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Symmetry: Culture and Science
Volume 31, Number 1, pages 105-112 (2020)
https://doi.org/10.26830/symmetry_2020_1_105

BISYMMETRIC MATRICES AND SYMMETROLOGIC RESEARCHES IN GENETIC BIOMECHANICS

Sergey V. Petoukhov^1*, Vladimir V. Verevkin²

¹ Address: Mechanical Engineering Research Institute, Russian Academy of Sciences, M. Kharitonievsky per., 4, Moscow, 101990, Russia
E-mail: spetoukhov@gmail.com, http://petoukhov.com

² Address: Sberbank RF, Kutuzovsky prospect, 32, korp. 1, Moscow, 121170, Russia
E-mail: mr.and.mrs.rope@gmail.com

^* corresponding author

Abstract: Symmetrologic approaches play one of the foundation roles in mathematical natural sciences. The article is devoted to applications of bisymmetric (2n*2n)-matrices to model and study symmetrical features of DNA alphabets and also rules of percentages in content of long DNA sequences. Such bisymmetric matrices are known in mathematics as bisymmetric doubly stochastic matrices and as matrix representations of hypercomplex 2n-dimensional numbers. The discovery of the importance of this type of matrices for modelling genetic structures provides new opportunities for symmetrologic applications and for the mutual enrichment of different sciences.

Keywords: DNA, bisymmetric doubly stochastic matrix, unitary matrix, double number

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