Mathematical model of dynamics of a~cell cycle based on the allometric theory of growth
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 1, pp. 106-115
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The mathematical model of dynamics of a cell cycle on the basis of the theory allometric growth is developed. The way of a finding of stationary and periodic points on the basis of the geometrical description of model has been found.
Mots-clés :
cell cycle
Keywords: optimality, selection, hybrid automata, polyhedron, cone, stability.
Keywords: optimality, selection, hybrid automata, polyhedron, cone, stability.
@article{JSFU_2012_5_1_a11,
author = {Dmitriy V. Petelin and Michael G. Sadovsky},
title = {Mathematical model of dynamics of a~cell cycle based on the allometric theory of growth},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {106--115},
publisher = {mathdoc},
volume = {5},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a11/}
}
TY - JOUR AU - Dmitriy V. Petelin AU - Michael G. Sadovsky TI - Mathematical model of dynamics of a~cell cycle based on the allometric theory of growth JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2012 SP - 106 EP - 115 VL - 5 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a11/ LA - ru ID - JSFU_2012_5_1_a11 ER -
%0 Journal Article %A Dmitriy V. Petelin %A Michael G. Sadovsky %T Mathematical model of dynamics of a~cell cycle based on the allometric theory of growth %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2012 %P 106-115 %V 5 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a11/ %G ru %F JSFU_2012_5_1_a11
Dmitriy V. Petelin; Michael G. Sadovsky. Mathematical model of dynamics of a~cell cycle based on the allometric theory of growth. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 1, pp. 106-115. http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a11/