Recurrent sequences and the harmonic progression in genetic biomechanics

Abstract

Abstract The article is devoted to the study of new approaches to the development of mathematical models in genetic biomechanics, which studies the structural relationships of the genetic coding system with genetically inherited biological forms. More specifically, we are talking about models based on the recurrent harmonic progression known in science, the universal connection of which with the information sequences of DNA heredity molecules in the genomes of higher and lower organisms was revealed in the laboratory of biomechanical systems research at the IMASH RAS. This progression is associated with fundamental hyperbolic rules for organizing DNA nucleotide sequences of genomes and is represented on a two-dimensional Cartesian plane by a hyperbolic sequence associated with natural logarithms. The latter have long been used in science to adequately model many inherited biological phenomena. The article describes previously unknown connections of natural logarithms with the structure of the molecular genetic system. The problems of modeling biological phenomena in connection with the revealed structural properties of the molecular genetic system are discussed.