细胞极性形成的反应-扩散模型的振荡与分岔结构
Oscillations and Bifurcation Structure of Reaction-Diffusion Model for Cell Polarity Formation
AI总结：
本文研究了一个具有双稳态和质量守恒的反应-扩散模型，揭示了四种时空模式（含两种振荡），由扩散驱动不稳定性触发，并探讨了细胞外信号的影响。
摘要：
我们研究了具有双稳态非线性和质量守恒的反应-扩散系统的振荡动力学和分岔结构，该系统由[Otsuji等人，PLoS Comp. Biol. 3 (2007), e108]提出。该模型是理解细胞极性形成的有用模型。我们证明该模型表现出四种不同的时空模式，包括两种类型的振荡模式，它们可分别被视为具有极性反转和不反转的细胞极性振荡。触发这些模式的是一种扩散驱动的（类图灵）不稳定性。此外，我们研究了细胞外信号对细胞极性振荡的影响。
英文摘要：
We investigate the oscillatory dynamics and bifurcation structure of a reaction-diffusion system with bistable nonlinearity and mass conservation, which was proposed by [Otsuji et al, PLoS Comp. Biol. 3 (2007), e108]. The system is a useful model for understanding cell polarity formation. We show that this model exhibits four different spatiotemporal patterns including two types of oscillatory patterns, which can be regarded as cell polarity oscillations with the reversal and non-reversal of polarity, respectively. The trigger causing these patterns is a diffusion-driven (Turing-like) instability. Moreover, we investigate the effects of extracellular signals on the cell polarity oscillations.
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