Skip to main content

Geometric manipulation of flexible ligands

  • Submitted Contributions
  • Conference paper
  • First Online:
Book cover Applied Computational Geometry Towards Geometric Engineering (WACG 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1148))

Included in the following conference series:

Abstract

In recent years an effort has been made to supplement traditional methods for drug discovery by computer-assisted “structure-based design.” The structure-based approach involves (among other issues) reasoning about the geometry of drug molecules (or ligands) and about the different spatial conformations that these molecules can attain. This is a preliminary report on a set of tools that we are devising to assist the chemist in the drug design process. We describe our work on the following three topics: (i) geometric data structures for representing and manipulating molecules; (ii) conformational analysis—searching for low-energy conformations; and (iii) pharmacophore identification—searching for common features among different ligands that exhibit similar activity.

Work on this paper has been supported by a grant from Pfizer Central Research. Work on this paper by Rajeev Motwani has been supported by an Alfred P. Sloan Research Fellowship, an IBM Faculty Partnership Award, an ARO MURI Grant DAAH04-96-1-0007, and NSF Young Investigator Award CCR-9357849, with matching funds from IBM, Schlumberger Foundation, Shell Foundation, and Xerox Corporation. Work reported in Section 2.2 has been supported by ARO MURI Grant DAAH04-96-1-0007.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. T. Akutsu, M. Halldorsson, On the approximation of largest common point sets, Proc. of the International Symposium on Algorithms and Computations, Springer-Verlag Lecture Notes on Computer Science 834 (1987), pp. 405–413.

    Google Scholar 

  2. H. Alt, K. Melhorn K., H. Wagener and E. Welzl, Congruence, Similarity, and Symmetries of Geometric objects, Discrete Comput. Geom. 3 (1988), pp. 237–256.

    Article  Google Scholar 

  3. L.M. Balbes, S.W. Mascarella, D.B. Boyd, A perspective of modern methods for computer aided drug design, Reviews in Computational Chemistry 5 (1994), VCH Publishers Inc., pp. 337–379.

    Google Scholar 

  4. D.B. Boyd, Compendium of molecular modeling software, Reviews in Computational Chemistry 4 (1993), VCH Publishers Inc., pp. 229–257.

    Google Scholar 

  5. R.P. Brent, Algorithms for finding zeros and extrema of functions without calculating derivatives, Ph.D. Thesis, Stanford University, 1971.

    Google Scholar 

  6. Brint, A. T. and Willet P, Algorithms for the identification of three-dimensional maximal common substructures. J. Chem. Inf. Comput. Sci. 27 (1987), pp. 152–158.

    Article  Google Scholar 

  7. C.E. Bugg, W.M. Carson, and J.A. Montgomery, Drugs by design, Scientific American, December 1993, pp. 92–98.

    Google Scholar 

  8. D.E. Clark, G. Jones, P. Willet, P.W. Kenny, and R.C. Glen, Pharmacophoric pattern matching in files of three-dimensional chemical structures: Comparison of conformational searching algorithms for flexible searching, J. Chem. Inf. Comput. Sci. 34 (1994), pp. 197–206.

    Article  Google Scholar 

  9. M.L. Connolly, Solvent-accessible surfaces of proteins and nucleic acids, Science 221 (1983), pp. 709–713.

    PubMed  Google Scholar 

  10. M.L. Connolly, Analytical molecular surface calculation, J. of Applied Crystallography 16 (1983), pp. 548–558.

    Article  Google Scholar 

  11. H. Edelsbrunner, M. Facello, P. Fu, and J. Liang, Measuring proteins and voids in proteins, Technical Report, HKUST-CS94-19, Department of Computer Science, Hong Kong University of Science and Technology, 1994.

    Google Scholar 

  12. R.C. Glen, G.R. Martin, A.P. Hill, R.M. Hyde, P.M. Woollard, J. Salmon, J. Buckingham and A. Robertson, Computer-aided design and synthesis of 5-substituted Tryptamins and their pharmacology at the 5-HT Receptor: discovery of compounds with potential anti-migraine properties, J. Med. Chem., 38 (1995), pp. 3566–3580.

    Article  PubMed  Google Scholar 

  13. L.J. Guibas and J. Stolfi, Primitives for the manipulation of general subdivisions and the computation of Voronoi diagrams, ACM Transactions on Graphics, 4 (1985), pp. 74–123.

    Article  Google Scholar 

  14. D. Gusfield and R. W. Irving, The stable marriage problem: structure and algorithms. MIT Press, Cambridge, 1989.

    Google Scholar 

  15. D. Halperin, J.-C. Latombe and R. Motwani, Dynamic maintenance of kinematic structures, Manuscript, 1996.

    Google Scholar 

  16. D. Halperin and M.H. Overmars, Spheres, molecules, and hidden surface removal, Proc. 10th ACM Symposium on Computational Geometry, Stony Brook, 1994, pp. 113–122.

    Google Scholar 

  17. L.E. Kavraki, Random networks in configuration space for fast path planning, Ph.D. Thesis, Stanford, 1995.

    Google Scholar 

  18. L. Kaufman and P.J. Rousseeuw, Finding groups in data an introduction to cluster analysis, Wiley, NY, 1990.

    Google Scholar 

  19. S. Khanna, R. Motwani, and Frances F. Yao, Approximation algorithms for the largest common subtree problem, Report No. STAN-CS-95-1545, Department of Computer Science, Stanford University (1995).

    Google Scholar 

  20. G. Klebe and T. Mietzner, A fast and efficient method to generate biologically relevant conformations, J. of Computer Aided Molecular Design 8 (1994), pp. 583–606.

    Article  Google Scholar 

  21. A.R. Leach, A survey of methods for searching the conformational space of small and medium size molecules, Reviews in Computational Chemistry 2 (1991), VCH Publishers Inc., pp. 1–55.

    Google Scholar 

  22. T. Lengauer, Algorithmic research problems in molecular bioinformatics, IEEE Proc. of the 2nd Israeli Symposium on the Theory of Computing and Systems, 1993, pp. 177–192.

    Google Scholar 

  23. B. Lee and F.M. Richards, The interpretation of protein structure: Estimation of static accessibility, J. of Molecular Biology 55 (1971), pp. 379–400.

    Google Scholar 

  24. Y.C. Martin, M.G. Bures, E.A. Danaher, J. DeLazzer, I. Lico, and P.A. Pavlik, A fast new approach to pharmacophore mapping and its application to dopaminergic and benzodiazepine agonists, J. of Computer-Aided Molecular Design 7 (1993), pp. 83–102.

    Article  Google Scholar 

  25. P.G. Mezey, Molecular surfaces, in Reviews in Computational Chemistry, Vol. I, K.B. Lipkowitz and D.B. Boyd, Eds., VCH Publishers, 1990, pp. 265–294.

    Google Scholar 

  26. K. Mulmuley, Computational Geometry: An Introduction Through Randomized Algorithms, Prentice Hall, New York, 1993.

    Google Scholar 

  27. R. Norel, D. Fischer, H.J. Wolfson, and R. Nussinov, Molecular surface recognition by a computer vision-based technique, Protein Engineering 7 (1994), pp. 39–46.

    PubMed  Google Scholar 

  28. F.M. Richards, Areas, volumes, packing, and protein structure, in Annual Reviews of Biophysics and Bioengineering 6 (1977), pp. 151–176.

    Article  Google Scholar 

  29. D.A. Pierre, Optimization theory with applications, Dover, NY, 1986.

    Google Scholar 

  30. A. Smellie, S.D. Kahn, and S.L. Tieg, Analysis of conformational coverage: 1. Validation and estimation of coverage, J. Chem. Inf. Comput. Sci, 35(1995), pp. 285–294.

    Article  Google Scholar 

  31. Y. Takahashi, Y. Satoh and S. Sasaki, Recognition of largest common structural fragment among a variety of chemical structures, Analytical Sciences 3 (1987), pp. 23–28.

    Google Scholar 

  32. Tripos Associates Inc., Sybyl Manual, St. Louis, MO.

    Google Scholar 

  33. H. J. Wolfson, Model-based object recognition by geometric hashing, Proc. of the 1st European Conference on Computer Vision (1990), pp. 526–536.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Ming C. Lin Dinesh Manocha

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Finn, P.W. et al. (1996). Geometric manipulation of flexible ligands. In: Lin, M.C., Manocha, D. (eds) Applied Computational Geometry Towards Geometric Engineering. WACG 1996. Lecture Notes in Computer Science, vol 1148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0014486

Download citation

  • DOI: https://doi.org/10.1007/BFb0014486

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61785-3

  • Online ISBN: 978-3-540-70680-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics