Multi-resolution anchor-point registration of biomolecular assemblies and their components.

An atomic scale interpretation facilitates the assignment of functional properties to 3D reconstructions of macromolecular assemblies in electron microscopy (EM). Such a high-resolution interpretation is typically achieved by docking the known atomic structures of components into the volumetric EM maps. Docking locations are often determined by maximizing the cross-correlation coefficient of the two objects in a slow, exhaustive search. If time is of essence, such as in related visualization and image processing fields, the matching of data is accelerated by incorporating feature points that form a compact description of 3D objects. The complexity reduction afforded by the feature point representation enables a near-instantaneous matching. We show that such reduced matching can also deliver robust and accurate results in the presence of noise or artifacts. We therefore propose a novel multi-resolution registration technique employing feature-based shape descriptions of the volumetric and structural data. The pattern-matching algorithm carries out a hierarchical alignment of the point sets generated by vector quantization. The search-space complexity is reduced by an integrated tree-pruning technique, which permits the detection of subunits in large macromolecular assemblies in real-time. The efficiency and accuracy of the novel algorithm are validated on a standard test system of homo-oligomeric assemblies.

[1]  J. Mccammon,et al.  Situs: A package for docking crystal structures into low-resolution maps from electron microscopy. , 1999, Journal of structural biology.

[2]  W Wriggers,et al.  Modeling tricks and fitting techniques for multiresolution structures. , 2001, Structure.

[3]  H. Wolfson,et al.  Efficient detection of three-dimensional structural motifs in biological macromolecules by computer vision techniques. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[4]  H. Alt Discrete Geometric Shapes Matching Interpolation and Approximation A Survey , 2009 .

[5]  S. Kearsley On the orthogonal transformation used for structural comparisons , 1989 .

[6]  N. Volkmann,et al.  Quantitative fitting of atomic models into observed densities derived by electron microscopy. , 1999, Journal of structural biology.

[7]  A. Roseman Docking structures of domains into maps from cryo-electron microscopy using local correlation. , 2000, Acta crystallographica. Section D, Biological crystallography.

[8]  J. Zou,et al.  Improved methods for building protein models in electron density maps and the location of errors in these models. , 1991, Acta crystallographica. Section A, Foundations of crystallography.

[9]  Gabriel Zachmann,et al.  Geometric data structures for computer graphics , 2002, Eurographics.

[10]  V S Lamzin,et al.  The 1.8 A crystal structure of the dimeric peroxisomal 3-ketoacyl-CoA thiolase of Saccharomyces cerevisiae: implications for substrate binding and reaction mechanism. , 1997, Journal of molecular biology.

[11]  S Birmanns,et al.  Using situs for flexible and rigid-body fitting of multiresolution single-molecule data. , 2001, Journal of structural biology.

[12]  W. Wriggers,et al.  Exploring global distortions of biological macromolecules and assemblies from low-resolution structural information and elastic network theory. , 2002, Journal of molecular biology.

[13]  P. Chacón,et al.  Multi-resolution contour-based fitting of macromolecular structures. , 2002, Journal of molecular biology.

[14]  Edward H. Egelman,et al.  The RecA hexamer is a structural homologue of ring helicases , 1997, Nature Structural Biology.

[15]  Thomas Martinetz,et al.  'Neural-gas' network for vector quantization and its application to time-series prediction , 1993, IEEE Trans. Neural Networks.

[16]  Allen Gersho,et al.  Vector quantization and signal compression , 1991, The Kluwer international series in engineering and computer science.

[17]  K. Schulten,et al.  Self-organizing neural networks bridge the biomolecular resolution gap. , 1998, Journal of molecular biology.

[18]  W. Kabsch A discussion of the solution for the best rotation to relate two sets of vectors , 1978 .

[19]  D. Ming,et al.  How to describe protein motion without amino acid sequence and atomic coordinates , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[20]  M G Rossmann,et al.  The NADPH binding site on beef liver catalase. , 1985, Proceedings of the National Academy of Sciences of the United States of America.

[21]  Leonidas J. Guibas,et al.  Discrete Geometric Shapes: Matching, Interpolation, and Approximation , 2000, Handbook of Computational Geometry.

[22]  Niels Volkmann,et al.  Evidence for cleft closure in actomyosin upon ADP release , 2000, Nature Structural Biology.

[23]  W. Kabsch A solution for the best rotation to relate two sets of vectors , 1976 .

[24]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[25]  M. Rossmann,et al.  Fitting atomic models into electron-microscopy maps. , 2000, Acta crystallographica. Section D, Biological crystallography.

[26]  Florence Tama,et al.  Mega-Dalton biomolecular motion captured from electron microscopy reconstructions. , 2003, Journal of molecular biology.

[27]  Maik Boltes,et al.  Laplace-filter enhanced haptic rendering of macromolecule s , 2005 .

[28]  Stefan Birmanns,et al.  Interactive fitting augmented by force-feedback and virtual reality. , 2003, Journal of structural biology.

[29]  Zeyun Yu,et al.  Automatic ultrastructure segmentation of reconstructed CryoEM maps of icosahedral viruses , 2005, IEEE Transactions on Image Processing.

[30]  J. Godden,et al.  The Structure of Copper-nitrite Reductase from Achromobacter cycloclastes at Five pH Values, with NO−2 Bound and with Type II Copper Depleted (*) , 1995, The Journal of Biological Chemistry.

[31]  K Schulten,et al.  Investigating a back door mechanism of actin phosphate release by steered molecular dynamics , 1999, Proteins.

[32]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[33]  Wei Zhang,et al.  Combining X-Ray Crystallography and Electron Microscopy , 2005, Structure.

[34]  K C Holmes,et al.  Refinement of the F-actin model against X-ray fiber diffraction data by the use of a directed mutation algorithm. , 1993, Journal of molecular biology.