|
This article is cited in 1 scientific paper (total in 1 paper)
Conditions of existence of cycles in two basic models of circadian oscillator of Mammalians
V. P. Golubyatnikovab, O. A. Podkolodnayac, N. L. Podkolodnyicd, N. B. Ayupovaab, N. E. Kirillovaa, E. V. Yunoshevab a Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
c Institute of Cytology and Genetics SB RAS, pr. Acad. Koptyuga 2, Novosibirsk 630090, Russia
d Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentyeva 6, Novosibirsk 630090, Russia
Abstract:
We construct two non-linear dynamcal systems as models of symplest circadian
oscillator's functioning. Conditions of uniqueness of equilibrium point of these systems
are described as well as conditions of existence of cycles in their phase portraits.
Keywords:
circadian oscillator, gene network, mathematical model, non-linear dynamical systems, positive and negative feedbacks, hyperbolic equilibrium point, phase portrait, cycle.
.
Received: 30.08.2021 Revised: 30.08.2021 Accepted: 21.10.2021
Citation:
V. P. Golubyatnikov, O. A. Podkolodnaya, N. L. Podkolodnyi, N. B. Ayupova, N. E. Kirillova, E. V. Yunosheva, “Conditions of existence of cycles in two basic models of circadian oscillator of Mammalians”, Sib. Zh. Ind. Mat., 24:4 (2021), 39–53
Linking options:
https://www.mathnet.ru/eng/sjim1150 https://www.mathnet.ru/eng/sjim/v24/i4/p39
|
Statistics & downloads: |
Abstract page: | 166 | Full-text PDF : | 46 | References: | 28 | First page: | 10 |
|