The fourfold way of the genetic code
Autor: | M.A. Jiménez-Montaño |
---|---|
Rok vydání: | 2009 |
Předmět: |
Statistics and Probability
Base Sequence Models Genetic Group (mathematics) Klein four-group Applied Mathematics Modulo Decision Trees General Medicine Genetic code General Biochemistry Genetics and Molecular Biology Combinatorics Base (group theory) RNA Transfer Genetic Code Modeling and Simulation Transfer RNA Coset Degeneracy (biology) Transfer RNA Aminoacylation Amino Acids Codon Algorithm Algorithms Mathematics |
Zdroj: | Biosystems. 98:105-114 |
ISSN: | 0303-2647 |
DOI: | 10.1016/j.biosystems.2009.07.006 |
Popis: | We describe a compact representation of the genetic code that factorizes the table in quartets. It represents a "least grammar" for the genetic language. It is justified by the Klein-4 group structure of RNA bases and codon doublets. The matrix of the outer product between the column-vector of bases and the corresponding row-vector V(T)=(C G U A), considered as signal vectors, has a block structure consisting of the four cosets of the KxK group of base transformations acting on doublet AA. This matrix, translated into weak/strong (W/S) and purine/pyrimidine (R/Y) nucleotide classes, leads to a code table with mixed and unmixed families in separate regions. A basic difference between them is the non-commuting (R/Y) doublets: AC/CA, GU/UG. We describe the degeneracy in the canonical code and the systematic changes in deviant codes in terms of the divisors of 24, employing modulo multiplication groups. We illustrate binary sub-codes characterizing mutations in the quartets. We introduce a decision-tree to predict the mode of tRNA recognition corresponding to each codon, and compare our result with related findings by Jestin and Soulé [Jestin, J.-L., Soulé, C., 2007. Symmetries by base substitutions in the genetic code predict 2' or 3' aminoacylation of tRNAs. J. Theor. Biol. 247, 391-394], and the rearrangements of the table by Delarue [Delarue, M., 2007. An asymmetric underlying rule in the assignment of codons: possible clue to a quick early evolution of the genetic code via successive binary choices. RNA 13, 161-169] and Rodin and Rodin [Rodin, S.N., Rodin, A.S., 2008. On the origin of the genetic code: signatures of its primordial complementarity in tRNAs and aminoacyl-tRNA synthetases. Heredity 100, 341-355], respectively. |
Databáze: | OpenAIRE |
Externí odkaz: |