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Computer Research and Modeling, 2011, Volume 3, Issue 4, Pages 421–438
DOI: https://doi.org/10.20537/2076-7633-2011-3-4-421-438 (Mi crm568) 		 
This article is cited in 5 scientific papers (total in 5 papers)

ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS

Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part I. Regulation of gene expression

D. A. Bratsun

Perm State Pedagogical University, Faculty of Physics, 24 Sibirskaya str., Perm, 614600, Russia
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DOI: https://doi.org/10.20537/2076-7633-2011-3-4-421-438
URL: https://crm.ics.org.ru/journal/article/1835
Abstract: We study excitation of oscillations in the stochastic gene systems with time-delayed feedback loop during transcription. The oscillations arise due to interaction noise and time delay even when deterministic counterpart of the system exhibits stationary behaviour. This effect becomes important when degree-of-freedom of a system is not high, and role of fluctuations becomes principal. The analytical solution of master-equation is obtained. The results of numerical simulations are presented.
Keywords: time-delay, stochastic systems, oscillations, gene regulation.
Funding agency Grant number
Правительство Пермского края С-26/244
Ministry of Education and Science of the Russian Federation 14.740.11.0352
Received: 25.05.2011
Revised: 20.10.2011
Document Type: Article
UDC: 519.21
Language: Russian
Citation: D. A. Bratsun, “Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part I. Regulation of gene expression”, Computer Research and Modeling, 3:4 (2011), 421–438
Citation in format AMSBIB
\Bibitem{Bra11}
\by D.~A.~Bratsun
\paper Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part I. Regulation of gene expression
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 4
\pages 421--438
\mathnet{http://mi.mathnet.ru/crm568}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-4-421-438}
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