Methods
All of the data analysis
scripts used to generate figures and metrics in this publication are
publicly accessible in our GitHub repository at https://github.com/PayneLab/pancancerProteinMRNA . Individual scripts are listed in various sections below.
We utilized the CPTAC data from the pan-cancer
resource API. Specifically, we used the
data for transcriptomics, proteomics and DNA somatic mutation, accessed
through the publicly available CPTAC Python API. Data generation and data analysis methods for these are
detailed in the linked publications. Briefly, the transcriptomics
data is RNASeq gathered on all samples (tumor and normal), and TMT-labeled
global proteomics data was collected to characterize the proteome
(tumor and normal). A direct link to the harmonized data tables stored
at the Proteome Data Commons is https://pdc.cancer.gov/pdc/cptac-pancancer . According to the published studies, all of the studies were performed
with proper ethics.
To identify the relationship
between mRNA and proteins in the cancer cohorts, we calculated the
Spearman correlations between transcriptomic and proteomic data by
patient, separately, for tumor and normal samples. A minimum sample
size cutoff of 15 data points per gene was enforced, with the exception
of endometrial cancer, which has a cutoff of 10 due to having a smaller
number of normal samples. The exact implementation of this correlation
can be found in our GitHub repository at Implementation is here (∼/notebook_steps/data/Make_Tumor-Normal_Correlation_Dataframe.ipynb).
Data corresponding to the mRNA/protein correlation of each healthy
and tumor genes for each of the cancer cohorts are here (∼/notebook_steps/data/tumor_normal_correlation_df.csv).
Additionally, using CPTAC’s clinical data, we can analyze
the cancer stage for each sample. We combined the stage clinical information
and joined it with each patient’s proteomic and transcriptomic
data. We then grouped samples by cancer, gene, and stage in a single
data frame. Then, we did a Spearman correlation between normal and
tumor gene transcriptomics and proteomics of the genes that are present
in each stage. We set a cutoff for stages that did not have 10 or
more genes per stage to keep better consistency. We organized the
correlations in each stage and plotted the data into a Kernel density
estimation plot ( Figure
). For implementation see:
Distribution of mRNA/protein correlations. For
each of the five
CPTAC cohorts, the Spearman correlation between mRNA and protein was
performed for all genes. The distribution of these correlation coefficients
is plotted for normal samples (blue) and tumor samples.
∼/notebook_steps/data/Make_Cancer_stages_correlations_df.ipynb
and ∼ /notebook_steps/Make_Figure_1_Correlation_Change_by_Cancer_Stage.ipynb
To quantify the change in regulation
for a given gene between tumor and normal tissue, we calculated the
difference in spearman correlation coefficients, a term we named Δ_corr.
For each gene with a minimum of n = 15 ( n = 10 for endometrial) tumor and normal samples with proteomic and
transcriptomic data, we first calculated the tumor and normal correlation
coefficients (ρ). We then calculated the Δ_corr value
using the following equation:
Δ _ corr = ρ tumor − ρ normal
A positive Δ_corr
translates to a higher correlation coefficient in tumor samples, while
a negative Δ_corr translates to a lower correlation coefficient
in tumor samples. For implementation, see the readme found in the
GItHub repository at ∼ /notebook_steps.
In order to calculate probability
values for Δ_corr, we used label permutation. The advantage
of label permutation is that it allows us to explicitly create a distribution
of values under our null hypothesis and then compare the test statistic
to this null distribution. Our null hypothesis is that the mRNA/protein
correlation does not change between normal and tumor tissue. This
is equivalent to saying that the label of a sample as a tumor or normal
is not meaningful when creating an mRNA/protein correlation. Thus,
a direct instance of this null hypothesis is one where the data series
has a randomized label. By performing many randomized label experiments
(i.e., label permutations), we can create a null distribution that
exactly matches our null hypothesis.
Using tissue for both normal
and tumor samples and its matching gene readings for individual patients,
we did a label permutation to create a false correlation. Since all
patients have proteomic and transcriptomic gene information divided
into normal and tumor samples, we join them in a single data frame
to be accessed from. Then, we randomly assigned the labels of normal
and tumor to each measurement, keeping the same amount of tumor and
normal data points. To provide a more precise procedure, we set a
cutoff for genes that have 15 or more valid data points (except endometrial,
which has a cutoff of 10 or more). From each data frame that has been
permuted, we do a Spearman correlation from the permuted data frame.
This gives us a false Δ_corr for permuted data frames as seen
in Supplemental Figure 3B . We then repeat
10,000 permutations, each resulting in a false Δ_corr. In Supplemental Figure 3C , we can see how different
the original Δ_corr from the permuted delta correlations is.
From the list of Δ_corr we obtain a z -score
with respect to the original nonpermuted Δ_corr. This z -score is transformed into a p -value showing
the significance of the change in terms of a gene's mRNA/protein
correlation in a tissue. The p-values were corrected through a Benjamini-Hochberg
Procedure to account for the False Discovery Rate (FDR). We do this
for all genes and all 5 selected tissues on the BYU supercomputer.
For implementation see:
∼/notebook_steps/data/Scripts_to_Make_Cancer_Delta_Corr_and_P_Value_Dataframe
To determine differential expression
of a gene’s mRNA and protein abundance between tumor and normal
tissue, we performed a Wilcoxon rank-sums test and calculated the
mean log2 fold-change for each gene in each cancer type. P -values from the Wilcoxon rank-sums test were corrected for multiple
hypothesis testing via Benjamini–Hochberg correction. Genes
were considered to be differentially expressed if they had a BH p-value
1, following cutoffs used in. For implementation see ∼ /notebook_steps/data/Make_Proteomics_and_Transcriptomics_Differential_Expression_Dataframes.ipynb
To determine the effect
of mutations on Δ_corr, we first identified the most frequently
mutated genes in each tumor cohort. For each cohort, we identified
the top 10 most frequently mutated genes with at least n = 15 ( n = 10 for endometrial) tumor mutant and
tumor wild-type samples for statistical significance. For tumor cohorts
that did not contain at least 10 mutated genes that met the cutoff,
all genes meeting the cutoff were used. For implementation, see ∼
/notebook_steps/data/Scripts_to_make_transmutation_effects_dataframes/Find_Most_Mutated_Genes_and_Write_transmutation_scripts.ipynb
For each of the most frequently mutated genes, we next calculated
the Δ_corr for each transgene between the tumor-mutated and
tumor-wildtype samples. To determine the significance of the Δ_corr,
we performed a label based permutation (see Permutation Test) with
10,000 permutations. The permutation p-values for each mutated gene
group were then corrected for multiple hypothesis testing via Benjamini–Hochberg
correction. A mutation was considered to have a significant effect
on a transgene if the Δ_corr permutation BH p -value <0.05. For implementation see ∼ /notebook_steps/data/Scripts_to_make_transmutation_effects_dataframes/transmutation_effects.py
Permutation tests were performed on a BYU supercomputer. For bash
scripts ran on the supercomputer, see the readme found in ∼
/notebook_steps
We used the gProfiler python API to
perform a gene set enrichment analysis of significant Δ_corr
genes. For the enrichment analysis, we used the genes that have a
FDR corrected p -value of less than 0.05 and absolute
threshold of 0.2. The genes used for background are the set of genes
found in the corresponding cancer. We evaluated our genes with the
Kyoto Encyclopedia of Genes and Genomes (KEGG) library of pathways.
This was repeated for each of our 5 tissues. For implementation, see
∼ /notebook_steps/Make_Figure_5_Cancer_Hallmarks_Pathways.ipynb
Results
The Clinical Proteomic Tumor Analysis Consortium
(CPTAC) creates
proteogenomic data for cancer discovery. A typical CPTAC cohort contains
100 tumor samples, which are characterized with genomics, transcriptomics,
and proteomics, as well as clinical demographic and treatment information.
Five CPTAC cohorts have also characterized normal tissue: lung adenocarcinoma
(LUAD), lung squamous cell carcinoma (LSCC), clear cell renal cell
carcinoma (ccRCC), endometrial cancer (ENDO), and head and neck squamous
cell carcinoma (HNSCC). Therefore, we examined these five tumor types
to identify changes in the mRNA-protein relationship between healthy
and cancer tissue.
We performed a gene-wise correlation
comparison between the abundance of mRNA and protein for each gene
across all samples in a cohort. Each gene’s mRNA/protein relationship
is unique including positive, negative,
and noncorrelations ( Figure S1 ). It is
often assumed that the lack of correlation is an artifact of poor
measurement; however, the wide range
of correlation values has been observed in proteogenomic analysis
for the past 20 years through multiple iterations of both mRNA and
protein measurement technologies.
, ,
Moreover, as shown in Figure
, the correlation value is dynamic and changes
across tissues and disease states. The large shift in the distribution
of correlation values between tumor and normal tissue is the result
of a changing mRNA-protein relationship across thousands of genes.
Changes to any translational or post-translational regulatory processes
will change this quantitative relationship. We assert that changes
in this correlation between conditions such as health and disease
are a result of regulatory changes within the cell
,
and are not solely an artifact of measurement technology.
We investigated the change in a gene’s mRNA/protein relationship
by observing a change in correlation between normal and cancer tissues
( Figure
). Our metric
for a change in correlation is simply comparing the Spearman correlation
coefficient between cancer and normal tissue, called Δ_corr.
A positive Δ_corr means that the correlation coefficient in
tumor samples is larger than in normal samples, i.e., a protein’s
abundance tracks more closely to mRNA abundance. A negative Δ_corr
means that the correlation in tumors is smaller than in normal samples.
We emphasize that Δ_corr is not the same as the differential
expression. A change in correlation may be coincident with differential
expression for some genes, as seen in ARID1A in lung adenocarcinoma
( Figure
, middle row).
However, a change in correlation is not synonymous with differential
expression. For example, the protein and mRNA abundance of ARID1B
does not change between normal and tumor tissue; there is no differential
expression. However, there is a substantial change in the mRNA/protein
relationship, as denoted by a Δ_corr value of ∼0.5378.
In normal lung tissue, the mRNA/protein correlation is ∼0.027,
but in LUAD the correlation is ∼0.565. ( Figure
, bottom row). Thus, the Δ_corr highlights
a change in cellular regulation, distinct from a potential change
in abundance.
Change in correlation is distinct from change in expression.
Three
genes from the LUAD data set are shown to demonstrate the independence
of Δ_corr and differential expression. The left panel is a scatter
plot and regression analysis of each sample’s mRNA and protein
abundance (tumor samples in orange, normal tissue in blue). The middle
charts are a box plot of the protein abundance with a Wilcoxon rank-sums
test for differential expression between tumor and normal tissue.
Similar plots on the right are for the RNA abundance. NKTR, top row,
has a similar mRNA/protein correlation for both tumor and normal tissue
(Δ_corr ∼ 0.056; permutation test BH adjusted p ∼ 0.681). However, both the protein and mRNA are
differentially expressed (Wilcoxon BH adjusted p ∼
2.707 × 10 –24 ). ARID1A, middle row, has a significant
change in the correlation (Δ_corr ∼ 0.430; permutation
test BH adjusted p ∼ 0.003); normal tissue
has a noncorrelation (flat blue line), whereas tumor tissue shows
a strong positive correlation. Both protein and mRNA are differentially
expressed (Wilcoxon BH adjusted p ∼ 3.703
× 10 –
23 ). ARID1B, bottom row, has
a change in the correlation between tumor and normal (Δ_corr
∼ 0.538; permutation test BH adjusted p ∼
0.001). Normal samples have a noncorrelation (flat blue line), and
tumor samples have a positive correlation (positive sloped orange
line). This change in correlation is not associated with differential
expression (middle and right plots, Wilcoxon BH adjusted p > 0.05). The three genes were selected to showcase the diverse
cases
found in the data.
To understand which Δ_corr values are statistically
significant,
we calculated a p -value using a label permutation
test ( Figure S3 and Methods ). After applying a 5% p-value cutoff (BH corrected) and an absolute
threshold of 0.2, we find that a changing mRNA/protein relationship
is a prominent feature of cancer. Although the numbers vary depending
on cancer type, thousands of genes exhibit statistically significant
Δ_corr. Additionally, a majority of genes undergoing this change
in correlation do not exhibit changes in abundance ( Figure
).
Overlap between differential
expression and Δ_correlation.
For each gene in each cancer type, we compute both the differential
expression and Δ_corr (see Methods ).
The bar graph shows the overlap between the two metrics. Note that
a majority of genes with a statistically significant Δ_corr
do not display a statistically significant differential expression.
Given the prominence of somatic mutations in driving the cancer
phenotype, we sought to understand the potential role of mutations
in the dynamics of the mRNA/protein relationship. We specifically
wanted to test whether the observed relationship changes could be
attributed to the mutation status of oncogenes and tumor suppressors.
For each tumor type, we identified the most frequently mutated genes
and compared the mRNA/protein correlation between mutant and wildtype
tumors by computing Δ_corr and its associated p -value (see Methods ). In addition to identifying
the effect on the mutated gene, the cis effect, we also calculated
these metrics for all trans genes. After multiple hypothesis correction,
very few somatic mutations showed an effect, typically fewer than
4 trans genes per mutated oncogene ( Figure S2 ). When compared with the thousands of genes that show a statistically
significant change in Δ_corr between tumor and normal tissue,
we conclude that the impact of mutation status on the mRNA/protein
relationship is negligible.
Moving beyond single-cancer-type
analyses, we next examined this relationship across multiple cancer
types to see how a gene behaves in different contexts. For all five
cancer types, we calculate the Δ_corr and associated p -values for all genes. Genes most commonly exhibit a higher
mRNA/protein correlation in tumor tissue, with a positive Δ_corr.
However, this is both gene- and tissue-dependent; it is not universal.
Reinforcing the idea that the mRNA/protein relationship is fluid and
context dependent, genes display a wide variety of patterns across
cancer types ( Figure
).
Pan-cancer changes in mRNA/protein relationships. For each gene,
we calculate the mRNA/protein correlation in all tissue types (5 tumor
and 5 normal tissues). We plot the correlation coefficient and visually
connect the tumor/normal for each cohort. Solid lines represent statistically
significant Δ_corr, and dashed lines are not statistically significant.
Genes often display a variety of changes. The 9 genes in this figure
were selected to showcase the different changes in relationship from
normal to tumor and how they are different between tissues.
Figure
visually
represents the diverse patterns of Δ_corr across various genes
and cancer types. The BRAF gene has a weak mRNA/protein correlation
in all five normal tissues corresponding to a general unresponsiveness
of protein abundance to the mRNA levels. For the five cancer tissues,
the correlation increases. Additionally, in lung squamous cell carcinoma
(LSCC), lung adenocarcinoma (LUAD), and head and neck squamous cell
carcinoma (HNSCC), the correlation change is statistically significant.
Some genes also exhibit a decrease in the correlation in tumor tissues.
SPTA1 has a negative Δ_corr in four of the tissue types we examined;
only in ccRCC is the Δ_corr positive. This diversity in regulation
is present across all genes and tissues.
After identifying specific genes with a significant change in mRNA/protein
correlation via the Δ_corr metric, we examined whether these
genes were enriched for cancer-associated biological functions. The
analysis of somatic mutation data often identifies a set of genes
within pathways related to cell signaling and cell cycle. Similarly, differential expression analysis of
CTPAC data often identifies enrichment for cell cycle, signaling and
immune pathways, etc. As our Δ_corr
metric is a new way to describe and identify regulatory changes, we
anticipate that these might be concentrated in cancer related genes.
Therefore, we performed a gene set enrichment of genes in each cancer
to identify pathways and cancer hallmarks that were enriched in changing
genes, defined as genes whose Δ_corr had an FDR corrected p-value
<0.05 and an absolute threshold of 0.2 for each of the tissues.
We observed that the most commonly enriched pathways were metabolic
( Figure
). The most
prominent feature of this enrichment analysis is that it identifies
metabolic pathways. This is an exciting result as changes in metabolism
are well-known phenotype of tumors,
,
yet this hallmark
is rarely seen in somatic mutation based analyses.
Gene set enrichment analysis
of Δ_corr genes. We performed
gene set enrichment analysis for genes with a statistically significant
Δ_corr value in each tumor type. Plotted are gene sets that
were significant across multiple cancers. We note that many metabolic
pathways are represented.
Discussion
In cancer, cells live in an altered regulatory
state. Prior research
focused on either the presence of mutations or the relative abundance
of mRNA or proteins. Here, we introduce a new computational method
for integrating transcriptomic and proteomic data. Our metric, Δ_corr,
highlights when the quantitative relationship between mRNA and protein
changes between conditions, such as a tumor and normal tissue. This
metric is distinct from simple differential expression and instead
likely points to changes in cellular regulation. We note that the
mechanisms that govern these changes are likely to be specific to
each gene. Just as gene transcription is controlled by a variety of
transcription factors and protein localizations and interactions,
we anticipate that the mechanisms controlling the protein-mRNA relationship
are multifaceted. As an example of potential mechanisms, we note that
the abundance of P53 protein oscillates in the absence of any changes
to mRNA abundance, and that these oscillations are coincident with
P53 post-translational modification and a negative feedback loop with
the ubiquitin ligase MDM2.
,
Moreover, these dynamics
are variable by tissue type. Additionally,
in early development of C. elegans embryos and the formation of cell
identity, translational repression of mRNA transcripts inherited from
the egg is cell type dependent and utilizes mechanisms such as transcript
localization, sequestration, and inhibition via RNA binding proteins.
The original hallmarks of cancer
,
categorized
cellular dysfunction into several broad biological processes, e.g.,
cell cycle, angiogenesis, etc. The recent characterizations of tumors
via mutation profiles or gene expression often identify genes involved
in only some of the hallmarks, most often those related to the cell
cycle and cell signaling. The cancer hallmark of altered cellular
metabolism has rarely been found. However, the application of our
new metric to CPTAC pan-cancer data predominantly identifies genes
involved in metabolism.
In addition to creating a new method
for integrating proteogenomic
data and identifying subtle changes in cellular regulation, understanding
the mRNA-protein relationship also has implications on future cancer
therapeutics. With the successful creation of mRNA therapies for COVID, many researchers are beginning to explore mRNA
therapies for cancer. In examining the
mRNA/protein relationship in numerous tumor and normal tissues, we
note that the utilization of mRNA (i.e., the amount of quantified
protein relative to the amount of quantified mRNA) is highly variable
across tissues. Thus, the dosing of vaccines may need to be carefully
examined across tumor types.
Introduction
Cancer is a disease of cellular dysfunction.
As described by Hanahan
and Weinberg,
,
these dysfunctions typically fit
into one of a few broad categories called hallmarks. After the discovery
that cancer was caused by DNA mutation, early molecular analysis of tumors focused on DNA sequencing to
identify common driver mutations. Extensive genomic characterization
of tumors has identified DNA driver mutations, which help identify
disease subtypes and guide precision therapy.
,
Although
useful, this catalog of DNA mutations does not describe the altered
cellular state that defines the tumor phenotype. For this reason,
many cancer studies create proteogenomic data
,
to
better link somatic mutations to changes in mRNA and/or protein abundance.
Although mRNA is only a temporary intermediary between genome and
protein, it is frequently measured and studied as a proxy for the
cellular state due to its convenient and robust data acquisition methods.
However, a large body of evidence shows that mRNA abundance has a
low correlation to protein abundance,
−
due to translational and post-translational
regulation.
−
For proteogenomic data that contains both mRNA and protein abundance,
a common data integration exercise is to predict protein abundance
from mRNA, often with only modest accuracy.
In cancer studies,
−
although many genes have a correlation >0.6, a large number of
genes
have correlations <0.2, including negative correlation values.
Pathway analyses consistently discovered that these patterns of mRNA/protein
correlation – including high and low correlations –
are biologically coherent; metabolic and signaling pathways are enriched
in genes with a high correlation while ribosomes and oxidative phosphorylation
are enriched in genes with a low/negative correlation.
Integrative
data analysis of mRNA and proteins can also be used
to investigate biological hypotheses. For example, does the relationship
of mRNA and protein change in a disease? Is there an altered protein
homeostasis in cancer? As cancer is marked by regulatory dysfunction,
it is intriguing to evaluate whether the regulatory relationship between
mRNA and proteins has changed in tumor cells. Indeed, a fundamental
and unexplored question is whether mRNA/protein quantitative relationships
are static or dynamic. A static relationship implies that the mRNA/protein
correlation is the same in all tissues and disease states. This is
an implicit assumption of algorithms that learn to predict protein
abundance from mRNA, as they are trained on data from a limited set
of conditions. Although some have suggested that this relationship
is fixed and static,
,
several studies demonstrate that
this can be a fluid relationship.
−
For example, Takemon
et al. discovered age-dependent changes in protein concentration in
the absence of corresponding changes in mRNA. Indeed, a change in any post-translational regulatory mechanism
would create a dynamic mRNA/protein relationship. The extent of such
changes in cancer is unknown.
The stability of the mRNA/protein
relationship remains underexplored,
largely due to the absence of a sufficiently powered data set. To
characterize the correlation, a data set must have sufficient samples
in multiple tissues and measure both protein and mRNA for thousands
of genes. The Clinical Proteomic Tumor Analysis Consortium (CPTAC)
has created one such data set, with proteogenomic data for ∼100
tumor samples per tumor type.
,
It also contain matched
normal tissues for many tumor samples. Given the complex regulatory
mechanisms utilized by cells and the growing evidence of regulatory
plasticity in cancer cells, we sought to understand the mRNA/protein
relationship in cancer tissues. Specifically, we examined whether
this relationship is static or fluid and which cancer related genes
and pathways are affected. We discover major regulatory changes across
thousands of genes that lead to the activation of pathways associated
with hallmarks of cancer.
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