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.
@article{SJVM_2013_16_2_a6,
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/}
}
TY - JOUR AU - S. I. Fadeev AU - V. V. Kogai AU - V. V. Mironova AU - N. A. Omelyanchuk AU - V. A. Likhoshvai TI - Mathematical modeling of matter distribution in cells assembling into a~ring JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2013 SP - 171 EP - 184 VL - 16 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a6/ LA - ru ID - SJVM_2013_16_2_a6 ER -
%0 Journal Article %A S. I. Fadeev %A V. V. Kogai %A V. V. Mironova %A N. A. Omelyanchuk %A V. A. Likhoshvai %T Mathematical modeling of matter distribution in cells assembling into a~ring %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2013 %P 171-184 %V 16 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2013_16_2_a6/ %G ru %F SJVM_2013_16_2_a6
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/