Using diffusion distances for flexible molecular shape comparison

<p>Abstract</p> <p>Background</p> <p>Many molecules are flexible and undergo significant shape deformation as part of their function, and yet most existing molecular shape comparison (MSC) methods treat them as rigid bodies, which may lead to incorrect shape recognition...

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Main Authors: Li Qi, Liu Yu-Shen, Zheng Guo-Qin, Ramani Karthik, Benjamin William
Format: Article
Language:English
Published: BMC 2010-09-01
Series:BMC Bioinformatics
Online Access:http://www.biomedcentral.com/1471-2105/11/480
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author Li Qi
Liu Yu-Shen
Zheng Guo-Qin
Ramani Karthik
Benjamin William
author_facet Li Qi
Liu Yu-Shen
Zheng Guo-Qin
Ramani Karthik
Benjamin William
author_sort Li Qi
collection DOAJ
description <p>Abstract</p> <p>Background</p> <p>Many molecules are flexible and undergo significant shape deformation as part of their function, and yet most existing molecular shape comparison (MSC) methods treat them as rigid bodies, which may lead to incorrect shape recognition.</p> <p>Results</p> <p>In this paper, we present a new shape descriptor, named Diffusion Distance Shape Descriptor (DDSD), for comparing 3D shapes of flexible molecules. The diffusion distance in our work is considered as an average length of paths connecting two landmark points on the molecular shape in a sense of inner distances. The diffusion distance is robust to flexible shape deformation, in particular to topological changes, and it reflects well the molecular structure and deformation without explicit decomposition. Our DDSD is stored as a histogram which is a probability distribution of diffusion distances between all sample point pairs on the molecular surface. Finally, the problem of flexible MSC is reduced to comparison of DDSD histograms.</p> <p>Conclusions</p> <p>We illustrate that DDSD is insensitive to shape deformation of flexible molecules and more effective at capturing molecular structures than traditional shape descriptors. The presented algorithm is robust and does not require any prior knowledge of the flexible regions.</p>
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spelling doaj.art-a9cfafa8d9cf4c26be8a68c0d7fecba42022-12-21T20:55:55ZengBMCBMC Bioinformatics1471-21052010-09-0111148010.1186/1471-2105-11-480Using diffusion distances for flexible molecular shape comparisonLi QiLiu Yu-ShenZheng Guo-QinRamani KarthikBenjamin William<p>Abstract</p> <p>Background</p> <p>Many molecules are flexible and undergo significant shape deformation as part of their function, and yet most existing molecular shape comparison (MSC) methods treat them as rigid bodies, which may lead to incorrect shape recognition.</p> <p>Results</p> <p>In this paper, we present a new shape descriptor, named Diffusion Distance Shape Descriptor (DDSD), for comparing 3D shapes of flexible molecules. The diffusion distance in our work is considered as an average length of paths connecting two landmark points on the molecular shape in a sense of inner distances. The diffusion distance is robust to flexible shape deformation, in particular to topological changes, and it reflects well the molecular structure and deformation without explicit decomposition. Our DDSD is stored as a histogram which is a probability distribution of diffusion distances between all sample point pairs on the molecular surface. Finally, the problem of flexible MSC is reduced to comparison of DDSD histograms.</p> <p>Conclusions</p> <p>We illustrate that DDSD is insensitive to shape deformation of flexible molecules and more effective at capturing molecular structures than traditional shape descriptors. The presented algorithm is robust and does not require any prior knowledge of the flexible regions.</p>http://www.biomedcentral.com/1471-2105/11/480
spellingShingle Li Qi
Liu Yu-Shen
Zheng Guo-Qin
Ramani Karthik
Benjamin William
Using diffusion distances for flexible molecular shape comparison
BMC Bioinformatics
title Using diffusion distances for flexible molecular shape comparison
title_full Using diffusion distances for flexible molecular shape comparison
title_fullStr Using diffusion distances for flexible molecular shape comparison
title_full_unstemmed Using diffusion distances for flexible molecular shape comparison
title_short Using diffusion distances for flexible molecular shape comparison
title_sort using diffusion distances for flexible molecular shape comparison
url http://www.biomedcentral.com/1471-2105/11/480
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AT zhengguoqin usingdiffusiondistancesforflexiblemolecularshapecomparison
AT ramanikarthik usingdiffusiondistancesforflexiblemolecularshapecomparison
AT benjaminwilliam usingdiffusiondistancesforflexiblemolecularshapecomparison