CCA-2632 Original Scientific Paper On Circular Coding Properties of Gene and Protein Sequences

The algorithms and equations that define and link circular coding properties of the genetic code and amino acid structural properties are derived according to the model of Cantor dynamics based automaton. It is shown that the model defines a unifying concept of the genetic code, which incorporates Crick's code without comma and the evolutionary code concept. Arithmetic for codes is defined via the number theory results in coding theory, Smale's horseshoe map and the dynamics on fractal lattices. The method has been de-noted SCA (Symbolic Cantor Algorithm) and defined with respect to the principles of Molecular Recognition Theory, Grafstein's hypo-thesis of the stereochemical origin of the genetic code and Sie-mion's mutation ring. Underlying Fibonacci dynamics is extracted and mathematically defined considering the Cantor set and Farey tree codon and amino acid projections. Two digit specification of the codon positions, by means of the binary group subdivision, is particularly analysed with respect to octal coding and defined ac-cording to the purine-pyrimidine, amino-keto and strong-week H bonding discrimination principles