Gene expression from polynomial dynamics in the 2-adic information space
- 13 January 2009
- journal article
- Published by Elsevier BV in Chaos, Solitons, and Fractals
- Vol. 42 (1), 341-347
- https://doi.org/10.1016/j.chaos.2008.12.012
Abstract
We perform geometrization of genetics by representing genetic information by points of the 4-adic 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.Keywords
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