Chaos in DNA evolution

Jacques Bahi (1) , Christophe Guyeux (1) , Antoine Perasso (2)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
2 LCE - Laboratoire Chrono-environnement (UMR 6249)

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.

Domaines: Cryptographie et sécurité [cs.CR]; Calcul parallèle, distribué et partagé [cs.DC]; Technologies Émergeantes [cs.ET]; Informatique ubiquitaire; Système multi-agents [cs.MA]; Modélisation et simulation; Génie logiciel [cs.SE]

Jacques Bahi, Christophe Guyeux, Antoine Perasso. Chaos in DNA evolution. International Journal of Biomathematics (IJB), 2016, 9 (5), pp.1650076 (17). ⟨hal-02131171⟩