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Bhak, Jong
KOrean GenomIcs Center(KOGIC)
Research Interests
  • Geromics, genomics, bioinformatics, protein Engineering, OMICS

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Euclidean Voronoi diagrams of 3D spheres and applications to protein structure analysis

Cited 17 times inthomson ciCited 21 times inthomson ci
Title
Euclidean Voronoi diagrams of 3D spheres and applications to protein structure analysis
Other Titles
Euclidean Voronoi diagrams of 3D sphereds and applications to protein structure analysis.
Author
Kim, Deok-SooCho, YoungsongKim, DongukKim, SangsooBhak, Jong HwaLee, Sung-Hoon
Keywords
Euclidean Voronoi diagrams; edge-tracing; protein structure
Issue Date
2005-06
Publisher
KINOKUNIYA CO LTD
Citation
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, v.22, no.2, pp.251 - 265
Abstract
Despite its many important applications in various disciplines in sciences and engineering, the Euclidean Voronoi diagram for spheres in 3D space has not been studied as much as it deserves. In this paper, we present an algorithm to compute a Euclidean Voronoi diagram for 3D spheres and show how the diagram can be used in the analysis of protein structures. Given an initial Voronoi vertex, the presented edge-tracing algorithm follows Voronoi edges until the construction is completed in O(mn) time in the worst-case, where m and n are the numbers of edges and spheres, respectively. Once a Voronoi diagram for 3D atoms of a protein is computed, it is shown that the diagram can be used to efficiently and precisely analyze the spatial structure of the protein. It turns out that this capability of a Voronoi diagram can be crucial to solving several important problems remaining to be solved in structural biology
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ISSN
0916-7005
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BME_Journal Papers
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