Ultrametrics in the genetic code and the genome

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.

20 pages. Accepted for publication in Applied Mathematics and Computation

References in corpus (9)

• p-Adic Mathematical Physics
• A p-Adic Model of DNA Sequence and Genetic Code
• Genetic code on the dyadic plane
• p-Adic Modelling of the Genome and the Genetic Code
• p-Adic and Adelic Cosmology: p-Adic Origin of Dark Energy and Dark Matter
• Cosmological solutions in modified gravity with monomial nonlocality
• Genetic Code and Number Theory
• Lie Superalgebras and the Multiplet Structure of the Genetic Code I: Codon Representations
• p-Adic Structure of the Genetic Code

Cited by in corpus (2)

• Biology is a constructive physics
• Coleman-Weinberg potential in $p$-adic field theory