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Genetic code on the diadic plane

Author

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  • Khrennikov, A.Yu.
  • Kozyrev, S.V.

Abstract

We introduce the simple parametrization for the space of codons (triples of nucleotides) by 8×8 table. This table (which we call the diadic plane) possesses the natural 2-adic ultrametric. We show that after this parametrization the genetic code will be a locally constant map of the simple form. The local constancy of this map will describe degeneracy of the genetic code.

Suggested Citation

  • Khrennikov, A.Yu. & Kozyrev, S.V., 2007. "Genetic code on the diadic plane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 265-272.
    • Handle: RePEc:eee:phsmap:v:381:y:2007:i:c:p:265-272
    DOI: 10.1016/j.physa.2007.03.018
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    Cited by:

    1. Khrennikov, Andrei Yu., 2009. "Gene expression from polynomial dynamics in the 2-adic information space," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 341-347.
    2. Khrennikov, Andrei & Yurova, Ekaterina, 2014. "Criteria of ergodicity for p-adic dynamical systems in terms of coordinate functions," Chaos, Solitons & Fractals, Elsevier, vol. 60(C), pages 11-30.
    3. Zúñiga-Galindo, W.A., 2022. "Eigen’s paradox and the quasispecies model in a non-Archimedean framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).
    4. Dragovich, Branko & Khrennikov, Andrei Yu. & Mišić, Nataša Ž., 2017. "Ultrametrics in the genetic code and the genome," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 350-358.

    More about this item

    Keywords

    p-adic metric; Genetic code;

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