Abstract
Background
   Epigenome is highly dynamic during the early stages of embryonic
   development. Epigenetic modifications provide the necessary regulation
   for lineage specification and enable the maintenance of cellular
   identity. Given the rapid accumulation of genome-wide epigenomic
   modification maps across cellular differentiation process, there is an
   urgent need to characterize epigenetic dynamics and reveal their
   impacts on differential gene regulation.
Methods
   We proposed DiffEM, a computational method for differential analysis of
   epigenetic modifications and identified highly dynamic modification
   sites along cellular differentiation process. We applied this approach
   to investigating 6 epigenetic marks of 20 kinds of human early
   developmental stages and tissues, including hESCs, 4 hESC-derived
   lineages and 15 human primary tissues.
Results
   We identified highly dynamic modification sites where different cell
   types exhibit distinctive modification patterns, and found that these
   highly dynamic sites enriched in the genes related to cellular
   development and differentiation. Further, to evaluate the effectiveness
   of our method, we correlated the dynamics scores of epigenetic
   modifications with the variance of gene expression, and compared the
   results of our method with those of the existing algorithms. The
   comparison results demonstrate the power of our method in evaluating
   the epigenetic dynamics and identifying highly dynamic regions along
   cell differentiation process.
Electronic supplementary material
   The online version of this article (10.1186/s12864-019-5472-0) contains
   supplementary material, which is available to authorized users.
   Keywords: Epigenetic modification, Differential analysis, Hamming
   distance
Background
   Lineage specification and maintenance of cellular identity are complex
   biological processes [[33]1]. It is now widely accepted that cell
   phenotypes are significantly regulated by epigenetic states and that
   chromatin changes during differentiation contribute to the
   determination of cell fate [[34]2]. Recent evidence further shows that
   coordinated epigenetic changes influence the maintenance of such
   cellular memory [[35]3, [36]4]. DNA methylation and certain epigenetic
   modifications are essential for chromatin structures and gene
   expression in proper execution of developmental programs [[37]5,
   [38]6]. Therefore, a fundamental question in the field is to exactly
   answer where and how the epigenetic changes regulate phenotypic
   changes.
   To fully understand the dynamics and regulatory roles of epigenetic
   modifications, advanced sequencing technologies have generated
   genome-wide epigenetic maps of diverse developmental stages, lineages
   and tissues [[39]7, [40]8]. In previous studies, researchers have
   differentiated human embryonic stem cells (hESCs) into mesendoderm,
   neural progenitor cells, trophoblast-like cells, and mesenchymal stem
   cells and systematically sequenced the transcriptome and epigenetic
   modifications of these lineages [[41]9, [42]10]. The first three hESC
   derivatives reflects critical developmental linages in the embryo
   [[43]11]. Mesenchymal stem cells have the ability of further
   multi-lineage differentiation to bone, cartilage, adipose, muscle, and
   connective tissues [[44]12]. Mouse embryonic stem cells were also
   differentiated into a variety of precursor cell types [[45]13]. The
   expanding body of epigenomic data permits researchers to study the
   dynamics of epigenetic marks. This is a key step to reveal regulatory
   roles of epigenetic modifications, and to understand how global
   features of epigenetic modifications impact cellular phenotypes across
   different developmental stages, lineages and tissues.
   Most previous works focused on comparing the epigenetic modification
   profiles between two biological conditions, and further identifying
   regions that show differential patterns, such as ChIPDiff [[46]14],
   diffReps [[47]15], dPCA [[48]16], HistoneHMM [[49]17], csaw [[50]18]
   and HMCan-diff [[51]19]. While some other methods such as dMCA [[52]20]
   and Yang’s method [[53]21], were designed to detect cell-type-specific
   differential regions. Moreover, there are also some methods that were
   designed for identifying differential methylated region, such as QDMR
   [[54]22] and MethylAction [[55]23], whereas QDMR can also be applied to
   histone modification data analysis. Although several algorithms have
   been developed to analyze the epigenetic difference between two
   different conditions, little work devoting to differential analysis of
   epigenetic modifications among multiple cell types and across different
   developmental stages.
   Here, we presented DiffEM, a computational method to quantify the
   dynamics of epigenetic marks and identified highly dynamic modification
   sites (HDMSs) across different human embryonic developmental stages. We
   applied this method to a public datasets with 6 intensely studied
   epigenetic marks of 20 different developmental stages and tissues. We
   identified HDMSs where different cell types exhibit distinctive
   epigenetic modification patterns, and found that these highly dynamic
   sites are enriched in genes related to cellular development and
   differentiation. We further correlated the dynamics scores of these
   epigenetic marks with those of gene expression levels. The results
   indicate that the changes of gene expression are closely related to the
   modification patterns of H3K4me1 and H3K27me3 in promoter regions
   during cell differentiation process. We compared DiffEM with the
   existing algorithms for identifying HDMSs. The comparison results show
   that DiffEM perform better in evaluating the epigenetic dynamics and
   identifying highly dynamic modification sites. This method is promising
   for broad applications in evaluating epigenetic dynamics in other
   complex biological processes.
Materials and methods
Datasets
   To analyze the dynamic epigenetic changes during cellular
   differentiation and lineage specification, we obtained a large panel of
   epigenetic maps of human embryonic stem cells (hESCs) and the key
   derivatives, including trophoblast-like cells (TBL), mesendoderm (ME),
   neural progenitor cells (NPCs), and mesenchymal stem cells (MSCs). The
   iHMS [[56]24] database has integrated massive genome-wide epigenetic
   modification maps and RNA expression data spanning different
   developmental stages and tissues. From iHMS, we downloaded 6 epigenetic
   modification maps (H3K4me1, H3K4me3, H3K9me3, H3K27ac, H3K27me3 and
   H3K36me3) of 20 different human developmental stages and tissues,
   including hESCs, the hESC-derived precursor cell types (TBL, ME, NPCs
   and MSCs), and 15 human primary tissues (adipose, adrenal gland, adult
   liver, aorta, esophagus, gastric, left ventricle, lung, ovary,
   pancreas, psoas muscle, right ventricle, right atrium, sigmoid colon,
   spleen, thymus, small intestine, breast, brain and bladder). Meanwhile,
   the RNA expression data and reference gene annotations were also
   downloaded from iHMS.
Overview of the DiffEM model
   To characterize epigenetic dynamics across different development
   stages, we developed DiffEM, a new method to estimate the dynamics of
   epigenetic modifications based on hamming distance and identify highly
   dynamic modification sites. Unlike the previous work [[57]20], we aimed
   to detect highly dynamic regions of epigenetic modification during cell
   differentiation process. To evaluate the dynamics across different
   differential stages and the primary tissues respectively, these 20 cell
   types were further categorized into three groups, hESC-derived
   precursor cell types, primary tissues and the whole group. We introduce
   the following steps to identify HDMSs, which are also shown in
   Fig. [58]1.
Fig. 1.
   [59]Fig. 1
   [60]Open in a new tab
   The flowchart of the DiffEM approach
   Data binarization. The raw ChIP-seq data were pre-processed in iHMS
   database [[61]24]. The whole-genome was first segmented into 200bp
   bins. For each bin, neighboring read counts were summarized into an
   integer, indicating the extent of epigenetic modification in this
   region [[62]25]. To reduce the effect of noise, we transformed these
   integers into binary values. First, we calculated the binarization
   threshold, by dividing the total read counts of all bins by the number
   of bins. If the read count of a bin is higher than the threshold, its
   binary value is set as 1, otherwise 0, After binarization, we noticed
   that some bins have no signals in all cell types, which may consist of
   sequences of low mappability. The consecutive regions with length more
   than 5 kb were removed from the genome. Finally, for the 6 investigated
   epigenetic marks, we obtained 6 binary matrices B [K] of size T (the
   number of cell types) by N (the number of 200 bp bins on the whole
   genome).
   Calculation of the dynamics scores for each epigenetic mark. After data
   binarization, we calculated the dynamics scores for each epigenetic
   mark among multiple cell types. In particular, we used the hamming
   distance to measure the dynamics of each epigenetic modification. Here,
   we respectively calculated the dynamics scores of the 6 investigated
   epigenetic modifications in three cell type groups. As described above,
   given M cell types and N bins, we denoted b [ktn] as the binary
   profiles of epigenetic modification k for cell type t at position n.
   Then the difference between cell type t and others are calculated as:
   [MATH: Diffktn=
   ∑m=1,m≠tMhamming(bktn,bkmn) :MATH]
   1
   Further, the dynamics score of epigenetic modification k at position n
   was summed as:
   [MATH: DSkn=<
   mo>∑t=1M<
   /mi>Diffktn :MATH]
   2
   Identification of the highly dynamic modification sites. For each
   epigenetic mark, we have obtained the dynamics scores along the genome
   in each cell type group. The higher the dynamics score is, the greater
   the difference across these cell types exhibits. The sites with zero
   score were filtered first. Based on the calculated dynamics scores, we
   selected those bins whose dynamics scores are significantly higher than
   the genome background (p <0.05) and merged the adjacent bins into
   longer regions. These regions are referred to as highly dynamic
   modification sites (HDMSs).
Functional analysis of the highly dynamic modification sites
   To investigate the potential functions of these identified HDMSs, we
   mapped them to RefSeq genes and some functional regions. According to
   their relative positions, we related the HDMSs to various genes when
   the centers of HDMSs are located in gene regions. The number of genes
   related to HDMSs was counted. Furthermore, we mapped the bins with the
   highest score to genomic features like promoter, coding region and
   exon. If a HDMS is not related to any gene, it is labeled as an
   intergenic sites. For further analysis of the functional relevance of
   HDMSs, we performed gene ontology (GO) enrichment analysis and pathway
   enrichment analysis for genes enriched with HDMSs via DAVID
   bioinformatics resources. The significant enrichment lists are obtained
   with p<0.05.
Comparisons among different epigenetic modifications
   Epigenetic modifications play a critical role in cell differentiation
   process. Different epigenetic modifications may collaborate with each
   other to execute specific functions. We investigated the relations
   among different types of epigenetic marks. Based on the identified
   HDMSs of each epigenetic mark, the common HDMSs between different
   epigenetic modifications were obtained in the whole genome. Further, we
   estimated the correlations between the dynamics scores of these
   epigenetic modifications.
Correlation analysis between the dynamics of epigenetic mark and gene
expression
   First, we evaluated the dynamic scores of gene expression along the
   genome in each cell type group, which was calculated as the variance
   divided by the mean of gene expression. Then, we evaluated the
   correlation coefficients between the dynamic scores of epigenetic
   modifications and gene expression levels. For those identified HDMSs, a
   higher correlation coefficient indicates that gene expression is more
   easily regulated by the specific epigenetic modification.
Comparison among DiffEM, QDMR and IOD
   As there exists no gold standard to benchmark highly dynamic
   modification sites, we adopted an indirect validation strategy. As
   previous studies [[63]26], the validation was based on the correlations
   between the dynamics of epigenetic modifications and gene expression
   levels. To evaluate the performance in identifying HDMSs, we compared
   DiffEM with existing methods, QDMR and IOD. Unlike the methods
   restricted to the differential analysis between two cell types, the
   above three methods are capable of analyzing three or more cell types.
   QDMR was proposed for genome-wide differential analysis of epigenetic
   states based on Shannon entropy [[64]22]. IOD was developed to detect
   differential regions across multiple cell types [[65]27]. We first
   normalized the epigenetic data, and used QDMR and IOD to detect highly
   dynamic modification sites. These methods were compared by the
   correlations between the dynamics of epigenetic modifications and
   expression levels of the HDMSs.
Results
   To investigate the dynamics of epigenetic modifications during cell
   differentiation process, we proposed a computational method, DiffEM, to
   quantify the dynamics score of various epigenetic marks and identify
   highly dynamic modification sites (HDMSs). We focused on human
   differentiation-related cell types, consisting of human embryonic stem
   cell, 4 hESC-derived precursor cell types, and 15 primary tissues. In
   each cell type, we collected 6 genome-wide epigenetic maps and gene
   expression datasets. DiffEM was applied to identify HDMSs along cell
   differentiation process. To evaluate the performance of our proposed
   method, in this section we analyzed the identified HDMSs to discover
   their potential biological roles during cell differentiation and
   development. Furthermore, we compared DiffEM with two previous methods,
   QDMR and IOD.
Genome-wide characterization of epigenetic modification dynamics
   To better explore the dynamic epigenetic changes across different cell
   differentiation stages, these 20 cell types were further grouped into
   three groups, hESCs and hESC-derived precursor cell types, primary
   tissues and the whole group. For each group and each epigenetic
   modification mark, we quantified the dynamics score for each bin based
   on hamming distance, and then ranked these bins according to their
   dynamics scores. We selected those bins whose dynamics scores were
   significantly higher than the genome background (p <0.05).
   After merging the neighboring bins, we obtained the HDMSs for each
   epigenetic modification in each group. For different epigenetic marks,
   we found that there exist big overlaps between the HDMSs of different
   epigenetic modifications. This is consistent with previous finding that
   the epigenetic modifications collaborated with each other to consummate
   certain regulatory function. As shown in Fig. [66]2, we respectively
   calculated the percentage of overlapping HDMSs among 6 epigenetic
   modifications in these three groups. On the whole, the overlapping
   sites make up 20%˜60% of total HDMSs in different groups. In the hESCs
   and hESC-derived precursor group, the HDMSs of different epigenetic
   marks overlap more than those of the other two groups. For example, the
   overlap rates of H3K4me1 with other five epigenetic marks range from
   40% to 50% in hESC-derived group, while those overlap rates in the
   other two groups are not greater than 25%. Specifically, H3K4me3 is
   highly overlapped with H3K9me3 and H3K27ac. These observations
   demonstrate that epigenetic modifications collaborate closely to
   regulate the cell differentiation process [[67]4].
Fig. 2.
   [68]Fig. 2
   [69]Open in a new tab
   The overlaps between the top HDMSs of different epigenetic marks. The
   value in row i column j represents the proportion of HDMSs of
   epigenetic modification i overlapped by those of epigenetic
   modification j. a The hESCs and hESC-derived precursor group. b The
   primary tissues group. c The whole group
   As distinct epigenetic modifications share HDMSs, we further
   investigated the correlation between the dynamics scores of different
   epigenetic marks. As shown in Fig. [70]3, the investigated epigenetic
   marks demonstrate varied correlation in the three comparison groups. In
   particular, the epigenetic marks show higher correlation in the hESCs
   and hESC-derived precursor group. This result indicates that the
   dynamics of epigenetic modifications are similar during the cell
   differentiation process, which is conformed to the results of previous
   overlaps analysis.
Fig. 3.
   [71]Fig. 3
   [72]Open in a new tab
   The heatmaps representing the correlations between each pair of
   epigenetic modifications. a The hESCs and hESC-derived precursor group.
   b The primary tissues group. c The whole group
Highly dynamic modification sites are related to various genomic features
   Further, we mapped the identified HDMSs to RefSeq genes and collected
   the genes enriched with HDMSs for each epigenetic mark. Here we
   explored how the dynamic epigenome participates in early embryonic
   developmental stages and focused on the hESCs and hESC-derived
   precursor group. To examine the potential functions of those genes, we
   performed systematic gene ontology enrichment analysis using DAVID
   tools ([73]https://david.ncifcrf.gov/) and summarized the key
   biological processes and pathways for each epigenetic mark. Overall,
   for the aforementioned six epigenetic modification marks, we found that
   those HDMSs-enriched genes exhibit enrichment for cell differentiation
   and development functions (Table [74]1) (p value <0.05). For example,
   GO terms related to development such as ’nervous system development’
   are enriched in HDMSs of H3K4me1, H3K4me3, H3K9me3,H3K27ac, H3K27me3,
   GO terms related to differentiation such as ’neuron differentiation’
   and ’cerebellar granule cell differentiation’ are enriched in HDMSs of
   H3K4me1, H3K9me3, H3K27me3, H3K36me3. This is consistent with previous
   finding that regulatory elements essential for cellular identity are
   often epigenetically modified in parental cells [[75]28, [76]29]. The
   results highlight the importance of stage-specific epigenetic
   modification patterns of transcription factors for defining the
   developmental potentials.
Table 1.
   Functional enrichment of genes on the whole genome of six histone
   modifications
   Term type Term name P-value Term type Term name P-value
   H3K4me1
   BP Cell adhesion 1.42E-06 CC Cytoskeleton 2.90E-03
   BP Axon guidance 2.86E-05 CC Growth cone 2.15E-02
   BP Nervous system development 1.91E-04 KEGG Arrhythmogenic right
   ventricular 5.82E-03
   BP Signal transduction 1.92E-04 Cardiomyopathy (ARVC)
   BP Neuron development 2.68E-02 KEGG Axon guidance 2.79E-02
   BP Cerebellar granule cell differentiation 4.35E-02 KEGG Hippo
   signaling pathway 4.32E-02
   H3K4me3
   BP Intracellular signal transduction 7.16E-04 BP Adult behavior
   6.93E-03
   BP Signal transduction 1.22E-03 MF Extracellular-glutamate-gated ion
   channel 2.77E-03
   BP Nervous system development 2.63E-03 Activity
   BP Chemical synaptic transmission 2.88E-02 KEGG Neuroactive
   ligand-receptor interaction 6.24E-03
   H3K9me3
   BP Heterophilic cell-cell adhesion 1.87E-07 BP Regulation of RNA
   splicing 9.41E-03
   BP Cell adhesion 1.06E-04 BP Regulation of alternative mRNA splicing
   1.58E-02
   BP Nervous system development 6.27E-04 BP Chemical synaptic
   transmission 3.35E-02
   BP Regulation of neuron projection 4.09E-03 BP Cerebellar granule cell
   differentiation 3.98E-02
   Development MF Calcium ion binding 1.25E-05
   BP Signal transduction 5.41E-03 KEGG Cell adhesion molecules (CAMs)
   2.10E-02
   H3K27ac
   BP Signal transduction 7.03E-05 BP Regulation of RNA splicing 2.08E-02
   BP Nervous system development 7.47E-05 BP Cytoskeleton organization
   3.57E-02
   BP Neuron cell-cell adhesion 2.31E-04 MF Actin binding 1.20E-04
   BP Neuron development 5.28E-03 CC Growth cone 1.83E-04
   BP Glutamate receptor signaling pathway 5.76E-03 MF Protein kinase
   activity 1.15E-02
   BP Brain development 1.57E-02 KEGG Neuroactive ligand-receptor
   interaction 1.06E-02
   H3K27me3
   BP Social behavior 9.15E-05 BP Cerebellar granule cell differentiation
   3.89E-02
   BP Signal transduction 5.10E-04 MF Calcium ion binding 7.03E-05
   BP Nervous system development 2.97E-03 MF Cell adhesion molecule
   binding 1.65E-04
   BP Regulation of RNA splicing 8.99E-03 CC Growth cone 1.55E-02
   H3K36me3
   BP Heterophilic cell-cell adhesion 4.04E-07 CC Neuron projection
   4.32E-03
   BP Signal transduction 2.27E-03 MF Actin binding 7.37E-03
   BP Cell adhesion 1.25E-02 KEGG Neuroactive ligand-receptor interaction
   4.97E-02
   BP Neuron differentiation 3.37E-02
   [77]Open in a new tab
   Also, we noticed that the biological processes of distinct epigenetic
   marks have overlappings. One possible interpretation for this
   observation could be that these epigenetic marks may have the same
   changing trend, collaborating with each other to finish the complex
   regulatory functions. Taken together, the above results of GO
   annotation demonstrated the power of our method in identifying the
   highly dynamic sites of these epigenetic modifications. And, the
   results strongly suggest that the HDMSs mark critical regulatory
   regions for cell differentiation and development process. Further
   characterization of epigenetic modification patterns and gene
   expression within HDMSs may provide important insights into the
   regulatory functions of the specific epigenetic patterns.
Highly dynamic modified sites neighboring genes reveal diverse
transcriptional patterns
   To analyze the regulatory roles of these dynamic epigenetic patterns,
   we further explored the epigenetic modification and gene expression
   patterns within HDMSs. We computed the correlation coefficients between
   the dynamics of epigenetic modifications and gene expression levels of
   the HDMSs-enriched genes. We mapped the HDMSs to Ref-Seq genes and
   obtained gene expression of the associated genes. As these 20 cell
   types were divided into three groups, the dynamics score of gene
   expression was assessed using the same method as epigenetic marks (see
   Methods). For those HDMSs located in promoters, and coding regions, the
   Pearson correlation coefficients were respectively computed.
   As shown in Fig. [78]4, we noted that there is highly correlation
   between the dynamics of gene expression level and epigenetic
   modification in promoter regions. Relatively, the correlation in coding
   regions is lower. These results indicate that the variance of
   epigenetic modification patterns in promoter regions has a higher
   regulatory role than that in coding regions. The three different groups
   have a similar trend. In detail, the six epigenetic modification marks
   exhibit different regulatory effect. For the hESCs and hESC-derived
   precursor group, the dynamics of gene expression levels are highly
   regulated by the modification patterns of H3K4me1 and H3K27me3 in
   promoter regions. For the primary tissues, the correlations are much
   higher for H3K9me3 and H3k27ac.
Fig. 4.
   [79]Fig. 4
   [80]Open in a new tab
   The correlations between the dynamics of epigenetic modification and
   that of expression level in HDMSs. a The hESCs and hESC-derived
   precursor group. b The primary tissues group. c The whole group
Comparison with QDMR and IOD in identifying HDMSs
   Considering that our method was developed for the differential analysis
   for multiple cell types, we compared DiffEM with two similar previous
   methods QDMR and IOD [[81]22, [82]27], which were also designed for
   multiple conditions. QDMR is based on Shannon entropy [[83]22], and IOD
   is defined as the variance divided by the mean value [[84]27]. The
   performance was measured by the correlation analysis between the
   epigenetic modification dynamics and gene expression difference.
   Firstly, we respectively identified the highly dynamic modification
   sites using these three methods, and ranked the HDMSs according to the
   dynamics score. Similarly, we obtained the ranked highly dynamic
   expression sites. Then, we associated these HDMSs with the highly
   dynamic expression sites by bitwise matching. To evaluate the
   performance of these three methods, we define two metrics, MatchedNum
   and AveDS. MatchedNum is computed as the number of highly dynamic
   expression sites matching with the top ranked HDMSs, which is similar
   to recall. AveDS represents the average dynamics score of these matched
   highly dynamic expression sites. Here, for fair comparison among the
   three methods, we calculated the entropy as the average dynamics score
   as QMDR.
   We compared the performance on the aforemetioned 6 epigenetic
   modifications, the results are shown in Fig. [85]5 and Additional
   file [86]1. Figure [87]5 shows the comparison results for the hESCs and
   hESC-derived precursor group. Figure S1, Figure S2 (see Additional
   file [88]1) showed the results of the other two groups. We first
   compared the matched numbers of all differential gene expression sites
   output by these methods. Our method could get a higher MatchedNum of
   highly dynamic expression sites than those of QDMR and IOD
   (Fig. [89]5a). However, this raises the question that to what extent
   these matched sites are dynamically expressed. As we noted that changes
   in epigenetic modifications could cause differential expression of
   related genes, we further compared the average dynamics of gene
   expression of these matched sites. Lower ave indicate better
   performance. As the results showed (Fig. [90]5b), our method has good
   performance in AveDS. These observations demonstrate that our method
   always achieves a balance between matched MatchedNum and AveDS, which
   means our approach could be applied to find meaningful HDMSs as many as
   possible. In addition, the overall analysis for MatchedNum and AveDS
   shows that IOD may be applicable to detecting the highest HDMSs,
   because of the commonly small Num but better AveDS of related
   differential gene expression sites. In summary, our method outperforms
   the two existing methods in identifying the HDMSs across different
   developmental stages and tissues in the whole genome.
Fig. 5.
   [91]Fig. 5
   [92]Open in a new tab
   Performance comparisons among our proposed method, IOD and QDMR for
   each epigenetic mark. The performance was evaluated by MatchedNum and
   AveDs. The higher the Num is, and the lower the Ave is, the better the
   performance in detecting HDMSs. (a) The MatchedNum, (b) The AveDss
Discussion
   In this paper, we proposed a new computational method, DiffEM, based on
   hamming distance to identify the highly dynamic modification sites that
   undergo chromatin changes during human cell differentiation process.
   Different from previous methods that mostly focused on differential
   analysis between two cell types, our method is designed for
   differential analysis of genome-wide epigenetic modification across
   multiple cell types. DiffEM can be broadly applied in a range of
   studies involving various epigenetic marks in different conditions. We
   applied this approach to investigating 6 epigenetic marks of 20 human
   cell types, including hESCs, 4 hESC-derived Lineages and 15 human
   primary tissues. We identified highly dynamic modification sites where
   different cell types exhibit distinctive epigenetic modification
   patterns, and found that these highly dynamic modification sites are
   enriched in the genes are related to cellular development and
   differentiation. The results also demonstrate the strong association
   among the dynamics of different epigenetic marks, consistent with
   previous finding that different epigenetic modifications collaborate
   with each other to consummate complex regulatory functions. Further, we
   evaluated the effectiveness of our method, by correlating the dynamics
   scores of epigenetic modification with the variance of gene expression.
   We compared DiffEM with two existing methods, QDMR and IOD. The
   comparison results indicate the power of our method in quantifying the
   epigenetic dynamics and identifying highly dynamic regions.
Additional file
   [93]Additional file 1^ (404.1KB, pdf)
   Figure S1. Performance comparisons for primary tissues among our method
   DiffEM, IOD and QDMR for each epigenetic mark. (A) The MatchedNum, (B)
   The AveDS. Figure S2. Performance comparisons for the whole group among
   our method DiffEM, IOD and QDMR for each epigenetic mark. (A) The
   MatchedNum, (B) The AveDS. (PDF 405 kb)
Acknowledgements