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This article is cited in 1 scientific paper (total in 1 paper)
On one numerical model of a circadian oscillator
A. A. Akinshina, N. B. Ayupovab, V. P. Golubyatnikovb, N. E. Kirillovab, O. A. Podkolodnayac, N. L. Podkolodnyicd a JetBrains, просп. Приморский, 70, строение 1, Санкт-Петербург, 197183
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Institute of Cytology and Genetics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
d Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk
Abstract:
For a model of circadian oscilator represented in the form of 6-dimensional nonlinear dynamical system,
conditions of uniqueness of an equilibrium point, and conditions of existence of a periodic trajectory (cycle)
are established. One client-server application is elaborated in order to fulfill numerical experiments with this
model on a cloud server, and to visualize results of these experiments.
Key words:
nonlinear dynamical system, phase portrait, hyperbolic equilibrium point, linearization matrix, periodic trajectory, cycle, mathematical model, circadian oscillator.
Received: 20.12.2021 Revised: 21.01.2022 Accepted: 24.04.2022
Citation:
A. A. Akinshin, N. B. Ayupova, V. P. Golubyatnikov, N. E. Kirillova, O. A. Podkolodnaya, N. L. Podkolodnyi, “On one numerical model of a circadian oscillator”, Sib. Zh. Vychisl. Mat., 25:3 (2022), 227–240
Linking options:
https://www.mathnet.ru/eng/sjvm807 https://www.mathnet.ru/eng/sjvm/v25/i3/p227
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