Mathematical Modeling of Deterministic Systems: Insights from the Tenneti Theory

Volume: 10    Issue: 2

Year of Publication: 2025

Pages: (8-17)

Authors: Tenneti Vijay Kumar, V.S. Rathnakar David

DOI: https://doi.org/10.5281/zenodo.15574438

Download Full Text (PDF)

Abstract

Pair wise nucleotides1 modelling act is a significant task in biological systems. This modelling act is crystal clear innovative mathematical act. It is based on attraction between nucleotides, basic arrangement of pattern and logics are taken from nature. Continuous modelling in the pair-wise nucleotides are stable, dynamic, spatial, periodic, auto assemblies, Chaotic and deterministic, it is possible to use both continuous and discrete modelling to interpret microbial behavior. In this version modelling are attached and detached due to thermodynamic attraction force between nucleotides and Chaotic order. It is a good mechanistic modelling act with clear predicting values. It explains various features of system like reverse patterns or biological patterns, modelling act and types of acts, existence and expanding cycles, how 24 micro units (pair wise nucleotides) are generated in the system, separating resulting patterns into groups, relationship with in group and between groups. micro-units, sub units, units, genetic units and pair wise modelling on DNA. How only 5 groups of micro units shall be combining combination and form into genetic code out of 6 groups? This modelling is aims to develop and use efficient algorithms, data structure, visualization communication tools with goal of computer modelling of biological systems. Equating this same modelling system is not possible in theory of probability2 in random3 manner. It creates more doubts than answers because theory of probability is not having perfect mathematical logic.

References

1. C. H. Papadimitriou, Computational Complexity, Addison-Wesley, 1994, ISBN: 0-201-53082-1.

2. A. Cobham, "The intrinsic computational difficulty of functions," Proc. Logic, Methodology, and Philosophy of Science II, North Holland, 1965.

3. P. Diaconis, Group Representation in Probability and Statistics (Lecture Notes), 1988.

4. M. Sipser, Introduction to the Theory of Computation, Course Technology Inc., 2006, ISBN: 0-619-21764-2.

5. W. R. Hamilton, "Account of the Icosian Calculus," Proceedings of the Royal Irish Academy, vol. 6, pp. 415-416, 1858.

6. "Amino Acid and Codons Table," CBS, available at: http://www.cbs.dtu.dk/course/27619/codon.html.

7. "Chaos theory," accessed from http://en.wikipedia.org/wiki/Chaos_theory.

8. The Christian B. Anfinsen Papers, Profiles in Science, National Library of Medicine.

9. Christian Anfinsen Papers (1939-1999), National Library of Medicine finding aid.

10. E. Schrödinger, "What is Life?; The Physical Aspect of Living Cell," lectures delivered at Trinity College, Dublin, under the auspices of the Dublin Institute for Advanced Studies, Feb. 1943, 1944.

11. D. J. Bennett, Randomness, Harvard University Press, 1998, ISBN: 0-674-10745-4.

12. A. Van Zuylen and F. Schalekamp, "The Achilles’ Heel of the GSR Shuffling: A Note on New Age Solitaire," Probability in the Engineering and Informational Sciences, vol. 18, no. 3, pp. 315-328, 2004, doi: 10.1017/S0269964804183034.A. Van Zuylen and F. Schalekamp, "The Achilles’ Heel of the GSR Shuffling: A Note on New Age Solitaire," Probability in the Engineering and Informational Sciences, vol. 18, no. 3, pp. 315-328, 2004, doi: 10.1017/S0269964804183034.

13. A. Nakabachi et al., "Endosymbiotic genome reduction in Buchnera and other bacteria," Science, vol. 314, p. 267, 2006; V. Pérez-Brocal et al., Science, vol. 314, pp. 312-313, 2006; A. C. Forster et al., "Construction of synthetic life forms," Nature Molecular Systems Biology, vol. 2, 2006, doi: 10.1038/msb4100090.

Keywords

RHS Modeling. LHS Modelling. Existence cycle. Existence number, Expanding cycle. Expanding number. Micro unit. Sub unit. Unit. Genetic unit.