Trajectory analysis of NMR structure calculations.

NMR as well as X-ray crystallography are used to determine the three-dimensional structures of macromolecules at atomic resolution. Structure calculation generates coordinates that are compatible with NMR data from randomly generated initial structures. We analyzed the trajectory taken by structures during NMR structure calculation in conformational space, assuming that the distance between two structures in conformational space is the root-mean-square deviation between the two structures. The coordinates of a structure in conformational space were obtained by applying the metric multidimensional scaling method. As an example, we used a 22-residue peptide, μ-Conotoxin GIIIA, and a simulated annealing protocol of XPLOR. We found that the three-dimensional solution of the multidimensional scaling analysis is sufficient to describe the overall configuration of the trajectories in conformational space. By comparing the trajectories of the entire calculation with those of the converged calculation, random sampling of conformational space is readily discernible. Trajectory analysis can also be used for optimization of protocols of NMR structure calculation, by examining individual trajectories.