加性和乘性噪声对基因转录调控的影响

Effects of Additive and Multiplicative Noises on Gene Transcription Regulation

越来越多的生物实验技术和理论研究发现,基因表达是个非线性随机过程,外界噪声是不可忽略的.文中引用Smolen等人建立的基因转录调控中转录激活物的动力学模型,在该模型中引入乘性和加性噪声,求解相应的朗之万方程和福克-普兰克方程,从理论和数字上分析了系统的稳态概率分布,发现乘性噪声可明显地影响系统的稳态概率分布,使得系统从双稳态跃迁到单稳态,加性噪声则降低了转录效率.

More and more biological experiments and is a nonlinearly stochastic process, in which the noise theoretical simulations have re,revealed that the gene expression can not be ignored. In this paper, additive and multiplicative noises are introduced in the kinetic model of activator proposed by Smolen for gene transcription regulation, and the corresponding Langevin and Fokker-Planck equations are solved to analyze the steady-state probability distribution theoretically and numerically. It is found that multiplicative noise significantly affects the steady-state probability distribution and converts the hi-stability to the monostabillity, and that additive noise helps to reduce the transcription efficiency.