论文标题
简单的反应扩散系统作为趋化性的可能模型
A simple reaction-diffusion system as a possible model for the origin of chemotaxis
论文作者
论文摘要
趋化性是针对外部化学刺激的定向细胞运动。在本文中，我们提出了一个简单的模型，即趋化性的起源 - 即，基于反映细胞内部工作的纯粹反应扩散方程，可能会出现针对外部化学信号的定向运动。该模型的灵感来自Rho-GTPase CDC42细胞极性调节剂的作用，特别是在酵母细胞中。我们分析了该模型的几个版本，以便更好地了解其分析性能，并在一个和二维中证明全球规律性。使用计算机模拟，我们证明，在该模型的框架中，至少在某些参数方案中，定向运动的速度似乎与信号化学梯度梯度的大小成正比。这与研究最多的趋化性平均场模型（Keller-Segel方程）相吻合。
Chemotaxis is a directed cell movement in response to external chemical stimuli. In this paper, we propose a simple model for the origin of chemotaxis - namely how a directed movement in response to an external chemical signal may occur based on purely reaction-diffusion equations reflecting inner working of the cells. The model is inspired by the well-studied role of the rho-GTPase Cdc42 regulator of cell polarity, in particular in yeast cells. We analyze several versions of the model in order to better understand its analytic properties, and prove global regularity in one and two dimensions. Using computer simulations, we demonstrate that in the framework of this model, at least in certain parameter regimes, the speed of the directed movement appears to be proportional to the size of the gradient of signalling chemical. This coincides with the form of the chemical drift in the most studied mean field model of chemotaxis, the Keller-Segel equation.
