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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 194, Number 3, Pages 547–568
DOI: https://doi.org/10.4213/tmf9321 (Mi tmf9321) 		 
This article is cited in 5 scientific papers (total in 5 papers)

An approach to modeling artificial gene networks

S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb

a Demidov Yaroslavl State University, Yaroslavl, Russia
b Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (555 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf9321
Abstract: We propose a new mathematical model of a repressilator, i.e., the simplest gene ring network consisting of three elements. The studied model is a three-dimensional system of ordinary differential equations depending on a single parameter. We study the existence and stability problems for relaxation periodic motion in this system.
Keywords: repressilator, gene network, relaxation cycle, asymptotic behavior, stability.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.10160.2017/5.1
Russian Foundation for Basic Research 15-01-04066_a
This research was performed under the State assignment project No. 1.10160.2017/5.1 and was supported by the Russian Foundation for Basic Research (Grant No. 15-01-04066_a).
Received: 19.12.2016
English version:
Theoretical and Mathematical Physics, 2018, Volume 194, Issue 3, Pages 471–490
DOI: https://doi.org/10.1134/S0040577918030121
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “An approach to modeling artificial gene networks”, TMF, 194:3 (2018), 547–568; Theoret. and Math. Phys., 194:3 (2018), 471–490
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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