Abstract
The article is devoted to the connection of the ancient principle “like begets like” with the emergent algebraic properties of a complex of a lot of mutually related binary oppositions in the genetic code system (in addition to the known particular connection of this principle with the replication phenomenon in double-stranded DNA). This holistic complex is analyzed in its algebra-matrix representation. Emergence algebraic properties of this complex are firstly studied and revealed on the basis of a matrix-algebraic approach. Appropriate families of algebra-genetic matrices have features for mutual replications of their matrices. It gives a new approach for understanding the important role of the above-named principle in the genetics and genetically inherited physiological systems and also for further development of algebraic biology.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Teilhard de Chardin, P.: The Human Phenomenon. Brighton: Sussex Academic (1999)
Capra, F.: The Tao of Physics: An Exploration of the Parallels Between Modern Physics and Eastern Mysticism. Shambhala Publications Inc, New Jersey (2000)
Chapeville, F., Haenni, A.-L.: Biosynthese des proteins. Hermann Collection, Paris Methodes (1974). (in French)
Bank, E.: How much time does it take for a DNA molecule to replicate? - sciencing.com.https://sciencing.com/much-time-dna-molecule-replicate-21660.html. Accessed 8 Nov 2022
Petoukhov, S.V.: Matrix genetics, algebras of genetic code, noise immunity. Moscow, RCD, p. 316 (2008). (in Russian). ISBN 978-5-93972-643-6
Hu, Z.B., Petoukhov, S.V., Petukhova, E.S.: I-Ching, dyadic groups of binary numbers and the geno-logic coding in living bodies. Prog. Biophys. Mol. Biol. 131, 354–368 (2017)
Petoukhov, S.V., He, M. Symmetrical analysis techniques for genetic systems and bioinformatics: advanced patterns and applications. Hershey, USA: IGI Global (2010)
Petoukhov, S.V., Svirin, V.I.: Stochastic rules in nucleotide sequences in genomes of higher and lower organisms. IJMSC 7(2), 1–13 (2021). https://doi.org/10.5815/ijmsc.2021.02.01
Harmut, H.F.: Information Theory Applied to Space-Time Physics. The Catholic University of America, DC, Washington (1989)
Rumer, Y.: Codon systematization in the genetic code. Dokl. Akad. Nauk SSSR 183(1), 225–226 (1968)
Fimmel, E., Strüngmann, L.: Yury Borisovich Rumer and his ‘biological papers’ on the genetic code. Phil. Trans. R. Soc. A 374, 20150228 (2016). https://doi.org/10.1098/rsta.2015.0228
Petoukhov, S.V.: Binary oppositions, algebraic holography and stochastic rules in genetic informatics. Biosystems 221, 104760 (2022). https://doi.org/10.1016/j.biosystems.2022.104760
Petoukhov, S.V.: Hyperbolic numbers in modeling genetic phenomena. Preprints 2019, 2019080284 (2020). https://doi.org/10.20944/preprints201908.0284.v4
Petoukhov, S.V.: The principle “like begets like” in molecular and algebraic-matrix genetics. Preprints 2022, 2022110528 (2022). https://doi.org/10.20944/preprints202211.0528.v2
Ganguly, K.K., Asad, M., Sakib, K.: Decentralized self-adaptation in the presence of partial knowledge with reduced coordination overhead. IJITCS 14(1), 9–19 (2022)
Lone, S.A., Mir, A.H.: Smartphone-based biometric authentication scheme for access control management in client-server environment. IJITCS 14(4), 34–47 (2022)
Hamd, M.H., Ahmed, S.K.: Biometric system design for Iris recognition using intelligent algorithms. IJMECS 10(3), 9–16 (2018)
Hissain, A., Muhammad, Y.S., Sajid, M.N.: An efficient genetic algorithm for numerical function optimization with two new crossover operators. IJMSC 4(4), 42–55 (2018)
Almutiri, T., Nadeem, F.: Markov model applications in natural language processing: a survey. IJITCS 14(2), 1–16 (2022)
Ferrari, P.F., Rizzolatti, G.: Mirror neuron research: the past and the future. Philos. Trans. R Soc. Lond. B Biol. Sci. 369(1644), 20130169 (2014)
Heyes, C.M.: Where do mirror neurons come from? Neurosci. Biobehav. Rev. 34(4), 575–583 (2010)
Heisenberg, W.: Physics and Philosophy: The Revolution in Modern Science, Penguin Classics (2000)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Petoukhov, S.V. (2023). New About the Principle “Like Begets Like” in Genetics. In: Hu, Z., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education VI. ICCSEEA 2023. Lecture Notes on Data Engineering and Communications Technologies, vol 181. Springer, Cham. https://doi.org/10.1007/978-3-031-36118-0_27
Download citation
DOI: https://doi.org/10.1007/978-3-031-36118-0_27
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-36117-3
Online ISBN: 978-3-031-36118-0
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)