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

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@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/