模拟囊泡形变动力学的新方法离散空间变分法

提出了全新的离散空间变分法研究二维囊泡形变动力学过程，克服了原先解析或数值解囊泡形状方程遇到的困难，结果表明动力学终态与已有理论方法的计算结果完全一致；说明这一方法正确而且解法稳定有效，这一方法可进一步推广至研究三维无对称性的囊泡形状以及膜与膜之间有长程相互作用的情形，这为囊泡形状的研究提供了新的理论手段. 关键词： 离散空间变分法 囊泡 动力学 Helfrich方程

A new approach to study the dynamics of the deformation of vesicles discrete-space variational method

A new approach, namely discrete-space variational method(DSVM) is developed to study the dynamics of deformation of a two-dimensional vesicle. It can overcome the difficulties in the previously analytical or numerical methods which were de signed to solve the shape-equation of the vesicle. Also it is a correct and stab le method because its computational results accord well with those gained by the other methods. Furthermore, it can be used to describe the three-dimensional ve sicle without any symmetry, and takes into account the long-range interaction fo r avoiding the intersection of membranes.