Significance of Root-Mean-Square Deviation in Comparing Three-dimensional Structures of Globular Proteins

A normalized root-mean-square distance for comparing protein three-dimensional structures.

The degree of similarity of two protein three-dimensional structures is usually measured with the root-mean-square distance between equivalent atom pairs. Such a similarity measure depends on the dimension of the proteins, that is, on the number of equivalent atom pairs. The present communication presents a simple procedure to make the root-mean-square distances between pairs of three-dimension...

LB3D: A Protein Three-Dimensional Substructure Search Program Based on the Lower Bound of a Root Mean Square Deviation Value

Searching for protein structure-function relationships using three-dimensional (3D) structural coordinates represents a fundamental approach for determining the function of proteins with unknown functions. Since protein structure databases are rapidly growing in size, the development of a fast search method to find similar protein substructures by comparison of protein 3D structures is essentia...

Efficient Approximate 3-Dimensional Point Set Matching Using Root-Mean-Square Deviation Score

In this paper, we study approximate point subset match (APSM) problem with minimum RMSD score under translation, rotation, and one-to-one correspondence in d-dimension. Since this problem seems computationally much harder than the previously studied APSM problems with translation only or distance evaluation only, we focus on speed-up of exhaustive search algorithms that can find all approximate...

On Weighted Pcm and Mean Square Deviation

Three-dimensional relationship between high-order root-mean-square wavefront error, pupil diameter, and aging.

We report root-mean-square (RMS) wavefront error (WFE) for individual aberrations and cumulative high-order (HO) RMS WFE for the normal human eye as a function of age by decade and pupil diameter in 1 mm steps from 3 to 7 mm and determine the relationship among HO RMS WFE, mean age for each decade of life, and luminance for physiologic pupil diameters. Subjects included 146 healthy individuals ...