A Mathematical Model for the Genetic Code(s) Based on Fibonacci Numbers and their qAnalogues

Volume 13 No 3 (2015)

Tidjani Négadi

DOI: 10.14704/nq.2015.13.3.850

Abstract

This work aims at showing the relevance and the applications possibilities of the Fibonacci sequence, and also its q-deformed or “quantum” extension, in the study of the genetic code(s). First, after the presentation of a new formula, an indexed double Fibonacci sequence, comprising the first six Fibonacci numbers, is shown to describe the 20 amino acids multiplets and their degeneracy as well as a characteristic pattern for the 61 meaningful codons

Keywords

genetic code, Fibonacci numbers, degeneracy, atom-numbers, q-Fibonacci numbers, genetic codes

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