Petoukhov’s rules on symmetries in long DNA-texts

Darvas, György

doi:10.26830/symmetry_2018_2_318

Cited by 5 publications

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“…Taking into account the huge number of species and long DNA-texts to be tested in these relations, I propose to launch an international project to study these genetic symmetries. Symmetrion initiates and can take part as a center of such an international project" [Darvas, 2018]. Fig.…”

Section: Some Concluding Remarksmentioning

confidence: 99%

Hyperbolic Rules of the Oligomer Cooperative Organization of Eukaryotic and Prokaryotic Genomes

Petoukhov¹

2020

Preprint

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The author's method of oligomer sums for analysis of oligomer compositions of eukaryotic and prokaryotic genomes is described. The use of this method revealed the existence of general rules for cooperative oligomeric organization of a wide list of genomes. These rules are called hyperbolic because they are associated with hyperbolic sequences including the harmonic progression 1, 1/2, 1/3, .., 1/n. These rules are demonstrated by examples of quantitative analysis of many genomes from the human genome to the genomes of archaea and bacteria. The hyperbolic (harmonic) rules, speaking about the existence of algebraic invariants in full genomic sequences, are considered as candidates for the role of universal rules for the cooperative organization of genomes. The described phenomenological results were obtained as consequences of the previously published author's quantum-information model of long DNA sequences. The oligomer sums method was also applied to the analysis of long genes and viruses including the COVID-19 virus; this revealed, in characteristics of many of them, the phenomenon of such rhythmically repeating deviations from model hyperbolic sequences, which are associated with DNA triplets. In addition, an application of the oligomer sums method are shown to the analysis of the following long sequences: 1) amino acid sequences in long proteins like the protein Titin; 2) phonetic sequences of long Russan literary texts (for checking of thoughts of many authors that phonetic organization of human languages is deeply connected with the genetic language). The topics of the algebraic harmony in living bodies and of the quantum-information approach in biology are discussed.

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Section: Some Concluding Remarksmentioning

confidence: 99%

Hyperbolic Rules of the Oligomer Cooperative Organization of Eukaryotic and Prokaryotic Genomes

Petoukhov¹

2020

Preprint

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“…The presented results reveal the existence of a new broad class of symmetries in eukaryotic and prokaryotic genomes. They are connected with previous rules of a generalized symmetry for collective probabilities of sub-alphabets of n -plets in long DNA sequences, which were described by the author in the article ( Petoukhov, 2018b ) and whose importance were noted in the article “Petoukhov's rules on symmetries in long DNA-texts” ( Darvas, 2018 ). In this article, the head of the International Institute “Symmetrion” (Budapest, Hungary) proposed to launch a corresponding international project: “ Now, Petoukhov's above rules of symmetries are candidates for the role of universal rules of long DNA-texts in living bodies.…”

Section: Some Concluding Remarksmentioning

confidence: 67%

Section: Some Concluding Remarksmentioning

confidence: 99%

Hyperbolic rules of the cooperative organization of eukaryotic and prokaryotic genomes

Petoukhov

2020

Biosystems

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The author's method of oligomer sums for analysis of oligomer compositions of eukaryotic and prokaryotic genomes is described. The use of this method revealed the existence of general rules for the cooperative oligomeric organization of a wide list of genomes. These rules are called hyperbolic because they are associated with hyperbolic sequences including the harmonic progression 1, 1/2, 1/3, .., 1/ n . These rules are demonstrated by examples of quantitative analysis of many genomes from the human genome to the genomes of archaea and bacteria. The hyperbolic (harmonic) rules, speaking about the existence of algebraic invariants in full genomic sequences, are considered as candidates for the role of universal rules for the cooperative organization of genomes. The results concerns additionally the problem of the origin of life. The described phenomenological results were obtained as consequences of the previously published author's quantum-information model of long DNA sequences. The oligomer sums method was also applied to the analysis of long genes and viruses including the COVID-19 virus; this revealed, in characteristics of many of them, the phenomenon of such rhythmically repeating deviations from model hyperbolic sequences, which are associated with DNA triplets. In addition, an application of the oligomer sums method is shown to the analysis of amino acid sequences in long proteins like the protein Titin. The topics of the algebraic harmony in living bodies and of the quantum-information approach in biology are discussed.

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“…Jordan claimed that «life's missing laws were the rules of chance and probability (the indeterminism) of the quantum world that were somehow scaled up inside living organisms» [McFadden, Al-Khalili, 2018]. It is these laws of chance and probability, postulated by Jordan, that we are looking for in our studies of the probabilistic characteristics of long DNA sequences of hydrogen bonds and nitrogenous bases [Petoukhov, 2018a,b;Darvas, 2018]. The article is connected with these results.…”

Section: Introductionmentioning

confidence: 99%

Structural Connections between Long Genetic and Literary Texts

Petoukhov¹

2019

Preprint

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Impressing discoveries in the field of the genetic code have been described by its researchers by means of the terminology borrowed from linguistics and the theory of communications. Leading experts on structural linguistics believe for a long time already that languages of human dialogue were formed not from an empty place, but they are continuation of genetic language or, anyhow, are closely connected with it, confirming the idea of information commonality of organisms. The aticle continues the theme about a connection of linquistic languages with the genetic language. It describes results of comparative study of long Russian literary texts (novels by L.Tolstoy, F.Dostoevsky, A.Pushkin, etc.) and long sequences of hydrogen bonds in double helixes of DNA of different organisms. Formalisms of quantum informatics are used in modeling some of these results taking into account thoughts of many researches about possible using principles of quantum informatics in organisation of living bodies.

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Petoukhov’s rules on symmetries in long DNA-texts

Cited by 5 publications

References 0 publications

Hyperbolic Rules of the Oligomer Cooperative Organization of Eukaryotic and Prokaryotic Genomes

Hyperbolic Rules of the Oligomer Cooperative Organization of Eukaryotic and Prokaryotic Genomes

Hyperbolic rules of the cooperative organization of eukaryotic and prokaryotic genomes

Structural Connections between Long Genetic and Literary Texts

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