Lipid membranes with free edges.
Lipid membranes with free edges.
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DOI：
10.1103/physreve.68.061915
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发表时间：
2003-05
期刊：
影响因子：
--
通讯作者：
Z. C. Tu;Z. Ou-Yang
中科院分区：
文献类型：
--
作者：
Z. C. Tu;Z. Ou-Yang
边缘自由暴露的脂膜被视为边界弯曲的光滑表面。引入外微分形式描述曲面和边界曲线。总自由能定义为Helfrich自由能与表面张力能和线张力能之和。以总自由能的变化量为变量，导出了膜的平衡方程和边界条件。这些方程也可以应用于具有多个自由暴露边缘的膜。在轴对称条件下，得到了这些方程的解析解和数值解。数值结果可以用来解释最近的实验结果所获得的Saitoh等人。Acad. Sci. 95，1026（1998）]。
Lipid membrane with freely exposed edge is regarded as smooth surface with curved boundary. Exterior differential forms are introduced to describe the surface and the boundary curve. The total free energy is defined as the sum of Helfrich's free energy and the surface and line tension energy. The equilibrium equation and boundary conditions of the membrane are derived by taking the variation of the total free energy. These equations can also be applied to the membrane with several freely exposed edges. Analytical and numerical solutions to these equations are obtained under the axisymmetric condition. The numerical results can be used to explain recent experimental results obtained by Saitoh et al. [Proc. Natl. Acad. Sci. 95, 1026 (1998)].