Influence of non-Gaussian noise on the coherent feed-forward loop with time delay

Min Wang, Yuwen Fang, Yuhui Luo, Fengzao Yang, Chunhua Zeng and Wei-Long Duan

Chaos, Solitons & Fractals, 2019, vol. 129, issue C, 46-55

Abstract: The effect of non-Gaussian noise on the coherent feed-forward loop with time delay is researched. Based on delayed Fokker–Planck equation, the expressions of the steady-state probability distribution, mean, normalized variance, normalized skewness, and normalized kurtosis of concentration variables y and z of two transcription factors X, Y and a target gene Z in the model are derived. Then, the impacts of the noise intensity D, parameter q indicating the departure from Gaussian noise, correlation time τ0 of non-Gaussian noise, and time delay τ on the steady-state probability distribution, mean, normalized variance, skewness, and kurtosis are discussed. The results show that, non-Gaussian noise will weaken the stability of Y and Z, increase the concentration of y and z, and ultimately benefit the output of target gene Z. Time delay also weaken the stability of Y and Z, but increase the concentrations of y and decrease the concentrations of z, i.e., suppress the output of target gene Z. In addition, numerical simulations are performed and consistent with approximate theoretical results.

Keywords: Coherent feed-forward loop; Non-Gaussian noise; Time delay, (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:129:y:2019:i:c:p:46-55

DOI: 10.1016/j.chaos.2019.07.047

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