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Numerical and Mathematical Modeling of a Gene Network with Nonlinear Degradation of the Components Full article

Journal Numerical Analysis and Applications
ISSN: 1995-4239
Output data Year: 2024, Volume: 17, Number: 1, Pages: 1-7 Pages count : 7 DOI: 10.1134/S1995423924010014
Tags words: nonlinear dynamical systems, gene networks models, phase portraits, equilibrium points, invariant domains and toruses, stability, cycles, bifurcations, fast and slow variables, software package STEP.
Authors Golubyatnikov V.P. 1 , Kirillova N.E. 1 , Minushkina L.S. 1
Affiliations
1 Novosibirsk State University

Funding (1)

1 Russian Science Foundation 23-21-00019

Abstract: For a 3-dimensional dynamical system considered as a model of a gene network with nonlinear degradation of its components, the uniqueness of an equilibrium point is proved. Using approaches of qualitative theory of ordinary differential equations, we find conditions of existence of a cycle of this system and describe an invariant domain which contains all such cycles in the phase portrait. Numerical experiments with trajectories of this system are conducted.
Cite: Golubyatnikov V.P. , Kirillova N.E. , Minushkina L.S.
Numerical and Mathematical Modeling of a Gene Network with Nonlinear Degradation of the Components
Numerical Analysis and Applications. 2024. V.17. N1. P.1-7. DOI: 10.1134/S1995423924010014 WOS Scopus РИНЦ OpenAlex
Original: Голубятников В.П. , Кириллова Н.Е. , Минушкина Л.С.
Численное и математическое моделирование генной сети с нелинейной деградацией компонент
Сибирский журнал вычислительной математики. 2024. Т.27. №1. С.1-10. DOI: 10.15372/SJNM20240101 РИНЦ OpenAlex
Dates:
Submitted: May 29, 2023
Accepted: Oct 27, 2023
Published print: Feb 26, 2024
Published online: Feb 26, 2024
Identifiers:
Web of science: WOS:001183310500007
Scopus: 2-s2.0-85187790095
Elibrary: 66405639
OpenAlex: W4392768839
Citing: Пока нет цитирований
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