Title
Semidefinite facial reduction and rigid cluster elastic network interpolation of protein structures
Abstract
“Elastic network interpolation (ENI)” generates a series of transitional conformations between two protein conformations by interpolating inter-atomic distances. A group of atoms that maintain their inter-atomic distances while moving concurrently in a protein is known as a rigid cluster; “rigid cluster ENI” is the interpolation of the rotations and translations of rigid clusters. Rank 3 positive semidefinite (PSD) matrix manifolds have faces that are defined by these rigid clusters. This facial structure strongly suggests that these matrix manifolds are a natural choice for modelling rigid cluster transitions. In this paper, we show that rigid cluster ENI can be formulated as a facially reduced rank 3 PSD matrix manifold optimization problem.
Year
DOI
Venue
2016
10.1109/BIBM.2016.7822506
2016 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)
Keywords
Field
DocType
coarse grain,elastic network model,Euclidean distance matrix,facial reduction,Gram matrix,positive semidefinite matrix manifold,protein structure,Riemannian manifold
Cluster (physics),Mathematical analysis,Matrix (mathematics),Interpolation,Artificial intelligence,Geometry,Optimization problem,Manifold,Positive-definite matrix,Symmetric matrix,Potential energy,Mathematics,Machine learning
Conference
ISSN
ISBN
Citations 
2156-1125
978-1-5090-1612-9
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
Xiao-Bo Li100.68
F. J. Burkowski225588.69
Henry Wolkowicz31444260.72