Santiago José Antonio, Monroy Francisco
Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana Cuajimalpa, Vasco de Quiroga 4871, Ciudad de México 05384, Mexico.
Departamento de Química Física, Universidad Complutense de Madrid, Av. Complutense s/n, 28040 Madrid, Spain.
Membranes (Basel). 2023 Sep 14;13(9):796. doi: 10.3390/membranes13090796.
The mechanical effects of membrane compositional inhomogeneities are analyzed in a process analogous to neck formation in cellular membranes. We cast on the Canham-Helfrich model of fluid membranes with both the spontaneous curvature and the surface tension being non-homogeneous functions along the cell membrane. The inhomogeneous distribution of necking forces is determined by the equilibrium mechanical equations and the boundary conditions as considered in the axisymmetric setting compatible with the necking process. To establish the role played by mechanical inhomogeneity, we focus on the catenoid, a surface of zero mean curvature. Analytic solutions are shown to exist for the spontaneous curvature and the constrictive forces in terms of the border radii. Our theoretical analysis shows that the inhomogeneous distribution of spontaneous curvature in a mosaic-like neck constrictional forces potentially contributes to the membrane scission under minimized work in living cells.
在一个类似于细胞膜颈部形成的过程中，分析了膜成分不均匀性的力学效应。我们基于Canham-Helfrich流体膜模型，其中自发曲率和表面张力都是沿细胞膜的非均匀函数。颈缩力的非均匀分布由平衡力学方程和与颈缩过程兼容的轴对称设置中考虑的边界条件确定。为了确定机械不均匀性所起的作用，我们关注悬链面，即平均曲率为零的曲面。结果表明，对于自发曲率和收缩力，存在关于边界半径的解析解。我们的理论分析表明，在活细胞中，自发曲率在镶嵌状颈部收缩力中的不均匀分布可能有助于在最小化功的情况下实现膜分裂。
