Mongan John, Simmerling Carlos, McCammon J Andrew, Case David A, Onufriev Alexey
Bioinformatics Program, Medical Scientist Training Program, Center for Theoretical Biological Physics, UC San Diego, La Jolla, CA 92093-0365.
J Chem Theory Comput. 2007 Jan 1;3(1):156-169. doi: 10.1021/ct600085e.
Generalized Born (GB) models provide a computationally efficient means of representing the electrostatic effects of solvent and are widely used, especially in molecular dynamics (MD). A class of particularly fast GB models is based on integration over an interior volume approximated as a pairwise union of atom spheres-effectively, the interior is defined by a van der Waals rather than Lee-Richards molecular surface. The approximation is computationally efficient, but if uncorrected, allows for high dielectric (water) regions smaller than a water molecule between atoms, leading to decreased accuracy. Here, an earlier pairwise GB model is extended by a simple analytic correction term that largely alleviates the problem by correctly describing the solvent-excluded volume of each pair of atoms. The correction term introduces a free energy barrier to the separation of non-bonded atoms. This free energy barrier is seen in explicit solvent and Lee-Richards molecular surface implicit solvent calculations, but has been absent from earlier pairwise GB models. When used in MD, the correction term yields protein hydrogen bond length distributions and polypeptide conformational ensembles that are in better agreement with explicit solvent results than earlier pairwise models. The robustness and simplicity of the correction preserves the efficiency of the pairwise GB models while making them a better approximation to reality.
广义玻恩(GB)模型提供了一种计算效率高的方法来表示溶剂的静电效应,并且被广泛使用,尤其是在分子动力学(MD)中。一类特别快速的GB模型基于对一个内部体积的积分,该内部体积近似为原子球的成对并集——实际上,内部是由范德华分子表面而非李-理查兹分子表面定义的。这种近似在计算上是高效的,但如果不进行校正,会导致原子之间出现小于水分子大小的高介电(水)区域,从而降低准确性。在此,一个早期的成对GB模型通过一个简单的解析校正项进行了扩展,该校正项通过正确描述每对原子的溶剂排除体积,在很大程度上缓解了这个问题。校正项为非键合原子的分离引入了一个自由能势垒。这种自由能势垒在显式溶剂和李-理查兹分子表面隐式溶剂计算中都能看到,但在早期的成对GB模型中却不存在。当用于分子动力学时,校正项产生的蛋白质氢键长度分布和多肽构象集合比早期的成对模型更符合显式溶剂的结果。校正的稳健性和简单性在保持成对GB模型效率的同时,使其更接近实际情况。