Geodesic
Simple model of cell cycle dynamics
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 382-384.

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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. 
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Dmitriy V. Petelin; Mikhail G. Sadovsky. Simple model of cell cycle dynamics. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 3, pp. 382-384. http://geodesic.mathdoc.fr/item/JSFU_2011_4_3_a11/

[1] E. M. Shkolnik, “Dinamika kletochnogo tsikla”, Dinamika khimicheskikh i biologicheskikh sistem, Nauka, Novosibirsk, 1989, 230–260