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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2014, Volume 14, Issue 4, Pages 3–10 (Mi vngu350)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Modeling of Interaction of Two Cells in the Proneural Cluster of the Wing Imaginal Disk of D. Melanogaster

A. A. Akinshina, T. A. Bukharinab, V. P. Golubyatnikovcd, D. P. Furmandb

a Altai State Technical 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, Novosibirsk
d Novosibirsk State University
Full-text PDF (498 kB) Citations (3)
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Abstract: We consider the phase portrait of a 6-dimensional nonlinear dynamical system considered as a model of an early stage of morphogenesis of D. melanogaster, i.e., appearance of its parental cell in the proneural cluster. Sufficient conditions of existence of two stable equilibrium points of this system are described, and biological interpretation is given.
Keywords: cell complex, nonlinear dynamical systems, negative and positive feedbacks, equilibrium points, the Notch signaling pathway.
Received: 12.12.2013
Document Type: Article
UDC: 573.2:57.017.64
Language: Russian
Citation: A. A. Akinshin, T. A. Bukharina, V. P. Golubyatnikov, D. P. Furman, “Mathematical Modeling of Interaction of Two Cells in the Proneural Cluster of the Wing Imaginal Disk of D. Melanogaster”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:4 (2014), 3–10
Citation in format AMSBIB
\Bibitem{AkiBukGol14}
\by A.~A.~Akinshin, T.~A.~Bukharina, V.~P.~Golubyatnikov, D.~P.~Furman
\paper Mathematical Modeling of Interaction of Two Cells in the Proneural Cluster of the Wing Imaginal Disk of~\emph{D.~Melanogaster}
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2014
\vol 14
\issue 4
\pages 3--10
\mathnet{http://mi.mathnet.ru/vngu350}
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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
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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    Full-text PDF :52
    References:61
    First page:15
     
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