dorsal/arxiv
View SchemaA New DNA Sequences Vector Space on a Genetic Code Galois Field
| Authors | Robersy Sanchez, Luis A. Perfetti, Ricardo Grau, Eberto Morgado |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0412019 |
| URL | https://arxiv.org/abs/q-bio/0412019 |
| Journal | The final version of the paper is published in the journal: MATCH Commun. Math. Comput. Chem. Volume 54 (2005), number 1 , pp. 3-28. |
Abstract
A new n-dimensional vector space of the DNA sequences on the Galois field of the 64 codons (GF(64)) is proposed. In this vector space gene mutations can be considered linear transformations or translations of the wild type gene. In particular, the set of translations that preserve the chemical type of the third base position in the codon is a subgroup which describes the most frequent mutations observed in mutational variants of four genes: human phenylalanine hydroxylase (PAH), human beta globin (HBG), HIV-1 Protease (HIVP) and HIV-1 Reverse transcriptase (HIVRT). Furthermore, an inner pseudo-product defined between codons tends to have a positive value when the codons code to similar amino acids and a negative value when the codons code to amino acids with extreme hydrophobic properties. Consequently, it is found that the inner pseudo-product between the wild type and the mutant codons tends to have a positive value in the mutational variants of the genes: PAH, HBG, HIVP, HIVRT.
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"abstract": "A new n-dimensional vector space of the DNA sequences on the Galois field of\nthe 64 codons (GF(64)) is proposed. In this vector space gene mutations can be\nconsidered linear transformations or translations of the wild type gene. In\nparticular, the set of translations that preserve the chemical type of the\nthird base position in the codon is a subgroup which describes the most\nfrequent mutations observed in mutational variants of four genes: human\nphenylalanine hydroxylase (PAH), human beta globin (HBG), HIV-1 Protease (HIVP)\nand HIV-1 Reverse transcriptase (HIVRT). Furthermore, an inner pseudo-product\ndefined between codons tends to have a positive value when the codons code to\nsimilar amino acids and a negative value when the codons code to amino acids\nwith extreme hydrophobic properties. Consequently, it is found that the inner\npseudo-product between the wild type and the mutant codons tends to have a\npositive value in the mutational variants of the genes: PAH, HBG, HIVP, HIVRT.",
"arxiv_id": "q-bio/0412019",
"authors": [
"Robersy Sanchez",
"Luis A. Perfetti",
"Ricardo Grau",
"Eberto Morgado"
],
"categories": [
"q-bio.QM",
"q-bio.GN"
],
"journal_ref": "The final version of the paper is published in the journal: MATCH\n Commun. Math. Comput. Chem. Volume 54 (2005), number 1 , pp. 3-28.",
"title": "A New DNA Sequences Vector Space on a Genetic Code Galois Field",
"url": "https://arxiv.org/abs/q-bio/0412019"
},
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