Journal of Computer-Aided Molecular Design, 10 (1996) 273-283.

Wavelets and Molecular Structure

Mike Carson


University of Alabama at Birmingham, Center for Macromolecular Crystallography
274 BHS, 79 THT University Station Birmingham, AL 35294, USA

Received September 25, 1995
Revised January 25, 1996

Keywords: B-splines, NURBS, Ribbons, Protein editing, Protein fold, Low resolution models.

Summary

The wavelet method offers possibilities for display, editing, and topological comparison of proteins at a user-specified level of detail. Wavelets are a mathematical tool that first found application in signal processing. The multiresolution analysis of a signal via wavelets provides a hierarchical series of 'best' lower-resolution approximations. B-spline ribbons model the protein fold with one control point per residue. Wavelet analysis sets limits on the information required to define the winding of the backbone through space, suggesting a recognizable fold is generated from a number of points equal to 1/4 or less the number of residues. Wavelets applied to surfaces and volumes have promise in structure-based drug design.

Introduction

Methods

Results

Discussion

References