title: A novel Lie algebra of the genetic code over the Galois field of four DNA bases.
abstract: 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 equivalent 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.
authors.affiliation: Research Institute of Tropical Roots, Tuber Crops, Bananas and Plantains (INIVIT), Biotechnology Group, Cuba. robersy@uclv.edu.cu
authors.forename: Robersy
authors.initials: R
authors.lastname: Sánchez
authors.forename: Ricardo
authors.initials: R
authors.lastname: Grau
authors.forename: Eberto
authors.initials: E
authors.lastname: Morgado
mesh_terms: D003062:Codon / Q000235:genetics; D004247:DNA / Q000235:genetics; D005815:Genetic Code; D005914:Globins / Q000235:genetics; D016333:HIV Protease / Q000235:genetics; D054303:HIV Reverse Transcriptase / Q000235:genetics; D006801:Humans; D008433:Mathematics; D008957:Models, Genetic; D009154:Mutation; D010651:Phenylalanine Hydroxylase / Q000235:genetics
chemical_list: D003062:Codon; D005914:Globins; D004247:DNA; D010651:Phenylalanine Hydroxylase; D054303:HIV Reverse Transcriptase; D016333:HIV Protease