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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 5, p.448-458
https://doi.org/10.15407/ujpe62.05.0448    Paper

Grytsay V.I.


Bogolyubov Institute for Theoretical Physics
(14b, Metrologichna Str., Kyiv 03680, Ukraine)

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

Section: Nonlinear Processes
Original Author's Text:  Ukrainian/English

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.

Key words: mathematical model, metabolic process, self-organization, deterministic chaos, Fourier series, strange attractor, invariant measure, bifurcation.