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Mathematical modeling of matter distribution in a circular cell ensemble |
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| Authors: | S I Fadeev V V Kogai V V Mironova N A Omelyanchuk V A Likhoshvai |
| Institution: | 1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia 2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia 3. Institute of Cytology and Genetics, pr. Akad. Lavrent’eva 10, Novosibirsk, 630090, Russia |
| 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 parameter continuation model, it is shown that the stationary solutions may have various symmetry types represented by closed curves. The periodic solutions have the same property, where the components differ from each other by a simple shift. |
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