Autooscillatory Dynamics in a Mathematical Model of the Metabolic Process in Aerobic Bacteria. Influence of the Krebs Cycle on the Self-Organization of a Biosystem

  • V. I. Grytsay Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
  • A. G. Medentsev G.K. Skryabin Institute of Biochemistry and Physiology of Microorganisms of the RAS
  • A. Yu. Arinbasarova G.K. Skryabin Institute of Biochemistry and Physiology of Microorganisms of the RAS
Keywords: mathematical model, metabolic process, self-organization, deterministic chaos, strange attractor, bifurcation

Abstract

We have modeled the metabolic process running in aerobic cells as open nonlinear dissipative systems. The map of metabolic paths and the general scheme of a dissipative system participating in the transformation of steroids are constructed. We have studied the influence of the Krebs cycle on the dynamics of the whole metabolic process and constructed projections of the phase portrait in the strange attractor mode. The total spectra of Lyapunov exponents, divergences, Lyapunov’s dimensions of the fractality, Kolmogorov–Sinai entropies, and predictability horizons for the given modes are calculated. We have determined the bifurcation diagram presenting the dependence of the dynamics on a small parameter, which defines system’s physical state.

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Published
2020-05-11
How to Cite
Grytsay, V., Medentsev, A., & Arinbasarova, A. (2020). Autooscillatory Dynamics in a Mathematical Model of the Metabolic Process in Aerobic Bacteria. Influence of the Krebs Cycle on the Self-Organization of a Biosystem. Ukrainian Journal of Physics, 65(5), 393. https://doi.org/10.15407/ujpe65.5.393
Section
General physics