Sciact
  • EN
  • RU

Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics Full article

Journal Numerical Analysis and Applications
ISSN: 1995-4239
Output data Year: 2025, Volume: 18, Number: 1, Pages: 36-43 Pages count : 8 DOI: 10.1134/S1995423925010033
Tags gene networks, positive and negative feedbacks, nonlinear dynamical systems, equilibrium points, stability.
Authors Golubyatnikov V.P. 1 , Tatarinova E.A. 1
Affiliations
1 Novosibirsk state university

Funding (1)

1 Russian Science Foundation 23-21-00019

Abstract: We consider nonlinear dynamical systems as models of interaction of components of a gene network which regulates early stages of an embryonic stem cells state. A parametric analysis of these dynamical systems is performed in order to describe the (non)uniqueness and stability of their equilibriums. We have obtained a criterion of existence of periodic trajectories near these points and localized such oscillations on the phase portraits of dynamical systems which describe these processes. A special software for cloud numerical experiments with such systems has been elaborated.
Cite: Golubyatnikov V.P. , Tatarinova E.A.
Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics
Numerical Analysis and Applications. 2025. V.18. N1. P.36-43. DOI: 10.1134/S1995423925010033 WOS Scopus РИНЦ OpenAlex
Original: Голубятников В.П. , Татаринова Е.А.
Математическое и численное моделирование генной сети поддержания плюрипотентности стволовой клетки
Сибирский журнал вычислительной математики. 2025. Т.28. №1. С.37-46. DOI: 10.15372/SJNM20250103 РИНЦ OpenAlex
Dates:
Submitted: May 7, 2024
Accepted: Sep 20, 2024
Published print: Feb 25, 2025
Published online: Feb 25, 2025
Identifiers:
Web of science: WOS:001447356800007
Scopus: 2-s2.0-105000422869
Elibrary: 80498291
OpenAlex: W4408563982
Citing: Пока нет цитирований
Altmetrics: