Dmitriy V. Petelin, Michael G. Sadovsky, “Mathematical model of dynamics of a cell cycle based on the allometric theory of growth”, J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 1,Pages <nobr>106

Mathematical model of dynamics of a cell cycle based on the allometric theory of growth

Dmitriy V. Petelin^a, Michael 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: cell cycle, optimality, selection, hybrid automata, polyhedron, cone, stability.

UDC: 519.95

Received: 05.06.2011
Received in revised form: 26.09.2011
Accepted: 05.10.2011