On Continuity of Evolution of Amino Acids

Continuity plays a crucial role in any discussion on evolution. A nearness relation in the phenotype space allows distinguishing continuous evolution from discontinuous one. The genotype-phenotype map plays a crucial role in evolutionary biology. In this paper, we have investigated continuity in the evolution of amino acids. Nearness relations in the space of amino acids as well as in the set of codons are introduced. Here any codon is a genotype, and the corresponding amino acid is the phenotype. We examined the continuity of the genotype-phenotype map with respect to different neighbourhood structures of amino acids.