Title
beta-shape Based Computation of Blending Surfaces on a Molecule
Abstract
It has been generally accepted that the structure of molecule is one of the most important factors which determine the functions of a molecule. Hence, studies have been conducted to analyze the structure of a molecule. Molecular surface is an important example of molecular structure. Given a molecular surface, the area and volume of the molecule can be computed to facilitate problems such as protein docking and folding. Therefore, it is important to compute a molecular surface precisely and efficiently. This paper presents an algorithm for correctly and efficiently computing the blending surfaces of a protein which is an important part of the molecular surface. Assuming that the Voronoi diagram of atoms of a protein is given, we first compute the beta-shape of the protein corresponding to a solvent probe. Then, we use a search space reduction technique for the intersection tests while the link blending surface is computed. Once a beta-shape is obtained, the blending surfaces corresponding to a given solvent probe can be computed in O(n) in the worst case, where n is the number of atoms. The correctness and efficiency of the algorithm stem from the powerful properties of beta-shape, quasi-triangulation, and the interworld data structure.
Year
DOI
Venue
2007
10.1109/ISVD.2007.1
ISVD
Keywords
Field
DocType
fundamental geometric problem,voronoi diagram,blending surfaces,protein folding,molecular structure,well-known conjecture,molecular surface,euclidean space,computational geometry,proteins,data structure,search problems,biology computing,molecular biophysics,computational complexity,finite system,beta-shape based computation,quasitriangulation,search space reduction,finite set,protein docking,data structures,search space,electrostatics,surface topography,spline,protein engineering,testing
Data structure,Protein folding,Biological system,Molecule,Computational geometry,Theoretical computer science,Macromolecular docking,Voronoi diagram,Molecular biophysics,Mathematics,Computation
Conference
ISBN
Citations 
PageRank 
0-7695-2869-4
3
0.41
References 
Authors
10
5
Name
Order
Citations
PageRank
Joonghyun Ryu114814.39
Rhohun Park2422.38
Youngsong Cho325022.15
Jeongyeon Seo4353.60
Deok-Soo Kim563359.12