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Harmonic Fractal-Like Features Related to Epi-Chains of Genomes of Higher and Lower Organisms

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Advances in Intelligent Systems, Computer Science and Digital Economics II (CSDEIS 2020)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1402))

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Abstract

The paper is devoted to a new class of fractal-like and symmetric features revealed in long DNA sequences in eukaryotic and prokaryotic genomes in addition to known data about fractal-like features in molecular genetic systems. This new class was discovered due to the oligomer sums method described. This method can be applied for comparative analysis of numerical peculiarities of any complete genomic DNA nucleotide sequences and its special sparse shortened sequences termed as DNA epi-chains. An application of the method discovered so-called hyperbolic rules of oligomer cooperative organization in genomes. The article presents some results regarding the DNA sequence of the first human chromosome, which show a practical identity of the hyperbolic rules in the complete DNA sequence and its epi-chains of the orders 2, 3, 100. Similar results hold for all human chromosomes and many other eukaryotic and prokaryotic genomes. The results support the fundamental ideas by P. Jordan and E. Schrödinger about quantum biology and living organisms as quantum entities. The described fractal-like features of long DNA sequences show the existence of new classes of symmetric relations in genetic systems and allow developing new model approaches to genetically inherit biological structures and some new methods in biotechnologies and problems of artificial intelligence.

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Acknowledgments

The authors are grateful to their colleagues M. He, Z. Hu, I. Stepanyan, V. Svirin, and G. Tolokonnikov for research assistance.

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Authors and Affiliations

  1. Mechanical Engineering Research Institute, Russian Academy of Sciences, M. Kharitonievsky pereulok, 4, Moscow, Russia

    Sergey V. Petoukhov & Vladimir V. Verevkin

  2. Moscow State Tchaikovsky Conservatory, Bolshaya Nikitskaya, 13/6, Moscow, Russia

    Sergey V. Petoukhov

Authors
  1. Sergey V. Petoukhov
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  2. Vladimir V. Verevkin
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Editors and Affiliations

  1. School of Educational Information Technology, Central China Normal University, Wuhan, China

    Zhengbing Hu

  2. Mechanical Engineering, Russian Academy of Sciences, Moscow, Russia

    Sergey Petoukhov

  3. Halmos College of Natural, Nova Southeastern University, Florida, FL, USA

    Matthew He

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Petoukhov, S.V., Verevkin, V.V. (2021). Harmonic Fractal-Like Features Related to Epi-Chains of Genomes of Higher and Lower Organisms. In: Hu, Z., Petoukhov, S., He, M. (eds) Advances in Intelligent Systems, Computer Science and Digital Economics II. CSDEIS 2020. Advances in Intelligent Systems and Computing, vol 1402. Springer, Cham. https://doi.org/10.1007/978-3-030-80478-7_18

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