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Emergent bimodality and switch induced by time delays and noises in a synthetic gene circuit

Author

Listed:
  • Zhang, Chun
  • Du, Liping
  • Xie, Qingshuang
  • Wang, Tonghuan
  • Zeng, Chunhua
  • Nie, Linru
  • Duan, Weilong
  • Jia, Zhenglin
  • Wang, Canjun

Abstract

Based on the kinetic model for obtaining emergent bistability proposed by Tan et al. (2009), the effects of the fluctuations of protein synthesis rate and maximum dilution rate, the cross-correlation between two noises, and the time delay and the strength of the feedback loop in the synthetic gene circuit have been investigated through theoretical analysis and numerical simulation. Our results show that: (i) the fluctuations of protein synthesis rate and maximum dilution rate enhance the emergent bimodality of the probability distribution phenomenon, while the cross-correlation between two noises(λ), the time delay(τ) and the strength of the feedback loop(K) cause it to disappear; and (ii) the mean first passage time(MFPT) as functions of the noise strengths exhibits a maximum, this maximum is called noise-delayed switching (NDS) of the high concentration state. The NDS phenomenon shows that the noise can modify the stability of a metastable system in a counterintuitive way, the system remains in the metastable state for a longer time compared to the deterministic case. And the τ and the K enhances the stability of the ON state. The physical mechanisms for the switch between the ON and OFF states can be explained from the point of view of the effective potential.

Suggested Citation

  • Zhang, Chun & Du, Liping & Xie, Qingshuang & Wang, Tonghuan & Zeng, Chunhua & Nie, Linru & Duan, Weilong & Jia, Zhenglin & Wang, Canjun, 2017. "Emergent bimodality and switch induced by time delays and noises in a synthetic gene circuit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 253-266.
    • Handle: RePEc:eee:phsmap:v:484:y:2017:i:c:p:253-266
    DOI: 10.1016/j.physa.2017.04.052
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    Citations

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    Cited by:

    1. Cheng, Guanghui & Gui, Rong & Yao, Yuangen & Yi, Ming, 2019. "Enhancement of temporal regularity and degradation of spatial synchronization induced by cross-correlated sine-Wiener noises in regular and small-world neuronal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 361-369.
    2. Wang, Tonghuan & Guan, Lin & Zeng, Chunhua, 2019. "Transition induce by positive and negative time delay feedback in active Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    3. Guo, Qin & Sun, Zhongkui & Xu, Wei, 2019. "Delay-induced transitions in the birhythmic biological model under joint noise sources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 337-348.
    4. Li, Jiangcheng & Zhang, Chunmin & Liu, Jifa & Li, Zhen & Yang, Xuan, 2018. "An application of Mean Escape Time and metapopulation on forestry catastrophe insurance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 312-323.

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