Abstract
The Molecular Signatures Database (MSigDB) is one of the most widely used and comprehensive databases of gene sets for performing gene set enrichment analysis. Since its creation, MSigDB has grown beyond its roots in metabolic disease and cancer to include >10,000 gene sets. These better represent a wider range of biological processes and diseases, but the utility of the database is reduced by increased redundancy across, and heterogeneity within, gene sets. To address this challenge, here we use a combination of automated approaches and expert curation to develop a collection of “hallmark” gene sets as part of MSigDB. Each hallmark in this collection consists of a “refined” gene set, derived from multiple “founder” sets, that conveys a specific biological state or process and displays coherent expression. The hallmarks effectively summarize most of the relevant information of the original founder sets and, by reducing both variation and redundancy, provide more refined and concise inputs for gene set enrichment analysis.
Keywords: gene expression, gene set enrichment analysis, gene sets
INTRODUCTION
High-throughput technologies, such as microarrays and next generation sequencing, generate measurements of gene activity at genomic scale. For transcription profiling, these technologies report transcript abundances for tens of thousands of genes. Analysis of this type of data usually follows one of two approaches. The first identifies genes that are differentially expressed across phenotypes of interest. This is straightforward to perform, but in practice it leads to challenges in the follow-up analysis and interpretation of results. For example, in some instances only a few genes reach statistical significance and the analysis may not produce meaningful results. Alternatively, when a large number of genes pass a significance threshold, there may be no obvious way to select the most interesting genes to follow up. Moreover, the resulting list of genes may be difficult to interpret and to identify the relevant biological process that those genes represent. An alternative approach, pioneered by Gene Set Enrichment Analysis (GSEA) (Mootha et al., 2003; Subramanian et al., 2005), focuses on coordinated differential expression of annotated groups of genes, or gene sets, and produces results that can more easily be interpreted in terms of the relevant biological processes. Since its introduction, the use of GSEA has become widespread and has motivated the development of many similar approaches (reviewed in Huang et al., 2009a) and even novel statistical methods based on groups of variables (Efron, 2010; Good, 2011). Over the last decade GSEA has proven a very successful approach in many fields of biomedical research and has become an essential part of the genomic analysis toolbox.
The Molecular Signatures Database (MSigDB) (Liberzon et al., 2011), originally developed for use with GSEA and now employed by many similar approaches, remains one of the largest and most popular repositories of gene sets. The latest version of MSigDB consists of seven collections C1-C7 which include: genes grouped by their location in the human genome (C1), canonical pathways and experimental signatures curated from publications (C2), genes sharing cis-regulatory motifs up- or downstream of their coding sequences (C3), clusters of genes co-expressed in microarray compendia (C4), genes grouped according to gene ontology (GO) categories (C5), signatures of oncogenic pathway activation (C6), and a large collection of immunological conditions (C7). All of the gene sets in MSigDB are reviewed, curated, and annotated manually by the MSigDB curator. They are all represented as lists of human gene symbols from the HUGO Gene Nomenclature Committee at the European Bioinformatics Institute (Gray et al., 2015).
The usefulness of GSEA and other gene-set-based analysis methods depends on the availability of independent compendia of gene sets such as MSigDB. The growth of these compendia over time can provide the benefits of better representation and coverage of biological processes but it can also pose new challenges. These challenges derive from the intrinsic redundancy and heterogeneity associated with a larger universe of gene sets.
Redundancy can take different forms, e.g. gene sets may simply share a large proportion of their comprising genes. Another more subtle form of redundancy can occur when gene sets have only a partial overlap but their annotations refer to similar or the same biological process. In the latter case, the gene sets may actually represent partial transcriptional readouts of the same processes, and in both cases the sets may attain similar GSEA. As a consequence of this redundancy, gene set enrichment analysis could produce long lists of statistically significant results with multiple occurrences of essentially the same biological process. Moreover, many high scoring, but overlapping or redundant, gene sets can dominate the top of a result set and effectively hide other potentially relevant hits further down the list. In this scenario one can easily fail to notice important and relevant findings and thus not realize the full potential of GSEA. In addition, the overrepresentation of a biological process at the top of a gene set list can skew the tail of the observed distribution of enrichment scores, thereby increasing the significance of top scoring gene sets that represent the same signal.
A second challenge stems from heterogeneity within a gene set. For example, genes in a given gene set do not always behave consistently or coherently. This could be due to several causes: variation because of context dependencies, the existence of multiple modalities of biological response, intrinsic variation in the original dataset from which the gene set is experimentally or computationally derived, limitations of manual curation, or poor biological resolution with respect to the relevant biological process.
Here we present a new MSigDB collection of “hallmark” gene sets and show how it can help to overcome these challenges. These hallmark gene sets are generated by a hybrid approach that combines an automated computational procedure with manual expert curation. The computational methodology identifies gene set overlaps and generates coherent representatives of them. The manual curation makes critical use of domain expert knowledge in order to: i) assign biological themes to groups of the original overlapping gene sets, ii) identify expression data for refinement and validation of the hallmark signatures, and iii) properly annotate the refined hallmarks. The hallmarks summarize information across multiple gene sets by emphasizing genes that display coordinate expression and represent well-defined biological processes, thereby reducing variation and redundancy, and providing a better delineated biological space for GSEA analysis.
RESULTS
Generating the Hallmark Collection
Here we give an overview of the hallmarks generation procedure (see Methods for details). We first identified groups of similar gene sets according to their individual gene membership overlaps using consensus clustering. Starting with 8,380 gene sets from MSigDB v4.0 collections C1-C6, the consensus clustering grouped them into 600 clusters. We manually reviewed the clusters and were able to annotate 43 of them with 50 clear biological themes. While 36 clusters had only one theme assigned to them, seven clusters were assigned to two themes due to the heterogeneity of their founder gene sets (see Supplemental Experimental Procedures, Note 1 for details). These themes, and their associated clusters, served as candidates for an initial collection of hallmark signatures. We defined “raw” sets, one for each candidate hallmark, as the union of a cluster’s gene sets. We refined each of these raw sets according to its gene expression profile in a number of datasets relevant to the corresponding biological theme. The refinement excluded genes that did not well discriminate the relevant phenotype. In this way, only coordinately expressed and biologically relevant genes remained in the final hallmark to be added to the collection. An additional validation procedure determined whether the final hallmark generalized, i.e., performed as expected in an independent dataset that was not used for the refinement. Founders for the final set of 50 hallmarks (Table 1) comprise 4,022 of the original 8,380 MSigDB gene sets.
Table 1.
Hallmark name | Process category | Description | Number of founder sets |
Number of genes |
|
---|---|---|---|---|---|
| |||||
1 | APICAL_JUNCTION | cellular component | Apical junction complex consisting of adherens and tight junctions | 37 | 200 |
2 | APICAL_SURFACE | cellular component | Membrane proteins in the apical domain | 12 | 44 |
3 | PEROXISOME | cellular component | Peroxisomes | 28 | 107 |
| |||||
4 | ADIPOGENESIS | development | Adipocyte development | 36 | 200 |
5 | ANGIOGENESIS | development | Blood vessel formation | 14 | 36 |
6 | EPITHELIAL_MESENCHYMAL_TRANSITION | development | Epithelial mesenchymal transition | 107 | 200 |
7 | MYOGENESIS | development | Muscle differentiation | 64 | 200 |
8 | SPERMATOGENESIS | development | Sperm development and male fertility | 24 | 135 |
9 | PANCREAS_BETA_CELL | development | Genes specific to pancreatic beta cells | 24 | 40 |
| |||||
10 | DNA_REPAIR | DNA damage | DNA repair | 44 | 150 |
11 | UV_RESPONSE_DOWN | DNA damage | UV response: down-regulated genes | 17 | 144 |
12 | UV_RESPONSE_UP | DNA damage | UV response: up-regulated genes | 16 | 158 |
| |||||
13 | ALLOGRAFT_REJECTION | immune | Allograft rejection | 190 | 200 |
14 | COAGULATION | immune | Coagulation cascade | 71 | 138 |
15 | COMPLEMENT | immune | Complement cascade | 71 | 200 |
16 | INTERFERON_ALPHA_RESPONSE | immune | Interferon alpha response | 82 | 97 |
17 | INTERFERON_GAMMA_RESPONSE | immune | Interferon gamma response | 82 | 200 |
18 | IL6_JAK_STAT3_SIGNALING | immune | IL6 STAT3 signaling during acute phase response | 24 | 87 |
19 | INFLAMMATORY_RESPONSE | immune | Inflammation | 120 | 200 |
| |||||
20 | BILE_ACID_METABOLISM | metabolic | Biosynthesis of bile acids | 28 | 112 |
21 | CHOLESTEROL_HOMEOSTASIS | metabolic | Cholesterol homeostasis | 28 | 74 |
22 | FATTY_ACID_METABOLISM | metabolic | Fatty acid metabolism | 53 | 158 |
23 | GLYCOLYSIS | metabolic | Glycolysis and gluconeogenesis | 87 | 200 |
24 | HEME_METABOLISM | metabolic | Heme metabolism | 36 | 200 |
25 | OXIDATIVE_PHOSPHORYLATION | metabolic | Oxidative phosphorylation and citric acid cycle | 93 | 200 |
26 | XENOBIOTIC_METABOLISM | metabolic | Metabolism of xenobiotics | 124 | 200 |
| |||||
27 | APOPTOSIS | pathway | Programmed cell death; caspase pathway | 80 | 161 |
28 | HYPOXIA | pathway | Response to hypoxia; HIF1A targets | 87 | 200 |
29 | PROTEIN_SECRETION | pathway | Protein secretion | 74 | 96 |
30 | UNFOLDED_PROTEIN_RESPONSE | pathway | Unfolded protein response; ER stress | 22 | 113 |
31 | REACTIVE_OXYGEN_SPECIES_PATHWAY | pathway | Reactive oxygen species (ROS) pathway | 13 | 49 |
| |||||
32 | E2F_TARGETS | proliferation | E2F targets | 420 | 200 |
33 | G2M_CHECKPOINT | proliferation | Cell cycle G2/M checkpoint | 420 | 200 |
34 | MYC_TARGETS_V1 | proliferation | MYC targets variant 1 | 404 | 200 |
35 | MYC_TARGETS_V2 | proliferation | MYC targets variant 2 | 6 | 58 |
36 | P53_PATHWAY | proliferation | p53 pathway | 85 | 200 |
37 | MITOTIC_SPINDLE | proliferation | Mitotic spindle assembly | 108 | 200 |
| |||||
38 | ANDROGEN_RESPONSE | signaling | Androgen response | 8 | 117 |
39 | ESTROGEN_RESPONSE_EARLY | signaling | Early estrogen response | 61 | 200 |
40 | ESTROGEN_RESPONSE_LATE | signaling | Late estrogen response | 61 | 200 |
41 | IL2_JAK_STAT5_SIGNALING | signaling | IL2 STAT5 signaling | 13 | 200 |
42 | KRAS_SIGNALING_UP | signaling | KRAS signaling, up-regulated genes | 14 | 200 |
43 | KRAS_SIGNALING_DOWN | signaling | KRAS signaling, down-regulated genes | 16 | 200 |
44 | MTORC1_SIGNALING | signaling | mTORC1 signaling | 487 | 200 |
45 | NOTCH_SIGNALING | signaling | Notch signaling | 49 | 32 |
46 | PI3K_AKT_MTOR_SIGNALING | signaling | PI3K signaling via AKT to mTORC1 | 591 | 105 |
47 | HEDGEHOG_SIGNALING | signaling | Hedgehog signaling | 79 | 36 |
48 | TGF_BETA_SIGNALING | signaling | TGF beta signaling | 29 | 54 |
49 | TNFA_SIGNALING_VIA_NFKB | signaling | TNFA signaling via NFkB | 132 | 200 |
50 | WNT_BETA_CATENIN_SIGNALING | signaling | Cannonical beta catenin pathway | 49 | 42 |
Examples using the Hallmark Collection
In this section, we give three examples that illustrate different aspects of the use of the hallmark collection for GSEA. The first example shows how using only the hallmarks can form the basis for a concise and sensitive comparison between subtypes of medulloblastoma. It also illustrates the type of summarization that hallmarks provide for their founder sets. The next example necrosis in glioblastoma, demonstrates the redundancy reduction gained from using the hallmark collection instead of the original MSigDB collections C1 – C6. Finally, in the last example we show that hallmarks can effectively associate with their corresponding protein activation phenotypes thus confirming their biological relevance.
Analysis of Hedgehog signaling in medulloblastoma
Medulloblastomas comprise a diverse group of malignant tumors of the cerebellum and are the most common pediatric brain cancers (Northcott et al., 2012). In 2011, Cho et al. analyzed transcriptomes of a collection of 189 primary medulloblastoma tumors. Unsupervised clustering of this dataset identified six distinct molecular subgroups of medulloblastoma, including one that is driven by the tumorigenic activation of the Hedgehog pathway (Cho et al., 2011). Here we considered only the samples of the Hedgehog subtype. As a “control”, we used samples of another subtype from this dataset where the relevant oncogenic process is not Hedgehog signaling but rather photoreceptor activation and GABRA5 up-regulation. We projected the samples from these two subtypes into the space of the 50 hallmarks by means of single sample GSEA (Barbie et al., 2009). Single sample GSEA (ssGSEA, see Methods) estimates the degree of enrichment of gene sets in individual samples. Then we estimated the degree of association between each hallmark’s ssGSEA profile and the Hedgehog vs. photoreceptor activation phenotypic distinction using the Information Coefficient (IC, see Methods). In fact, any standard method for differential analysis could be used for this purpose. An empirical sample-label permutation test (500,000 random permutations) was used to estimate the statistical significance of the scores (i.e., the p-value and False Discovery Rates (FDR) in Figure 1A). Notably, if we rank the hallmarks according to their association with the Hedgehog versus photoreceptor phenotypes then the top-scoring hallmark, i.e., the one with the highest IC value (IC: 0.7346, p-value: 2×105, FDR:1×105), is indeed the Hedgehog hallmark, consistent with prior findings in the literature (Cho et al., 2011). A heat map of the results along with the hallmarks ranked by IC appears in Figure 1A. Thus we see the sensitivity of the Hedgehog hallmark in detecting its relevant biological process i.e., oncogenic activation of the sonic hedgehog pathway in the context of a disease subtype.
Repeating the analysis with the original Hedgehog hallmark’s founder sets, augmented by the hallmark itself, reveals that the hallmark attains the 4th highest IC measure of association with the oncogenic phenotype (Figure S1). The first 3 highest scoring gene sets refer to embryonic development of the nervous system (Figure 1B and Figure S1).
Analysis of necrosis in glioblastoma
Here we show how hallmarks address the problem of gene set redundancy, by illustrating the difference between GSEA performed with the hallmarks and one that uses thousands of gene sets from the MSigDB collections C1-C6. The dataset contains expression data for 200 glioblastoma multiforme (GBM) and two normal brain samples from the Cancer Genome Atlas Research Network (TCGA) (Verhaak et al., 2010). GBM is the most common, most aggressive malignant primary brain tumor in adults (Ostrom et al., 2013). Necrosis, resulting from a limited supply of oxygen and nutrients, is a critical diagnostic feature of GBM (Karsy et al., 2012). We performed standard GSEA on this dataset with the MSigDB v4.0 collections C1-C6 using the samples’ clinical annotation of percentage of necrosis as a continuous phenotype, the Pearson correlation as the ranking metric, and 1,000 permutations of sample labels to estimate significance.
The analysis yielded 527 significantly enriched gene sets that were positively correlated with necrosis (FDR < 0.25, Table S1). Upon inspecting these 527 significant gene sets we were able to assign 11 biological themes to 245 of them. Figure 2 shows the ranks of those annotated gene sets according to their enrichment scores (NES values) grouped by their corresponding biological theme on the left side.
The 100 top scoring gene sets show numerous instances of three biological processes: NFκB signaling, EMT (epithelial-mesenchymal transition), and hypoxia/glycolysis. Indeed, 62 out of the 100 top scoring sets account for 27 NFkB, 25 EMT and 10 hypoxia/glycolysis annotations (Figure 2). The strong presence of EMT and NFκB signatures in association with necrosis agrees with the observations made in the original GBM study. However, an additional group of 8 biological themes (shown inside a red box in Figure 2) only appear below rank 97 in the ranked results list and are thus eclipsed. For example, the original study noted deregulation of the p53 pathway as an underlying relevant biological theme of GBM. Our analysis finds significant enrichment of 15 gene sets corresponding to the p53 pathway. However, the first such gene set appears only at rank 114 and thus, despite being statistically significant, would more likely be overlooked in a routine interpretation of the GSEA results.
Repeating GSEA with the 50 hallmarks finds 12 that are significantly enriched (FDR < 0.25, Table S2). The three top hallmarks correspond to the biological themes in the top 100 full MSigDB analyses, but the hallmark collection is more sensitive and also highlights the other eight biological processes. Notably, the hallmarks not only produce more parsimonious but equivalent results representing the main biological themes found in the prior analysis, but they also avoid the problem of gene set redundancy and over-representation altogether.
Matching hallmark enrichment scores to protein level phenotypes
We sought biological validation that the hallmark gene sets are able to detect their annotated processes by measuring their performance against experimental data from established protein reporters of pathway activation. For this we used a subset of the Cancer Cell Line Encyclopedia (CCLE) gene expression dataset (Barretina et al., 2012). Besides gene expression, the CCLE repository (www.broadinstitute.org/ccle) maintains detailed genomic, proteomic, and pharmacologic records for about 1,000 cancer cell lines. We projected the CCLE gene expression dataset onto hallmark gene sets using ssGSEA. To define protein abundance phenotypes we utilized the CCLE reverse phase protein array (RPPA) data. RPPA is an antibody-based assay that quantifies expression of proteins and allows concordant interrogation of multiple proteins in many samples (Spurrier et al., 2008). For a large panel of CCLE cell lines, we obtained the RPPA abundances of 8 proteins: AR, BCL2, CDH2 (N-cadherin), ESR1, KDR (VEGFR2), MYC, SMAD3, STAT5A, and a variant of STAT3 phosphorylated at Tyr705 (STAT3_pY705). Next, we matched 9 relevant ssGSEA hallmark profiles to those phenotypes using the IC, and assessed the significance of their matching scores using an empirical permutation test as above (2,083,333 permutations). Figure 3 (A through I) shows the results. We observe that all the relevant hallmark enrichment profiles display a high degree of association against the corresponding protein profiles (IC scores and p-values):
MYC protein (Figure 3A)
Cell lines with high levels of MYC protein are associated with high ssGSEA scores for both MYC hallmarks (MYC targets V1: IC = 0.552, p < 4.8×10−7; MYC targets v2: IC = 0.464 p < 4.8×10−7).
Estrogen Response (Figure 3B)
There is a strong association of ESR1 protein expression with the ssGSEA scores of both hallmarks for estrogen response (IC = 0.518, p < 4.8×10−7).
Androgen Receptor (Figure 3C)
Androgens are a group of steroid hormones that regulate the development and maintenance of male characteristics (Matsumoto et al., 2013). Accordingly, the highest ssGSEA score of the hallmark set denoting androgen response corresponds to high AR protein levels (IC = 0.429, p = 0.0002).
BCL2 and Apoptosis (Figure 3D)
BCL2 blocks apoptosis and consequently its protein levels display strong association (IC = 0.476, p < 4.8×10−7) with a proliferation signature represented by the E2F hallmark (Topham and Taylor, 2013). The BCL2 profile has also a strong negative association with the apoptosis hallmark (IC = −0.588, p < 4.8×10−7).
N-cadherin and the Epithelial-Mesenchymal Transition (Figure 3E)
N-cadherin is a marker of mesenchymal cells (Zeisberg and Neilson, 2009) and the epithelial-mesenchymal transition (EMT) (Kalluri and Weinberg, 2009). This figure shows a strong correlation between N-cadherin protein levels and ssGSEA scores of the EMT hallmark (IC = 0.560, p < 4.8×10−7).
SMAD3 and TGF-β (Figure 3F)
TGF-β interacts with TGF-β receptors and leads to phosphorylation of SMAD2 and SMAD3 proteins (Akhurst and Hata, 2012). The profile of SMAD3 protein expression matches activity of the TGF-β hallmark (IC = 0.396, p < 4.8×10−7).
STAT3 and Interleukin-6 (Figure 3G)
Interleukin-6 (IL6) binds a cytokine receptor and triggers a signal transduction cascade through Janus kinases (JAK) that culminates in phosphorylation of STAT3 on the Tyr705 (Kaptein et al., 1996; Stark and Darnell, 2012). There is a strong correlation between high levels of the phosphorylated STAT3 (STAT3_pY705) and enrichment of the IL6 JAK STAT3 hallmark (IC = 0.422, p = 2.38×104).
STAT5 and heme metabolism (Figure 3H)
STAT5 is a member of JAK/STAT signaling network (Stark and Darnell, 2012). During erythroid differentiation, erythropoietin activates STAT5, which in turn activates transcription of genes defining erythroid lineage (Ferbeyre and Moriggl, 2011). Consistent with this relationship, the heme metabolism hallmark (IC = 0.494, p < 4.76×10−7) attains high scores against the profile of STAT5A. Activation of STAT5 by IL2 in T lymphocytes, on the other hand, turns on expression of a different group of genes that play a role in a variety of immune responses. Accordingly, the hallmark for IL2 STAT5 signaling pathway is also associated with the STAT5A protein (IC = 0.368, p = 2.44×10−4).
VEGF and angiogenesis (Figure 3I)
KDR is a receptor of VEGF growth factor. As such, it is a key regulator of blood vessel formation (Folkman and D'Amore, 1996). We observe strong correlation between KDR protein levels and activity of the angiogenesis hallmark (IC = 0.580, p < 4.76×10−7).
DISCUSSION
Here we introduce a collection of hallmarks, along with a methodology to generate them, and demonstrate their utility in several examples. The hallmark generation method of gene overlap yielded groups of gene sets with coherent annotation and thus eventually produced hallmarks that represented the relevant signal in related and potentially redundant gene sets. Because gene sets often convey approximate and incomplete versions of the pertinent biological conditions, we developed a hybrid approach, which combined computational and manual steps. The automated steps included clustering, microarray data processing and meta-analysis. Expert human biological review was essential to leverage prior domain knowledge for labeling clusters with biological themes because the automated clustering methods do not provide a sense of the degree of biological resolution represented by the clusters. Additional manual tasks, also requiring an experienced curator, included locating microarray datasets and annotating their phenotype classes. The refinement methodology allows the hallmark to contain the most transcriptionally coherent set of genes, which serve as more effective and accurate transcriptional signatures for detecting specific biological processes. By summarizing relevant information from thousands of founder gene sets across diverse collections in MSigDB, hallmarks greatly reduce redundancy and produce more robust and concise GSEA results that facilitate interpretation and follow-up analysis, as well as substantially reduce the chances of missing potentially important findings. The fifty hallmarks described here represent 48% (4,022 out of 8,380) of MSigDB gene sets. The hallmarks also capture 52.7% (452 out of 858) gene sets from the C4 collection of co-expression modules, which cover the global landscape of the transcriptome.
The hallmarks are freely available as the H Collection in the MSigDB v5.0 and can be used by any enrichment analysis method that relies on gene sets. The name of every gene set in this collection starts with HALLMARK to distinguish them from other MSigDB gene sets. Table 1 lists all 50 hallmarks by their names and provides their biological process category, a brief description and additional statistics such as their size and their number of founder gene sets. Table S3 contains detailed statistics for the gene sets used to make the hallmarks and their cluster assignments. Each hallmark set and all of its annotations appear on a separate web page of the MSigDB web site (see example in Figure S2). This page also provides a brief description of each hallmark and follows the standard conventions for MSigDB gene sets. In addition every hallmark page contains links to its founder gene sets and includes details about specific datasets and phenotype class comparisons that were used to refine and validate the hallmark. This information is particularly useful when interpreting enrichment analysis results and in follow up studies. In order to take full advantage of hallmarks and the exploratory nature of GSEA, we recommend proceeding through a series of GSEA analysis stages (see Box 1).
Box 1. Practical Guidelines for using the MSigDB Hallmark Gene Set Collection.
I. Establish a “bird’s-eye view” of the data by carrying out GSEA using the hallmark collection. Because the hallmarks have been carefully generated and tested, a significant result in this analysis should be considered as having high confidence and worthy of additional follow up.
II. Repeat GSEA using the founder gene sets for each of the top scoring hallmarks to explore more specific or detailed findings.
III. Complement the analysis using other sub-collections of MSigDB gene sets for specific purposes. For example the C3 (master regulators/transcription factors) or C6 (oncogenic pathways) collections can provide additional insight via signals not yet represented in the hallmarks.
In some cases, the hallmark gene sets can be useful in generating target profiles to match against genomic variables (e.g., mutation status, copy number alterations, drug sensitivity, etc.) associated with the biological themes that the hallmarks represent.
We view this group of 50 hallmarks as an initial set deriving from the gene set clusters where the relationship to a biological theme was clear during manual review. Notably, this first set already corresponds to a broad coverage of cellular processes representing about half of the gene sets in the MSigDB. We plan to move forward with a program to enhance and expand the collection, encouraged by the current results that demonstrate an increase in signal strength and the good summarization capability of the hallmarks. We believe this collection will prove to be a valuable user resource for the community and provide even more precise results when used with enrichment analysis methods.
Experimental Procedures
Hallmark generation methodology
Step 1: Identify groups of similar gene sets using consensus clustering
We first clustered all the gene sets according to their member genes’ overlaps and regardless of their annotations. We used consensus clustering (Monti et al., 2003) with bootstrap resampling to allow a more robust determination of cluster stability for multiple values of k, the ultimate number of clusters. In order to find the optimal number of clusters, we inspected the cophenetic coefficient as a function of k and searched for a peak value indicating the most stable partition (Brunet et al., 2004). We avoid choosing solutions with high values of k that produce higher values of the cophenetic coefficient but potentially overfit and represent small numbers of gene sets in each cluster. The extreme of this behavior is, for example, when the number of clusters equals the number of items, and the fit becomes perfect.
The input dataset to this procedure consisted of 8,380 gene sets from MSigDB v4.0 (collections C1 through C6) each containing between 5 and 1,994 genes (features). We decided to include the C1 collection containing genes in cytogenetic bands because these often indicate regions of similar chromatin structure, or regions affected by oncogenic copy number alterations, which could result in co-regulation and may be important in development and cancer related datasets. We used agglomerative hierarchical clustering with average linkage as implemented in the fastclust R package (Müllner, 2013). For the clustering distance metric we used the Jaccard’s distance (Jaccard, 1902; Levandowsky and Winter, 1971). For two gene sets S1, S2 the Jaccard distance is:
(1) |
where is the number of elements in the intersection of is the number of elements in the union of the sets.
The bootstrapping resampling procedure for consensus clustering involved sampling with replacement from a pool of 31,847 genes comprising the union of all the 8,380 original gene sets. We performed 100 resampling iterations and carried out consensus clustering for 50 ≤ k ≤ 8,000 in increments of 50. We used cophenetic coefficients (ρ) of the consensus clustering results to estimate the optimal number of clusters. The cophenetic analysis showed two peaks: one at k = 450 (ρ = 0.9668) and another at k = 600 (ρ = 0.9670, Figure S3). After inspecting results for both values of k, we found the partition with k = 450 to be too coarse and heterogeneous for our purposes. On the other hand, clusters made with k = 600 seemed to be at the level of granularity that was more appropriate for making hallmark sets. We therefore chose the partition at k = 600 to produce clusters of gene sets for the subsequent steps in the hallmark methodology.
Step 2: Filter clusters and identify biological themes
After initial manual assessment, we excluded some of the clusters from further consideration based on their small size in terms of number of genes or gene sets. We left out clusters that had fewer than 150 genes total when we merged the genes in all their member gene sets to allow for sufficient number of genes for subsequent refinement by meta-analysis. We also removed clusters with fewer than six gene sets as the smaller clusters usually lacked sufficient information (in terms of descriptions of and overlaps among their constituent gene sets) to deduce meaningful biological theme. The filtering left 168 clusters for the next stage.
Upon manual inspection of these clusters, we assigned biological themes to 73 clusters where the theme was clearly identifiable. To do this, we relied on the MSigDB annotations of both the gene sets, in the form of their names and descriptions, and their individual genes. In a number of cases, we also used complementary annotation tools such as DAVID (Huang et al., 2009b) to obtain additional clues about the most relevant pathways represented by them.
Step 3: Identify gene expression datasets for refinement
We queried the GEO (Barrett et al., 2007) and ArrayExpress (Rustici et al., 2013) to find relevant human, mouse or rat expression datasets for each of the 73 clusters of the previous step. Each dataset was required to contain at least 3 samples in each phenotypic class. We also verified that these datasets were not used to define any of the hallmarks. For subsequent steps we chose 43 of these clusters, for which we identified at least 3 datasets for refinement and a fourth independent one for validation. These 43 clusters were annotated with 50 biological themes. Seven clusters gave rise to two due to heterogeneity within founding gene sets (Supplemental Experimental Procedures, Note 1 and Table S4). We plan to continue assigning themes and processing the remaining clusters to develop additional hallmarks in the future.
Step 4: Define raw hallmark sets
We defined raw hallmarks for each of the 50 hallmarks produced by the previous step. A raw hallmark is the union of a cluster of founder gene sets’ genes after excluding all the “unknown genes”. We considered a gene as “unknown” if it has been identified exclusively by automatic computational predictions or represented a poorly documented sequence such as an EST. Specifically, we defined a gene as “unknown” if its official gene symbol (according to NCBI Entrez and HUGO) matched naming conventions of an EST (e.g., “KIAA”, “LOC”, “MGC”, “FLJ”, or “DKFZp” followed by digits).
Step 5: Refining raw hallmark sets
We assessed how well each gene in each raw hallmark discriminated the relevant phenotypes in each of the datasets identified in step 3. We again used the IC between the phenotype or class vector and the gene expression profiles as the discrimination metric. We assessed the statistical significance of each gene’s IC score and produced nominal p-values using a sample permutation test to create an empirical null distribution. This was done independently for each gene expression test dataset. A meta-analysis produced summary p-values across these datasets using Fisher’s method (Fisher, 1948) as implemented in R package MetaDE (Wang et al., 2012). We used summary p-values to compute False Discovery Rates (FDR) following the approach of (Benjamini and Hochberg, 1995). The genes in the raw hallmark were then sorted by their FDR values and the top scoring genes with summary FDR values less than 0.01 comprised the final hallmark set. When the number of genes obtained by this method was less than 15 (or more than 200) the top scoring 15 (or 200) genes were chosen regardless of their FDR values. Thus the refined hallmarks consist of at least 15 and at most 200 genes, which is the recommended size for use with GSEA. In the refinement procedure we focused on up-regulated genes and used one-tailed tests. The rationale for this stems from our empirical observation that expression patterns of down-regulated genes are often context dependent and tend to generalize poorly across datasets, while up-regulated genes are more consistent.
Step 6: Independent validation and final hallmark set
The final hallmark set consists of genes that, at the same time, represent multiple gene sets and also display coherent, discriminating behavior across a number of test datasets. Every hallmark was validated on at least one additional independent dataset. The validation consisted of computing the ssGSEA scores for the hallmark in the independent datasets and confirming that the nominal p-value of the IC score of the hallmark vs. target phenotype was less than 0.05.
Procedures for computing Jaccard’s coefficients, microarray data processing, the information coefficient metric, gene set enrichment analysis, and data visualization are in Supplemental Experimental Procedures.
Supplementary Material
ACKNOWLEDGEMENTS
We thank Rahi Punjabi for assistance in hallmark refinement and Tenley Archer, William Kim, Rajiv Narayan, Scott Pomeroy, and Aravind Subramanian for useful discussions. This project was supported by NIH grants: R01CA154480, R01CA121941, R01GM074024, and U54CA112962.
Footnotes
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DISCLOSURE DECLARATION
The authors declare no conflict of interest.
AUTHOR CONTRIBUTIONS
TO BE ADDED AT PROOFS
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