Using the parameter ``reflection'' method for numerical study of the biological systems models

V. A. Likhoshvai ; S. I. Fadeev

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 394-412.

Résumé

Numerical investigation of a series of nonlinear problems maybe realized with a help of so-called “parameter reflection method”. This method is an effective way for study the solution dependence on the model parameters due to the taking into account of the character features of the considered mathematical model. There are some examples of the parameter reflection method application by analysis of the specific mathematical models of biological systems, which describe development of organisms, their tissues and organs, and also the models of molecular-genetic systems as the base of describing of biological systems functioning.

Détail

Keywords: mathematical modeling, numerical analysis, parameter reflection method, nonlinear equations, stationary solutions, biological systems, synthesis of substance, hypothetical gene networks.

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