论文标题
上皮单层迁移的分析解决方案具有圆形扩展及其在间隙封闭过程中的影响
The analytical solution to the migration of an epithelial monolayer with a circular spreading front and its implications in the gap closure process
论文作者
论文摘要
上皮细胞的协调行为在组织发育中广泛观察到，例如再上皮化，肿瘤生长和形态发生。在这些过程中，细胞要么集体迁移，要么将自己组织成特定的结构以实现某些目的。在这项工作中，我们研究了一个扩散的上皮单层，其迁移的前部封闭了单层中心的圆形间隙。这种组织通常用于模仿艺术中的伤口愈合过程。我们将上皮片建模为有源粘性极性流体的一层。通过轴对称假设，该模型可以在两个特殊条件下进行分析解决，这表明上皮单层的两种可能的扩散模式。基于这两组分析解决方案，我们评估了受间隙大小影响，主动细胞间收缩力和作用于扩散边缘的钱包弦收缩的扩散前端的速度。模型参数中存在几个临界值，用于启动间隙闭合过程，而钱包弦收缩在管理间隙闭合动力学方面起着至关重要的作用。最后，研究了扩散前沿的形态的不稳定。数值计算显示了扰动速度和增长率如何随不同模型参数而变化。
The coordinated behaviors of epithelial cells are widely observed in tissue development, such as re-epithelialization, tumor growth, and morphogenesis. In these processes, cells either migrate collectively or organize themselves into specific structures to serve certain purposes. In this work, we study a spreading epithelial monolayer whose migrating front encloses a circular gap in the monolayer center. Such tissue is usually used to mimic the wound healing process in Virto. We model the epithelial sheet as a layer of active viscous polar fluid. With an axisymmetric assumption, the model can be analytically solved under two special conditions, suggesting two possible spreading modes for the epithelial monolayer. Based on these two sets of analytical solutions, we assess the velocity of the spreading front affected by the gap size, the active intercellular contractility, and the purse-string contraction acting on the spreading edge. Several critical values exist in the model parameters for the initiation of the gap closure process, and the purse-string contraction plays a vital role in governing the gap closure kinetics. Finally, the instability of the morphology of the spreading front was studied. Numerical calculations show how the perturbated velocities and the growth rates vary with respect to different model parameters.
