ON UNIQUENESS OF A CYCLE IN ONE CIRCULAR GENE NETWORK MODEL Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2022, Volume: 63, Number: 1, Pages: 79-86 Pages count : 8 DOI: 10.1134/S0037446622010062 | ||||
| Tags | 514.745.82; block-linear dynamical system; circular gene network; cycle; fixed point; invariant domain; Poincaré map; positive and negative feedbacks | ||||
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Abstract:
We obtain conditions for uniqueness of a cycle in the phase portrait of a piecewise linear dynamical system of the Elowitz–Leibler type which simulates the functioning of a simplest circular gene network. We describe the behavior of trajectories of this system in the invariant toric neighborhood of the cycle.
Cite:
Golubyatnikov V.P.
, Minushkina L.S.
ON UNIQUENESS OF A CYCLE IN ONE CIRCULAR GENE NETWORK MODEL
Siberian Mathematical Journal. 2022. V.63. N1. P.79-86. DOI: 10.1134/S0037446622010062 WOS Scopus РИНЦ OpenAlex
ON UNIQUENESS OF A CYCLE IN ONE CIRCULAR GENE NETWORK MODEL
Siberian Mathematical Journal. 2022. V.63. N1. P.79-86. DOI: 10.1134/S0037446622010062 WOS Scopus РИНЦ OpenAlex
Original:
Голубятников В.П.
, Минушкина Л.С.
О единственности цикла в одной модели кольцевой генной сети
Сибирский математический журнал. 2022. Т.63. №1. С.95-103. DOI: 10.33048/smzh.2022.63.106 РИНЦ
О единственности цикла в одной модели кольцевой генной сети
Сибирский математический журнал. 2022. Т.63. №1. С.95-103. DOI: 10.33048/smzh.2022.63.106 РИНЦ
Dates:
| Submitted: | Jun 25, 2021 |
| Accepted: | Aug 11, 2021 |
| Published print: | Jan 26, 2022 |
Identifiers:
| Web of science: | WOS:000749276800006 |
| Scopus: | 2-s2.0-85123578478 |
| Elibrary: | 48145644 |
| OpenAlex: | W4210331473 |