Bardhan Jaydeep, Park Sanghyun, Makowski Lee
J Appl Crystallogr. 2009 Oct 1;42(Pt 5):932-943. doi: 10.1107/S0021889809032919. Epub 2009 Sep 8.
This paper describes a computational approach to estimating wide-angle X-ray solution scattering (WAXS) from proteins, which has been implemented in a computer program called SoftWAXS. The accuracy and efficiency of SoftWAXS are analyzed for analytically solvable model problems as well as for proteins. Key features of the approach include a numerical procedure for performing the required spherical averaging and explicit representation of the solute-solvent boundary and the surface of the hydration layer. These features allow the Fourier transform of the excluded volume and hydration layer to be computed directly and with high accuracy. This approach will allow future investigation of different treatments of the electron density in the hydration shell. Numerical results illustrate the differences between this approach to modeling the excluded volume and a widely used model that treats the excluded-volume function as a sum of Gaussians representing the individual atomic excluded volumes. Comparison of the results obtained here with those from explicit-solvent molecular dynamics clarifies shortcomings inherent to the representation of solvent as a time-averaged electron-density profile. In addition, an assessment is made of how the calculated scattering patterns depend on input parameters such as the solute-atom radii, the width of the hydration shell and the hydration-layer contrast. These results suggest that obtaining predictive calculations of high-resolution WAXS patterns may require sophisticated treatments of solvent.
本文描述了一种从蛋白质估计广角X射线溶液散射(WAXS)的计算方法,该方法已在名为SoftWAXS的计算机程序中实现。针对可解析的模型问题以及蛋白质,分析了SoftWAXS的准确性和效率。该方法的关键特征包括用于执行所需球面平均的数值程序,以及溶质 - 溶剂边界和水化层表面的显式表示。这些特征使得能够直接且高精度地计算排除体积和水化层的傅里叶变换。这种方法将有助于未来对水化壳中电子密度的不同处理方法进行研究。数值结果说明了这种建模排除体积的方法与一种广泛使用的模型之间的差异,该模型将排除体积函数视为代表各个原子排除体积的高斯函数之和。将此处获得的结果与显式溶剂分子动力学的结果进行比较,阐明了将溶剂表示为时间平均电子密度分布所固有的缺点。此外,还评估了计算得到的散射图案如何依赖于诸如溶质原子半径、水化层宽度和水化层对比度等输入参数。这些结果表明,要获得高分辨率WAXS图案的预测计算可能需要对溶剂进行复杂的处理。