On a Cycle in a 5-Dimensional Circular Gene Network Model Full article
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Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Output data | Year: 2021, Volume: 15, Number: 3, Pages: 376-383 Pages count : 8 DOI: 10.1134/S1990478921030029 | ||||
| Tags | circular gene network model; cycle; fixed point; invariant domain; monotonicity; negative feedback; phase portrait; piecewise-linear dynamical system; Poincaré map; stability | ||||
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Abstract:
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.
Cite:
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
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
Original:
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
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
Identifiers:
| Scopus: | 2-s2.0-85126385087 |
| OpenAlex: | W4254881669 |