A novel Lie algebra of the genetic code over the Galois field of four DNA bases. (English) Zbl 1100.92021
Summary: Starting from the four DNA bases order in the Boolean lattice, a novel Lie Algebra of the genetic code is proposed. Here, the main partitions of the genetic code table were obtained as equivalence classes of quotient spaces of the genetic code vector space over the Galois field of the four DNA bases. The new algebraic structure shows strong connections among algebraic relationships, codon assignments and physicochemical properties of amino acids. Moreover, a distance defined between codons expresses a physicochemical meaning. It was also noticed that the distance between wild type and mutant codons tends to be small in mutational variants of four genes: human phenylalanine hydroxylase, human \(\beta\)-globin, HIV-1 protease and HIV-1 reverse transcriptase. These results strongly suggest that deterministic rules in genetic code origin must be involved.
MSC:
| 92C40 | Biochemistry, molecular biology |
| 17D92 | Genetic algebras |
| 17B99 | Lie algebras and Lie superalgebras |
Keywords:
genetic code vector space; genetic code algebra; genetic code Lie algebra; gene mutation; tablesReferences:
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