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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 265, Pages 142–150 (Mi tm828)  
This article is cited in 5 scientific papers (total in 5 papers)

Gene Expression from 2-adic Dynamical Systems

A. Yu. Khrennikov

International Center for Mathematical Modeling in Physics, Engineering and Cognitive Sciences, Växjö University, Växjö, Sweden
Full-text PDF (173 kB) Citations (5)
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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.
Received in September 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 265, Pages 131–139
DOI: https://doi.org/10.1134/S0081543809020114
Bibliographic databases:
UDC: 512.625.5+517.938
Language: English
Citation: A. Yu. Khrennikov, “Gene Expression from 2-adic Dynamical Systems”, Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Trudy Mat. Inst. Steklova, 265, MAIK Nauka/Interperiodica, Moscow, 2009, 142–150; Proc. Steklov Inst. Math., 265 (2009), 131–139
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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