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3D chromosome modeling with semi-definite programming and Hi-C data.

Zhizhuo Zhang1, Guoliang Li, Kim-Chuan Toh

  • 11 School of Computing, National University of Singapore , Singapore, Singapore .

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|November 8, 2013
PubMed
Summary

Scientists can now model the 3D genome structure using Hi-C data. ChromSDE, a new computational method, accurately reconstructs these structures and reveals biological insights.

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Area of Science:

  • Genomics
  • Computational Biology
  • Structural Biology

Background:

  • Genomes were historically viewed as linear, but chromosome conformation capture (3C) technologies like Hi-C reveal genome-wide loci contact frequencies.
  • Hi-C data indicates that distant loci can interact, suggesting genomes form three-dimensional (3D) structures within the nucleus.

Purpose of the Study:

  • To computationally model the 3D chromosomal structure from Hi-C data.
  • To develop a robust and accurate method for 3D genome structure reconstruction.

Main Methods:

  • Developed ChromSDE, a deterministic method using semi-definite programming to fit observed Hi-C data.
  • Employed golden section search to determine the contact frequency to spatial distance conversion parameter.
  • Introduced a consensus index to assess data for single or mixed structural populations.

Main Results:

  • ChromSDE guarantees correct structure recovery in noise-free scenarios.
  • Demonstrated theoretically and empirically that the contact frequency to spatial distance conversion parameter varies with resolution.
  • Showed ChromSDE significantly outperforms existing methods in accuracy and robustness using simulation and real Hi-C data.

Conclusions:

  • ChromSDE provides a powerful computational tool for modeling 3D genome structures from Hi-C data.
  • The consensus index aids in interpreting the nature of the genomic structural ensemble.
  • Predicted 3D structures can lead to novel biological discoveries.