论文标题
使用细胞POTTS模型的数值模拟,用于释放ATP和机械效应的伤口闭合
Numerical simulation using cellular Potts model for wound closure with ATP release and the mechanobioligical effects
论文作者
论文摘要
为了在计算上研究最近的实验发现,使细胞外的ATP释放由外因机械力促进伤口闭合,我们引入了一种数学模型,即细胞盆模型(CPM),该模型是晶格上流行的离散模型,其中“细胞”的运动是由Monte Carlo Prospedure确定的。在实验中,观察到从面向伤口间隙的领先细胞和随后的细胞内Ca $^{2+} $涌入中释放了机械敏感的ATP。为了建模这些现象,采用了ATP和Ca $^{2+} $浓度的反应扩散方程,并与CPM结合,我们还添加了极性项,因为在ATP释放的情况下,细胞迁移增强了。从使用他的混合模型的数值模拟中,我们讨论了由于ATP释放而引起的集体细胞迁移以及由机械力引起的CA $ {}^{2+} $涌入以及随之而来的伤口闭合。
To computationally investigate the recent experimental finding such that extracellular ATP release caused by exogeneous mechanical forces promote wound closure, we introduce a mathematical model, the Cellular Pots Model (CPM), which is a popular discretized model on a lattice, where the movement of a "cell" is determined by a Monte Carlo procedure. In the experiment, it was observed that there is mechanosensitive ATP release from the leading cells facing the wound gap and the subsequent intracellular Ca$^{2+}$ influx. To model these phenomena, the Reaction-Diffusion equations for ATP and Ca$^{2+}$ 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 his hybrid model, we discuss effects of the collective cell migration due to the ATP release and the Ca${}^{2+}$ influx caused by the mechanical forces and the consequent promotion of wound closure.