title: The system-resonance approach in modeling genetic structures.
abstract: The founder of the theory of resonance in structural chemistry Linus Pauling established the importance of resonance patterns in organization of living systems. Any living organism is a great chorus of coordinated oscillatory processes. From the formal point of view, biological organism is an oscillatory system with a great number of degrees of freedom. Such systems are studied in the theory of oscillations using matrix mathematics of their resonance characteristics. This study is devoted to a new approach for modeling genetically inherited structures and processes in living organisms using mathematical tools of the theory of resonances. This approach reveals hidden relationships in a number of genetic phenomena and gives rise to a new class of bio-mathematical models, which contribute to a convergence of biology with physics and informatics. In addition some relationships of molecular-genetic ensembles with mathematics of noise-immunity coding of information in modern communications technology are shown. Perspectives of applications of the phenomena of vibrational mechanics for modeling in biology are discussed.
authors.affiliation: Institute of Machines Studies, Russian Academy of Sciences, 101990 Moscow, Russia. Electronic address: spetoukhov@gmail.com.
authors.forename: Sergey V
authors.initials: SV
authors.lastname: Petoukhov
mesh_terms: D040342:Genetic Structures; D008954:Models, Biological; D008957:Models, Genetic; D008962:Models, Theoretical; D049490:Systems Biology; D014732:Vibration
keywords: Genetics; Noise-immunity coding; Resonances; Tensor product of matrices; Vibrational mechanics