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JOURNALS // Matematicheskoe Modelirovanie i Chislennye Metody // Archive

Mat. Mod. Chisl. Met., 2017 Issue 15, Pages 119–138 (Mi mmcm110)

Stochastic coding models and recognition of structural and statistical characteristics of coding sequences

V. A. Kutyrkina, M. B. Chaleyb

a Bauman Moscow State Technical University
b Institute of Mathematical Problems of Biology RAS, Pushchino, Moskovskaya obl.

Abstract: The paper introduces stochastic models explaining real characteristic regularities of coding regions from genomes of various organisms. Due to the growing volume of data on sequenced genomes, there arises a problem of its computer-aided analysis. By using these models, we developed methods for recognizing the structural and statistical properties of genomic DNA sequences, which can be used to find algorithms and computer programs for the automated processing of large amounts of data. The properties of the proposed stochastic coding models are demonstrated in numerical experiments with binary recoded paragraphs of literary works in English and Italian.

Keywords: profile line of a random string, profile periodic behaviour, periodic behaviour pattern, stochastic codon, multi-polynomial model.

UDC: 519.25

DOI: 10.18698/2309-3684-2017-3-119138



© Steklov Math. Inst. of RAS, 2025