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Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics. / Golubyatnikov, V. P.; Tatarinova, E. A.

In: Numerical Analysis and Applications, Vol. 18, No. 1, 18.03.2025, p. 36-43.

Research output: Contribution to journal › Article › peer-review

Harvard

Golubyatnikov, VP & Tatarinova, EA 2025, 'Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics', Numerical Analysis and Applications, vol. 18, no. 1, pp. 36-43. https://doi.org/10.1134/S1995423925010033

APA

Golubyatnikov, V. P., & Tatarinova, E. A. (2025). Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics. Numerical Analysis and Applications, 18(1), 36-43. https://doi.org/10.1134/S1995423925010033

Vancouver

Golubyatnikov VP, Tatarinova EA. Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics. Numerical Analysis and Applications. 2025 Mar 18;18(1):36-43. doi: 10.1134/S1995423925010033

Author

Golubyatnikov, V. P. ; Tatarinova, E. A. / Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics. In: Numerical Analysis and Applications. 2025 ; Vol. 18, No. 1. pp. 36-43.

BibTeX

@article{e8fca3a313d743b7b61f39155bc1352b,
title = "Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics",
abstract = "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.",
keywords = "equilibrium points, gene networks, nonlinear dynamical systems, positive and negative feedbacks, stability",
author = "Golubyatnikov, {V. P.} and Tatarinova, {E. A.}",
note = "This work was supported by the Russian Science Foundation, grant 23-21-00019; https://rscf.ru/ project/23-21-00019/. Golubyatnikov, V. P. Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics / V. P. Golubyatnikov, E. A. Tatarinova // Numerical Analysis and Applications. – 2025. – Vol. 18, No. 1. – P. 36-43. – DOI 10.1134/S1995423925010033.",
year = "2025",
month = mar,
day = "18",
doi = "10.1134/S1995423925010033",
language = "English",
volume = "18",
pages = "36--43",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics

AU - Golubyatnikov, V. P.

AU - Tatarinova, E. A.

N1 - This work was supported by the Russian Science Foundation, grant 23-21-00019; https://rscf.ru/ project/23-21-00019/. Golubyatnikov, V. P. Mathematical and Numerical Modeling of the Pluripotency Gene Network Dynamics / V. P. Golubyatnikov, E. A. Tatarinova // Numerical Analysis and Applications. – 2025. – Vol. 18, No. 1. – P. 36-43. – DOI 10.1134/S1995423925010033.

PY - 2025/3/18

Y1 - 2025/3/18

N2 - 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.

AB - 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.

KW - equilibrium points

KW - gene networks

KW - nonlinear dynamical systems

KW - positive and negative feedbacks

KW - stability

UR - https://www.mendeley.com/catalogue/2c9ce9cf-90b4-3c8a-9edd-f1ce14d4452a/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105000422869&origin=inward

UR - https://elibrary.ru/item.asp?id=80498291

U2 - 10.1134/S1995423925010033

DO - 10.1134/S1995423925010033

M3 - Article

VL - 18

SP - 36

EP - 43

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 1

ER -

ID: 65124509