Genetic code on the dyadic plane

Details Genetic code on the dyadic plane Genetic code on the dyadic plane

2007-01-03

arxiv.org/abs/q-bio/0701007v3

Physica A: Statistical Mechanics and its Applications. 2007. V.381. P.265-272

Biology

Quantitative Biology

Quantitative Methods

Some gap in the construction was fixed

Scientific paper

10.1016/j.physa.2007.03.018

We introduce the simple parametrization for the space of codons (triples of nucleotides) by 8\times 8 table. This table (which we call the dyadic 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. The map of the genetic code defines 2-adic ultrametric on the space of amino acids. We show that hydrophobic amino acids will be clustered in two balls with respect to this ultrametric. Therefore the introduced parametrization of space of codons exhibits the hidden regularity of the genetic code.

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