  With the help of a mathematical model, the metabolic process of the Krebs
cycle is studied. The autocatalytic processes resulting in both the formation
of the self-organization in the Krebs cycle and the appearance of a cyclicity
of its dynamics are determined. Some structural-functional connections creating
the synchronism of an autoperiodic functioning at the transport in the
respiratory chain and the oxidative phosphorylation are investigated. The
conditions for breaking the synchronization of processes, increasing the
multiplicity of a cyclicity, and for the appearance of chaotic modes are
analyzed. The phase-parametric diagram of a cascade of bifurcations showing the
transition to a chaotic mode by the Feigenbaum scenario is obtained. The
fractal nature of the revealed cascade of bifurcations is demonstrated. The
strange attractors formed as a result of the folding are obtained. The results
obtained give the idea of structural-functional connections, due to which the
self-organization appears in the metabolic process running in a cell. The
constructed mathematical model can be applied to the study of the toxic and
allergic effects of drugs and various substances on the metabolism of a cell.
