Last updated: 2023-06-14
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Here we will use the filtered protein list to impute missing proteins using iterated random forests via the missForest package as described by Jin et al 2021 .
First, we load the filtered data table produced in Filter proteomics data.
prot <- fread("./output/proteomics.filtered_proteins.tsv")
genes_prot <- prot %>%
select(Protein_Ids,Genes)
prot_form <- prot %>%
select(-c(Protein_Group,Protein_Ids,Protein_Names,Genes))
rownames(prot_form) <- prot$Protein_Ids
No we will use the MissForest package to impute missing value in our protein matrix. We use the doParallel package to parallelize the imputation to speed up the process.
## Logged before imputation
prot_form_log <- log2(prot_form)
doParallel::registerDoParallel(cores = 6) # set based on number of CPU cores
doRNG::registerDoRNG(seed = 123)
prot_form_RF_log <- missForest(prot_form_log, verbose = TRUE,
parallelize = 'forests')
parallelizing computation of the random forest model objects
missForest iteration 1 in progress...
randomForest 4.7-1.1
Type rfNews() to see new features/changes/bug fixes.
Attaching package: 'randomForest'
The following object is masked from 'package:dplyr':
combine
The following object is masked from 'package:ggplot2':
margin
Loading required package: foreach
Attaching package: 'foreach'
The following objects are masked from 'package:purrr':
accumulate, when
Loading required package: rngtools
done!
estimated error(s): 0.1855189
difference(s): 0.001685077
time: 4.708 seconds
missForest iteration 2 in progress...done!
estimated error(s): 0.178667
difference(s): 1.011403e-05
time: 4.523 seconds
missForest iteration 3 in progress...done!
estimated error(s): 0.1784553
difference(s): 3.487779e-06
time: 4.24 seconds
missForest iteration 4 in progress...done!
estimated error(s): 0.1789522
difference(s): 2.479728e-06
time: 4.2 seconds
missForest iteration 5 in progress...done!
estimated error(s): 0.1781391
difference(s): 2.320837e-06
time: 4.136 seconds
missForest iteration 6 in progress...done!
estimated error(s): 0.17881
difference(s): 2.068678e-06
time: 4.402 seconds
missForest iteration 7 in progress...done!
estimated error(s): 0.1786566
difference(s): 2.141137e-06
time: 4.998 seconds
## Perform imputation using MissForest
prot_imp_log <- prot_form_RF_log$ximp
prot_imp_log$Protein_Ids <- rownames(prot_imp_log)
prot_imp_log <- left_join(prot_imp_log,genes_prot, by = "Protein_Ids")
## Add number of imputed values to table
imputed_val_rows <- rowSums(is.na(prot))
imputed_val_df <- data.frame("Genes" = prot$Genes,
"Protein_Ids" = prot$Protein_Ids,
"imputed_values" = imputed_val_rows)
prot_imp_log <- left_join(prot_imp_log,imputed_val_df, by =c("Genes","Protein_Ids"))
## Transform data to long format
prot_imp_log_long <- prot_imp_log %>%
pivot_longer(control_r1:MI_remote_r4,
names_to = "sample",
values_to = "exp") %>%
mutate("group" = if_else(grepl("control",sample),"control",
if_else(grepl("MI_IZ",sample),"MI_IZ","MI_remote")))
## For each protein, add whether the value is imputed or observed
prot_long <- prot %>%
pivot_longer(control_r1:MI_remote_r4,
names_to = "sample",
values_to = "exp") %>%
mutate("imputed" = if_else(is.na(exp),"yes","no")) %>%
select(Protein_Ids,Genes,sample,imputed)
prot_imp_log_long <- left_join(prot_imp_log_long,prot_long,by=c("Protein_Ids","Genes","sample"))
## Set order of groups
prot_imp_log_long$group <- factor(prot_imp_log_long$group,
levels = c("control","MI_remote","MI_IZ"))
Let’s visualize the overall distribution of protein expression values after imputation per sample.
## Plot distribution of all values
ggplot(prot_imp_log_long,aes(exp,sample,fill = group)) +
geom_density_ridges2() +
scale_fill_npg()
Picking joint bandwidth of 0.284
As we can see, protein expression distributions are very similar across samples and conditions.
Let’s plot a sample correlation heatma, to see how samples correlate. We expect controls to correlate strongly with each other and more with remote endocardium then with MI endocardium.
## Plot a correlation matrix of samples
prot_imp_log_matrix <- prot_imp_log %>%
select(-c(Protein_Ids,Genes,imputed_values))
pheatmap(cor(prot_imp_log_matrix),
border_color = "black",
color = hcl.colors(50, "Inferno"),
display_numbers = TRUE,
cluster_cols = TRUE,
cluster_rows = TRUE)
Let’s save the imputed protein table for downstream analysis.
write.table(prot_imp_log,
file = "./output/proteomics.filt_imputed_proteins.tsv",
sep = "\t",
col.names = TRUE,
row.names = FALSE,
quote = FALSE)
We want to also compare our iterative random forest imputation (RF) with an imputation from the Perseus package that uses random draws from a normal distribution (ND imputation).
First, let’s load the Perseus imputed values:
## Compare to Perseus ND imputation
perseus <- fread("./data/20230614_perseus_imputed.txt")
perseus_merge <- left_join(prot_imp_log,perseus,by=c("Protein_Ids","Genes"), suffix = c("_RF","_perseus"))
We will then reformat the data to be merged with our iterative random forest imputation to be able to compare them.
perseus_merge_data <- perseus_merge %>%
select(-c(Protein_Ids,Protein_Group,Protein_Names,Genes))
perseus_merge_data$Genes <- perseus_merge$Genes
perseus_merge_data$Protein_Ids <- perseus_merge$Protein_Ids
perseus_merge_data <- perseus_merge_data %>%
pivot_longer(control_r1_RF:MI_remote_r4_perseus,
names_to = "sample",
values_to = "exp")
perseus_merge_data_mi <- perseus_merge_data %>%
subset(grepl("MI_",sample)) %>%
separate(sample,into = c("group","region","replicate","method"), sep = "_") %>%
mutate("sample" = paste(group,region,replicate,sep="_")) %>%
select(sample,method,exp,Genes,Protein_Ids)
perseus_merge_data_control <-perseus_merge_data %>%
subset(grepl("control",sample)) %>%
separate(sample,into = c("group","replicate","method"), sep = "_") %>%
mutate("sample" = paste(group,replicate,sep="_")) %>%
select(sample,method,exp,Genes,Protein_Ids)
perseus_merge_data_long <- rbind(perseus_merge_data_control,perseus_merge_data_mi)
perseus_merge_data_long <- left_join(perseus_merge_data_long,prot_long,by=c("Protein_Ids","Genes","sample"))
perseus_merge_data_wide <- perseus_merge_data_long %>%
pivot_wider(names_from = "method", values_from = "exp") %>%
mutate("diff" = RF - perseus)
We can then calculate the differences in imputed values between RF and ND imputation.
avg_imp_diff <- perseus_merge_data_wide %>%
group_by(Genes,Protein_Ids) %>%
subset(imputed == "yes") %>%
summarise("count" = n(),
"mean" = mean(diff),
"sd" = sd(diff)) %>%
arrange(desc(mean))
`summarise()` has grouped output by 'Genes'. You can override using the
`.groups` argument.
missing_rate_rows <- rowSums(is.na(prot))
missing_rate_df <- data.frame("Genes" = prot$Genes,
"Protein_Ids" = prot$Protein_Ids,
"missing_rate" = missing_rate_rows)
avg_imp_diff <- left_join(avg_imp_diff,missing_rate_df, by =c("Genes","Protein_Ids"))
avg_imp_diff$missing_rate <- avg_imp_diff$missing_rate
Let’s first visualize the correlation between non-imputed and imputed values from RF and ND.
## Plot correlation between imputed values for all samples
ggplot(perseus_merge_data_wide,aes(RF,perseus,color = imputed)) +
geom_point() +
facet_wrap(~sample) +
labs(x = "Imputed values Random Forest",
y = "Imputed values Perseus (ND)")
As we can see, non-imputed values perfectly correlate, as these are not changed by imputation. For imputed values, ND seems to impute lower values on average then RF. This is also represented by the next plot, looking at the distribution of differences across both methods.
## Plot distribution of differences between imputation methods
ggplot(perseus_merge_data_wide,aes(diff)) +
geom_histogram() +
facet_wrap(~sample) +
labs(x = "RF - ND imputed values")
`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
Finally, let’s plot the correlation between the average imputed values and the average observed values per protein for both methods. A method that imputes values close to the actual observed values should show some linear correlation, while a random method should show no correlation.
## Plot avg imputed expression values against the avg of the non-imputed per gene
perseus_merge_data_wide_imp_sum <- perseus_merge_data_wide %>%
group_by(Genes,Protein_Ids,imputed) %>%
summarise("avg_RF" = mean(RF),
"avg_perseus" = mean(perseus))
`summarise()` has grouped output by 'Genes', 'Protein_Ids'. You can override
using the `.groups` argument.
## RF
comp_imp_wide_RF <- perseus_merge_data_wide_imp_sum %>%
select(-avg_perseus) %>%
pivot_wider(names_from = "imputed",
values_from = "avg_RF",
names_prefix = "RF_imp_")
rf_corr <- ggplot(comp_imp_wide_RF,aes(RF_imp_yes,RF_imp_no)) +
geom_point() +
geom_smooth() +
labs(x = "Imputed value average",
y = "Observed value average",
title = "Iterative random forest imputation")
## ND
comp_imp_wide_RF <- perseus_merge_data_wide_imp_sum %>%
select(-avg_RF) %>%
pivot_wider(names_from = "imputed",
values_from = "avg_perseus",
names_prefix = "perseus_imp_")
nd_corr <- ggplot(comp_imp_wide_RF,aes(perseus_imp_yes,perseus_imp_no)) +
geom_point() +
geom_smooth() +
labs(x = "Imputed value average",
y = "Observed value average",
title = "Perseus ND imputation")
## Plot correlation between average imputed values and observed values for both imputation methods
rf_corr + nd_corr
`geom_smooth()` using method = 'gam' and formula = 'y ~ s(x, bs = "cs")'
Warning: Removed 2443 rows containing non-finite values (`stat_smooth()`).
Warning: Removed 2443 rows containing missing values (`geom_point()`).
`geom_smooth()` using method = 'gam' and formula = 'y ~ s(x, bs = "cs")'
Warning: Removed 2443 rows containing non-finite values (`stat_smooth()`).
Removed 2443 rows containing missing values (`geom_point()`).
As the plots show, there is a clear linear correlation between the average imputed value from RF and the average observed values per protein, with RF on average imputing lower average values then the observed values, making it likely more conservative. ND imputation on the other hand shows no correlation with observed values at all, highlighting the random nature of the approach and suggesting that imputation using this method might induce more noise into the data.
sessionInfo()
R version 4.2.3 (2023-03-15)
Platform: aarch64-apple-darwin20 (64-bit)
Running under: macOS Ventura 13.4
Matrix products: default
BLAS: /Library/Frameworks/R.framework/Versions/4.2-arm64/Resources/lib/libRblas.0.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/4.2-arm64/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 datasets utils methods base
other attached packages:
[1] doRNG_1.8.6 rngtools_1.5.2 foreach_1.5.2
[4] randomForest_4.7-1.1 ggsci_3.0.0 cowplot_1.1.1
[7] pheatmap_1.0.12 patchwork_1.1.2 ggridges_0.5.4
[10] here_1.0.1 missForest_1.5 data.table_1.14.8
[13] lubridate_1.9.2 forcats_1.0.0 stringr_1.5.0
[16] dplyr_1.1.2 purrr_1.0.1 readr_2.1.4
[19] tidyr_1.3.0 tibble_3.2.1 ggplot2_3.4.2
[22] tidyverse_2.0.0 workflowr_1.7.0
loaded via a namespace (and not attached):
[1] httr_1.4.6 sass_0.4.6 jsonlite_1.8.4 splines_4.2.3
[5] bslib_0.4.2 getPass_0.2-2 highr_0.10 renv_0.17.3
[9] yaml_2.3.7 lattice_0.20-45 pillar_1.9.0 glue_1.6.2
[13] digest_0.6.31 RColorBrewer_1.1-3 promises_1.2.0.1 colorspace_2.1-0
[17] Matrix_1.5-3 htmltools_0.5.5 httpuv_1.6.11 pkgconfig_2.0.3
[21] scales_1.2.1 itertools_0.1-3 processx_3.8.0 whisker_0.4.1
[25] later_1.3.1 tzdb_0.4.0 timechange_0.2.0 git2r_0.32.0
[29] mgcv_1.8-42 generics_0.1.3 farver_2.1.1 cachem_1.0.8
[33] withr_2.5.0 cli_3.6.1 magrittr_2.0.3 evaluate_0.21
[37] ps_1.7.4 fs_1.6.2 fansi_1.0.4 nlme_3.1-162
[41] doParallel_1.0.17 tools_4.2.3 hms_1.1.3 lifecycle_1.0.3
[45] munsell_0.5.0 callr_3.7.3 compiler_4.2.3 jquerylib_0.1.4
[49] rlang_1.1.1 grid_4.2.3 iterators_1.0.14 rstudioapi_0.14
[53] labeling_0.4.2 rmarkdown_2.21 gtable_0.3.3 codetools_0.2-19
[57] R6_2.5.1 knitr_1.42 fastmap_1.1.1 utf8_1.2.3
[61] rprojroot_2.0.3 stringi_1.7.12 parallel_4.2.3 Rcpp_1.0.10
[65] vctrs_0.6.2 tidyselect_1.2.0 xfun_0.39