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

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.

11 pages, 7 figures

References in corpus (6)

• Self-oscillatory dynamics of the metabolic process in a cell
• Self-Organization and Fractality in the Metabolic Process of Glycolysis
• Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel
• A mathematical model of the metabolic process of atherosclerosis
• Structural Instability of a Biochemical Process
• Self-organization and fractality created by gluconeogenesis in the metabolic process

Cited by in corpus (3)

• Autooscillatory Dynamics in a Mathematical Model of the Metabolic Process in Aerobic Bacteria. Influence of the Krebs Cycle on the Self-Organization of a Biosystem
• Spectral Analysis and Invariant Measure in Studies of the Dynamics of the Hemostasis of a Blood Vessel
• Characteristics of the Invariant Measure of the Strange Attractor of the Bacteria Mathematical Model