Dmitriy V. Petelin, Mikhail G. Sadovsky, “Simple model of cell cycle dynamics”, J. Sib. Fed. Univ. Math. Phys., 2011, Volume 4, Issue 3,Pages <nobr>382

Simple model of cell cycle dynamics

Dmitriy V. Petelin^a, Mikhail G. Sadovsky^b

^a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
^b Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia

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.

UDC: 573.22

Received: 23.03.2011
Received in revised form: 20.04.2011
Accepted: 30.04.2011