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

Di Guo, Chun Li and Dong-Cheng Mei

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1192-1202

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.

Keywords: Switch process; Sine-Wiener noise; Gene transcriptional regulatory system (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1192-1202

DOI: 10.1016/j.physa.2019.04.051

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