高斯曲率弹性模量对哑铃形开口膜泡形状的影响

The influence of the Gaussian bending modulus on the opening-up dumbbell vesicles

基于自发曲率模型,研究了高斯曲率弹性模量(kg)对哑铃形开口膜泡形状的影响.通过打靶法数值求解开口膜泡在确定边界条件下的欧拉拉格朗日方程,计算不同kg下膜泡的平衡形状.对两类特征形状研究了kg对膜泡平衡形状的影响.对于口径较大的形状,它可以看成是一个球形和另一个部分球形用细小脖子连接起来的形状,kg对这类膜泡形状的影响主要体现在中间连接处半径rc的变化上;而对于口径较小的接近闭合状的哑铃形膜泡,kg对这类膜泡的影响体现在其开口处形状的变化上.

The influence of the Gaussian bending modulus kg on the shapes of opening-up dumbbell vesicles is studied in the spontaneous-curvature model. Using the shooting method the equilibrium shapes of opening-up vesicles at different kg are calculated by solving the Euler- Lagrange equation under the corresponding boundary conditions at the membrane edge. The effects of kg on two kinds of characteristic opening-up shapes of dumbbell vesicles are investigated. One kind is the shape with large diameter of opening hole, which can be regarded as a ball and another part of the ball connected by a fine neck. For this kind of shape, the Gaussian bending modulus mainly influences the neck radius of the vesicles. Another kind is the shape with a small opening hole, which tends to closing dumbbell shapes. For this type, the variation of kg will change the shape of the opening hole.