Gene expression from polynomial dynamics in the 2-adic information space
Abstract
We perform geometrization of genetics by representing genetic information by points of the 4-adic {\it information space.} By well known theorem of number theory this space can also be represented as the 2-adic space. The process of DNA-reproduction is described by the action of a 4-adic (or equivalently 2-adic) dynamical system. As we know, the genes contain information for production of proteins. The genetic code is a degenerate map of codons to proteins. We model this map as functioning of a polynomial dynamical system. The purely mathematical problem under consideration is to find a dynamical system reproducing the degenerate structure of the genetic code. We present one of possible solutions of this problem.
Cite
@article{arxiv.q-bio/0611068,
title = {Gene expression from polynomial dynamics in the 2-adic information space},
author = {Andrei Khrennikov},
journal= {arXiv preprint arXiv:q-bio/0611068},
year = {2007}
}
Comments
Talk: P-adic information space and gene expression. Int. Conference "Integrative approaches to brain complexity", org.: Grant S., Heintz N., Noebels J., Wellcome Trust