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This article is cited in 7 scientific papers (total in 7 papers)
Buffering in cyclic 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
Abstract:
We consider cyclic chains of unidirectionally coupled delay differential–difference equations that are mathematical models of artificial oscillating gene networks. We establish that the buffering phenomenon is realized in these system for an appropriate choice of the parameters{:} any given finite number of stable periodic motions of a special type, the so-called traveling waves, coexist.
Keywords:
cyclic chain of unidirectionally coupled equations, artificial gene network, traveling wave, asymptotic behavior, stability, buffering.
Received: 04.10.2015
Citation:
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffering in cyclic gene networks”, TMF, 187:3 (2016), 560–579; Theoret. and Math. Phys., 187:3 (2016), 935–951
Linking options:
https://www.mathnet.ru/eng/tmf9052https://doi.org/10.4213/tmf9052 https://www.mathnet.ru/eng/tmf/v187/i3/p560
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Abstract page: | 436 | Full-text PDF : | 137 | References: | 57 | First page: | 16 |
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