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Chaos in DNA evolution

Jacques M. Bahi

Institut FEMTO-ST, Université Bourgogne Franche-Comté, 25000 Besançon, France

E-mail Address: jacques.bahi@univ-fcomte.fr

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Christophe Guyeux

Institut FEMTO-ST, Université Bourgogne Franche-Comté, 25000 Besançon, France

E-mail Address: christophe.guyeux@univ-fcomte.fr

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, and

Antoine Perasso

UMR Chrono-Environnement, Université Bourgogne Franche-Comté, 25000 Besançon, France

E-mail Address: antoine.perasso@univ-fcomte.fr

Corresponding author.

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https://doi.org/10.1142/S1793524516500765Cited by:5 (Source: Crossref)

Abstract

In this paper, we explain why the chaotic mutation (CM) model of J. M. Bahi and C. Michel (2008) simulates the genes mutations over time with good accuracy. It is firstly shown that the CM model is a truly chaotic one, as it is defined by Devaney. Then, it is established that mutations occurring in genes mutations have indeed a same chaotic dynamic, thus making relevant the use of chaotic models for genomes evolution. Transposition and inversion dynamics are finally investigated.

Keywords:

AMSC: 37N25, 92D15, 92D20

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