平面脂质双分子层膜周围环面的分析。
Analysis of the torus surrounding planar lipid bilayer membranes.
作者信息
White S H
出版信息
Biophys J. 1972 Apr;12(4):432-45. doi: 10.1016/S0006-3495(72)86095-8.
The characteristics and behavior of the torus (annulus) surrounding planar lipid bilayer membranes formed across a cylindrical aperture are analyzed using equations for the shape and volume of the annulus derived by the methods of variational calculus. The analysis leads to the following results: (a) Design criteria for the aperture can be established. (b) The transition region between thin film and thick annulus can be defined quantitatively and its effect on the measurement of specific capacitance determined. (c) At fixed annulus volume the diameter of the thin membrane is a function of the thin film-annulus contact angle. This suggests a new method for examining changes in free energy of the thin film, and explains why the area of thin film increases reversibly when potentials are present across the film. (d) In the absence of buoyant forces, the equations for the shape and volume of the annulus consist of incomplete elliptic integrals of the first and second kinds; however, the shape of the annulus in the transition region can be described with good accuracy by an approximate equation of greater simplicity.
利用变分法推导的环形结构的形状和体积方程，分析了跨圆柱形孔径形成的平面脂质双分子层膜周围环形结构（环带）的特征和行为。分析得出以下结果：（a）可以建立孔径的设计标准。（b）可以定量定义薄膜和厚环带之间的过渡区域，并确定其对特定电容测量的影响。（c）在固定环带体积下，薄膜的直径是薄膜 - 环带接触角的函数。这提出了一种研究薄膜自由能变化的新方法，并解释了为什么当薄膜上存在电位时薄膜面积会可逆增加。（d）在没有浮力的情况下，环带的形状和体积方程由第一类和第二类不完全椭圆积分组成；然而，过渡区域中环带的形状可以用一个更简单的近似方程很好地描述。
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