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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
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.
Received: 25.05.2011 Revised: 20.10.2011
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
Linking options:
https://www.mathnet.ru/eng/crm568 https://www.mathnet.ru/eng/crm/v3/i4/p421
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Abstract page: | 67 | Full-text PDF : | 47 | References: | 11 |
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