Effect of multiplicative and additive noise on genetic transcriptional regulatory mechanism

Xue-Mei Liu, Hui-Zhang Xie, Liang-Gang Liu and Zhi-Bing Li

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 4, 392-398

Abstract: A multiplicative noise and an additive noise are introduced in the kinetic model of Smolen–Baxter–Byrne [P. Smolen, D.A. Baxter, J.H. Byrne, Amer. J. Physiol. Cell. Physiol. 274 (1998) 531], in which the expression of gene is controlled by protein concentration of transcriptional activator. The Fokker–Planck equation is solved and the steady-state probability distribution is obtained numerically. It is found that the multiplicative noise converts the bistability to monostability that can be regarded as a noise-induced transition. The additive noise reduces the transcription efficiency. The correlation between the multiplicative noise and the additive noise works as a genetic switch and regulates the gene transcription effectively.

Keywords: Multiplicative noise; Additive noise; Steady-state probability distribution; Noise correlation (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:4:p:392-398

DOI: 10.1016/j.physa.2008.10.030

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