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Coupled intermittent maps modeling the statistics of genomic sequences: A network approach

Astero Provata1,2 and Christian Beck2

  • 1Laboratory of Statistical Mechanics and Nonlinear Dynamics, National Center for Scientific Research “Demokritos,” 15310 Athens, Greece
  • 2School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS,UK

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Phys. Rev. E 86, 046101 – Published 1 October, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.046101

Abstract

The dynamics of coupled intermittent maps is used to model the correlated structure of genomic sequences. The use of intermittent maps, as opposed to other simple chaotic maps, is particularly suited for the production of long-range correlation features which are observed in the genomic sequences of higher eucaryotes. A weighted network approach to symbolic sequences is introduced, and it is shown that coupled intermittent polynomial maps produce degree and link size distributions with power-law exponents similar to the ones observed in real genomes. The proposed network approach to symbolic sequences is generic and can be applied to any symbol sequence (artificial or natural).

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Phys. Rev. E 86, 046101– Published 1 October, 2012
  • Received 10 May 2012

©2012 American Physical Society

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