Noise-induced bistable switching dynamics through a potential energy landscape  

作　　者：Yuanhong Bi Zhuoqin Yang Xiangying Meng Qishao Lu 

机构地区：[1]School of Mathematics and Systems Science and LMIB,Beihang University, Beijing 100191, China [2]School of Statistics and Mathematics, Inner MongoliaUniversity of Finance and Economics, Hohhot 010070, China [3]Department of Biology, College Park University of Maryland,Maryland 20742, USA [4]Department of Dynamics and Control, Beihang University,Beijing 100191, China

出　　处：《Acta Mechanica Sinica》2015年第2期216-222,共7页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grants 11372017,11272024,and 11371046);the General Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region(Grant NJZY14130)

摘　　要：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.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.

关 键 词：Stability Bifurcation Noise Bistable switching Potential energy landscape 

分 类 号：O422.8[理学—声学]