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| Positive feedback, especially interlinked positive feedback loops, may play a key role in bistability over a range of biological conditions at the heart of many celluar processes. In this work, a new interlinked positive feedback loops model is set up by adding two positive feedbacks between two species, based on the two-loop models[1,2]. At a certain stimulus level, the positive feedback strength is mainly applied to survey bistablility in the interlinked positive feedback loops, by means of codimension-1 and 2 bifurcations analysis. Furthermore, stochastic dynamics including noise-induced switching between two stable steady states, fractions of transition at the higher stable steady states and potential energy landscape [3] are investigated when the fluctuation of external noise in the feedback strength is introduced into the rate equations. |
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