Statistical Reconstruction and Heterogeneity Characterization in 3-D Biological Macromolecular Complexes
Qiu Wang, Peter C. Doerschuk · 2019
The structure and function of biological macromolecular complexes is a topic of great interest in biology. This chapter examines the mathematical description of a specific problem in this area of biology, the development of algorithms and software to solve the problem, and the demonstration of the relevance of the solution to biology. The approach is statistical and the nominal reconstruction and characterization of heterogeneity are the first- and second-order statistics of the electron scattering intensity. The standard measure of performance in structural biology is the Fourier Shell Correlation (FSC) between a pair of reconstructions computed from disjoint sets of images. The FSC is the spherical average of the correlation in the frequency domain between the two reconstructions normalized by the square root of the product of the spherical average of the magnitude squared of the individual reconstructions.