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., 5:1 (2012), 106

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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 1, Pages 106–115 (Mi jsfu226)

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

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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: cell cycle, optimality, selection, hybrid automata, polyhedron, cone, stability.

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

Document Type: Article

UDC: 519.95

Language: Russian

Citation: 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., 5:1 (2012), 106–115

Citation in format AMSBIB

\Bibitem{PetSad12}

\by Dmitriy~V.~Petelin, Michael~G.~Sadovsky

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

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2012

\vol 5

\issue 1

\pages 106--115

\mathnet{http://mi.mathnet.ru/jsfu226}

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https://www.mathnet.ru/eng/jsfu/v5/i1/p106

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