A novel algebraic structure of the genetic code over the Galois field of four DNA bases

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A novel algebraic structure of the genetic code is proposed. Here, the principal 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 assignment and physicochemical properties of amino acids. Moreover, a distance function defined between the codon binary representations in the vector space was demonstrated to have a linear behavior respect to physical variables such as the mean of amino acids interaction energies in proteins. It was also noticed that the distance between wild type and mutant codons approach to smaller values in mutational variants of four genes, i.e., human phenylalanine hydroxylase, human β-globin, HIV-1 protease and HIV-1 reverse transcriptase. These results strongly suggest that deterministic rules must be involved in the genetic code origin.

Original languageEnglish (US)
Pages (from-to)27-42
Number of pages16
JournalActa Biotheoretica
Volume54
Issue number1
DOIs
StatePublished - Mar 1 2006

Fingerprint

Genetic Code
genetic code
Vector spaces
Algebraic Structure
Galois field
Amino acids
DNA
codons
Codon
Phenylalanine Hydroxylase
Amino Acids
Globins
human immunodeficiency virus
Human immunodeficiency virus 1
phenylalanine 4-monooxygenase
Vector space
amino acid
Genes
Proteins
Genetic Vectors

All Science Journal Classification (ASJC) codes

  • Biochemistry, Genetics and Molecular Biology(all)
  • Philosophy
  • Environmental Science(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

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title = "A novel algebraic structure of the genetic code over the Galois field of four DNA bases",
abstract = "A novel algebraic structure of the genetic code is proposed. Here, the principal 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 assignment and physicochemical properties of amino acids. Moreover, a distance function defined between the codon binary representations in the vector space was demonstrated to have a linear behavior respect to physical variables such as the mean of amino acids interaction energies in proteins. It was also noticed that the distance between wild type and mutant codons approach to smaller values in mutational variants of four genes, i.e., human phenylalanine hydroxylase, human β-globin, HIV-1 protease and HIV-1 reverse transcriptase. These results strongly suggest that deterministic rules must be involved in the genetic code origin.",
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A novel algebraic structure of the genetic code over the Galois field of four DNA bases. / Sanchez Rodriguez, Robersy; Grau, Ricardo.

In: Acta Biotheoretica, Vol. 54, No. 1, 01.03.2006, p. 27-42.

Research output: Contribution to journalArticle

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