9 citations · 26 across the 6 of their papers we have counts for
6 papers
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…
Self-organization and chaos in the metabolism of a cell
V. I. Grytsay, I. V. Musatenko
Aim. To study the dynamics of auto-oscillations arising at the level of enzyme-substrate interaction in a cell and to find the conditions for the self-organization and the formatio…
Self-Organization and Fractality in a Metabolic Process of the Krebs Cycle
V. I. Grytsay, I. V. Musatenko
With the help of a mathematical model, the metabolic process of the Krebs cycle is studied. The autocatalytic processes resulting in both the formation of the self-organization in…
The structure of a chaos of strange attractors within a mathematical model of the metabolism of a cell
V. I. Grytsay, I. V. Musatenko
This work continues the study of the earlier constructed mathematical model of the metabolic process running in a cell. We will consider auto-oscillations arising on the level of e…