The inherited information geometric analysis and the genetic sub-alphabets invariant system

International Conference of Young Scientists and Students "Topical Problems of Mechanical Engineering 2018"

Stepanyan, I.^1^2^3 ; Svirin, V.^1^3

Mechanical Engineering Research Institute of RAS, 4, M. Kharitonyevskiy Lane, Moscow

101990, Russia^1

Izmerov Research Institute of Occupational Health of the RAS, 31, Prospect Budennogo, Moscow

105275, Russia^2

Moscow State Conservatory, 13/6 Bolshaya Nikitskaya Street, Moscow

125009, Russia^3

关键词: Biochemical composition;    Molecular genetics;    Nucleotide composition;    Orthogonal coordinates;    Parametric modeling;    Physicochemical parameters;    Visual representations;    Visualization method;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/489/1/012049/pdf
DOI  :  10.1088/1757-899X/489/1/012049

来源: IOP

【 摘 要 】

Examples of invariants in the system of molecular genetic coding are given. Models and methods of algebraic biology based on matrix genetics (Petukhov, 2008) with the transition from matrix algebra to discrete geometry and visualization are presented. Algorithms based on genetic sub-alphabets allow displaying geometrically the biochemical composition of polynucleotide chains in spaces of different dimensions using Walsh orthogonal functions of physicochemical parameters. The visualization method makes it possible to substantiate the relationship between the parameters of DNA and RNA molecules with fractal clusters and geometric mosaics, reveals the orderliness and symmetry of polynucleotides and the noise immunity of their visual representations in the orthogonal coordinate system. A scale-parametric model of nucleic acid visualization is proposed. The developed methods can serve to simplify the perception by researchers of polynucleotide chains by visualizing them in spaces of various dimensions. Examples of visualization of the nucleotide composition of the various species of living organisms genomes are given.