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.
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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)
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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
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DOI: https://doi.org/10.1007/978-3-031-36118-0_27
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