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Delays-based protein switches in a stochastic single-gene network

Author

Listed:
  • Zhang, Chun
  • Zeng, Jiakui
  • Tian, Dong
  • Luo, Hongchun
  • Yang, Tao
  • Han, Qinglin
  • Xiang, Chao
  • Zeng, Chunhua
  • Wang, Canjun

Abstract

In this paper, the protein switch in a single-gene network with time delays is investigated, where the gene expression is assumed to be disturbed by multiplicative and additive noises. The impacts of time delays τd and τs in degradation and synthesis processes, time delay τg in global process and cross-correlation between two noises (λi, and i=d,s,g) on the probability distribution and switch time (ST) from low protein level (OFF state) to high one (ON state) are discussed, respectively. Our results show that (1) the increase of the cross-correlation between two noises (λi) can induce protein switches from ON state to OFF one; (2) for λi⩾0, the increase of τd can induce protein switches from OFF state to ON one, while τs (or τg) can induce protein switches from the ON state to the OFF one, but for λi<0, the τd (or τs) can induce protein switches from the OFF state to the ON one, while τg can induce protein switches from the ON state to the OFF one; (3) the ST as functions of the noise intensities exhibits a maximum, which is the signature of the noise enhanced stability (NES) of the OFF state, while the increase of τd can cause the NES phenomenon to disappear; and (4) τd and τs play opposing roles in the ST, i.e., the impacts of the time delays τd and τs on ST can be canceled each other out.

Suggested Citation

  • Zhang, Chun & Zeng, Jiakui & Tian, Dong & Luo, Hongchun & Yang, Tao & Han, Qinglin & Xiang, Chao & Zeng, Chunhua & Wang, Canjun, 2015. "Delays-based protein switches in a stochastic single-gene network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 68-83.
    • Handle: RePEc:eee:phsmap:v:434:y:2015:i:c:p:68-83
    DOI: 10.1016/j.physa.2015.03.076
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    Cited by:

    1. Wu, Anshun & Dong, Yang & Luo, Yuhui & Zeng, Chunhua, 2020. "Fluctuations-induced regime shifts in the Endogenous Credit system with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

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