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

Bratsun D.A.
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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
Citation in English: Bratsun D.A. Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part I. Regulation of gene expression // Computer Research and Modeling, 2011, vol. 3, no. 4, pp. 421-438
Citation in English: Bratsun D.A. Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part I. Regulation of gene expression // Computer Research and Modeling, 2011, vol. 3, no. 4, pp. 421-438
DOI: 10.20537/2076-7633-2011-3-4-421-438
URL: http://crm-en.ics.org.ru/journal/article/1835/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
According to Crossref, this article is cited by:
  • Dmitry Anatolievich Bratsun, Alexey V. Zyuzgin. Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part II. Control of fluid equilibrium. // Computer Research and Modeling. — 2012. — V. 4, no. 2. — P. 369. DOI: 10.20537/2076-7633-2012-4-2-369-389
  • Dmitry Anatolievich Bratsun, Eugeny Sergeevich Lorgov, Alexander Olegovich Poluyanov. Repressilator with time-delayed gene expression. Part I. Deterministic description. // Computer Research and Modeling. — 2018. — V. 10, no. 2. — P. 241. DOI: 10.20537/2076-7633-2018-10-2-241-259
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