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

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

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.

Suggested Citation

  • Wang, Min & Fang, Yuwen & Luo, Yuhui & Yang, Fengzao & Zeng, Chunhua & Duan, Wei-Long, 2019. "Influence of non-Gaussian noise on the coherent feed-forward loop with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 129(C), pages 46-55.
    • Handle: RePEc:eee:chsofr:v:129:y:2019:i:c:p:46-55
    DOI: 10.1016/j.chaos.2019.07.047
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    1. Diana Roman & Kenneth Darby-Dowman & Gautam Mitra, 2007. "Mean-risk models using two risk measures: a multi-objective approach," Quantitative Finance, Taylor & Francis Journals, vol. 7(4), pages 443-458.
    2. Victor DeMiguel & Lorenzo Garlappi & Raman Uppal, 2009. "Optimal Versus Naive Diversification: How Inefficient is the 1-N Portfolio Strategy?," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1915-1953, May.
    3. Fuentes, M.A. & Wio, Horacio S. & Toral, Raúl, 2002. "Effective Markovian approximation for non-Gaussian noises: a path integral approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(1), pages 91-104.
    4. E. V. Pankratova & A. V. Polovinkin & E. Mosekilde, 2005. "Resonant activation in a stochastic Hodgkin-Huxley model: Interplay between noise and suprathreshold driving effects," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 45(3), pages 391-397, June.
    5. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    6. Zeng, Chunhua & Zeng, Chunping & Gong, Ailing & Nie, Linru, 2010. "Effect of time delay in FitzHugh–Nagumo neural model with correlations between multiplicative and additive noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5117-5127.
    7. de Athayde, Gustavo M. & Flores, Renato Jr., 2004. "Finding a maximum skewness portfolio--a general solution to three-moments portfolio choice," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1335-1352, April.
    8. Valenti, D. & Fiasconaro, A. & Spagnolo, B., 2004. "Stochastic resonance and noise delayed extinction in a model of two competing species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(3), pages 477-486.
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