9 citations · 58 across the 16 of their papers we have counts for
16 papers
Characteristics of the Invariant Measure of the Strange Attractor of the Bacteria Mathematical Model
V. Grytsay
The bacteria metabolic process of open nonlinear dissipative system far from equilibrium point is modeled using classical methods of synergetics. The invariant measure and its conv…
Spectral Analysis and Invariant Measure in Studies of the Dynamics of the Hemostasis of a Blood Vessel
V. I. Grytsay
A mathematical model of atherosclerosis of a blood vessel is advanced with regard for the entry of low-density lipoproteins (LDLs) into blood. For the first time, the influence of…
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
V. I. Grytsay, A. G. Medentsev, A. Yu. Arinbasarova
We have modeled the metabolic process running in aerobic cells as open nonlinear dissipative systems. The map of metabolic paths and the general scheme of a dissipative system part…
Nonlinear Self-organization Dynamics of a Metabolic Process of the Krebs Cycle
V. I. Grytsay, I. V. Musatenko
The present work continues studies of the mathematical model of a metabolic process of the Krebs cycle. We study the dependence of its cyclicity on the cell respiration intensity d…
A mathematical model of the metabolism of a cell. Self-organization and chaos
V. I. Grytsay, I. V. Musatenko
Using the classical tools of nonlinear dynamics, we study the process of self-organization and the appearance of the chaos in the metabolic process in a cell with the help of a mat…
Self-oscillatory dynamics of the metabolic process in a cell
V. I. Grytsay, I. V. Musatenko
In this work, a mathematical model of self-oscillatory dynamics of the metabolism in a cell is studied. The full phase-parametric characteristics of variations of the form of attra…