Fourier-Bessel reconstructions

The cytoplasmic domain of the Ca -ATPase of rabbit sarcoplasmic reticulum is very similar to the structure derived from Fourier-Bessel reconstructions of the Ca -ATPase tubules of scallop sarcoplasmic reticulum [176]. 

Using the valence profiles of the 10 measured directions per sample it is now possible to reconstruct as a first step the Ml three-dimensional momentum space density. According to the Fourier Bessel method [8] one starts with the calculation of the Fourier transform of the Compton profiles which is the reciprocal form factor B(z) in the direction of the scattering vector q. The Ml B(r) function is then expanded in terms of cubic lattice harmonics up to the 12th order, which is to take into account the first 6 terms in the series expansion. These expansion coefficients can be determined by a least square fit to the 10 experimental B(z) curves. Then the inverse Fourier transform of the expanded B(r) function corresponds to a series expansion of the momentum density, whose coefficients can be calculated from the coefficients of the B(r) expansion. 

E. Three-Dimensional Reconstruction by Fourier-Bessel Synthesis. 113... 

The computation time for the 3-D reconstruction depends mainly on the normal matrix preparation step and the Fourier-Bessel synthesis step. The time for the normal matrix calculation increases roughly linearly with the particle numbers and the targeted resolution. The Fourier-Bessel... 

Focal pair method, 110 Foot-and-mouth disease virus (FMDV), 79, 155, 431-433 crystal structure of, 475 heterologous expression investigation of, 3 receptors for, 473-475 Fourier-Bessel synthesis, subnanometer reconstructions with, 113-14 Fourier intensity equations, 95... 

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