Title: Beta-Shape vs. Molecular Structure Speaker: Deok-Soo Kim Hanyang University, Korea Date: Friday, March 7, 2008 Time 11:00-12:00PM Venue: Room 4480, HKUST Abstract: It is a usual understanding that the functions of biological system such as a protein are critically related with the spatial structure (i.e., geometry and topology among atoms) of the system. This talk will introduce some important biological problems which are essentially related to the spatial structure of proteins. Ever since Richards first employed the Voronoi diagram of points for the analysis of molecular structure, many studies have been reported with some successes: for example, the (weighted) alpha- shape. In this talk, I will present a new theory of beta-shape as the generalization of the alpha-shape. The beta-shape, based on the Voronoi diagram of spheres - often called as an additively weighted Voronoi diagram, is very recently developed and being applied to the molecular biology. In this talk, I will show how the beta-shape can solve important biological problems which can never be solved efficiently with other computational structures.