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

TL;DR

This paper uses spectral analysis and invariant measures to explore the nonlinear dynamics of cellular metabolism, revealing how chaos and self-organization adapt to changes in membrane potential dissipation.

Contribution

It introduces a spectral approach to analyze invariant measures and chaos in cellular metabolic processes, highlighting structural-functional connections.

Findings

Histograms of invariant measures of chaotic attractors constructed

Scenario of metabolic adaptation under dissipation change identified

Spectral mapping of attractors analyzed

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.