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The Matrix Method of Representation, Analysis and Classification of Long Genetic Sequences

Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow 121248, Russia
Author to whom correspondence should be addressed.
Academic Editors: Pedro C. Marijuán, Abir U. Igamberdiev and Lin Bi
Information 2017, 8(1), 12;
Received: 6 November 2016 / Revised: 26 December 2016 / Accepted: 28 December 2016 / Published: 17 January 2017
(This article belongs to the Special Issue Symmetry and Information)
PDF [12860 KB, uploaded 17 January 2017]


The article is devoted to a matrix method of comparative analysis of long nucleotide sequences by means of presenting each sequence in the form of three digital binary sequences. This method uses a set of symmetries of biochemical attributes of nucleotides. It also uses the possibility of presentation of every whole set of N-mers as one of the members of a Kronecker family of genetic matrices. With this method, a long nucleotide sequence can be visually represented as an individual fractal-like mosaic or another regular mosaic of binary type. In contrast to natural nucleotide sequences, artificial random sequences give non-regular patterns. Examples of binary mosaics of long nucleotide sequences are shown, including cases of human chromosomes and penicillins. The obtained results are then discussed. View Full-Text
Keywords: matrix genetics; long genetic sequences; symmetries; algebraic biology matrix genetics; long genetic sequences; symmetries; algebraic biology

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Stepanyan, I.V.; Petoukhov, S.V. The Matrix Method of Representation, Analysis and Classification of Long Genetic Sequences. Information 2017, 8, 12.

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