30 citations · 86 across the 11 of their papers we have counts for
8 papers · 1 filter
The rules of long DNA-sequences and tetra-groups of oligonucleotides
Sergey Petoukhov
The article represents a new class of hidden symmetries in long sequences of oligonucleotides of single stranded DNA from their representative set. These symmetries are an addition…
The matrix method of representation, analysis and classification of long genetic sequences
Ivan V. Stepanyan, Sergey V. Petoukhov
The article is devoted to a matrix method of comparative analysis of long nucleotide sequences by means of a presentation of each sequence in a form of three digital binary sequenc…
The genetic code, algebra of projection operators and problems of inherited biological ensembles
Sergey Petoukhov
This article is devoted to applications of projection operators to simulate phenomenological properties of the molecular-genetic code system. Oblique projection operators are under…
Dyadic groups, dyadic trees and symmetries in long nucleotide sequences
Sergey V. Petoukhov
The conception of multi-alphabetical genetics is represented. Matrix forms of the representation of the multi-level system of molecular-genetic alphabets have revealed algebraic pr…
The genetic code, 8-dimensional hypercomplex numbers and dyadic shifts
Sergey V. Petoukhov
Matrix forms of the representation of the multi-level system of molecular-genetic alphabets have revealed algebraic properties of this system. Families of genetic (4*4)- and (8*8)-…
Matrix genetics, part 5: genetic projection operators and direct sums
Sergey V. Petoukhov
The article is devoted to phenomena of symmetries and algebras in matrix presentations of the genetic code. The Kronecker family of the genetic matrices is investigated, which is b…
Matrix genetics, part 1: permutations of positions in triplets and symmetries of genetic matrices
Sergey V. Petoukhov
The Kronecker family of the genetic matrices is investigated, which is based on the genetic matrix [C T; A G], where C, T, A, G are the letters of the genetic alphabet. The matrix…
The degeneracy of the genetic code and Hadamard matrices
Sergey V. Petoukhov
The matrix form of the presentation of the genetic code is described as the cognitive form to analyze structures of the genetic code. A similar matrix form is utilized in the theor…