Autocovariance structures for radial averages in small-angle X-ray scattering experiments

F. Jay Breidt, Andreea Erciulescu, Mark van der Woerd
2012 Journal of Time Series Analysis  
Small-angle X-ray scattering (SAXS) is a technique for obtaining low-resolution structural information about biological macromolecules, by exposing a dilute solution to a high-intensity Xray beam and capturing the resulting scattering pattern on a two-dimensional detector. The twodimensional pattern is reduced to a one-dimensional curve through radial averaging; that is, by averaging across annuli on the detector plane. Subsequent analysis of structure relies on these onedimensional data. This
more » ... aper reviews the technique of SAXS and investigates autocorrelation structure in the detector plane and in the radial averages. Across a range of experimental conditions and molecular types, spatial autocorrelation in the detector plane is present and is welldescribed by a stationary kernel convolution model. The corresponding autocorrelation structure for the radial averages is non-stationary. Implications of the autocorrelation structure for inference about macromolecular structure are discussed.
doi:10.1111/j.1467-9892.2011.00779.x pmid:23355752 pmcid:PMC3551296 fatcat:bq57ze7kxrdwxgj2bpen33q6pe