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Ising-model description of long-range correlations in DNA sequences.

A Colliva1, R Pellegrini2, A Testori1

  • 1Dipartimento di Fisica dell'Università di Torino and I.N.F.N. sez. di Torino, Via Pietro Giuria 1, I-10125 Torino, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Human DNA sequences exhibit universal long-range correlations, modeled by the 1D Ising model. This suggests specific interactions between distant DNA segments, explaining higher eukaryotic DNA structure.

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Area of Science:

  • Genomics
  • Computational Biology
  • Statistical Physics

Background:

  • Understanding long-range correlations in DNA is crucial for deciphering genome organization.
  • Previous models have not fully captured the universal behavior observed at intermediate distances.

Purpose of the Study:

  • To model long-range nucleotide correlations in the human genome.
  • To investigate the universality of these correlations using a physics-based approach.

Main Methods:

  • Application of the long-range one-dimensional (1D) Ising model to human DNA sequences.
  • Analysis of nucleotide correlations across distances ranging from 10^3 to 10^6 base pairs (bp).

Main Results:

  • Demonstrated universal correlation behavior in human DNA for distances between 10^3 and 10^6 bp.
  • Showed that this behavior aligns with the non-mean-field limit of the long-range 1D Ising model.

Conclusions:

  • The observed universal correlations suggest specific interactions between distant DNA regions.
  • These interactions likely play a role in shaping the DNA structure found in higher eukaryotes.
  • The 1D Ising model provides a valuable framework for generating testable hypotheses about DNA sequence interactions.