Noise-induced bistable switching dynamics through a potential energy landscape
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Interlinked positive feedback loops, an important building block of biochemical systems, can induce bistable switching, leading to long-lasting state changes by brief stimuli. In this work, prevalent mutual activation between two species as another positive feedback is added to a generic interlinked positive-feedback-loop model originating from many realistic biological circuits. A stochastic fluctuation of the positive feedback strength is introduced in a bistable interval of the feedback strength, and bistability appears for the moderate feedback strength at a certain noise level. Stability analysis based on the potential energy landscape is further utilized to explore the noise-induced switching behavior of two stable steady states.
Prevalent mutual activation between two species A and B as another positive feedback is added to a generic interlinked positive-feedback-loop model originating from many realistic biological circuits. A stochastic fluctuation of the positive feedback strength is introduced to investigate noise-induced bistable switching dynamics in a bistable interval of the positive feedback strength. Stability analysis based on the potential energy landscape is used to explore the noise-induced switching behavior of these two stable steady states.
KeywordsStability Bifurcation Noise Bistable switching Potential energy landscape
The authors thank Dr. Jinzhi Lei for his insights and helpful discussions. This work was supported by the National Natural Science Foundation of China (Grants 11372017, 11272024, and 11371046) and the General Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region (Grant NJZY14130).
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