Version 1
: Received: 8 February 2024 / Approved: 12 February 2024 / Online: 13 February 2024 (08:15:44 CET)
How to cite:
Petoukhov, S. Cyclic Gray Codes in Modeling Inherited Cyclic Biostructures and Analysis of Statistical Rules of Genomic DNAs. Preprints2024, 2024020713. https://doi.org/10.20944/preprints202402.0713.v1
Petoukhov, S. Cyclic Gray Codes in Modeling Inherited Cyclic Biostructures and Analysis of Statistical Rules of Genomic DNAs. Preprints 2024, 2024020713. https://doi.org/10.20944/preprints202402.0713.v1
Petoukhov, S. Cyclic Gray Codes in Modeling Inherited Cyclic Biostructures and Analysis of Statistical Rules of Genomic DNAs. Preprints2024, 2024020713. https://doi.org/10.20944/preprints202402.0713.v1
APA Style
Petoukhov, S. (2024). Cyclic Gray Codes in Modeling Inherited Cyclic Biostructures and Analysis of Statistical Rules of Genomic DNAs. Preprints. https://doi.org/10.20944/preprints202402.0713.v1
Chicago/Turabian Style
Petoukhov, S. 2024 "Cyclic Gray Codes in Modeling Inherited Cyclic Biostructures and Analysis of Statistical Rules of Genomic DNAs" Preprints. https://doi.org/10.20944/preprints202402.0713.v1
Abstract
This article is devoted to the problem of genetically coding of inherited cyclic structures in biological bodies, whose life activity is based on a great inherited set of mutually coordinated cyclic processes. The author puts forward and arguments the idea that the genetic coding system is capable of encoding inherited cyclic processes because it itself is a system of cyclic codes connected with Boolean algebra of logic. In other words, the physiological processes in question are cyclical because they are genetically encoded by cyclic codes. In support of this idea, the author presents a set of his results on the connection of the genetic coding system with cyclic Gray codes, which are one of many known types of cyclic codes. This opens up the possibility of using for modeling inherited cyclic biostructures those algebraic and logical theories and constructions that are associated with Gray codes and have long been used in engineering technologies: Karnaugh maps, Hilbert curve, Hadamard matrices, Walsh functions, dyadic analysis, etc. Additionally, the connections of these constructions with statistical rules of genomic DNAs and binary-genomic numbers are considered.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
