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Effect of multiplicative and additive noise on genetic transcriptional regulatory mechanism

Author

Listed:
  • Liu, Xue-Mei
  • Xie, Hui-Zhang
  • Liu, Liang-Gang
  • Li, Zhi-Bing

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.

Suggested Citation

  • Liu, Xue-Mei & Xie, Hui-Zhang & Liu, Liang-Gang & Li, Zhi-Bing, 2009. "Effect of multiplicative and additive noise on genetic transcriptional regulatory mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 392-398.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:392-398
    DOI: 10.1016/j.physa.2008.10.030
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