A new DNA sequences vector space on a genetic code galois field

Robersy Sanchez Rodriguez, Luis A. Perfetti, Ricardo Grau, E. R.Morgado Morales

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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.

Original languageEnglish (US)
Pages (from-to)3-28
Number of pages26
JournalMatch
Volume54
Issue number1
StatePublished - Nov 9 2005

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All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this

Sanchez Rodriguez, R., Perfetti, L. A., Grau, R., & Morales, E. R. M. (2005). A new DNA sequences vector space on a genetic code galois field. Match, 54(1), 3-28.