Title
Reciprocal Grids: A Hierarchical Algorithm for Computing Solution X-ray Scattering Curves from Supramolecular Complexes at High Resolution.
Abstract
In many biochemical processes large biomolecular assemblies play important roles. X-ray scattering is a label-free bulk method that can probe the structure of large self-assembled complexes in solution. As we demonstrate in this paper, solution X-ray scattering can measure complex supramolecular assemblies at high sensitivity and resolution. At high resolution, however, data analysis of larger complexes is computationally demanding. We present an efficient method to compute the scattering curves from complex structures over a wide range of scattering angles. In our computational method, structures are defined as hierarchical trees in Which repeating subunits are docked into their assembly symmetries, describing the manner subunits repeat in the structure (in other words, the locations and orientations of the repeating subunits). The amplitude of the assembly is calculated by computing the amplitudes of the basic subunits on 3D reciprocal-space grids, moving up in the hierarchy, calculating the grids of larger structures, and repeating this process for all the leaves and nodes of the tree. For very large structures, we developed a hybrid method that sums grids of smaller subunits in order to avoid numerical artifacts. We developed protocols for obtaining high-resolution solution X-ray scattering data from taxol-free microtubules at a wide range of scattering angles. We then validated our method by adequately modeling these high-resolution data. The higher speed and accuracy of our method, over existing methods, is demonstrated for smaller structures: short microtubule and tobacco mosaic virus. Our algorithm may be integrated into various structure prediction computational tools, simulations, and theoretical models, and provide means for testing their predicted structural model, by calculating the expected X-ray scattering curve and comparing with experimental data.
Year
DOI
Venue
2016
10.1021/acs.jcim.6b00159
JOURNAL OF CHEMICAL INFORMATION AND MODELING
Field
DocType
Volume
X-ray crystallography,Chemical substance,Scattering,Science, technology and society,Bioinformatics,Amplitude,Imagination,Homogeneous space,Physics,Supramolecular chemistry
Journal
56
Issue
ISSN
Citations 
8
1549-9596
0
PageRank 
References 
Authors
0.34
3
6
Name
Order
Citations
PageRank
Avi Ginsburg100.34
Tal Ben-Nun211614.21
Roi Asor300.34
Asaf Shemesh400.34
Israel Ringel500.34
Uri Raviv600.68