• Corpus ID: 120249435

Chaos in DNA inversions (Draft paper)

  title={Chaos in DNA inversions (Draft paper)},
  author={Jacques M. Bahi and Nathalie C{\^o}t{\'e} and Christophe Guyeux},
  journal={arXiv: Chaotic Dynamics},
This is a draft paper, proving that the inversion process that occurs in DNA mutations, is indeed chaotic as it is defined by the Devaney's theory. 



A model of DNA sequence evolution.

A stochastic model of gene evolution with chaotic mutations.

An Analytical Model of Gene Evolution with 9 Mutation Parameters: An Application to the Amino Acids Coded by the Common Circular Code

This evolutionary model demonstrates that random substitutions in this code $$\mathcal{C}$$ and with particular values for the nine substitutions parameters retrieve after a certain time of evolution a frequency distribution of these 12 amino acids very close to the one coded by the actual genes.

Periodicities in coding and noncoding regions of the genes.

On Devaney's definition of chaos

Chaotic dynamical systems have received a great deal of attention in recent years (see for instance [2], [3]). Although there has been no universally accepted mathematical definition of chaos, the

A stochastic gene evolution model with time dependent mutations

Introduction to Chaotic Dynamical Systems

This thesis develops some of the current definitions of chaos and discusses several quantitative measures of chaos, and serves as a complement to the work done by Philip Beaver, which details chaotic dynamics for discrete systems.