On one numerical model of a circadian oscillator
A.A. Akinshin1, N.B. Ayupova2, V.P. Golubyatnikov2, N.E. Kirillova2, O.A. Podkolodnaya3, N.L. Podkolodnyy3,4
1JetBrains, St.Petersburg, Russia
2Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
3Institute of Cytology and Genetics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
4Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
Keywords: nonlinear dynamical system, phase portrait, hyperbolic equilibrium point, linearization matrix, periodic trajectory, cycle, mathematical model, circadian oscillator
Abstract
For a model of circadian oscillator 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.
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