Woolley Thomas E, Gaffney Eamonn A, Oliver James M, Baker Ruth E, Waters Sarah L, Goriely Alain
Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford, OX1 3LB, UK,
Biomech Model Mechanobiol. 2014 Apr;13(2):463-76. doi: 10.1007/s10237-013-0509-9. Epub 2013 Jul 16.
Blebs are cellular protrusions that are used by cells for multiple purposes including locomotion. A mechanical model for the problem of pressure-driven blebs based on force and moment balances of an axisymmetric shell model is proposed. The formation of a bleb is initiated by weakening the shell over a small region, and the deformation of the cellular membrane from the cortex is obtained during inflation. However, simply weakening the shell leads to an area increase of more than 4%, which is physically unrealistic. Thus, the model is extended to include a reconfiguration process that allows large blebs to form with small increases in area. It is observed that both geometric and biomechanical constraints are important in this process. In particular, it is shown that although blebs are driven by a pressure difference across the cellular membrane, it is not the limiting factor in determining bleb size.
气泡是细胞的突起,细胞利用其实现包括移动在内的多种目的。基于轴对称壳模型的力和力矩平衡,提出了一个关于压力驱动气泡问题的力学模型。气泡的形成始于小区域内壳的弱化,在膨胀过程中获得细胞膜相对于皮质的变形。然而,仅仅弱化壳会导致面积增加超过4%,这在物理上是不现实的。因此,该模型被扩展以纳入一个重新配置过程,使得大气泡能够在面积小幅增加的情况下形成。据观察,几何和生物力学约束在此过程中都很重要。特别要指出的是,尽管气泡是由细胞膜两侧的压力差驱动的,但它并非决定气泡大小的限制因素。