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Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 3, Pages 25–40 (Mi da773)  
This article is cited in 3 scientific papers (total in 3 papers)

Analysis of discrete automaton models of gene networks with irregular structure using symbolic algorithms

A. A. Evdokimova, S. E. Kochemazovb, I. V. Otpushennikovb, A. A. Semenovb

a S. L. Sobolev Institute of Mathematics, SB RAS, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
b Institute for System Dynamics and Control Theory, SB RAS, 134 Lermontov St., 664033 Irkutsk, Russia
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Abstract: We introduce and analyze discrete-automaton models of gene networks where weight functions of vertices take into account various forms of regulatory activity of agents. Within the model, we analyze a discrete mapping specified by a fragment of the gene network of E.coli. For this mapping, we found a number of fixed points using SAT-approach. Also we analyze mappings specified by random graphs generated according to Gilbert–Erdos–Renyi and Watts–Strogatz models. For these mappings, it was possible to find fixed points and cycles of length 2 and 3. This work can be considered as a review of our recent results regarding discrete models of gene networks and symbolic methods of analysis of their functioning. Ill. 6, tab. 2, bibliogr. 27.
Keywords: discrete function, discrete automaton model of gene networks, SAT.
Received: 02.09.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 3, Pages 307–316
DOI: https://doi.org/10.1134/S1990478914030028
Document Type: Article
UDC: 519.7
Language: Russian
Citation: A. A. Evdokimov, S. E. Kochemazov, I. V. Otpushennikov, A. A. Semenov, “Analysis of discrete automaton models of gene networks with irregular structure using symbolic algorithms”, Diskretn. Anal. Issled. Oper., 21:3 (2014), 25–40; J. Appl. Industr. Math., 8:3 (2014), 307–316
Citation in format AMSBIB
\Bibitem{EvdKocOtp14}
\by A.~A.~Evdokimov, S.~E.~Kochemazov, I.~V.~Otpushennikov, A.~A.~Semenov
\paper Analysis of discrete automaton models of gene networks with irregular structure using symbolic algorithms
\jour Diskretn. Anal. Issled. Oper.
\yr 2014
\vol 21
\issue 3
\pages 25--40
\mathnet{http://mi.mathnet.ru/da773}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 3
\pages 307--316
\crossref{https://doi.org/10.1134/S1990478914030028}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    References:60
    First page:30
     
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