p-Adic Modelling of the Genome and the Genetic Code

Details p-Adic Modelling of the Genome and the Genetic Code p-Adic Modelling of the Genome and the Genetic Code

2007-07-20

arxiv.org/abs/0707.3043v1

The Computer Journal 53 (2010) 432-442

Biology

Quantitative Biology

Other Quantitative Biology

26 pages. Submitted to the Computer Journal for a special issue

Scientific paper

10.1093/comjnl/bxm083

The present paper is devoted to foundations of p-adic modelling in genomics. Considering nucleotides, codons, DNA and RNA sequences, amino acids, and proteins as information systems, we have formulated the corresponding p-adic formalisms for their investigations. Each of these systems has its characteristic prime number used for construction of the related information space. Relevance of this approach is illustrated by some examples. In particular, it is shown that degeneration of the genetic code is a p-adic phenomenon. We have also put forward a hypothesis on evolution of the genetic code assuming that primitive code was based on single nucleotides and chronologically first four amino acids. This formalism of p-adic genomic information systems can be implemented in computer programs and applied to various concrete cases.

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