Last updated: 2021-11-12

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Knit directory: Multispectral HCC/

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    Modified:   output/cores_3/10_19418_T_HCC1_Core[1,7,F]_[52018,13307].tif.pdf
    Modified:   output/cores_3/10_19418_T_HCC1_Core[1,7,F]_[52018,13307]_composite_image.tif.pdf
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    Modified:   output/cores_3/12_291_T_HCC1_Core[1,5,K]_[58929,10236]_composite_image.tif.pdf
    Modified:   output/cores_3/14_55372_T_HCC2_Core[1,4,I]_[52796,8447].tif.pdf
    Modified:   output/cores_3/14_55372_T_HCC2_Core[1,4,I]_[52796,8447]_composite_image.tif.pdf
    Modified:   output/cores_3/15_04414_T_HCC2_Core[1,6,D]_[44733,11134].tif.pdf
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File Version Author Date Message
Rmd f582507 Jovan Tanevski 2021-11-12 pch 21 in cores, increase resolution
html f041ce0 Jovan Tanevski 2021-11-12 Build site.
Rmd 1a7cca3 Jovan Tanevski 2021-11-12 wflow_publish("analysis/cores_3.Rmd")
Rmd a52096d Jovan Tanevski 2021-11-12 overlay tifs with cluster info, manual silhouette calculation
Rmd baf95ea Jovan Tanevski 2021-11-12 keep all residuals, fix object access
Rmd 6ff2531 Jovan Tanevski 2021-11-11 small fix
Rmd e98088d Jovan Tanevski 2021-11-11 core analysis of all hepatocytes for one core per patient
html 515f7e6 Jovan Tanevski 2021-10-28 Build site.
html 434cb0d Jovan Tanevski 2021-10-27 Build site.
html a915f46 Jovan Tanevski 2021-10-27 Build site.
Rmd a56dc0c Jovan Tanevski 2021-10-27 remove beta-cat, add cores 3 and 4 clusters

Setup

library(skimr)
library(uwot)
library(limma)
library(NMF)
library(cowplot)
library(pheatmap)
library(RColorBrewer)
library(distances)
library(furrr)
library(raster)
library(RStoolbox)
library(tidyverse)
data <- read_csv("data/tumor_hepatocytes.csv", col_types = cols())
Warning: One or more parsing issues, see `problems()` for details
tumor.hc <- data %>%
  select(
    `Cytoplasm AGS (Opal 690) Mean (Normalized Counts, Total Weighting)`,
    `Cytoplasm BerEP4 (Opal 650) Mean (Normalized Counts, Total Weighting)`,
    `Cytoplasm CRP (Opal 540) Mean (Normalized Counts, Total Weighting)`,
    `Nucleus p-S6 (Opal 570) Mean (Normalized Counts, Total Weighting)`,
#    `Nucleus beta-cat. (Opal 520) Mean (Normalized Counts, Total Weighting)`
  ) %>%
  `colnames<-`(str_split(colnames(.), " ") %>% map_chr(~ .x[2]) %>% make.names())

skim(tumor.hc)
Data summary
Name tumor.hc
Number of rows 223846
Number of columns 4
_______________________
Column type frequency:
numeric 4
________________________
Group variables None

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
AGS 0 1 0.27 0.41 0 0.07 0.12 0.25 5.23 ▇▁▁▁▁
BerEP4 0 1 1.09 2.19 0 0.21 0.32 0.58 24.08 ▇▁▁▁▁
CRP 0 1 2.51 3.08 0 0.55 1.00 3.50 35.80 ▇▁▁▁▁
p.S6 0 1 1.31 1.25 0 0.58 0.94 1.61 35.24 ▇▁▁▁▁

Detect outliers based on Tukey’s interquartile approach and winsorize. Follow by quantile normalization and ranking to get rid of the effect of abundance

quartiles <- apply(tumor.hc, 2, \(x) quantile(x, c(.25, .75)))
lower <- quartiles[1, ] - 1.5 * (quartiles[2, ] - quartiles[1, ])
upper <- quartiles[2, ] + 1.5 * (quartiles[2, ] - quartiles[1, ])


tumor.hc.winsorized <- tumor.hc %>% imap_dfc(\(x, y){
  x[x < lower[y]] <- x[which.min(abs(x - lower[y]))]
  x[x > upper[y]] <- x[which.min(abs(x - upper[y]))]
  x
})

skim(tumor.hc.winsorized)
Data summary
Name tumor.hc.winsorized
Number of rows 223846
Number of columns 4
_______________________
Column type frequency:
numeric 4
________________________
Group variables None

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
AGS 0 1 0.19 0.16 0 0.07 0.12 0.25 0.52 ▇▅▂▁▃
BerEP4 0 1 0.46 0.35 0 0.21 0.32 0.58 1.15 ▆▇▂▁▃
CRP 0 1 2.31 2.50 0 0.55 1.00 3.50 7.93 ▇▂▁▁▂
p.S6 0 1 1.21 0.83 0 0.58 0.94 1.61 3.16 ▆▇▃▂▂
tumor.hc.norm <- normalizeQuantiles(data.frame(tumor.hc.winsorized))

skim(tumor.hc.norm)
Data summary
Name tumor.hc.norm
Number of rows 223846
Number of columns 4
_______________________
Column type frequency:
numeric 4
________________________
Group variables None

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
AGS 0 1 1.06 0.99 0 0.35 0.6 1.49 3.19 ▇▃▁▁▂
BerEP4 0 1 1.07 1.00 0 0.35 0.6 1.49 3.15 ▇▃▂▁▂
CRP 0 1 1.04 0.96 0 0.35 0.6 1.49 3.19 ▇▃▁▁▂
p.S6 0 1 1.04 0.96 0 0.35 0.6 1.49 3.19 ▇▃▁▁▂
tumor.hc.rank <- mutate_all(tumor.hc.winsorized, ~ rank(., ties.method = "min"))

Pilot run. Subsample one core per patient from the original data.

set.seed(42)
selected.cores <- data %>% select(`Sample Name`) %>% 
  mutate(sample = str_extract(`Sample Name`, "[0-9]{2}_[0-9]+")) %>% 
  group_by(`Sample Name`) %>% distinct() %>% ungroup() %>% 
  group_by(sample) %>% slice_sample() %>% pull(`Sample Name`)

subsamp <- which(data %>% pull(`Sample Name`) %in% selected.cores)

Dimensionality reduction

cache <- "output/tumor.hc.umap.rds"
if (file.exists(cache)) {
  tumor.hc.umap <- read_rds(cache)
} else {
  tumor.hc.umap <- umap(tumor.hc.norm, n_neighbors = 100, 
                        min_dist = 0.2, n_threads = 7)
  write_rds(tumor.hc.umap, cache, "gz")
}

tumor.hc.umap.sample <-
  tumor.hc.umap %>%
  `colnames<-`(c("U1", "U2")) %>%
  as_tibble()

Check if sample is representative in UMAP space

all <- ggplot(tumor.hc.umap.sample, aes(x = U1, y = U2)) +
  geom_point(size = 0.5) +
  theme_classic()

sampled <- ggplot(tumor.hc.umap.sample %>% slice(subsamp), aes(x = U1, y = U2)) +
  geom_point(color = "darkgreen", size = 0.5) +
  theme_classic()

unsampled <- ggplot(tumor.hc.umap.sample %>% slice(-subsamp), aes(x = U1, y = U2)) +
  geom_point(color = "darkred", size = 0.5) +
  theme_classic()

plot_grid(all, sampled, unsampled)

Version Author Date
f041ce0 Jovan Tanevski 2021-11-12
a915f46 Jovan Tanevski 2021-10-27

Consensus NMF

We use an efficient implementation of alternating non negative least-squares with regularized to favor sparse coefficient matrices snmf/r. In this way we aim for cleaner clustering.

cache <- "output/tumor.hc.nmf.all.3.rds"

if (file.exists(cache)) {
  tumor.hc.nmf <- read_rds(cache)
} else {
  tumor.hc.nmf <- nmf(as.matrix(t(tumor.hc.rank[subsamp, ])),
    rank = 3, method = "snmf/r",
    nrun = 10, seed = 42, verbose = TRUE,
    .options = "vkp10-m"
  )
  write_rds(tumor.hc.nmf, cache, "gz")
}

Extract basis of NMF (signature of cluster)

basismap(tumor.hc.nmf)

Version Author Date
f041ce0 Jovan Tanevski 2021-11-12
a915f46 Jovan Tanevski 2021-10-27

Assign clusters

nmf.clusters <- apply(fit(tumor.hc.nmf)@H, 2, which.max)

Plot in 2D

tumor.hc.umap.clus <-
  tumor.hc.umap.sample %>%
  slice(subsamp) %>%
  mutate(Cluster = as.factor(nmf.clusters))

ggplot(tumor.hc.umap.clus, aes(x = U1, y = U2, color = Cluster)) +
  geom_point(size = 0.5) +
  theme_classic()

Version Author Date
f041ce0 Jovan Tanevski 2021-11-12

Expression profiles per cluster

tumor.hc.clustered.nmf <- tumor.hc.norm[subsamp, ] %>%
  mutate(Cluster = as.factor(nmf.clusters)) %>%
  pivot_longer(names_to = "Marker", values_to = "Norm.value", -Cluster)

profiles <- seq_len(max(nmf.clusters)) %>% map(~
ggplot(
  tumor.hc.clustered.nmf %>% filter(Cluster == .x),
  aes(x = Marker, y = Norm.value, color = Marker)
) +
  stat_summary(fun.data = mean_sdl, show.legend = FALSE) +
  scale_color_brewer(palette = "Set2") +
  ylim(-1, 3) +
  theme_classic() +
  theme(axis.text.x = element_text(angle = 90, hjust = 1)))

plot_grid(plotlist = profiles, labels = paste("Cluster", seq_len(max(nmf.clusters))))
Warning: Removed 14390 rows containing non-finite values (stat_summary).
Warning: Removed 16165 rows containing non-finite values (stat_summary).
Warning: Removed 24968 rows containing non-finite values (stat_summary).
Warning: Removed 1 rows containing missing values (geom_segment).

Version Author Date
f041ce0 Jovan Tanevski 2021-11-12
a915f46 Jovan Tanevski 2021-10-27

Marker abundance plots

tumor.hc.umap.markers <- tumor.hc.norm %>%
  bind_cols(tumor.hc.umap.sample) %>%
  slice(subsamp)

low <- RColorBrewer::brewer.pal(8, "Set2")[8]
highs <- RColorBrewer::brewer.pal(8, "Set2")[seq_len(ncol(tumor.hc.norm))]

tumor.hc.umap.markers.plots <- colnames(tumor.hc.norm) %>%
  map2(highs, \(marker, color){
    ggplot(tumor.hc.umap.markers, aes_string(x = "U1", y = "U2", color = marker)) +
      geom_point(size = 0.5) +
      scale_color_gradient(low = low, high = color) +
      theme_classic()
  })

plot_grid(plotlist = tumor.hc.umap.markers.plots)

Version Author Date
f041ce0 Jovan Tanevski 2021-11-12
a915f46 Jovan Tanevski 2021-10-27

Core plots

tumor.hc.umap.cores <- data %>%
  select(`Sample Name`) %>%
  bind_cols(tumor.hc.umap.sample) %>%
  slice(subsamp) %>%
  mutate(
    c = nmf.clusters,
    sample = str_extract(`Sample Name`, "[0-9]+_[0-9]+")
  )

tumor.hc.umap.cores %>%
  group_by(sample) %>%
  summarize(
    Fraction = table(c) / n(),
    Cluster = names(Fraction),
    .groups = "drop"
  ) %>%
  mutate(Fraction = as.numeric(Fraction)) %>%
  pivot_wider(names_from = "Cluster", values_from = "Fraction") %>%
  column_to_rownames("sample") %>%
  mutate(across(everything(), ~ replace_na(., 0))) %>%
  as.matrix() %>%
  pheatmap(
    scale = "none",
    color = colorRampPalette(brewer.pal(n = 7, name = "YlOrBr"))(100),
    fontsize = 6
  )

Version Author Date
f041ce0 Jovan Tanevski 2021-11-12
a915f46 Jovan Tanevski 2021-10-27
tumor.hc.umap.cores %>%
  pull(sample) %>%
  unique() %>%
  walk(\(s){
    output.fig <- paste0("output/cores_3/", s, ".png")
    if (!file.exists(output.fig)) {
      png(output.fig, width  = 800, height = 800)
      (ggplot(
        tumor.hc.umap.cores %>%
          mutate(c = ifelse(sample == s, c, NA), Cluster = as.factor(c)) %>%
          arrange(!is.na(Cluster), Cluster),
        aes(x = U1, y = U2, color = Cluster)
      ) +
        geom_point(size = 0.5) +
        scale_color_discrete(na.value = "gray80") +
        theme_classic()) %>%
        print()
      dev.off()
    }
  })

Figures with UMAPs for each core can be found in output.

Overlay cluster information on available tiffs

available.images <- list.files("data/core images/", full.names = TRUE)

spatial <- data %>% 
  select(`Sample Name`, `Cell X Position`, `Cell Y Position`) %>% 
  `colnames<-`(c("sample", "X", "Y")) %>%
  slice(subsamp) %>% 
  mutate(Cluster = as.factor(nmf.clusters))

available.images %>% walk(\(img){
  id <- str_extract(img, "[0-9]{2}_[0-9]+(_[^_\\.]*){4}")
  name <- str_extract(img, "[0-9]{2}_[0-9]+(_[^_\\.]*)*.tif")
  s <- paste0(id,".im3")
  if(s %in% spatial$sample){
    rb <- brick(img)
    
    
    names(rb) <- c("r", "g", "b")
    
    pdf(paste0("output/cores_3/", name, ".pdf"))
    #the t should be flipped along the y direction to match coordinates in spatial
    (ggRGB(flip(rb, "y"), maxpixels = 1e8) + 
      geom_point(data = spatial %>% filter(sample == s), 
                 aes(x = X, y = Y, color = Cluster), pch = 21) +
      theme_map()) %>%
      print()
    dev.off()
  }
  
})

Differential expression analysis (silhouette)

Calculate the similarity of samples using the expression and the silhouette scores based on the assigned clusters.

cache <- "output/silhouette.nmf.rds"

if (file.exists(cache)) {
  silhouette.nmf <- read_rds(cache)
} else {
  # manual calculation of silhouette scores with lazily evaluated distance matrix
  subsamp.dists <- distances(tumor.hc.norm[subsamp, ])
  
  plan(multisession, workers = 5)
  
  silhouette.nmf <- nmf.clusters %>% future_imap_dbl(\(c, i){
    dists <- tibble(d = subsamp.dists[i,][-i], cluster = nmf.clusters[-i]) %>% 
      group_by(cluster) %>% 
      summarize(m = mean(d)) 
    
    a <- dists %>% filter(cluster == c) %>% pluck("m", 1)
    b <- dists %>% filter(cluster != c) %>% pull(m) %>% min()
    
    (b - a)/max(a, b)
  }, .options = furrr::furrr_options(packages = "distances"), .progress = TRUE)
  
  write_rds(silhouette.nmf, cache, "gz")
}

tibble(c = nmf.clusters, s = silhouette.nmf) %>% 
  group_by(c) %>% 
  summarize(m = mean(s))
c m
1 0.3791663
2 0.3017454
3 0.1130977
print(paste0("Average silhouette score: ", mean(silhouette.nmf)))
[1] "Average silhouette score: 0.250828061783453"

Select only the samples with positive silhouette scores as “core samples”

core.samples <- which(silhouette.nmf > 0)
tumor.hc.core.samples <- tumor.hc.norm[subsamp, ] %>%
  add_column(Cluster = nmf.clusters) %>%
  slice(core.samples)

Calculate difference in means (mean(cluster) - mean(other)), one-vs-all t-test per marker and correct for FDR. Filter q <= 0.05. Plot the differences.

de.table <- unique(tumor.hc.core.samples$Cluster) %>%
  map_dfr(\(c){
    tumor.hc.core.samples %>%
      summarize(across(-Cluster, ~ t.test(.x ~ (Cluster == c))$p.value)) %>%
      pivot_longer(names_to = "Marker", values_to = "p", everything()) %>%
      mutate(Cluster = c, Difference = tumor.hc.core.samples %>%
        group_by(Cluster == c) %>%
        select(-Cluster) %>%
        group_split(.keep = FALSE) %>% map(colMeans) %>% reduce(`-`))
  }) %>%
  mutate(q = p.adjust(p, method = "fdr"), Difference = -Difference)

de.table %>%
  filter(q <= 0.05) %>%
  arrange(q)
Marker p Cluster Difference q
AGS 0 1 -1.1509970 0
BerEP4 0 1 1.3643187 0
CRP 0 1 -0.8705340 0
p.S6 0 1 -0.6053700 0
AGS 0 3 -0.4408815 0
BerEP4 0 3 -0.7472194 0
CRP 0 3 1.6290324 0
p.S6 0 3 1.4251024 0
AGS 0 2 1.6605926 0
BerEP4 0 2 -0.7006696 0
CRP 0 2 -0.7032498 0
p.S6 0 2 -0.7808243 0
de.table %>%
  pivot_wider(names_from = "Cluster", values_from = "Difference", -c(p, q)) %>%
  column_to_rownames("Marker") %>%
  as.matrix() %>%
  pheatmap(scale = "none")

Version Author Date
f041ce0 Jovan Tanevski 2021-11-12
a915f46 Jovan Tanevski 2021-10-27

sessionInfo()
R version 4.1.1 (2021-08-10)
Platform: x86_64-apple-darwin17.0 (64-bit)
Running under: macOS Big Sur 10.16

Matrix products: default
BLAS:   /Library/Frameworks/R.framework/Versions/4.1/Resources/lib/libRblas.0.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/4.1/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] forcats_0.5.1       stringr_1.4.0       dplyr_1.0.7        
 [4] purrr_0.3.4         readr_2.1.0         tidyr_1.1.4        
 [7] tibble_3.1.6        ggplot2_3.3.5       tidyverse_1.3.1    
[10] RStoolbox_0.2.6     raster_3.5-2        sp_1.4-5           
[13] furrr_0.2.3         future_1.23.0       distances_0.1.8    
[16] RColorBrewer_1.1-2  pheatmap_1.0.12     cowplot_1.1.1      
[19] NMF_0.23.0          synchronicity_1.3.5 bigmemory_4.5.36   
[22] Biobase_2.54.0      BiocGenerics_0.40.0 cluster_2.1.2      
[25] rngtools_1.5.2      pkgmaker_0.32.2     registry_0.5-1     
[28] limma_3.50.0        uwot_0.1.10         Matrix_1.3-4       
[31] skimr_2.1.3         workflowr_1.6.2    

loaded via a namespace (and not attached):
  [1] readxl_1.3.1         uuid_1.0-3           backports_1.3.0     
  [4] Hmisc_4.6-0          plyr_1.8.6           repr_1.1.3          
  [7] splines_4.1.1        listenv_0.8.0        gridBase_0.4-7      
 [10] digest_0.6.28        foreach_1.5.1        htmltools_0.5.2     
 [13] fansi_0.5.0          checkmate_2.0.0      magrittr_2.0.1      
 [16] doParallel_1.0.16    tzdb_0.2.0           recipes_0.1.17      
 [19] globals_0.14.0       modelr_0.1.8         gower_0.2.2         
 [22] vroom_1.5.6          jpeg_0.1-9           colorspace_2.0-2    
 [25] rvest_1.0.2          haven_2.4.3          xfun_0.28           
 [28] rgdal_1.5-27         crayon_1.4.2         jsonlite_1.7.2      
 [31] bigmemory.sri_0.1.3  survival_3.2-13      iterators_1.0.13    
 [34] glue_1.5.0           gtable_0.3.0         ipred_0.9-12        
 [37] future.apply_1.8.1   scales_1.1.1         DBI_1.1.1           
 [40] Rcpp_1.0.7           htmlTable_2.3.0      xtable_1.8-4        
 [43] foreign_0.8-81       bit_4.0.4            Formula_1.2-4       
 [46] stats4_4.1.1         lava_1.6.10          prodlim_2019.11.13  
 [49] htmlwidgets_1.5.4    httr_1.4.2           geosphere_1.5-14    
 [52] ellipsis_0.3.2       farver_2.1.0         pkgconfig_2.0.3     
 [55] XML_3.99-0.8         nnet_7.3-16          sass_0.4.0          
 [58] dbplyr_2.1.1         utf8_1.2.2           caret_6.0-90        
 [61] labeling_0.4.2       tidyselect_1.1.1     rlang_0.4.12        
 [64] reshape2_1.4.4       later_1.3.0          munsell_0.5.0       
 [67] cellranger_1.1.0     tools_4.1.1          cli_3.1.0           
 [70] generics_0.1.1       broom_0.7.10         evaluate_0.14       
 [73] fastmap_1.1.0        yaml_2.2.1           bit64_4.0.5         
 [76] ModelMetrics_1.2.2.2 knitr_1.36           fs_1.5.0            
 [79] nlme_3.1-153         whisker_0.4          xml2_1.3.2          
 [82] compiler_4.1.1       rstudioapi_0.13      png_0.1-7           
 [85] reprex_2.0.1         bslib_0.3.1          stringi_1.7.5       
 [88] highr_0.9            rgeos_0.5-8          lattice_0.20-45     
 [91] vctrs_0.3.8          pillar_1.6.4         lifecycle_1.0.1     
 [94] jquerylib_0.1.4      data.table_1.14.2    httpuv_1.6.3        
 [97] latticeExtra_0.6-29  R6_2.5.1             promises_1.2.0.1    
[100] gridExtra_2.3        parallelly_1.28.1    codetools_0.2-18    
[103] MASS_7.3-54          assertthat_0.2.1     rprojroot_2.0.2     
[106] withr_2.4.2          parallel_4.1.1       hms_1.1.1           
[109] terra_1.4-11         grid_4.1.1           rpart_4.1-15        
[112] timeDate_3043.102    class_7.3-19         rmarkdown_2.11      
[115] git2r_0.28.0         pROC_1.18.0          lubridate_1.8.0     
[118] base64enc_0.1-3