Abstract

Previous abstract Back to issue content Next abstract
Symmetry: Culture and Science
Volume 35, Number 1, pages 069-077 (2024)
https://doi.org/10.26830/symmetry_2024_1_069

GENETIC VISUAL TECHNOLOGIES AND CELLULAR AUTOMATES

Ivan V. Stepanyan

Mechanical Engineering Research Institute of the Russian Academy of Sciences (IMASH RAN), 4, M. Kharitonyevskiy Pereulok, 101990 Moscow, the Russian Federation.
Email: neurocomp.pro@gmail.com
Web: http://pentagramon.com
ORCID: 0000-0003-3176-5279

Abstract: The phenomenology of self-organization based on the four rules in Conway’s game “Life” and the phenomenology of biological life based on the four nucleotides has several parallels and unresolved issues. A cellular automaton operating on a two-dimensional plane is proposed as a basic object for joint consideration of these phenomena. In one case, its dynamics are set by local/global self-organization rules based on the initial configuration in an automaton of the “Life” type of game. In another case, it is a set of nucleotides in the DNA of a particular organism. The author considers images similar to cellular automata generated by the DNA of real organisms when constructing geometric patterns on a two-dimensional plane by changing the mapping scaling parameter. With increasing scaling parameters, individual clusters emerge for living organisms, which can be located symmetrically.

Keywords: DNA, cellular automates, visual technologies, game of Life, 2-d dynamics.

References:
Aristov V., Stepanyan I. (2022) Hypothesis of Cyclic Structures of Pre-and Consciousness as a Transition in Neuron-like Graphs to a Special Type of Symmetry //Symmetry, 14(3), 505. doi.org/10.3390/sym14030505

Arrighi, P. (2019) An overview of quantum cellular automata. Natural Computing, 18(4), 885-899. doi.org/10.1007/S11047-019-09762-6

Ayubi, P., Setayeshi, S., & Rahmani, A. M. (2020) Deterministic chaos game: a new fractal based pseudo-random number generator and its cryptographic application. Journal of Information Security and Applications, 52, 102472. doi.org/10.1016/j.jisa.2020.102472

Bays, C. (2022) The Game of Life in Three Dimensions, and Other Tessellations. In The Mathematical Artist: A Tribute To John Horton Conway (pp. 191-212). doi.org/10.1007/978-3-031-03986-7_9

Beer, R. D. (2020) Bittorio revisited: structural coupling in the Game of Life. Adaptive Behavior, 28(4), 197-212. doi.org/10.1177/1059712319859907

Bhargava, M. (2020) John Horton Conway. Nature, 582, 27. doi.org/10.1038/d41586-020-01515-1

Bhaumik, A., & Roy, S.K. (2022) Fuzzy matrix game: A fast approach using artificial hybrid neural-net logic-gate switching circuit. Soft Computing, 26(18), 9125-9135. doi.org/10.1007/s00500-022-07346-8

Cohen-McFarlane, M., Dick, K., Green, JR, & Goubran, R. (2021, May) Chaos Game Representation of Audio Signals. In 2021 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) (pp. 1-6). IEEE. 10.1109/I2MTC50364.2021.9459942

Krechetov, M. (2021). Game of life on graphs. arXiv preprint arXiv:2111.01780.

Liolis, O., Sirakoulis, G.C., & Adamatzky, A. (2021). Conway's game of life in quantum-dot cellular automata. Microelectronics Journal, 109, 104972. doi.org/10.1016/j.mejo.2020.104972

Pomorski, K., & Kotula, D. (2023). Thermodynamics in Stochastic Conway Game of Life. arXiv preprint arXiv:2301.03195. doi.org/10.3390/condmat8020047

Seikh, M. R., Karmakar, S., & Nayak, P. K. (2021). Matrix games with dense fuzzy payoffs, International Journal of Intelligent Systems, 36(4), 1770-1799. https://doi.org/10.1002/int.22360

Stepanyan IV, Lednev MY, Aristov VV (2021) Genetic Interpretation of Neurosemantics and Kinetic Approach for Studying Complex Nets: Theory and Experiments // International Conference of Artificial Intelligence, Medical Engineering, Education. Springer, Cham, 13-28. https://doi.org/10.1007/978-3-030-67133-4_2

Stepanyan I.V. (2021) Genometry: Proportions, Music, And Visualization, Symmetry: Culture and Science Vol. 32, no. 4, 469–478. https://doi.org/10.26830/symmetry_2021_4_469

Stepanyan I.V., Petoukhov S.V. The matrix method of representation, analysis and classification of long genetic sequences. http://arxiv.org/pdf/1310.8469.pdf

Stepanyan IV, Lednev MY. Parametric Multispectral Mappings and Comparative Genomics, Symmetry, 2022; 14(12):2517. https://doi.org/10.3390/sym14122517

Stepanyan, I.; Lednev, M. (2022) Spectral Decomposition of Mappings of Molecular Genetic Information in the System Basis of Single Nucleotide Functions, Symmetry, 14, 844. doi.org/10.3390/sym14050844

Turney, P.D. (2020). Symbiosis promotes fitness improvements in the game of life. Artificial Life, 26(3), 338-365. https://doi.org/10.1162/artl_a_00326

Zhou, Q., Qi, S., & Ren, C. (2021). Gene essentiality prediction based on chaos game representation and spiking neural networks. Chaos, Solitons & Fractals, 144, 110649. doi.org/10.1016/j.chaos.2021.110649

Previous abstract Back to issue content Next abstract