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Journal of Siberian Federal University. Mathematics & Physics, 2011, Volume 4, Issue 3, Pages 382–384 (Mi jsfu196)  
Simple model of cell cycle dynamics

Dmitriy V. Petelina, Mikhail G. Sadovskyb

a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
b Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
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Abstract: 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.
Keywords: optimality, allometric growth, hybrid automata, polyhedron, cone, stability.
Received: 23.03.2011
Received in revised form: 20.04.2011
Accepted: 30.04.2011
Document Type: Article
UDC: 573.22
Language: Russian
Citation: Dmitriy V. Petelin, Mikhail G. Sadovsky, “Simple model of cell cycle dynamics”, J. Sib. Fed. Univ. Math. Phys., 4:3 (2011), 382–384
Citation in format AMSBIB
\Bibitem{PetSad11}
\by Dmitriy~V.~Petelin, Mikhail~G.~Sadovsky
\paper Simple model of cell cycle dynamics
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2011
\vol 4
\issue 3
\pages 382--384
\mathnet{http://mi.mathnet.ru/jsfu196}
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