Spectral graph entropy of chromatin: a von Neumann framework for multiscale polymer organization from Hi-C

Hi-C contact maps encode multiscale chromatin folding, yet extracting quantitative and physically interpretable descriptors directly from these matrices remains challenging due to sparsity, depth variation, and the coexistence of loop-, domain-, and compartment-scale interactions. We introduce VECTO...

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Autori principali: Keshava, Kavana (Autore) , Heermann, Dieter W. (Autore) , Bhattacherjee, Arnab (Autore)
Natura: Article (Journal)
Lingua:inglese
Pubblicazione: February 9, 2026
In: The journal of physical chemistry. B, Biophysics, biomaterials, liquids, and soft matter
Year: 2026, Volume: 130, Fascicolo: 9, Pages: 2699-2709
ISSN:1520-5207
DOI:10.1021/acs.jpcb.5c08112
Accesso online:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1021/acs.jpcb.5c08112
Verlag, lizenzpflichtig, Volltext: https://pubs.acs.org/doi/10.1021/acs.jpcb.5c08112#Abstract
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Note sull'autore:Kavana Priyadarshini Keshava, Dieter W. Heermann, Arnab Bhattacherjee
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Riassunto:Hi-C contact maps encode multiscale chromatin folding, yet extracting quantitative and physically interpretable descriptors directly from these matrices remains challenging due to sparsity, depth variation, and the coexistence of loop-, domain-, and compartment-scale interactions. We introduce VECTOR, a graph-spectral framework that quantifies chromatin organization through the von Neumann entropy of the normalized contact-map Laplacian. By constructing distance-banded egographs for each genomic locus, VECTOR provides scale-resolved measures of configurational disorder spanning ∼102-107 bp. Short-range entropy systematically decreases at topological associating domain (TAD) boundaries, whereas long-range entropy captures compartmental reorganization. Entropy scaling reveals shallow exponents (α ≈ 0.04-0.06) and a monotonic compaction-disorder relation linking P(s) scaling to entropy deficits. Polymer simulations with tunable loop strength and A/B contrast confirm predictable spectral and entropic responses to physically meaningful perturbations. VECTOR is reproducible across replicates, robust to resolution and sequencing depth, and remains informative for sparse single-nucleus Hi-C, offering a compact, physics-grounded framework for multiscale chromatin architecture.
Descrizione del documento:Gesehen am 20.05.2026
Descrizione fisica:Online Resource
ISSN:1520-5207
DOI:10.1021/acs.jpcb.5c08112