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Sib. Èlektron. Mat. Izv., 2010, Volume 7, Pages 394–412 (Mi semr250)  

Research papers

Using the parameter “reflection” method for numerical study of the biological systems models

V. A. Likhoshvaiab, S. I. Fadeevca

a Novosibirsk State University
b Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: 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.

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

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Document Type: Article
UDC: 519.61, 577.21
MSC: 37M05
Received September 30, 2010, published November 10, 2010

Citation: V. A. Likhoshvai, S. I. Fadeev, “Using the parameter “reflection” method for numerical study of the biological systems models”, Sib. Èlektron. Mat. Izv., 7 (2010), 394–412

Citation in format AMSBIB
\Bibitem{LikFad10}
\by V.~A.~Likhoshvai, S.~I.~Fadeev
\paper Using the parameter ``reflection'' method for numerical study of the biological systems models
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages 394--412
\mathnet{http://mi.mathnet.ru/semr250}


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