2013
DOI: 10.1103/physrevlett.111.118102
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Revealing Long-Range Interconnected Hubs in Human Chromatin Interaction Data Using Graph Theory

Abstract: We use graph theory to analyze chromatin interaction (Hi-C) data in the human genome. We show that a key functional feature of the genome--"master" replication origins--corresponds to DNA loci of maximal network centrality. These loci form a set of interconnected hubs both within chromosomes and between different chromosomes. Our results open the way to a fruitful use of graph theory concepts to decipher DNA structural organization in relation to genome functions such as replication and transcription. This qua… Show more

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Cited by 41 publications
(42 citation statements)
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References 46 publications
(53 reference statements)
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“…Noting that the contact map is equivalent to the weighted adjacency matrix A of an undirected graph G (Boulos et al, 2013), an alternative graphical representation is obtained. Here, nodes n i represent genomic regions and weighted edges e ( n i ,  n j ,  w ij ) represent the observed frequency w ij of 3C read-pairs linking regions n i and n j .…”
Section: Methodsmentioning
confidence: 99%
“…Noting that the contact map is equivalent to the weighted adjacency matrix A of an undirected graph G (Boulos et al, 2013), an alternative graphical representation is obtained. Here, nodes n i represent genomic regions and weighted edges e ( n i ,  n j ,  w ij ) represent the observed frequency w ij of 3C read-pairs linking regions n i and n j .…”
Section: Methodsmentioning
confidence: 99%
“…This demonstrates that, at the Mb-scale, the early initiation euchromatin zones at U/N-domains borders actually interact with the late replicating heterochromatin central part. As recently shown using a graph theoretical approach (Boulos et al, 2013), these "master" replication origins are long-range interconnected hubs of chromatin interactions both within and between different chromosomes. The additional observation that the remarkable gene organization previously revealed in skew-N domains , with an over representation of highly expressed genes nearby domain borders, is also present in the MRT-U domains of every cell lines (Julienne et al, 2013a,b;Baker et al, 2012a), sheds light on these U/N domains as chromatin units of highly coordinated regulation of transcription and replication Hyrien et al, 2013).…”
Section: Introductionmentioning
confidence: 96%
“…A Hi-C co-localisation frequency matrix is positive and symmetric, it can thus be interpreted as the adjacency matrix of the genome interaction network where the nodes are the chromosome loci (typically non-overlapping windows) and the edges reflect the co-localisation frequency between these regions. This justifies the use of concepts and tools from graph theory to analyse Hi-C data [28, 30, 33, 34, 3638]. This representation depends on genome assembly only up to the scale used to define the Hi-C matrix, the columns/rows of the Hi-C matrix can be permuted without affecting the output of graph algorithms.…”
Section: Introductionmentioning
confidence: 99%