Universal metric properties of the genetic code (CROSBI ID 86496)
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Štambuk, Nikola
engleski
Universal metric properties of the genetic code
Universal metric properties of the genetic code (i.e. RNA, DNA and protein coding) are defined by means of the nucleotide base representation on the square with vertices U or T = 00, C = 01, G = 10 and A = 11. It is shown that this notation defines Cantor set and Smale horseshoe map representation of the genetic code, classic table arrangement and Siemion one-step mutation ring of the code. Gray code solution to the problem with all codon positions, and an extention to octal coding system are given. Finally, unified concept of the genetic code linked to the Cantor set and horseshoe map is introduced in the form of a classic combinatorial 4 colour necklace model with three horizontal frames of 64 coloured pearls (bases) and vertically hanging decorations of triplets (codons). Three horizontal necklace frames define Crick's code without comma, and vertical necklace decorations define the evolutional code. Thus, the type of the code depends on the level or direction of the observation. Fibonacci dynamics and Cantor set-Farey tree partition of codon and amino acid groups are discussed and explained. This method of genetic code analysis is named SCA procedure.
RNA; DNA; protein; genetic code; Gray code; circular; necklace; Cantor set; horseshoe map; golden mean; Farey tree
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