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Probing the linearity and nonlinearity in DNA sequences

Author

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  • Tsonis, Anastasios A
  • Heller, Fred L
  • Tsonis, Panagiotis A

Abstract

In this paper, we apply the principles of information theory that relate to the definition of nonlinear predictability, which is a measure that describes both the linear and nonlinear components of a system. By comparing this measure to a measure of linear predictability, one can assess whether a given system has a strong linear or a strong nonlinear component. This provides insights as to whether the system should be modeled by a nonlinear or a linear model. We apply these ideas to DNA sequences. Our results, which extend previous results on this issue indicate that all DNA sequences (coding and noncoding) exhibit strong nonlinear structure. At the same time the results provide insights to understand DNA structure and possible clues about evolutionary mechanisms.

Suggested Citation

  • Tsonis, Anastasios A & Heller, Fred L & Tsonis, Panagiotis A, 2002. "Probing the linearity and nonlinearity in DNA sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(3), pages 458-468.
    • Handle: RePEc:eee:phsmap:v:312:y:2002:i:3:p:458-468
    DOI: 10.1016/S0378-4371(02)00859-2
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    References listed on IDEAS

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    1. Kenneth H. Wolfe & Denis C. Shields, 1997. "Molecular evidence for an ancient duplication of the entire yeast genome," Nature, Nature, vol. 387(6634), pages 708-713, June.
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    Cited by:

    1. Tsonis, Anastasios A. & Tsonis, Panagiotis A., 2005. "Exploring nonlinearity to identify genes and intergenic regions in genomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 339-348.
    2. Jaksic, Vesna & Mandic, Danilo P. & Karoumi, Raid & Basu, Bidroha & Pakrashi, Vikram, 2016. "Estimation of nonlinearities from pseudodynamic and dynamic responses of bridge structures using the Delay Vector Variance method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 100-120.

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