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Effects of Time Delay on Multistability of Genetic Toggle Switch
De-qing Zhu,Hui-jun Jiang,Zhong-huai Hou*
Author NameAffiliationE-mail
De-qing Zhu Department of Chemical Physics & Hefei National Laboratory for Physical Sciences at the Microscales, iChEM, University of Science and Technology of China, Hefei 230026, China  
Hui-jun Jiang Department of Chemical Physics & Hefei National Laboratory for Physical Sciences at the Microscales, iChEM, University of Science and Technology of China, Hefei 230026, China  
Zhong-huai Hou* Department of Chemical Physics & Hefei National Laboratory for Physical Sciences at the Microscales, iChEM, University of Science and Technology of China, Hefei 230026, China hzhlj@ustc.edu.cn 
Abstract:
The effect of time delay on a genetic toggle switch, whose undelayed dynamics shows low protein expression states (L-states), high expression states (H-states) and coexistence of them different transcription-factor binding rates α, is investigated by using the delayed stochastic simulation method. Interestingly, we find that the delay induces a transition from the coexistence state to L-state or H-state by suppressing the other state. Moreover, the phase diagram on the α-τ plane is obtained by extensive simulations. It is observed that, the coexistence state is remarkably narrowed by increasing delay time, and completely disappears above a triple-point-like point where direct transitions between H-state and L-state are possible.
Key words:  Genetic toggle switch, Delay, Multistability
FundProject:
基因开关体系多稳性质的时间延迟效应
朱德清,江慧军,侯中怀*
摘要:
利用延迟随机模拟方法,研究了时间延迟τ对一种基因开关体系中多稳性质的影响.这种基因开关体系在不存在时间延迟时,依据转录因子结合速率?的不同,可以表现出蛋白质高表达态、低表达态 以及高低表达共存态等多稳特性.研究发现,时间延迟可以抑制共存态中的一种表达态从而实现到另一种表达态的转变.通过计算α-τ参数空间的相图,进一步揭示了随着延迟时间的增加,共存态的参数区间会显著缩小;当延迟时间大于某个三相点时,共存态消失;高和低表达态可不通过共存态实现直接转变.
关键词:  基因开关体系,延迟,多稳性
DOI:10.1063/1674-0068/28/cjcp1505113
分类号: