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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2004, Volume 1, Pages 64–75 (Mi semr6)  
This article is cited in 1 scientific paper (total in 1 paper)

Research papers

Investigation of stationary solutions in models of gene networks by the homotopy method

S. I. Fadeeva, I. A. Gainovaa, A. Yu. Berezina, A. V. Ratushnyib, Yu. G. Matushkinb, V. A. Likhoshvaibc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences
c Ugra Research Institute of Information Technologies
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Abstract: Regarding gene networks as an object of computing and mathematical research we should note that its specific character expresses in very-large-scale systems. The foundation of these systems consists of biochemical processes and phenomena of passive and active transfer of substances and energy between the compartments. Therefore they can be represented as autonomous systems. It generates a need of development of theoretical and numerical methods for analyzing such systems. In this article the homotopy method is being developed for the construction of stationary solutions of dynamic models of gene networks.
Received October 20, 2004, published November 12, 2004
Bibliographic databases:
Document Type: Article
UDC: 519.65, 575.852.112, 575.852.113
MSC: 65L10, 68N17
Language: Russian
Citation: S. I. Fadeev, I. A. Gainova, A. Yu. Berezin, A. V. Ratushnyi, Yu. G. Matushkin, V. A. Likhoshvai, “Investigation of stationary solutions in models of gene networks by the homotopy method”, Sib. Èlektron. Mat. Izv., 1 (2004), 64–75
Citation in format AMSBIB
\Bibitem{FadGaiBer04}
\by S.~I.~Fadeev, I.~A.~Gainova, A.~Yu.~Berezin, A.~V.~Ratushnyi, Yu.~G.~Matushkin, V.~A.~Likhoshvai
\paper Investigation of stationary solutions in models of gene networks by the homotopy method
\jour Sib. \`Elektron. Mat. Izv.
\yr 2004
\vol 1
\pages 64--75
\mathnet{http://mi.mathnet.ru/semr6}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2132448}
\zmath{https://zbmath.org/?q=an:1080.65053}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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