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Persistent homology-based multiscale Hi-C analysis uncovers TADs-mediated gene regulation
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  • Published: 17 May 2026

Persistent homology-based multiscale Hi-C analysis uncovers TADs-mediated gene regulation

  • Zhen Chiang1 &
  • Yue Wu1 

Scientific Reports (2026) Cite this article

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Subjects

  • Computational biology and bioinformatics
  • Mathematics and computing
  • Systems biology

Abstract

Topologically associating domains (TADs), computationally defined 3D chromatin structures, play pivotal roles in gene expression regulation and genome organization. However, their structural basis and functional implications remain contentious. The interplay between TADs and other multiscale 3D chromatin structures has not been comprehensively computationally characterized. The extent and regulatory scope of TAD-mediated gene expression continue to be debated. Multiscale analyses spanning hierarchical 3D chromatin structures hold promise for establishing unified structural–functional frameworks for TADs. Here, we developed topoHiC—a computational framework enabling simultaneous identification of TADs and chromatin loops from Hi-C contact matrices via persistent homology. Benchmarking analyses demonstrated improved performance of topoHiC compared to four previously published loop callers and six TAD callers. We applied topoHiC to explore multiscale 3D chromatin remodeling and showed that spatial proximity relative to TAD boundaries could modulate differential gene expression probability. We proved the potential capacity of multiscale 3D structures to predict differential gene expression through a generalized regression model. Our findings demonstrated the functional roles of TADs as architectural compartmentalization through establishing structural relationships between TADs and chromatin loops and exploring inside genes and truncated genes respectively.

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Abbreviations

TADs:

Topologically associating domains

TAD callers:

Computational tools that detect TADs

Loop callers:

Computational tools that detect chromatin loops

H1 loop:

A topological term referring to dimension 1 homology group, which are loops with holes

Genomic bin:

A chromatin segment whose length depends on the Hi-C resolution

cCREs:

Candidate cis-regulatory elements

APA:

Aggregate peak analysis

JI:

Jaccard Index

CDs:

Changed domains. TADs with changed boundaries

non-CDs:

Non-changed domains. TADs with non-changed boundaries

DEGs:

Differentially expressed genes

non-DEGs:

Non-differentially expressed genes

IGs:

Inside genes

TGs:

Truncated genes

OGs:

Outside genes

TSS:

Transcription start site

LLS:

Local loop scores. Loop scores of 21 continuous genomic bins centered at the TSS of each gene

Acknowledgements

The computations in this paper were run on the Siyuan-1 cluster supported by the Center for High Performance Computing at Shanghai Jiao Tong University.

Funding

This research was sponsored by (1) Science and Technology Commission of Shanghai Municipality (BI0800044) (2) Fundamental Research Funds for the Central Universities (project number YG2022QN001) (3) Fundamental Research Funds for the Central Universities (project number AF0800084).

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Authors and Affiliations

  1. Department of Bioinformatics and Biostatistics, School of Life Sciences and Biotechnology, Shanghai Jiao Tong University, No. 800 Dongchun Road, Minhang District, Shanghai, 200241, China

    Zhen Chiang & Yue Wu

Authors
  1. Zhen Chiang
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  2. Yue Wu
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Corresponding author

Correspondence to Yue Wu.

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The authors declare no competing interests.

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Cite this article

Chiang, Z., Wu, Y. Persistent homology-based multiscale Hi-C analysis uncovers TADs-mediated gene regulation. Sci Rep (2026). https://doi.org/10.1038/s41598-026-52335-8

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  • Received: 24 October 2025

  • Accepted: 05 May 2026

  • Published: 17 May 2026

  • DOI: https://doi.org/10.1038/s41598-026-52335-8

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Keywords

  • 3D genome
  • Multiscale analysis
  • Topologically associating domains
  • Persistent homology
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Collection

Computational biology and mathematical modelling of biological systems

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