Spectral Analysis and Invariant Measure in the Study of a Nonlinear Dynamics of the Metabolic Process in Cells

The metabolic process in a cell is modeled with the use of the Fourier transformation. The histograms of the invariant measures of chaotic attractors are constructed. In particular, a scenario of adaptation of the metabolic process under a change in the dissipation of a kinetic membrane potential and the sequence of the modes of self-organization and deterministic chaos are determined. Respectively, the spectral mapping of the attractors of these modes is considered. The structural-functional connections of the metabolic process in a cell as an integral dissipative system are analyzed.