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Typically RMSD is used as a quantitative measure of similarity between two or more protein structures. For example, the CASP protein structure prediction competition uses RMSD as one of its assessments of how well a submitted structure matches the known, target structure. Thus the lower RMSD, the better the model is in comparison to the target ...
Let P and Q be two sets, each containing N points in .We want to find the transformation from Q to P.For simplicity, we will consider the three-dimensional case (=).The sets P and Q can each be represented by N × 3 matrices with the first row containing the coordinates of the first point, the second row containing the coordinates of the second point, and so on, as shown in this matrix:
In bioinformatics, the root mean square deviation of atomic positions is the measure of the average distance between the atoms of superimposed proteins. In structure based drug design, the RMSD is a measure of the difference between a crystal conformation of the ligand conformation and a docking prediction.
The outputs of a structural alignment are a superposition of the atomic coordinate sets and a minimal root mean square deviation between the structures. The RMSD of two aligned structures indicates their divergence from one another. Structural alignment can be complicated by the existence of multiple protein domains within one or more of the ...
The RMS value of a set of values (or a continuous-time waveform) is the square root of the arithmetic mean of the squares of the values, or the square of the function that defines the continuous waveform.
Examples of correlation between RCI and other methods of measuring motional amplitudes in proteins. NMR RMSD - root mean square fluctuations of atomic coordinates in NMR ensembles, MD RMSD - root mean square fluctuations of atomic coordinates in MD ensembles, S2 - model-free order parameter, RCI - random coil index, B-factor - temperature factor of X-ray structures; RCI->NMR RMSD - root mean ...
The TM-score is intended as a more accurate measure of the global similarity of full-length protein structures than the often used RMSD measure. The TM-score indicates the similarity between two structures by a score between (,], where 1 indicates a perfect match between two structures (thus the higher the better). [1]
In other words, if a system with twice as many atoms is simulated then it would take between two and four times as much computing power. On the other hand, the simplest ab initio calculations typically scale O(n 3) or worse (restricted Hartree–Fock calculations have been suggested to scale ~O(n 2.7)). To overcome the limit, a small part of ...