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We have modeled the metabolic process running in aerobic cells as opennonlinear dissipative systems. The map of metabolic paths and the generalscheme of a dissipative system participating in the transformation of steroidsare constructed. We have studied the influence of the Krebs cycle on thedynamics of the whole metabolic process and constructed projections of thephase portrait in the strange attractor mode. The total spectra of Lyapunovexponents, divergences, Lyapunov's dimensions of the fractality,Kolmogorov--Sinai entropies, and predictability horizons for the given modesare calculated. We have determined the bifurcation diagram presenting thedependence of the dynamics on a small parameter, which defines system'sphysical state.

ukrainian journal of physics

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