Oscillations and bifurcation structure of reaction?diffusion model for cell polarity formation

Oscillations and bifurcation structure of reaction?diffusion model for cell polarity formation
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反应的振荡和分叉结构?细胞极性形成的扩散模型

DOI:
10.1007/s00285-022-01723-5
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发表时间:
2022
影响因子:
1.9
通讯作者:
Ei Shin-ichiro
Ei Shin-ichiro
中科院分区:
数学4区
文献类型:
--
作者:
Kuwamura Masataka;Izuhara Hirofumi;Ei Shin-ichiro

文献摘要

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研究了Otsuji等人提出的一类具有非线性项和质量守恒的反应扩散系统的振动动力学和分支结构,PLoS Comp Biol 3:el08,2007)。该系统是理解细胞极性形成的有用模型。我们发现,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,这可以被视为细胞极性振荡的极性反转和非反转,分别。导致这些模式的触发器是扩散驱动的(图灵式)不稳定性。此外,我们还研究了细胞外信号对细胞极性振荡的影响。
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:e108, 2007). 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.