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Ultrametrics in the genetic code and the genome

Author

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  • Dragovich, Branko
  • Khrennikov, Andrei Yu.
  • Mišić, Nataša Ž.

Abstract

Ultrametric approach to the genetic code and the genome is considered and developed. p-Adic degeneracy of the genetic code is pointed out. Ultrametric tree of the codon space is presented. It is shown that codons and amino acids can be treated as p-adic ultrametric networks. Ultrametric modification of the Hamming distance is defined and noted how it can be useful. Ultrametric approach with p-adic distance is an attractive and promising trend towards investigation of bioinformation.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:309:y:2017:i:c:p:350-358
    DOI: 10.1016/j.amc.2017.04.012
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    References listed on IDEAS

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    1. Kanani K. M. Lee, 2009. "The enigma of D′′," Nature, Nature, vol. 462(7274), pages 731-732, December.
    2. 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.
    3. Dimitrijevic, Ivan, 2016. "Cosmological solutions in modified gravity with monomial nonlocality," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 195-203.
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    Cited by:

    1. Antoniouk, Alexandra V. & Oleschko, Klaudia & Kochubei, Anatoly N. & Khrennikov, Andrei Yu., 2018. "A stochastic p-adic model of the capillary flow in porous random medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 763-777.

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