3)) +
  geom_point(shape = 21,color = "white",size = 2) +
  scale_fill_gradient2(low = "deepskyblue",mid = "gold",high = "orangered",
                       midpoint = 0.5) +
  theme_cowplot(font_size = 12)
ggplot(cbind(pca$x,data.frame(k4 = fit$L[,4])),
       aes(x = PC1,y = PC2,fill = k4)) +
  geom_point(shape = 21,color = "white",size = 2) +
  scale_fill_gradient2(low = "deepskyblue",mid = "gold",high = "orangered",
                       midpoint = 0.5) +
  theme_cowplot(font_size = 12)
ggplot(cbind(samples_droplet,pca$x),aes(x = PC1,y = PC2,fill = tissue)) +
  geom_point(shape = 21,color = "white",size = 2) +
  scale_fill_manual(values = clrs) +
  theme_cowplot(font_size = 12)
ggplot(cbind(samples_droplet,pca$x),aes(x = PC5,y = PC6,fill = tissue)) +
  geom_point(shape = 21,color = "white",,size = 2) +
  scale_fill_manual(values = clrs) +
  theme_cowplot(font_size = 12)
clrs <- c("royalblue",      # basal
          "firebrick",      # ciliated
          "forestgreen",    # club
          "gold",           # goblet
          "darkmagenta",    # ionocyte
          "darkorange",     # neuroendocrine
          "tomato",         # proliferating
          "darkgray")       # tuft
ggplot(cbind(samples_droplet,pca$x),aes(x = PC1,y = PC2,fill = tissue)) +
  geom_point(shape = 21,color = "white",size = 2) +
  scale_fill_manual(values = clrs) +
  theme_cowplot(font_size = 12)
ggplot(cbind(samples_droplet,pca$x),aes(x = PC5,y = PC6,fill = tissue)) +
  geom_point(shape = 21,color = "white",,size = 2) +
  scale_fill_manual(values = clrs) +
  theme_cowplot(font_size = 12)

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] cowplot_1.0.0      ggplot2_3.3.0      dplyr_0.8.3        fastTopics_0.3-162
# 
# 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