Mathematical modeling of matter distribution in cells assembling into a ring
S.I. Fadeev, V.V. Kogai, V.V. Mironova, N.A. Omelyanchuk, V.A. Likhoshvai
Keywords: cell ensemble, gene networks, autonomous system, circular model, stationary solution, auto-oscillations, model for continuation with respect to parameters
Abstract
In this paper, a mathematical model describing substance transport in a circular cell ensemble is considered. The model is represented by an autonomous system of equations. With a model of continuation with respect to a parameter, it is shown that stationary solutions may have different symmetry representing closed curves. Periodic solutions have the same property, whereas the component plots repeat each other by a simple shift.
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