This article is cited in 1 paper

Computational Mathematics

Numerical research of degenerate dynamic balance model of the cell cycle

S. I. Ebel

South Ural State University, Chelyabinsk, Russian Federation

Abstract: The mathematical model of the cell cycle is considered. It is shown that a balance dynamic model of the cell cycle for the mitotic cell division is degenerate. The method of constructing of the degenerate balance dynamic model of the cell cycle is submitted. The methods of the theory of degenerate groups and the numerical methods for the initial value problem for the Leontiev type systems are applied to the studied model. The numerical investigation of a model example of a degenerate balance dynamic model of the cell cycle is performed. The construction of the mathematical model will allow to reduce a time of studying of the processes occurring in the cell, to develop the possible scenarios of development in accordance with the changing of environmental factors and to optimize the process of removing of the division defect.

Keywords: model of the cell cycle, numerical solution, Leontieff type models, computational efficiency of the algorithm.

MSC: 65J10, 92B05

Received: 17.05.2015

Language: English

DOI: 10.14529/jcem150204

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