von Kitzing E, Soumpasis D M
Abteilung Zellphysiologie, Max-Planck-Institut für medizinische Forschung, Heidelberg, Germany.
Biophys J. 1996 Aug;71(2):795-810. doi: 10.1016/S0006-3495(96)79281-0.
The electrostatics of a simple membrane model picturing a lipid bilayer as a low dielectric constant slab immersed in a homogeneous medium of high dielectric constant (water) can be accurately computed using the exact Green's functions obtainable for this geometry. We present an extensive discussion of the analysis and numerical aspects of the problem and apply the formalism and algorithms developed to the computation of the energy profiles of a test charge (e.g., ion) across the bilayer and a molecular model of the acetylcholine receptor channel embedded in it. The Green's function approach is a very convenient tool for the computer simulation of ionic transport across membrane channels and other membrane problems where a good and computationally efficient first-order treatment of dielectric polarization effects is crucial.
一个简单的膜模型将脂质双层描绘为浸没在高介电常数（水）的均匀介质中的低介电常数平板，其静电学可以使用针对该几何结构可得到的精确格林函数精确计算。我们对该问题的分析和数值方面进行了广泛讨论，并将所开发的形式体系和算法应用于计算测试电荷（例如离子）跨双层的能量分布以及嵌入其中的乙酰胆碱受体通道的分子模型。格林函数方法是用于跨膜通道离子传输以及其他膜问题计算机模拟的非常方便的工具，在这些问题中，对介电极化效应进行良好且计算高效的一阶处理至关重要。
