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

TL;DR

This paper models aerobic bacterial metabolism as a nonlinear dissipative system, analyzing how the Krebs cycle influences self-organization and complex dynamics, including strange attractors and bifurcations.

Contribution

It introduces a mathematical model of bacterial metabolism incorporating the Krebs cycle and analyzes its complex dynamic behavior and bifurcations.

Findings

Identification of strange attractor modes in metabolic dynamics

Calculation of Lyapunov exponents and fractal dimensions

Bifurcation diagram showing parameter-dependent behavior

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.