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Switch process induced by the sine-Wiener noises in the gene transcriptional regulatory system

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  • Guo, Di
  • Li, Chun
  • Mei, Dong-Cheng

Abstract

Switch process induced by the sine-Wiener noises in the gene transcriptional regulatory system were investigated by numerical simulations. Results show that (i) Only multiplicative noise which is the fluctuation of degradation reaction rate can induce a switch process (on → off) as the intensity of multiplicative noise increases for the case of uncorrelated noises; (ii) For the case of correlated noises, the switch process can be induced not only by intensity of multiplicative noise but also by intensity of additive noise which is the fluctuation of synthesis reaction rate and the cross-correlation intensity between the multiplicative and the additive noise can also induce the switch process; (iii) A successive switch process (on → off → on) occurs accompanied by a noise intensity increase when the correlation intensity takes larger value.

Suggested Citation

  • Guo, Di & Li, Chun & Mei, Dong-Cheng, 2019. "Switch process induced by the sine-Wiener noises in the gene transcriptional regulatory system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1192-1202.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1192-1202
    DOI: 10.1016/j.physa.2019.04.051
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