PDF(Pubmed)
Abstract：
To computationally investigate the recent experimental finding such that extracellular ATP release caused by exogeneous mechanical forces promote wound closure, we introduce a mathematical model, the Cellular Potts Model (CPM), which is a popular discretized model on a lattice, where the movement of a \"cell\" is determined by a Monte Carlo procedure. In the experiment, it was observed that there is mechanosensitive ATP release from the leading cells facing the wound gap and the subsequent extracellular Ca2+ influx. To model these phenomena, the Reaction-Diffusion equations for extracellular ATP and intracellular Ca2+ concentrations are adopted and combined with CPM, where we also add a polarity term because the cell migration is enhanced in the case of ATP release. From the numerical simulations using this hybrid model, we discuss effects of the collective cell migration due to the ATP release and the Ca2+ influx caused by the mechanical forces and the consequent promotion of wound closure.
摘要：
通过计算研究最近的实验发现，例如由外源机械力引起的细胞外ATP释放促进伤口闭合，我们介绍一个数学模型，细胞波茨模型(CPM)，这是一种流行的晶格离散模型，其中“细胞”的移动由蒙特卡洛程序确定。在实验中,观察到,存在来自面向伤口间隙的前导细胞的机械敏感性ATP释放和随后的细胞外Ca2+流入。为了模拟这些现象，采用细胞外ATP和细胞内Ca2+浓度的反应扩散方程，并与CPM相结合，其中我们还添加了极性术语，因为在ATP释放的情况下细胞迁移增强。从使用这种混合模型的数值模拟中，我们讨论了由于ATP释放和机械力引起的Ca2流入以及由此促进伤口闭合而引起的集体细胞迁移的影响。
