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Stochastic resonance in a gene regulatory network under Lévy noise and nonhomogeneous coupling

丁亚敏  申建伟  Jianquan Lu  
【摘要】:It is well known that noise plays an important role in gene regulatory network.in this paper,Our study of stochastic resonances in the coupled gene regulatory system extends to the case of non-Gaussian Lévy α-stable distribution noise particularly.noises and nonhomogeneous coupling can optimize the Stochastic resonance in an gene regulatory network.The spectral amplification factor R is given to explore the key roles of Lévy noise in the gene regulatory networks. The results demonstrate that the four intrinsic parameters of Lévy noise, including the stability parameter, the scale parameter, the skewness parameter and the location parameter can induce SR effect.we find that the stability parameter α plays a similar role as the scale factor γ.In addition, the location parameter δ and the skewness parameter β have great benefits for the resonance effect.Taken together,through theoretical analysis and simulation,a proper adjustment of Lévy noise these parameters in a certain range enlarges the peak value of the spectral amplification factor which is significant for stochastic resonance in the gene regulatory network.

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