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A Point-Matching Based Algorithm for 3D Surface Alignment of Drug-Sized Molecules

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Computational Life Sciences II (CompLife 2006)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 4216))

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Abstract

Molecular shapes play an important role in molecular interactions, e.g., between a protein and a ligand. The ‘outer’ shape of a molecule can be approximated by its solvent excluded surface (SES). In this article we present a new approach to molecular surface alignment which is capable of identifying partial similarities. The approach utilizes an iterative point matching scheme which is applied to the points representing the SES. Our algorithm belongs to the multi-start methods. We first generate a number of initial alignments that are locally optimized by an iterative surface point matching algorithm which tries to maximize the number of matched points while minimizing the distance between the matched points. The algorithm identifies similar surface regions given by the matched surface points. This makes it well suited for multiple alignment of molecular surfaces. The subalgorithm proposed for distributing points uniformly across a surface might be of general interest for the comparison of molecular surfaces.

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References

  1. Lemmen, C., Lengauer, T.: Computational methods for the structural alignment of molecules. J. Comput. Aid. Mol. Des. 14, 215–232 (2000)

    Article  Google Scholar 

  2. Ritchie, D.W., Kemp, G.J.L.: Fast computation, rotation, and comparison of low resolution spherical harmonic molecular surfaces. J. Comp. Chem. 20(4), 383–395 (1999)

    Article  Google Scholar 

  3. Goldman, B.B., Wipke, W.T.: Quadratic shape descriptors. 1. rapid superposition of dissimilar molecules using geometrically invariant surface descriptors. J. Chem. Inf. Comp. Sci. 40(3), 644–658 (2000)

    Google Scholar 

  4. Cosgrove, D., Bayada, D.M., Johnson, A.P.: A novel method of aligning molecules by local surface shape similarity. J. Comput. Aid. Mol. Des. 14, 573–591 (2000)

    Article  Google Scholar 

  5. Exner, T.E., Keil, M., Brickmann, J.: Pattern recognition strategies for molecular surfaces II. Surface complementarity. J. Comp. Chem. 23, 1188–1197 (2002)

    Article  Google Scholar 

  6. Hofbauer, C.: Molecular Surface Comparison. A Versatile Drug Discovery Tool. PhD thesis, Technische Universität Wien (2004)

    Google Scholar 

  7. Exner, T.E., Keil, M., Brickmann, J.: Pattern recognition strategies for molecular surfaces I. Pattern generation using fuzzy set theory. J. Comp. Chem. 23, 1176–1187 (2002)

    Article  Google Scholar 

  8. Zauhar, R.J., Moyna, G., Tian, L., Li, Z., Welsh, W.J.: Shape signatures: a new approach to computer-aided ligand- and receptor-based drug design. J. Med. Chem. 46(26), 5674–5690 (2003)

    Article  Google Scholar 

  9. Stiefl, N., Baumann, K.: Mapping property distributions of molecular surfaces: algorithm and evaluation of a novel 3D quantitative structure-activity relationship technique. J. Med. Chem. 46(8), 1390–1407 (2003)

    Article  Google Scholar 

  10. Bender, A., Mussa, H.Y., Gill, G.S., Glen, R.C.: Molecular surface point environments for virtual screening and the elucidation of binding patterns (MOLPRINT 3D). J. Med. Chem. 47, 6569–6583 (2004)

    Article  Google Scholar 

  11. Akutsu, T.: Protein structure alignment using a graph matching technique. Genome Informatics 6, 1–8 (1995)

    Google Scholar 

  12. Kirchner, S.: Ein Approximationsalgorithmus zur Berechnung der Ähnlichkeit dreidimensionaler Punktmengen. Diploma Thesis, Department of Computer Science. Humboldt University, Berlin (2003)

    Google Scholar 

  13. Baum, D.: Multiple semi-flexible 3D superposition of drug-sized molecules. In: Berthold, M.R., Glen, R.C., Diederichs, K., Kohlbacher, O., Fischer, I. (eds.) CompLife 2005. LNCS (LNBI), vol. 3695, pp. 198–207. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  14. Totrov, M., Abagyan, R.: The contour-buildup algorithm to calculate the analytical molecular surface. J. Struct. Biol. 116, 138–143 (1995)

    Article  Google Scholar 

  15. AmiraMol, AmiraDeconv - Extensions for Amira 3.1. Zuse Institute Berlin (ZIB) and Mercury Computer Systems - TGS Group (2003), http://amira.zib.de/Amira31-MolDeconv-manual.pdf

  16. Karypis, G., Kumar, V.: METIS, a Software Package for Partitioning Unstructured Graphs and Computing Fill-Reduced Orderings of Sparse Matrices. University of Minnesota, Department of Computer Science (1998)

    Google Scholar 

  17. Deussen, O., Hiller, S., van Overveld, C.W.A.M., Strothotte, T.: Floating points: A method for computing stipple drawings. Comput. Graph. Forum 19(3) (2000)

    Google Scholar 

  18. Surazhsky, V., Gotsman, C.: Explicit surface remeshing. In: Symposium on Geometry Processing, pp. 20–30 (2003)

    Google Scholar 

  19. Kabsch, W.: A discussion of the solution for the best rotation to relate two sets of vectors. Acta Crystallographica A 34, 827–828 (1978)

    Article  Google Scholar 

  20. Protein Data Bank (PBD), http://www.rcsb.org/pdb/

  21. Halgren, T.A.: Merck molecular force field. I-V. J. Comp. Chem. 17(5&6), 490–641 (1996)

    Article  Google Scholar 

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Baum, D., Hege, HC. (2006). A Point-Matching Based Algorithm for 3D Surface Alignment of Drug-Sized Molecules. In: R. Berthold, M., Glen, R.C., Fischer, I. (eds) Computational Life Sciences II. CompLife 2006. Lecture Notes in Computer Science(), vol 4216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11875741_18

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  • DOI: https://doi.org/10.1007/11875741_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45767-1

  • Online ISBN: 978-3-540-45768-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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