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On a Cycle in a 5-Dimensional Circular Gene Network Model Научная публикация

Журнал

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Вых. Данные

Год: 2021, Том: 15, Номер: 3, Страницы: 376-383 Страниц : 8 DOI: 10.1134/S1990478921030029

Ключевые слова

circular gene network model; cycle; fixed point; invariant domain; monotonicity; negative feedback; phase portrait; piecewise-linear dynamical system; Poincaré map; stability

Авторы

Ayupova N.B. ^1,2 , Golubyatnikov V.P. ^1,2

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Abstract: The necessary and sufficient conditions are obtained for the uniqueness of a cycle in thephase portrait of a piecewise linear dynamical system that simulates functioning a gene networkwith five components regulated by negative feedbacks only. We describe the behavior oftrajectories of this system in the invariant domain homeomorphic to a torus and prove thestability of this cycle. © 2021, Pleiades Publishing, Ltd.

Ayupova N.B. , Golubyatnikov V.P.
On a Cycle in a 5-Dimensional Circular Gene Network Model
Journal of Applied and Industrial Mathematics. 2021. V.15. N3. P.376-383. DOI: 10.1134/S1990478921030029 Scopus OpenAlex

Аюпова Н.Б. , Голубятников В.П.
Об одном цикле в пятимерной модели кольцевой генной сети
Сибирский журнал индустриальной математики. 2021. Т.24. №3. С.19-29. DOI: 10.33048/SIBJIM.2021.24.302 OpenAlex

Scopus:	2-s2.0-85126385087
OpenAlex:	W4254881669

БД	Цитирований
Scopus	6
OpenAlex	3