Marth W, Praetorius S, Voigt A
Institut für Wissenschaftliches Rechnen, TU Dresden, Dresden 01062, Germany.
Institut für Wissenschaftliches Rechnen, TU Dresden, Dresden 01062, Germany
J R Soc Interface. 2015 Jun 6;12(107). doi: 10.1098/rsif.2015.0161.
We analyse a generic motility model, with the motility mechanism arising by contractile stress due to the interaction of myosin and actin. A hydrodynamic active polar gel theory is used to model the cytoplasm of a cell and is combined with a Helfrich-type model to account for membrane properties. The overall model allows consideration of the motility without the necessity for local adhesion. Besides a detailed numerical approach together with convergence studies for the highly nonlinear free boundary problem, we also compare the induced flow field of the motile cell with that of classical squirmer models and identify the motile cell as a puller or pusher, depending on the strength of the myosin-actin interactions.
我们分析了一个通用的运动模型，其运动机制源于肌球蛋白和肌动蛋白相互作用产生的收缩应力。采用流体动力学活性极性凝胶理论对细胞的细胞质进行建模，并与一个赫夫里希型模型相结合，以考虑膜的特性。该整体模型允许在无需局部粘附的情况下考虑细胞运动。除了针对高度非线性自由边界问题的详细数值方法及收敛性研究外，我们还将运动细胞诱导的流场与经典的蠕动模型的流场进行比较，并根据肌球蛋白 - 肌动蛋白相互作用的强度将运动细胞识别为拉动型或推动型。
