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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 3, Pages 13–18 (Mi sjim619)  
This article is cited in 3 scientific papers (total in 3 papers)

On multidimensional models of gene networks

V. P. Golubyatnikovab, I. V. Golubyatnikovab

a Sobolev Institute of Mathematics, SB RAS, Novosibirsk, RUSSIA
b Novosibirsk State University, Novosibirsk, RUSSIA
Full-text PDF (214 kB) Citations (3)
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Abstract: We obtain sufficient conditions for the existence of closed trajectories in the odd-dimensional nonlinear dynamical systems that model gene networks with negative feedback.
Keywords: gene networks, negative feedback, nonlinear dynamical systems, stationary points, periodic trajectories.
Received: 27.10.2009
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 343–347
DOI: https://doi.org/10.1134/S1990478911030045
Bibliographic databases:
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: V. P. Golubyatnikov, I. V. Golubyatnikov, “On multidimensional models of gene networks”, Sib. Zh. Ind. Mat., 13:3 (2010), 13–18; J. Appl. Industr. Math., 5:3 (2011), 343–347
Citation in format AMSBIB
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\by V.~P.~Golubyatnikov, I.~V.~Golubyatnikov
\paper On multidimensional models of gene networks
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 3
\pages 13--18
\mathnet{http://mi.mathnet.ru/sjim619}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2841192}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 343--347
\crossref{https://doi.org/10.1134/S1990478911030045}
Linking options:
  • https://www.mathnet.ru/eng/sjim619
  • https://www.mathnet.ru/eng/sjim/v13/i3/p13
    • This publication is cited in the following 3 articles:
    1. V. P. Golubyatnikov, V. V. Ivanov, “Cycles in the odd-dimensional models of circular gene networks”, J. Appl. Industr. Math., 12:4 (2018), 648–657  mathnet  crossref  crossref  elib  elib
    2. N. B. Ayupova, V. P. Golubyatnikov, “A three-cell model of the initial stage of the development of one proneural cluster”, J. Appl. Industr. Math., 11:2 (2017), 168–173  mathnet  crossref  crossref  elib
    3. A. A. Akinshin, V. P. Golubyatnikov, I. V. Golubyatnikov, “On some many-dimensional models of the functioning of gene networks”, J. Appl. Industr. Math., 7:3 (2013), 296–301  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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