Geometric single cell deconvolution

Ultrafast deconvolution of bulk RNA-Seq datasets using a single-cell RNA-Seq reference dataset in which cell clusters have been defined.

Installation

Bioconductor version >=3.20 must be installed first for this package to install correctly. For full package functionality, particularly with sparse matrices stored on disc in the h5ad format, we recommend that the Bioconductor packages zellkonverter, rhdf5 and HDF5Array must also be installed to be able to read h5ad files. If you are using Seurat, then it needs to be installed. We also recommend installing AnnotationHub to enable conversion of ensembl gene ids to symbols.

# Bioconductor must be installed +/- updated first
BiocManager::install(version = "3.xx")  # set to latest version

# minimum necessary Bioconductor packages to install cellGeometry package
BiocManager::install(c("ensembldb", "DelayedArray"))

# packages needed to read h5ad files
BiocManager::install(c("zellkonverter", "rhdf5", "HDF5Array"))

# optional, if you are using Seurat
install.packages("Seurat")

# package needed to convert ensembl gene ids to symbols
BiocManager::install("AnnotationHub")

Install from Github

devtools::install_github("myles-lewis/cellGeometry")

Algorithm

The algorithm is performed in two stages:

  1. Optimal gene markers for each cell subclass are identified. In this part, each gene is considered as a vector in high dimensions with cell clusters as dimensions.

  2. The bulk RNA-Seq is deconvoluted by calculating the vector projection of each bulk RNA-Seq sample against a vector representing each cell cluster in high dimensional gene marker space using the vector dot product. In order to adjust for spillover in the vector projection between cell clusters, a compensation matrix is applied.

Example h5ad file

The following example is based on a the Cell Typist dataset (Global) which contains 329,762 immune cells and is available on the CZ cellxgene repository here: https://cellxgene.cziscience.com/collections/62ef75e4-cbea-454e-a0ce-998ec40223d3

The h5ad file (2.9 Gb) for the example can be downloaded from CZ cellxgene repository directly using this link: https://datasets.cellxgene.cziscience.com/2ac906a5-9725-4258-8e36-21a9f6c0302a.h5ad

First we load the file in HDF5 format so that the full data remains on disc and only subsets of the data are loaded/processed when necessary using the HDF5Array and DelayedArray packages.

library(zellkonverter)
library(SingleCellExperiment)
library(cellGeometry)

typist_h5 <- readH5AD("2ac906a5-9725-4258-8e36-21a9f6c0302a.h5ad",
                      use_hdf5 = TRUE, reader = "R")

We extract the main count matrix and cell metadata. cellGeometry needs rownames on the count matrix.

mat <- typist_h5@assays@data$X
rownames(mat) <- rownames(typist_h5)
meta <- typist_h5@colData@listData

Example Seurat file

Some users report difficulties with installing zellkonverter. cellGeometry can also be used with Seurat files although these become progressively slower with larger datasets as well as needing substantial amounts of RAM, so for datasets >1M cells we recommend persevering with zellkonverter and the h5ad format since it is much faster. We include example code for loading a Seurat file below as an alternative to h5ad.

At time of writing the rds file (2.9 Gb) in Seurat format can be downloaded from CZ cellxgene repository directly using this link: https://datasets.cellxgene.cziscience.com/2ac906a5-9725-4258-8e36-21a9f6c0302a.rds

CZ cellxgene state that Seurat support will end after Dec 2024.

library(Seurat)
typist <- readRDS("08f58b32-a01b-4300-8ebc-2b93c18f26f7.rds")  # 15.5 GB in memory

mat <- typist@assays$RNA$counts
meta <- typist@meta.data

Extract cell subclasses and clusters

We first check cell cluster subclasses. Then we extract a vector which contains the subclass cluster for each cell and a 2nd vector for broader cell groups. We restrict the dataset to blood so that we can deconvolute blood bulk RNA-Seq data later (this is optional).

table(meta$Majority_voting_CellTypist)

subcl <- meta$Majority_voting_CellTypist
cellgrp <- meta$Majority_voting_CellTypist_high

# reduce dataset to only blood (optional)
subcl[meta$tissue != "blood"] <- NA
cellgrp[meta$tissue != "blood"] <- NA

We then run the 1st stage of cellGeometry which generates mean gene expression for each cell cluster (this is the slowest part). Then the best cell cluster and cell group gene markers are identified.

mk <- cellMarkers(mat, subclass = subcl, cellgroup = cellgrp,
                  dual_mean = TRUE, cores = 2)

The dual_mean argument only needs to be set for the purpose of the simulation later. Most users do not need to set this. It calculates both the standard mean gene expression, which is mean(log2(counts +1)), as well as the arithmetic mean of the (unlogged) counts.

The derivation of mean gene expression for each cluster and cell group is the slowest part. If you are on linux or mac, this can be sped up using parallelisation by setting cores = 2 or more. Note that this can increase memory requirements dramatically unless HFD5 is used. For this particular dataset which is moderate in size, we find significant speed up with 4-8 cores (64 Gb machine). For very large datasets (>1M cells) if the sc data is kept on disc via HFD5 then many cores can be used. But if the data or subsets of it have to be loaded into memory then we typically apportion around 16 Gb per core (e.g. 3 cores on a 64 Gb machine). So the limit on cores depends on the size of the single-cell data, available RAM and whether HFD5 is used.

Windows users can invoke parallelisation using the future backend and setting up a multisession plan.

We have not specified a bulk RNA-Seq dataset at this stage as this example is based on simulation alone. However, if you have a bulk RNA-Seq dataset it is helpful to specify it during the first call to cellMarkers(). It is only used for its rownames to identify genes that overlap between the 2 datasets. The marker signature can be updated later for different bulk datasets using updateMarkers() (see below).

We convert the ensembl ids in the cellMarkers object using the built-in function gene2symbol(). This needs an ensembl database to be loaded.

library(AnnotationHub)
ah <- AnnotationHub()
ensDb_v110 <- ah[["AH113665"]]
mk <- gene2symbol(mk, ensDb_v110)

The signature gene matrix can be displayed as follows.

signature_heatmap(mk)

The spillover heatmap between cell clusters can also be visualised.

spillover_heatmap(mk)

This heatmap as well as the signature heatmap reveals that some cell subclasses ‘spillover’ too strongly into other cell subclasses. In other words some cell types are too similar - perhaps one is really a closely related subset of the other. Here we see that Helper T cells are the most affected and their signature is similar to Tcm/Naive helper T cells.

Below we update the cellMarkers object to remove 2 cell clusters which overlap with other cell clusters and are therefore likely to be difficult to deconvolute well if applied to real world bulk RNA-Seq. For the simulation it does not matter whether these are removed or not.

mk <- updateMarkers(mk,
                    remove_subclass = c("Helper T cells", "Cytotoxic T cells"))

Simulated pseudo-bulk RNA-Seq

We can generate pseudo-bulk to test the deconvolution using the following commands. Here generate_samples() makes 25 samples with random cell counts, sim_counts. The simulate_bulk() function operates in 2 modes. In the first mode, the average gene expression for each cell cluster is extracted from the cellMarkers object and used to generate the pseudo-bulk totals. In the 2nd mode (see below) the original single-cell count data is sampled.

# simulated bulk
set.seed(3)
sim_counts <- generate_samples(mk, 25)
sim_percent <- sim_counts / rowSums(sim_counts) * 100
sim_pseudo <- simulate_bulk(mk, sim_counts)

Deconvolution itself is performed as a 2nd function deconvolute(). The plot_set() function can be used to plot the results. The metric_set() function generates a table of results.

# mode 1: (perfect deconvolution)
fit <- deconvolute(mk, sim_pseudo,
                   use_filter = FALSE)
plot_set(sim_counts, fit$subclass$output)
plot_set(sim_percent, fit$subclass$percent)

metric_set(sim_percent, fit$subclass$percent)  # table of results

In the 2nd mode, the original scRNA-Seq count dataset is sampled. Here we oversample the actual cell counts in sim_counts by 3x by setting times = 3. Cells are sampled with replacement. The desired cell counts are simply multiplied by times prior to sampling. Users will find that increasing times from 1 to 30 or more improves the deconvolution as the sum of the gene counts per sampled cell approaches the arithmetic mean of gene counts for each cell cluster.

# mode 2: sample from original sc count matrix
sim_sampled <- simulate_bulk(mat, sim_counts, subcl, times = 3)

# fix rownames
rownames(sim_sampled) <- gene2symbol(rownames(sim_sampled), ensDb_v110)

# near optimal deconvolution of counts sampled from the original scRNA-Seq
fit2 <- deconvolute(mk, sim_sampled,
                    use_filter = FALSE, arith_mean = TRUE)

# plot results
plot_set(sim_counts, fit2$subclass$output / 3)  # adjust for 3x oversampling
plot_set(sim_percent, fit2$subclass$percent)

metric_set(sim_percent, fit2$subclass$percent)

Note that these settings are mathematically ideal for simulated bulk data. In reality, we expect the scRNA-Seq signature to differ from real-world bulk RNA-Seq due to differences in chemistry and the amplification step required by single-cell sequencing. So we recommend the default settings for real-world bulk data.

The marker object mk can be rapidly updated with new settings, e.g. to alter the number of genes used per subclass, using the function updateMarkers(). If some signature genes are missing from the bulk data, deconvolute() will stop and warn you these genes are missing. updateMarkers() can then be used to refine the gene signatures using only genes which are also found in the bulk RNA-Seq dataset.

There is also a powerful function tune_deconv() which allows users to tune any of the parameters available in updateMarkers() based on a bulk reference dataset. The simulated pseudo-bulk data can be used for this purpose, but real bulk RNA-Seq would be better (more realistic and better for tuning).

Also, 2 scRNA-Seq datasets can be merged using the function mergeMarkers(). This merges the cellMarkers objects derived from each single cell dataset. One dataset is defined as reference, and the 2nd dataset is merged into it after adjustment for its overall distribution based on quantile mapping.