Mathematical modeling of matter distribution in cells assembling into a~ring
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 2, pp. 171-184

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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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     author = {S. I. Fadeev and V. V. Kogai and V. V. Mironova and N. A. Omelyanchuk and V. A. Likhoshvai},
     title = {Mathematical modeling of matter distribution in cells assembling into a~ring},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {171--184},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a6/}
}
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S. I. Fadeev; V. V. Kogai; V. V. Mironova; N. A. Omelyanchuk; V. A. Likhoshvai. Mathematical modeling of matter distribution in cells assembling into a~ring. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 2, pp. 171-184. http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a6/