球形拓扑中复杂形状生物膜泡的获得及其稳定性分析

通过在Surface Evolver软件中建立一些与目标形状相似的初始形状，经长时间演化后，得到了实验上已经观察到的具有D_2h和D_3h对称性的海星形生物膜泡.通过跟踪不同形状膜泡的Hessian矩阵的本征值，确定了双凹圆盘与海星形及哑铃形之间的相变是不连续的，其间所经历的三角扁盘及椭圆扁盘形中间相在SC模型中通常是不稳定的. 关键词： SC模型 生物膜泡 Surface Evolver

Obtaining and stability analysis of spherical topological vesicles with complex configurations

Through building some initial shapes which are similar to target shapes in Surface Evolver, after a long time of evolvement, we obtain the starfish vesicles with D_2h and D_3h symmetry, which are supported by experiment. Through tracing the eigenvalues of Hessian matrix of different shapes, we find that between the oblate and the star-fish vesicles, and between the oblate and prolate vesicles, there are two discontinuous phase transformation, and the biconcave triangular shapes and the biconcave elliptic shapes are usually unstable in the SC model.