Theoretical analysis of opening-up vesicles with single and two holes
Theoretical analysis of opening-up vesicles with single and two holes
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DOI：
10.1103/physreve.71.011913
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发表时间：
2005-01-01
影响因子：
2.4
通讯作者：
Hotani, H
中科院分区：
文献类型：
--
作者：
Umeda, T;Suezaki, Y;Hotani, H
采用面积差弹性模型，考虑膜孔的线张力和膜的弯曲能，对单孔杯状脂质囊泡和双孔管状脂质囊泡进行了理论分析.我们数值求解欧拉-拉格朗日方程和边界条件举行的膜边缘，以获得轴对称囊泡形状，使总能量最小化。数值结果表明，当线张力是非常低的，并为适当的值的两个单层的双层膜之间的松弛面积差，该模型产生杯，管，漏斗形的囊泡，非常类似于先前观察到的形状的开放囊泡与添加剂的客人分子，如蛋白质塔林和一些洗涤剂。这有力地表明，这些添加剂分子大大降低了脂质膜的线张力。高斯弯曲模量对开放囊泡形状的影响也进行了评估，并且当孔的尺寸小时，效果最大。
Cuplike lipid vesicles with a single hole and tubelike vesicles with two holes were theoretically analyzed by taking into account the line tension of membrane holes and the bending energy of membranes, using the area difference elasticity model. We numerically solved the Euler-Lagrange equation and the boundary conditions holding on the membrane edge to obtain axisymmetric vesicle shapes that minimize the total energy. The numerical results showed that when the line tension is very low, and for appropriate values of the relaxed area difference between the two monolayers of bilayer membranes, the model yields cup-, tube-, and funnel-shaped vesicles that closely resemble previously observed shapes of opening-up vesicles with additive guest molecules such as the protein talin and some detergents. This strongly suggests that these additive molecules greatly reduce the line tension of lipid membranes. The effect of the Gaussian bending modulus on the shape of the opening-up vesicles was also evaluated and the effect is greatest when the size of hole is small.