Brazilian Journal of Physics
Print version ISSN 0103-9733
ZHANG, Xiao- miao; AI, Bao- quan and XIONG, Jian- wen. Genetic transcriptional regulatory model driven by the time-correlated noises. Braz. J. Phys. [online]. 2010, vol.40, n.3, pp. 295-300. ISSN 0103-9733. http://dx.doi.org/10.1590/S0103-97332010000300006.
Steady state properties of a kinetic model of Smolen- Baxter- Byrne [P. Smolen, D. A. Baxter, J. H. Byrne, Amer. J. Physiol. Cell. Physiol. 274, 531 (1998)] are investigated in presence of two time- correlated noises. The steady state probability distribution can be obtained by solving the Fokker- Planck equation. It is found that both the correlated- time between the white noise and the colored noise and that between the colored noises can convert the bistability to monostability while the former activates the transcription and the latter suppresses it.
Keywords : genetic transcriptional regulatory mechanism; steady-state probability distribution; time-correlated noises; Fokker-Planck equation.