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

  • V. I. Grytsay Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
Keywords: mathematical model, metabolic process, self-organization, deterministic chaos, Fourier series, strange attractor, invariant measure, bifurcation

Abstract

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.

Published
2018-12-15
How to Cite
Grytsay, V. (2018). Spectral Analysis and Invariant Measure in the Study of a Nonlinear Dynamics of the Metabolic Process in Cells. Ukrainian Journal of Physics, 62(5), 448. https://doi.org/10.15407/ujpe62.05.0448
Section
Nonlinear processes