A New DNA Sequences Vector Space on a Genetic Code Galois Field

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dc.creatorSanchez, Robersy
dc.creatorPerfetti, Luis A.
dc.creatorGrau, Ricardo
dc.creatorMorgado, Eberto
dc.date2004-12-10
dc.date.accessioned2026-07-07T05:58:48Z
dc.date.available2026-07-07T05:58:48Z
dc.descriptionA 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.
dc.description26 pages, 2 figures. Thesis
dc.identifierhttps://arxiv.org/abs/q-bio/0412019
dc.identifierhttp://arxiv.org/abs/q-bio/0412019
dc.identifierThe final version of the paper is published in the journal: MATCH Commun. Math. Comput. Chem. Volume 54 (2005), number 1 , pp. 3-28.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88499
dc.subjectQuantitative Methods
dc.subjectGenomics
dc.titleA New DNA Sequences Vector Space on a Genetic Code Galois Field
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