Xu Zhenli, Cai Wei
Department of Mathematics and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China, and Department of Mathematics and Statistics, University of North Carolina, Charlotte, NC 28223 (
SIAM Rev Soc Ind Appl Math. 2011 Nov 7;53(4):683-720. doi: 10.1137/090774288.
We review recent developments of fast analytical methods for macroscopic electrostatic calculations in biological applications, including the Poisson-Boltzmann (PB) and the generalized Born models for electrostatic solvation energy. The focus is on analytical approaches for hybrid solvation models, especially the image charge method for a spherical cavity, and also the generalized Born theory as an approximation to the PB model. This review places much emphasis on the mathematical details behind these methods.
我们回顾了生物应用中宏观静电计算快速分析方法的最新进展,包括用于静电溶剂化能的泊松-玻尔兹曼(PB)模型和广义玻恩模型。重点是混合溶剂化模型的分析方法,特别是球形腔的镜像电荷法,以及作为PB模型近似的广义玻恩理论。本综述非常强调这些方法背后的数学细节。