Dong Ni, Yajun Yin, Huiji Shi
School of Aerospace, Department of Engineering Mechanics, Tsinghua University, Beijing, 100084 PR China.
J Biol Phys. 2005 May;31(2):135-43. doi: 10.1007/s10867-005-4307-1.
Equilibrium shapes of vesicles composed of a mixture of partially miscible amphiphiles are investigated. To take into account the influences of the composition, a simple phenomenological coupling between the co mposition and the curvatures, including the mean curvature and the Gauss curvature of the membrane surface, is suggested. By minimizing the potential functional, the general shape equation is obtained and solved analytically for vesicles with simple shapes. Besides, the geometrical constraint equation and geometrically permissible condition for the two-component lipid vesicles are put forward. The influences of physical parameters on the geometrically permissible phase diagrams are predicted. The close relations between the predictions and existing experimental phenomena published recently are shown.
研究了由部分互溶两亲物混合物组成的囊泡的平衡形状。为了考虑组成的影响,提出了一种组成与曲率之间简单的唯象耦合,包括膜表面的平均曲率和高斯曲率。通过使势函数最小化,得到了一般形状方程,并对具有简单形状的囊泡进行了解析求解。此外,还提出了双组分脂质囊泡的几何约束方程和几何允许条件。预测了物理参数对几何允许相图的影响。展示了这些预测与最近发表的现有实验现象之间的密切关系。