TMRC3 202409: Exploring WGCNA

atb

2024-09-19

1 Working to get an initial understanding of WGCNA

The analyses in this document are primarily taken from a notebook provided by Alejandro in which he sought to leverage WGCNA (Langfelder and Horvath (2008)) to see if/how well it corresponds to results provided by STRING (Szklarczyk et al. (2011)) and/or our DE analyses. Since it seemed likely that at least some of the figures/analyses he produced might end up in the paper, I emailed him for a copy of his notebook and plopped his work here (with minor modifications for style and readability).

I am using Alejandro’s document to get a feeling for how WGCNA is getting modules relevant to cure/fail. I have been relatively skeptical of WGCNA; I watched Keith, who is freaky brilliant, struggle with it and get very frustrated how even miniscule changes to the input data would result in profound changes in the resulting modules. Nonetheless, this seemed like a good opportunity for me to get acquainted with it.

I am reasonably certain he is in turn using this document as his input:

https://bioinformaticsworkbook.org/tutorials/wgcna.html#gsc.tab=0

2 Setting up

threads <- WGCNA::enableWGCNAThreads(nThreads = 8)
## Allowing parallel execution with up to 8 working processes.

3 Input data

The input used is the cell-type specific, tmaco-only, rpkm, modified by sva.

In the following block I am breaking down what Alejandro did into smaller pieces so that I can make certain I understand what happened.

input <- normalize_expt(t_monocytes, filter = TRUE, batch = "svaseq") %>%
  normalize_expt(convert = "rpkm", column = "mean_cds_len", na_to_zero = TRUE)
## Removing 9090 low-count genes (10862 remaining).
## Setting 295 low elements to zero.
wgcna_input <- as.data.frame(exprs(input))
wgcna_input[["ENSEMBLID"]] <- rownames(wgcna_input)

wgcna_melted <- wgcna_input %>%
  gather(key = "samples", value = "counts", -ENSEMBLID)

wgcna_with_meta <- wgcna_melted %>%
  inner_join(., pData(input), by = c("samples" = "tmrcidentifier"))

wgcna_selected <- wgcna_with_meta %>%
  select("ENSEMBLID", "samples", "counts") %>%
  spread(key = "samples", value = "counts")

Unless I am mistaken, the above just converted the matrix of counts into a merged/melted copy of same with the metadata, then removed the metadata and returned us back to the original state? hmmm…

good_samples_genes <- WGCNA::goodSamplesGenes(t(exprs(input)))
##  Flagging genes and samples with too many missing values...
##   ..step 1
summary(good_samples_genes)
##             Length Class  Mode   
## goodGenes   10862  -none- logical
## goodSamples    42  -none- logical
## allOK           1  -none- logical
good_samples_genes[["allOK"]]
## [1] TRUE
l2input <- normalize_expt(input, transform = "log2")
## transform_counts: Found 295 values equal to 0, adding 1 to the matrix.
power_test <- c(c(1:10), seq(from = 12, to = 20, by = 2))
threshold_search <- WGCNA::pickSoftThreshold(
  t(exprs(l2input)), powerVector = power_test,
  networkType = "signed", verbose = 5)
## pickSoftThreshold: will use block size 4118.
##  pickSoftThreshold: calculating connectivity for given powers...
##    ..working on genes 1 through 4118 of 10862
##    ..working on genes 4119 through 8236 of 10862
##    ..working on genes 8237 through 10862 of 10862
##    Power SFT.R.sq  slope truncated.R.sq mean.k. median.k. max.k.
## 1      1   0.2150  7.550          0.906  5610.0   5630.00   6290
## 2      2   0.1310  2.470          0.912  3170.0   3130.00   4000
## 3      3   0.0158 -0.437          0.844  1910.0   1860.00   2840
## 4      4   0.2360 -1.190          0.834  1210.0   1160.00   2150
## 5      5   0.5280 -1.560          0.892   807.0    748.00   1710
## 6      6   0.6860 -1.680          0.924   556.0    495.00   1400
## 7      7   0.7720 -1.760          0.941   396.0    337.00   1170
## 8      8   0.8120 -1.770          0.945   289.0    233.00    996
## 9      9   0.8410 -1.780          0.949   216.0    164.00    858
## 10    10   0.8670 -1.770          0.961   165.0    118.00    748
## 11    12   0.8660 -1.790          0.948   101.0     62.70    583
## 12    14   0.8610 -1.800          0.942    65.5     35.00    467
## 13    16   0.8770 -1.770          0.951    44.3     20.40    381
## 14    18   0.8860 -1.750          0.959    31.0     12.30    316
## 15    20   0.8750 -1.750          0.952    22.4      7.61    265
a1 <- ggplot(threshold_search[["fitIndices"]], aes(Power, SFT.R.sq, label = Power)) +
  geom_point() +
  geom_text(nudge_y = 0.1) +
  geom_hline(yintercept = 0.8, color = 'red') +
  labs(x = 'Power', y = 'Scale free topology model fit, signed R^2')
a1

a2 <- ggplot(threshold_search[["fitIndices"]], aes(Power, mean.k., label = Power)) +
  geom_point() +
  geom_text(nudge_y = 0.1) +
  labs(x = 'Power', y = 'Mean Connectivity')
a2

4 Create Modules

chosen_power <- 8
## WGCNA calls cor() without specifying its own namespace, so overwrite cor for the moment.
cor <- WGCNA::cor
initial_modules <- WGCNA::blockwiseModules(
  t(exprs(l2input)), maxBlockSize = 11000, TOMType = "signed",
  power = chosen_power, mergeCutHeight = 0.25, numericLabels = FALSE,
  verbose = 3)
##  Calculating module eigengenes block-wise from all genes
##    Flagging genes and samples with too many missing values...
##     ..step 1
##  ..Working on block 1 .
##     TOM calculation: adjacency..
##     ..will use 8 parallel threads.
##      Fraction of slow calculations: 0.000000
##     ..connectivity..
##     ..matrix multiplication (system BLAS)..
##     ..normalization..
##     ..done.
##  ....clustering..
##  ....detecting modules..
##  ....calculating module eigengenes..
##  ....checking kME in modules..
##      ..removing 15 genes from module 1 because their KME is too low.
##      ..removing 5 genes from module 2 because their KME is too low.
##      ..removing 9 genes from module 3 because their KME is too low.
##      ..removing 1 genes from module 8 because their KME is too low.
##      ..removing 1 genes from module 32 because their KME is too low.
##   ..reassigning 20 genes from module 1 to modules with higher KME.
##   ..reassigning 7 genes from module 2 to modules with higher KME.
##   ..reassigning 13 genes from module 3 to modules with higher KME.
##   ..reassigning 8 genes from module 4 to modules with higher KME.
##   ..reassigning 7 genes from module 5 to modules with higher KME.
##   ..reassigning 3 genes from module 7 to modules with higher KME.
##   ..reassigning 2 genes from module 8 to modules with higher KME.
##   ..reassigning 2 genes from module 10 to modules with higher KME.
##   ..reassigning 2 genes from module 18 to modules with higher KME.
##   ..reassigning 1 genes from module 20 to modules with higher KME.
##   ..reassigning 1 genes from module 32 to modules with higher KME.
##   ..reassigning 1 genes from module 42 to modules with higher KME.
##  ..merging modules that are too close..
##      mergeCloseModules: Merging modules whose distance is less than 0.25
##        Calculating new MEs...
cor <- stats::cor

initial_eigen <- initial_modules[["MEs"]]

5 View initial modules

network_colors <- WGCNA::labels2colors(initial_modules[["colors"]])
WGCNA::plotDendroAndColors(
  initial_modules[["dendrograms"]][[1]],
  network_colors[initial_modules[["blockGenes"]][[1]]],
  "Modules",
  dendroLabels = FALSE,
  hang = 0.03,
  addGuide = TRUE,
  guideHang = 0.05)

WGCNA::plotDendroAndColors(
  initial_modules[["dendrograms"]][[1]],
  cbind(initial_modules[["unmergedColors"]], initial_modules[["colors"]]),
  c("unmerged", "merged"),
  dendroLabels = FALSE,
  addGuide = TRUE,
  hang = 0.03,
  guideHang = 0.05)

WGCNA::plotDendroAndColors(
  initial_modules[["dendrograms"]][[1]],
  initial_modules[["colors"]],
  "ME",
  dendroLabels = FALSE,
  addGuide = TRUE,
  hang= 0.03,
  cex.colorLabels = 2,
  marAll = c(1, 5, 3, 1),
  main = ("WGCNA Cluster Dendrogram"),
  guideHang = 0.05)

6 Consensus reordering

This does not appear to work, FIXME

initial_reorder <- WGCNA::consensusOrderMEs(
  initial_eigen, useAbs = FALSE,
  useSets = NULL, greyLast = TRUE,
  greyName = paste(WGCNA::moduleColor.getMEprefix(), "grey", sep = ""),
  method = "consensus")

7 Cross reference against metadata

meta_numeric <- data.frame(
  "cf_numeric" = as.numeric(as.factor(pData(l2input)[["finaloutcome"]])),
  "visit_numeric" = as.numeric(as.factor(pData(l2input)[["visitnumber"]])))
rownames(meta_numeric) <- rownames(pData(l2input))

meta_factors <- pData(l2input)[, c("finaloutcome", "visitnumber")]
meta_eigen <- merge(initial_eigen, meta_factors, by = "row.names")
rownames(meta_eigen) <- meta_eigen[["Row.names"]]
meta_eigen[["Row.names"]] <- NULL
kappa <- irr::kappam.fleiss(meta_eigen)

module_trait_corr <- stats::cor(initial_eigen, meta_numeric, use = "p")
module_trait_corr
##                cf_numeric visit_numeric
## MEmagenta       -0.250603       0.06262
## MEpink          -0.009289      -0.02001
## MEblue          -0.225538       0.17650
## MEsalmon        -0.224603       0.22226
## MEbrown          0.225532       0.26091
## MEgreenyellow   -0.010594       0.12363
## MEyellow         0.204959      -0.03818
## MEcyan          -0.174736      -0.04785
## MEgreen         -0.360079       0.26368
## MEgrey60        -0.161160       0.16775
## MElightgreen     0.341113      -0.02765
## MEblack          0.510394      -0.02238
## MEred            0.188770      -0.03790
## MEmidnightblue   0.343209      -0.09313
## MEturquoise      0.444315       0.01825
## MEpurple        -0.171154      -0.09374
## MElightcyan     -0.173734      -0.12381
## MEtan           -0.016408      -0.23809
## MEgrey           0.104307       0.12547
module_trait_pvalues <- WGCNA::corPvalueStudent(module_trait_corr, nrow(meta_numeric))
module_trait_pvalues
##                cf_numeric visit_numeric
## MEmagenta       0.1094349       0.69361
## MEpink          0.9534445       0.89992
## MEblue          0.1509670       0.26350
## MEsalmon        0.1527144       0.15716
## MEbrown         0.1509787       0.09513
## MEgreenyellow   0.9469086       0.43536
## MEyellow        0.1928918       0.81030
## MEcyan          0.2683877       0.76348
## MEgreen         0.0191638       0.09155
## MEgrey60        0.3079190       0.28830
## MElightgreen    0.0270546       0.86202
## MEblack         0.0005538       0.88814
## MEred           0.2312092       0.81166
## MEmidnightblue  0.0260680       0.55745
## MEturquoise     0.0032005       0.90868
## MEpurple        0.2784738       0.55488
## MElightcyan     0.2711828       0.43469
## MEtan           0.9178559       0.12893
## MEgrey          0.5109354       0.42852

8 Plot the ‘correlations’

On my computer at least, there seems to be difficulty installing the CorLvelPlot library, so I will just remove this piece of Alejandro’s code for now.

module_trait_merged <- merge(initial_eigen, meta_numeric, by = "row.names")
rownames(module_trait_merged) <- module_trait_merged[["Row.names"]]
module_trait_merged[["Row.names"]] <- NULL

#CorLevelPlot::CorLevelPlot(
#  module_trait_merged,
#  x = names(module_trait_merged)[1:18],
#  rotLabX = 90,
#  y = names(module_trait_merged)[19:20],
#  posColKey = "top",
#  col = c("blue1", "skyblue", "white", "pink", "red"))

9 Extract genes from ‘significant’ modules

It appears that the modules ‘turqoise’ and ‘pink’ are likely the most interesting. We can extract the genes from them:

wanted <- initial_modules[["colors"]] == "turqoise" | initial_modules[["colors"]] == "pink"
sum(wanted)
## [1] 125
interesting_genes <- names(initial_modules[["colors"]])[wanted]

fData(l2input)[interesting_genes, "hgnc_symbol"]
##   [1] "PITHD1"     "PFN2"       "MOK"        "PCNP"       "MECOM"     
##   [6] "MGST2"      "PCDH11X"    "NOMO1"      "TJP1"       "RP1"       
##  [11] "SIGLEC5"    "PLEKHA4"    "STEAP1B"    "EIF4H"      "ASIC2"     
##  [16] "CPE"        "AMBRA1"     "SLC35F2"    "MLEC"       "PTP4A1"    
##  [21] "GRB14"      "MARK1"      "COLEC11"    "TAF1L"      "BCAS4"     
##  [26] "OVOL2"      "GNGT1"      "ZNF341"     "NDUFA2"     "KHDRBS3"   
##  [31] "SLX1A"      "PCBD2"      "CCNJL"      "HNRNPA1"    "GABBR2"    
##  [36] "SEMA6D"     "GAREM1"     "RNF157"     "PIGK"       "RABL2A"    
##  [41] "PTPRG"      "EPHA5"      "CDH18"      "HTR2C"      "GPC3"      
##  [46] "ASTN2"      "DLG2"       "AKAP6"      "PABPC3"     "PTPN14"    
##  [51] "ACOXL"      "CEP112"     "KDM8"       "FMN2"       "RWDD2B"    
##  [56] "AGAP1"      "STARD9"     "NAPEPLD"    "ZYG11B"     "HFM1"      
##  [61] "H3-3A"      "ANKRD30BL"  "PCOLCE2"    "C4orf45"    "MAMDC2"    
##  [66] "PDZRN4"     "JAM3"       "PLEKHA7"    "NPIPB12"    "ADRA1B"    
##  [71] "LGALS9B"    "LONRF2"     "FRMD5"      "C5orf34"    "NEGR1"     
##  [76] "LSM1"       "ZNF683"     "ZNF354C"    "GRAMD1C"    "WASHC1"    
##  [81] "RGS7"       "CCSER1"     "ROBO2"      "EFCAB10"    "RGPD2"     
##  [86] "LSAMP"      "C15orf41"   "EDARADD"    "PTMA"       "C2orf88"   
##  [91] "H3-5"       "HMGB1"      "GRM7"       "CPNE4"      "SLC35F1"   
##  [96] "SCN8A"      "RPS26"      "TXNRD1"     "RYR2"       "TAFA2"     
## [101] "HMGN2"      "H2AC18"     "AGAP6"      "C9orf129"   "PKHD1L1"   
## [106] "TMSB4X"     "EIF3CL"     "C16orf96"   "NEURL1B"    "ZC3H11B"   
## [111] "HNRNPA1P48" "RPL41"      ""           "RAB6D"      "LILRA4"    
## [116] "TMEM150C"   "NACA2"      "MTRNR2L8"   ""           "FAM156A"   
## [121] ""           "NBPF26"     "F8A3"       ""           ""
written_interesting <- write_xlsx(fData(l2input)[interesting_genes, ],
                                  excel = glue("excel/wgcna_interesting_genes-v{ver}.xlsx"))

## Note that we can do similarity matrices on the samples too in order to get
## dendrograms which may get interesting groups of samples?
not_grey <- initial_modules[["colors"]] != "grey"
not_grey_exprs <- t(exprs(l2input))[, not_grey]
dim(not_grey_exprs)
## [1]   42 8148
not_grey_genes <- colnames(not_grey_exprs)
dist_tom <- 1 - WGCNA::TOMsimilarityFromExpr(
  not_grey_exprs,
  power = chosen_power)
## TOM calculation: adjacency..
## ..will use 8 parallel threads.
##  Fraction of slow calculations: 0.000000
## ..connectivity..
## ..matrix multiplication (system BLAS)..
## ..normalization..
## ..done.
colnames(dist_tom) <- not_grey_genes
rownames(dist_tom) <- colnames(dist_tom)

similarity_cluster <- flashClust::flashClust(as.dist(dist_tom), method = "average")

WGCNA::plotDendroAndColors(
  similarity_cluster,
  colors = initial_modules[["colors"]][not_grey_genes],
  "ME",
  dendroLabels = FALSE,
  hang = 0.03,
  addGuide = TRUE,
  guideHang = 0.05,
  cex.colorLabels = 1.5,
  main = ("Cluster Dendrogram (WGCNA)"))

## In my initial pass, I did the clustering on the samples instead of genes and got
## two primary groups:
## 26,6,7,12,4,27,3,13,9,30,17,22,18,42,15,31,8,25,5,16,14,20,10,38
## 1,2,23,11,40,34,33,35,37,24,41,19,29,28,36,21,32,39
## I assume that these two groups will have some meaning vis a vis the monocyte samples?
first_group <- c(26,6,7,12,4,27,3,13,9,30,17,22,18,42,15,31,8,25,5,16,14,20,10,38)
second_group <- c(1,2,23,11,40,34,33,35,37,24,41,19,29,28,36,21,32,39)
unique(pData(l2input)[first_group, "tubelabelorigin"])
##  [1] "su2168" "su2066" "su2071" "su2065" "su2172" "su2068" "su2173" "su2161"
##  [9] "su2167" "su2162" "su2201" "su2073" "su2188"
unique(pData(l2input)[second_group, "tubelabelorigin"])
##  [1] "su2052" "su2167" "su2068" "su2190" "su2183" "su2184" "su2168" "su2162"
##  [9] "su2172" "su2173"
## So, they are two distinct groups of donors...
table(pData(l2input)[first_group, "finaloutcome"])
## 
##    cure failure 
##      14      10
table(pData(l2input)[second_group, "finaloutcome"])
## 
##    cure failure 
##       7      11
table(pData(l2input)[first_group, "visitnumber"])
## 
##  3  2  1 
##  5  8 11
table(pData(l2input)[second_group, "visitnumber"])
## 
## 3 2 1 
## 8 5 5

Bibliography

Langfelder, Peter, and Steve Horvath. 2008. WGCNA: An R Package for Weighted Correlation Network Analysis.” BMC Bioinformatics 9 (1): 559. https://doi.org/10.1186/1471-2105-9-559.
Szklarczyk, Damian, Andrea Franceschini, Michael Kuhn, Milan Simonovic, Alexander Roth, Pablo Minguez, Tobias Doerks, et al. 2011. “The STRING Database in 2011: Functional Interaction Networks of Proteins, Globally Integrated and Scored.” Nucleic Acids Research 39 (suppl_1): D561–68. https://doi.org/10.1093/nar/gkq973.
---
title: "TMRC3 `r Sys.getenv('VERSION')`: Exploring WGCNA"
author: "atb abelew@gmail.com"
date: "`r Sys.Date()`"
runtime: shiny
bibliography: atb.bib
output:
  html_document:
    code_download: true
    code_folding: show
    fig_caption: true
    fig_height: 7
    fig_width: 7
    highlight: zenburn
    keep_md: false
    mode: selfcontained
    number_sections: true
    self_contained: true
    theme: readable
    toc: true
    toc_float:
      collapsed: false
      smooth_scroll: false
---

<style type="text/css">
body .main-container {
  max-width: 1600px;
}
body, td {
  font-size: 16px;
}
code.r{
  font-size: 16px;
}
pre {
  font-size: 16px
}
</style>

```{r options, include=FALSE}
library(hpgltools)
library(dplyr)
library(forcats)
library(glue)
library(tidyverse)

knitr::opts_knit$set(progress = TRUE, verbose = TRUE, width = 90, echo = TRUE)
knitr::opts_chunk$set(
  error = TRUE, fig.width = 8, fig.height = 8, fig.retina = 2,
  out.width = "100%", dev = "png",
  dev.args = list(png = list(type = "cairo-png")))
old_options <- options(digits = 4, stringsAsFactors = FALSE, knitr.duplicate.label = "allow")
ggplot2::theme_set(ggplot2::theme_bw(base_size = 12))
ver <- Sys.getenv("VERSION")
rundate <- format(Sys.Date(), format = "%Y%m%d")

rmd_file <- "05wgcna.Rmd"
savefile <- gsub(pattern = "\\.Rmd", replace = "\\.rda\\.xz", x = rmd_file)
loaded <- load(file = glue("rda/tmrc3_data_structures-v{ver}.rda"))
```

# Working to get an initial understanding of WGCNA

The analyses in this document are primarily taken from a notebook
provided by Alejandro in which he sought to leverage WGCNA
(@langfelderWGCNAPackageWeighted2008) to see if/how well it
corresponds to results provided by STRING
(@szklarczykSTRINGDatabase20112011)  and/or our DE analyses. Since it
seemed likely that at least some of the figures/analyses he produced
might end up in the paper, I emailed him for a copy of his notebook
and plopped his work here (with minor modifications for style
and readability).

I am using Alejandro's document to get a feeling for how WGCNA is
getting modules relevant to cure/fail.  I have been relatively
skeptical of WGCNA; I watched Keith, who is freaky brilliant, struggle
with it and get very frustrated how even miniscule changes to the
input data would result in profound changes in the resulting modules.
Nonetheless, this seemed like a good opportunity for me to get
acquainted with it.

I am reasonably certain he is in turn using this document as his
input:

https://bioinformaticsworkbook.org/tutorials/wgcna.html#gsc.tab=0

# Setting up

```{r}
threads <- WGCNA::enableWGCNAThreads(nThreads = 8)
```

# Input data

The input used is the cell-type specific, tmaco-only, rpkm, modified
by sva.

In the following block I am breaking down what Alejandro did into
smaller pieces so that I can make certain I understand what happened.

```{r}
input <- normalize_expt(t_monocytes, filter = TRUE, batch = "svaseq") %>%
  normalize_expt(convert = "rpkm", column = "mean_cds_len", na_to_zero = TRUE)

wgcna_input <- as.data.frame(exprs(input))
wgcna_input[["ENSEMBLID"]] <- rownames(wgcna_input)

wgcna_melted <- wgcna_input %>%
  gather(key = "samples", value = "counts", -ENSEMBLID)

wgcna_with_meta <- wgcna_melted %>%
  inner_join(., pData(input), by = c("samples" = "tmrcidentifier"))

wgcna_selected <- wgcna_with_meta %>%
  select("ENSEMBLID", "samples", "counts") %>%
  spread(key = "samples", value = "counts")
```

Unless I am mistaken, the above just converted the matrix of counts
into a merged/melted copy of same with the metadata, then removed the
metadata and returned us back to the original state? hmmm...


```{r}
good_samples_genes <- WGCNA::goodSamplesGenes(t(exprs(input)))
summary(good_samples_genes)
good_samples_genes[["allOK"]]

l2input <- normalize_expt(input, transform = "log2")

power_test <- c(c(1:10), seq(from = 12, to = 20, by = 2))
threshold_search <- WGCNA::pickSoftThreshold(
  t(exprs(l2input)), powerVector = power_test,
  networkType = "signed", verbose = 5)

a1 <- ggplot(threshold_search[["fitIndices"]], aes(Power, SFT.R.sq, label = Power)) +
  geom_point() +
  geom_text(nudge_y = 0.1) +
  geom_hline(yintercept = 0.8, color = 'red') +
  labs(x = 'Power', y = 'Scale free topology model fit, signed R^2')
a1

a2 <- ggplot(threshold_search[["fitIndices"]], aes(Power, mean.k., label = Power)) +
  geom_point() +
  geom_text(nudge_y = 0.1) +
  labs(x = 'Power', y = 'Mean Connectivity')
a2
```

# Create Modules

```{r}
chosen_power <- 8
## WGCNA calls cor() without specifying its own namespace, so overwrite cor for the moment.
cor <- WGCNA::cor
initial_modules <- WGCNA::blockwiseModules(
  t(exprs(l2input)), maxBlockSize = 11000, TOMType = "signed",
  power = chosen_power, mergeCutHeight = 0.25, numericLabels = FALSE,
  verbose = 3)
cor <- stats::cor

initial_eigen <- initial_modules[["MEs"]]
```

# View initial modules

```{r}
network_colors <- WGCNA::labels2colors(initial_modules[["colors"]])
WGCNA::plotDendroAndColors(
  initial_modules[["dendrograms"]][[1]],
  network_colors[initial_modules[["blockGenes"]][[1]]],
  "Modules",
  dendroLabels = FALSE,
  hang = 0.03,
  addGuide = TRUE,
  guideHang = 0.05)

WGCNA::plotDendroAndColors(
  initial_modules[["dendrograms"]][[1]],
  cbind(initial_modules[["unmergedColors"]], initial_modules[["colors"]]),
  c("unmerged", "merged"),
  dendroLabels = FALSE,
  addGuide = TRUE,
  hang = 0.03,
  guideHang = 0.05)

WGCNA::plotDendroAndColors(
  initial_modules[["dendrograms"]][[1]],
  initial_modules[["colors"]],
  "ME",
  dendroLabels = FALSE,
  addGuide = TRUE,
  hang= 0.03,
  cex.colorLabels = 2,
  marAll = c(1, 5, 3, 1),
  main = ("WGCNA Cluster Dendrogram"),
  guideHang = 0.05)
```

# Consensus reordering

This does not appear to work, FIXME

```{r, eval=FALSE}
initial_reorder <- WGCNA::consensusOrderMEs(
  initial_eigen, useAbs = FALSE,
  useSets = NULL, greyLast = TRUE,
  greyName = paste(WGCNA::moduleColor.getMEprefix(), "grey", sep = ""),
  method = "consensus")
```

# Cross reference against metadata

```{r}
meta_numeric <- data.frame(
  "cf_numeric" = as.numeric(as.factor(pData(l2input)[["finaloutcome"]])),
  "visit_numeric" = as.numeric(as.factor(pData(l2input)[["visitnumber"]])))
rownames(meta_numeric) <- rownames(pData(l2input))

meta_factors <- pData(l2input)[, c("finaloutcome", "visitnumber")]
meta_eigen <- merge(initial_eigen, meta_factors, by = "row.names")
rownames(meta_eigen) <- meta_eigen[["Row.names"]]
meta_eigen[["Row.names"]] <- NULL
kappa <- irr::kappam.fleiss(meta_eigen)

module_trait_corr <- stats::cor(initial_eigen, meta_numeric, use = "p")
module_trait_corr
module_trait_pvalues <- WGCNA::corPvalueStudent(module_trait_corr, nrow(meta_numeric))
module_trait_pvalues
```

# Plot the 'correlations'

On my computer at least, there seems to be difficulty installing the
CorLvelPlot library, so I will just remove this piece of Alejandro's
code for now.

```{r}
module_trait_merged <- merge(initial_eigen, meta_numeric, by = "row.names")
rownames(module_trait_merged) <- module_trait_merged[["Row.names"]]
module_trait_merged[["Row.names"]] <- NULL

#CorLevelPlot::CorLevelPlot(
#  module_trait_merged,
#  x = names(module_trait_merged)[1:18],
#  rotLabX = 90,
#  y = names(module_trait_merged)[19:20],
#  posColKey = "top",
#  col = c("blue1", "skyblue", "white", "pink", "red"))
```

# Extract genes from 'significant' modules

It appears that the modules 'turqoise' and 'pink' are likely the most
interesting.  We can extract the genes from them:

```{r}
wanted <- initial_modules[["colors"]] == "turqoise" | initial_modules[["colors"]] == "pink"
sum(wanted)
interesting_genes <- names(initial_modules[["colors"]])[wanted]

fData(l2input)[interesting_genes, "hgnc_symbol"]
written_interesting <- write_xlsx(fData(l2input)[interesting_genes, ],
                                  excel = glue("excel/wgcna_interesting_genes-v{ver}.xlsx"))

## Note that we can do similarity matrices on the samples too in order to get
## dendrograms which may get interesting groups of samples?
not_grey <- initial_modules[["colors"]] != "grey"
not_grey_exprs <- t(exprs(l2input))[, not_grey]
dim(not_grey_exprs)
not_grey_genes <- colnames(not_grey_exprs)
dist_tom <- 1 - WGCNA::TOMsimilarityFromExpr(
  not_grey_exprs,
  power = chosen_power)
colnames(dist_tom) <- not_grey_genes
rownames(dist_tom) <- colnames(dist_tom)

similarity_cluster <- flashClust::flashClust(as.dist(dist_tom), method = "average")

WGCNA::plotDendroAndColors(
  similarity_cluster,
  colors = initial_modules[["colors"]][not_grey_genes],
  "ME",
  dendroLabels = FALSE,
  hang = 0.03,
  addGuide = TRUE,
  guideHang = 0.05,
  cex.colorLabels = 1.5,
  main = ("Cluster Dendrogram (WGCNA)"))

## In my initial pass, I did the clustering on the samples instead of genes and got
## two primary groups:
## 26,6,7,12,4,27,3,13,9,30,17,22,18,42,15,31,8,25,5,16,14,20,10,38
## 1,2,23,11,40,34,33,35,37,24,41,19,29,28,36,21,32,39
## I assume that these two groups will have some meaning vis a vis the monocyte samples?
first_group <- c(26,6,7,12,4,27,3,13,9,30,17,22,18,42,15,31,8,25,5,16,14,20,10,38)
second_group <- c(1,2,23,11,40,34,33,35,37,24,41,19,29,28,36,21,32,39)
unique(pData(l2input)[first_group, "tubelabelorigin"])
unique(pData(l2input)[second_group, "tubelabelorigin"])
## So, they are two distinct groups of donors...
table(pData(l2input)[first_group, "finaloutcome"])
table(pData(l2input)[second_group, "finaloutcome"])

table(pData(l2input)[first_group, "visitnumber"])
table(pData(l2input)[second_group, "visitnumber"])
```

# Bibliography
