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Transmission of intra-cellular genetic information: A system proposal
Ist Teil von
Journal of theoretical biology, 2014-10, Vol.358, p.208-231
Ort / Verlag
England: Elsevier Ltd
Erscheinungsjahr
2014
Quelle
MEDLINE
Beschreibungen/Notizen
One of the great challenges of the scientific community on theories of genetic information, genetic communication and genetic coding is to determine a mathematical structure related to DNA sequences. In this paper we propose a model of an intra-cellular transmission system of genetic information similar to a model of a power and bandwidth efficient digital communication system in order to identify a mathematical structure in DNA sequences where such sequences are biologically relevant. The model of a transmission system of genetic information is concerned with the identification, reproduction and mathematical classification of the nucleotide sequence of single stranded DNA by the genetic encoder. Hence, a genetic encoder is devised where labelings and cyclic codes are established. The establishment of the algebraic structure of the corresponding codes alphabets, mappings, labelings, primitive polynomials (p(x)) and code generator polynomials (g(x)) are quite important in characterizing error-correcting codes subclasses of G-linear codes. These latter codes are useful for the identification, reproduction and mathematical classification of DNA sequences. The characterization of this model may contribute to the development of a methodology that can be applied in mutational analysis and polymorphisms, production of new drugs and genetic improvement, among other things, resulting in the reduction of time and laboratory costs.
•New mathematical model of an intra-cellular transmission system of genetic information.•Use of geometrically uniform codes in the identification and classification of DNA sequences.•Accuracy of the proposed model is fully verified by the DNA sequence generation algorithm.•Technique for analyzing biosystems, mutations and polymorphisms, production of new drugs, etc.