Toggle switch as a common phenomenon in gene regulatory networks has been recognized important for biological functions …. Despite much effort dedicated to understanding the toggle switch and designing synthetic biology circuit to achieve the … structure that is imperative for producing toggle switch. In this paper, we discover a minimum structure, a motif that enables a …

, such as the case of the bimodal population distribution in the genetic toggle switch. In this paper, we further verify that … noises in degradation rates can indeed induce switching in the genetic toggle switch. Meanwhile, we apply the theory of mean …