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- Root-mean-square_deviation_of_atomic_positions abstract "The root-mean-square deviation (RMSD) is the measure of the average distance between the atoms (usually the backbone atoms) of superimposed proteins. In the study of globular protein conformations, one customarily measures the similarity in three-dimensional structure by the RMSD of the Cα atomic coordinates after optimal rigid body superposition.When a dynamical system fluctuates about some well-defined average position, the RMSD from the average over time can be referred to as the RMSF or root mean square fluctuation. The size of this fluctuation can be measured, for example using Mössbauer spectroscopy or nuclear magnetic resonance, and can provide important physical information. The Lindemann index is a method of placing the RMSF in the context of the parameters of the system.A widely used way to compare the structures of biomolecules or solid bodies is to translate and rotate one structure with respect to the other to minimize the RMSD. Coutsias, et al. presented a simple derivation, based on quaternions, for the optimal solid body transformation (rotation-translation) that minimizes the RMSD between two sets of vectors. They proved that the quaternion method is equivalent to the well-known Kabsch algorithm. The solution given by Kabsch is an instance of the solution of the d-dimensional problem, introduced by Hurley and Cattell. The quaternion solution to compute the optimal rotation was published in the appendix of a paper of Petitjean. This quaternion solution and the calculation of the optimal isometry in the d-dimensional case were both extended to infinite sets and to the continuous case in the appendix A of an other paper of Petitjean.".
- Root-mean-square_deviation_of_atomic_positions wikiPageExternalLink rmsd-root-mean-square-deviation.
- Root-mean-square_deviation_of_atomic_positions wikiPageExternalLink latest.
- Root-mean-square_deviation_of_atomic_positions wikiPageExternalLink SuperPose.
- Root-mean-square_deviation_of_atomic_positions wikiPageExternalLink superpose.html.
- Root-mean-square_deviation_of_atomic_positions wikiPageExternalLink ssm.
- Root-mean-square_deviation_of_atomic_positions wikiPageID "4177506".
- Root-mean-square_deviation_of_atomic_positions wikiPageRevisionID "571331858".
- Root-mean-square_deviation_of_atomic_positions subject Category:Statistical_deviation_and_dispersion.
- Root-mean-square_deviation_of_atomic_positions comment "The root-mean-square deviation (RMSD) is the measure of the average distance between the atoms (usually the backbone atoms) of superimposed proteins.".
- Root-mean-square_deviation_of_atomic_positions label "Root-mean-square deviation of atomic positions".
- Root-mean-square_deviation_of_atomic_positions sameAs m.0bnccy.
- Root-mean-square_deviation_of_atomic_positions sameAs Q16335145.
- Root-mean-square_deviation_of_atomic_positions sameAs Q16335145.
- Root-mean-square_deviation_of_atomic_positions wasDerivedFrom Root-mean-square_deviation_of_atomic_positions?oldid=571331858.
- Root-mean-square_deviation_of_atomic_positions isPrimaryTopicOf Root-mean-square_deviation_of_atomic_positions.