Noise transmission and delay-induced stochastic oscillations in biochemical network motifs

doi:10.1088/1674-1056/20/12/128703

Abstract With the aid of stochastic delayed-feedback differential equations, we derive an analytic expression for the power spectra of reacting molecules included in a generic biological network motif that is incorporated with a feedback mechanism and time delays in gene regulation. We systematically analyse the effects of time delays, the feedback mechanism, and biological stochasticity on the power spectra. It has been clarified that the time delays together with the feedback mechanism can induce stochastic oscillations at the molecular level and invalidate the noise addition rule for a modular description of the noise propagator. Delay-induced stochastic resonance can be expected, which is related to the stability loss of the reaction systems and Hopf bifurcation occurring for solutions of the corresponding deterministic reaction equations. Through the analysis of the power spectrum, a new approach is proposed to estimate the oscillation period.

Keywords: biological stochasticity time delay oscillation and resonance network motif

Received: 26 February 2011
Revised: 12 June 2011
Accepted manuscript online:

PACS:	87.18.Tt	(Noise in biological systems)
	87.19.In
	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	87.16.dj	(Dynamics and fluctuations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10975019), the Foundation of the Ministry of Personnel of China for Returned Scholars (Grant No. MOP2006138), and the Fundamental Research Funds for the Central Universities.

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Liu Sheng-Jun(刘圣君), Wang Qi(王祺), Liu Bo(刘波), Yan Shi-Wei(晏世伟), and Fumihiko Sakata Noise transmission and delay-induced stochastic oscillations in biochemical network motifs 2011 Chin. Phys. B 20 128703

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Noise transmission and delay-induced stochastic oscillations in biochemical network motifs

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