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Gene expression from 2-adic dynamical systems

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Abstract

We perform geometrization of genetics by representing genetic information by points of the 4-adic information space. By a 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 the 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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Authors and Affiliations

  1. International Center for Mathematical Modeling in Physics, Engineering and Cognitive Sciences, Växjö University, S-351 95, Växjö, Sweden

    Andrei Yu. Khrennikov

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  1. Andrei Yu. Khrennikov
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Correspondence to Andrei Yu. Khrennikov.

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Khrennikov, A.Y. Gene expression from 2-adic dynamical systems. Proc. Steklov Inst. Math. 265, 131–139 (2009). https://doi.org/10.1134/S0081543809020114

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  • DOI: https://doi.org/10.1134/S0081543809020114

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