Gene expression from polynomial dynamics in the 2-adic information space

Details Gene expression from polynomial dynamics in the 2-adic information space Gene expression from polynomial dynamics in the 2-adic information space

2006-11-21

arxiv.org/abs/q-bio/0611068v2

Biology

Quantitative Biology

Other Quantitative Biology

Talk: P-adic information space and gene expression. Int. Conference "Integrative approaches to brain complexity", org.: Grant

Scientific paper

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.

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