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In the present work, 16 genetic code doublets and their cognate amino acids in the genetic code are fitted into a polyhedron model. Based on the structural regularity in nucleobases, and by using a series of common-sense topological…

Biomolecules · Quantitative Biology 2007-05-23 Chi Ming Yang

The genetic code is the function from the set of codons to the set of amino acids by which a DNA sequence encodes proteins. Since the codons also influence the shape of the DNA molecule itself, the same sequence that encodes a protein also…

Other Quantitative Biology · Quantitative Biology 2020-03-04 Alex Kasman , Brenton LeMesurier

A representation of the genetic code as a six-dimensional Boolean hypercube is proposed. It is assumed here that this structure is the result of the hierarchical order of the interaction energies of the bases in codon-anticodon recognition.…

Soft Condensed Matter · Physics 2007-05-23 Miguel A. Jimenez-Montano , Carlos R. de la Mora-Basanez , Thorsten Poeschel

The present paper is devoted to foundations of p-adic modelling in genomics. Considering nucleotides, codons, DNA and RNA sequences, amino acids, and proteins as information systems, we have formulated the corresponding p-adic formalisms…

Other Quantitative Biology · Quantitative Biology 2010-12-01 Branko Dragovich , Alexandra Dragovich

Using basic properties of p-adic numbers, we consider a simple new approach to describe main aspects of DNA sequence and genetic code. Central role in our investigation plays an ultrametric p-adic information space which basic elements are…

Genomics · Quantitative Biology 2010-12-01 Branko Dragovich , Alexandra Dragovich

In several recent papers new gene-detection algorithms were proposed for detecting protein-coding regions without requiring learning dataset of already known genes. The fact that unsupervised gene-detection is possible closely connected to…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. N. Gorban , A. Yu. Zinovyev , T. G. Popova

We introduce the simple parametrization for the space of codons (triples of nucleotides) by 8\times 8 table. This table (which we call the dyadic plane) possesses the natural 2-adic ultrametric. We show that after this parametrization the…

Quantitative Methods · Quantitative Biology 2009-11-13 A. Yu. Khrennikov , S. V. Kozyrev

A plausible architecture of an ancient genetic code is derived from an extended base triplet vector space over the Galois field of the extended base alphabet {D, G, A, U, C}, where the letter D represents one or more hypothetical bases with…

Genomics · Quantitative Biology 2008-09-23 Robersy Sanchez , Ricardo Grau

The present work is devoted to describe a set of rules explaining the discriminating versus non-discriminating behavior of the di-basic stages and to characterize the role of each base in determining such a behavior. Bases are analyze as…

Optimization and Control · Mathematics 2007-05-23 Edmundo Rofman , Melina Rapacioli , Vladimir Flores

In a certain way, this paper presents the continuation of the previous one which discussed the harmonic structure of the genetic code (Rakocevic, 2004). Several new harmonic structures presented in this paper, through specific unity and…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Miloje M. Rakocevic

The paper represents three supplements to the source paper, q-bio/0610044 [q-bio.OT], with three new series of harmonic structures of the genetic code, determined by Gauss arithmetical algorithm; by Table of Minimal Adding, as in…

Other Quantitative Biology · Quantitative Biology 2018-02-16 Miloje M. Rakocevic

A hypothesis of the evolution of the genetic code is proposed, the leading mechanism of which is the nucleotide spontaneous damage leading to AT-enrichment of the genome. The hypothesis accounts for stability of the genetic code towards…

Biomolecules · Quantitative Biology 2008-05-06 Denis A. Semenov

Rich information on the prebiotic evolution is still stored in contemporary genomic data. The statistical mechanism at the sequence level may play a significant role in the prebiotic evolution. Based on statistical analysis of genome…

Other Quantitative Biology · Quantitative Biology 2018-07-12 Dirson Jian Li

The idea of the evolution of the genetic code from the CG to the CGUA alphabet has been developed further. The assumption of the originally triplet structure of the genetic code has been substantiated. The hypothesis of the emergence of…

Biomolecules · Quantitative Biology 2008-04-29 Denis A. Semenov

This work aims at showing the relevance and the applications possibilities of the Fibonacci sequence, and also its q-deformed or quantum extension, in the study of the genetic code(s). First, after the presentation of a new formula, an…

Other Quantitative Biology · Quantitative Biology 2015-10-06 Tidjani Negadi

The structure of the genetic code is discussed in formal terms. A rectangular table of the code ("the code matrix"), whose properties reveal its arithmetical content tagged with the information symbols in several notations. New parameters…

Other Quantitative Biology · Quantitative Biology 2009-07-22 Felix Filatov

In this work it is shown that 20 canonical amino acids (AAs) within genetic code appear to be a whole system with strict AAs positions; more exactly, with AAs ordinal number in three variants; first variant 00-19, second 00-21 and third…

Other Quantitative Biology · Quantitative Biology 2015-06-26 Zvonimir M. Damjanovic , Miloje M. Rakocevic

The codons, sixtyfour in number, are distributed over the coding parts of DNA sequences. The distribution function is the plot of frequency-versus-rank of the codons. These distributions are characterised by parameters that are almost…

Biological Physics · Physics 2009-11-07 A. Som , S. Chattopadhyay , J. Chakrabarti , D. Bandyopadhyay

In this article we count the number of generalized Reed-Solomon (GRS) codes of dimension k and length n, including the codes coming from a non-degenerate conic plus nucleus. We compare our results with known formulae for the number of…

Information Theory · Computer Science 2016-11-15 Peter Beelen , David Glynn , Tom Høholdt , Krishna Kaipa

Algebraic properties of the genetic code are analyzed. The investigations of the genetic code on the basis of matrix approaches ("matrix genetics") are described. The degeneracy of the vertebrate mitochondria genetic code is reflected in…

Quantitative Methods · Quantitative Biology 2008-06-06 Sergey V. Petoukhov