Recovering the Missing Regions in Crystal Structures from the Nuclear Magnetic Resonance Measurement Data Using Matrix Completion Method

Based on matrix completion algorithm, we proposed a simple method to recover the missing regions in the X-ray crystal structures using the corresponding nuclear magnetic resonance (NMR) measurement data for the proteins with both X-ray and NMR experimental data deposited in Protein Data Bank (PDB). By selecting 10 test proteins deposited in PDB and comparing with the standard MODELLER results from the root-mean-square deviation and MolProbity aspects, we validated that our method can provide a better protein structure model, which combines both X-ray crystallographic structure data and NMR data together than MODELLER algorithm. This method is particularly useful for building the initial structures in Molecular Dynamics when studying the protein folding process.