Department of Electrical and Electronic Engineering, Wuhan Polytechnic University, Wuhan, P.R. China.
Department of Physics, College of Science, Huazhong Agricultural University, Wuhan, P.R. China.
Math Biosci Eng. 2019 Jul 16;16(6):6587-6601. doi: 10.3934/mbe.2019328.
We studied fluctuation-induced switching processes in the gene transcriptional regulatory system under cross-correlated sine-Wiener (CCSW) noises. It is numerically demonstrated that the increase of the multiplicative noise intensity A and cross-correlation time τ in CCSW noises can reduce the concentration of the TF-A monomer and switch to an "off" state. In addition, when the cross-correlation time τ is small, the increase of the additive noise intensity B leads to a switch of the process from "off"→"on". Simultaneously, the increase of the cross-correlation intensity λ of CCSW noises contributes to maintaining the current state. When the cross-correlation time is large, the high concentration state has two peaks and the stationary probability distribution presents a three-peak structure.
我们研究了在交叉相关正弦-维纳（CCSW）噪声下基因转录调控系统中的波动诱导开关过程。数值结果表明，CCSW 噪声中乘性噪声强度 A 和交叉相关时间 τ 的增加会降低 TF-A 单体的浓度并切换到“关闭”状态。此外，当交叉相关时间 τ 较小时，加性噪声强度 B 的增加会导致过程从“关闭”→“打开”的切换。同时，CCSW 噪声的交叉相关强度 λ 的增加有助于维持当前状态。当交叉相关时间较大时，高浓度状态有两个峰值，而稳定概率分布呈现三峰结构。
