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Efficient Algorithms to Explore Conformation Spaces of Flexible Protein Loops

Published: 01 October 2008 Publication History

Abstract

Several applications in biology - e.g., incorporation of protein flexibility in ligand docking algorithms, interpretation of fuzzy X-ray crystallographic data, and homology modeling - require computing the internal parameters of a flexible fragment (usually, a loop) of a protein in order to connect its termini to the rest of the protein without causing any steric clash. One must often sample many such conformations in order to explore and adequately represent the conformational range of the studied loop. While sampling must be fast, it is made difficult by the fact that two conflicting constraints - kinematic closure and clash avoidance - must be satisfied concurrently. This paper describes two efficient and complementary sampling algorithms to explore the space of closed clash-free conformations of a flexible protein loop. The "seed sampling" algorithm samples broadly from this space, while the "deformation sampling" algorithm uses seed conformations as starting points to explore the conformation space around them at a finer grain. Computational results are presented for various loops ranging from 5 to 25 residues. More specific results also show that the combination of the sampling algorithms with a functional site prediction software (FEATURE) makes it possible to compute and recognize calcium-binding loop conformations. The sampling algorithms are implemented in a toolkit (LoopTK), which is available at https://simtk.org/home/looptk.

References

[1]
M. Babor, H. M. Greenblatt, M. Edelman, and V. Sobolev, "Flexibility of Metal Binding Sites in Proteins on a Database Scale," Proteins: Structure, Function, and Bioinformatics, vol. 59, pp. 221-230, 2005.
[2]
P. I. W. Bakker, M. A. DePristo, D. F. Burke, and T. L. Blundell, "Ab Initio Construction of Polypeptide Fragments: Accuracy of Loop Decoy Discrimination by an All-Atom Statistical Potential and the AMBER Force Field with the Generalized Born Solvation Model," Proteins: Structure, Function, and Genetics, vol. 51, pp. 21-40, 2003.
[3]
H. R. Bosshard, "Molecular Recognition by Induced Fit: How Fit Is the Concept?" News in Physiological Sciences, vol. 16, pp. 171-173, 2001.
[4]
R. E. Bruccoleri and M. Karplus, "Conformational Sampling Using High Temperature Molecular Dynamics," Biopolymers, vol. 29, pp. 1847-1862, 1990.
[5]
A. Canutescu and R. Dunbrack Jr., "Cyclic Coordinate Descent: A Robotics Algorithm for Protein Loop Closure," Protein Science, vol. 12, pp. 963-972, 2003.
[6]
A. Canutescu, A. Shelenkov, and R. Dunbrack Jr., "A Graph Theory Algorithm for Protein Side-Chain Prediction," Protein Science, vol. 12, pp. 2001-2014, 2003.
[7]
M. S. Cates, M. B. Berry, E. L. Ho, Q. Li, J. D. Potter, and G. N. Phillips Jr., "Metal-Ion Affinity and Specificity in EF-Hand Proteins: Coordination Geometry and Domain Plasticity in Parvalbumin," Structure with Folding and Design, vol. 7, pp. 1269-1278, 1999.
[8]
K. S. Chang and O. Khatib, "Operational Space Dynamics: Efficient Algorithm for Modeling and Control of Branching Mechanisms," Proc. IEEE Int'l Conf. Robotics and Automation (ICRA '00), pp. 850-856, 2000.
[9]
J. Cortes, T. Simeon, M. Renaud-Simeon, and V. Tran, "Geometric Algorithms for the Conformational Analysis of Long Protein Loops," J. Computational Chemistry, vol. 25, pp. 956-967, 2004.
[10]
E. A. Coutsias, C. Soek, M. P. Jacobson, and K. A. Dill, "A Kinematic View of Loop Closure," J. Computational Chemistry, vol. 25, pp. 510-528, 2004.
[11]
C. M. Deane and T. L. Blundell, "A Novel Exhaustive Search Algorithm for Predicting the Conformation of Polypeptide Segments in Proteins," Proteins: Structure, Function, and Genetics, vol. 40, pp. 135-144, 2000.
[12]
M. A. DePristo, P. I. W. de Bakker, S. C. Lovell, and T. L. Blundell, "Ab Initio Construction of Polypeptide Fragments: Efficient Generation of Accurate, Representative Ensembles," Proteins: Structure, Function, and Genetics, vol. 51, pp. 41-55, 2003.
[13]
A. Fiser, R. K. G. Do, and A. Sali, "Modeling of Loops in Protein Structures," Protein Science, vol. 9, pp. 1753-1773, 2000.
[14]
N. Furnham, T. L. Blundell, M. A. DePristo, and T. C. Terwilliger, "Is One Solution Good Enough?" Nature Structure Molecular Biology, vol. 13, pp. 184-185, 2006.
[15]
D. S. Glazer, R. J. Radmer, and R. B. Altman, "Combining Molecular Dynamics and Machine Learning to Improve Protein Function Recognition," Proc. Pacific Symp. Biocomputing (PSB '08), vol. 13, pp. 332-343, 2008.
[16]
G. Golub and C. van Loan, Matrix Computations, third ed. John Hopkins Univ. Press, 1996.
[17]
D. Halperin and M.H. Overmars, "Spheres, Molecules and Hidden Surface Removal," Computational Geometry: Theory and Applications, vol. 11, pp. 83-102, 1998.
[18]
M. P. Jacobson, D. L. Pincus, C. S. Rapp, T. J. F. Day, B. Honig, D. E. Shaw, and R. A. Friesner, "A Hierarchical Approach to All-Atom Protein Loop Prediction," Proteins: Structure, Function, and Bioinformatics, vol. 55, pp. 351-367, 2004.
[19]
J. Jia, N. Borregaard, K. Lollike, and M. Cygler, "Structure of Ca2+-Loaded Human Grancalcin," Acta Crystallographica, vol. D57, pp. 1843-1849, 2001.
[20]
H. Kawasaki and R.H. Kretsinger, "Calcium-Binding Proteins 1: EF-Hands," Protein Profile, vol. 2, pp. 305-490, 1995.
[21]
R. Kolodny, L. Guibas, M. Levitt, and P. Koehl, "Inverse Kinematics in Biology: The Protein Loop Closure Problem," Int'l J. Robotics Research, vol. 24, pp. 151-163, 2005.
[22]
E. Levin, D. Kondrashov, and G. Wesenberg, "Ensemble Refinement of Protein Crystal Structures: Validation and Application," Structure, vol. 15, pp. 1040-1052, 2007.
[23]
K. Okazaki, N. Koga, S. Takada, J. N. Onuchic, and P. G. Wolynes, "Multiple-Basin Energy Landscapes for Large-Amplitude Conformational Motions of Proteins: Structure-Based Molecular Dynamics Simulations," Proc. Nat'l Academy of Sciences USA, vol. 103, pp. 11844-11849, 2006.
[24]
J. M. Sauder and R. Dunbrack Jr., "Beyond Genomic Fold Assignment: Rational Modeling of Proteins in Biological Systems," J. Molecular Biology, vol. 8, pp. 296-306, 2000.
[25]
A. Shehu, C. Clementi, and L. E. Kavraki, "Modeling Protein Conformation Ensembles: From Missing Loops to Equilibrium Fluctuations," Proteins: Structure, Function, and Bioinformatics, vol. 65, pp. 164-179, 2006.
[26]
S. F. Sousa, P. A. Fernandes, and M. J. Ramos, "Protein-Ligand Docking: Current Status and Future Challenges," Proteins: Structure, Function, and Bioinformatics, vol. 65, pp. 15-26, 2006.
[27]
C. E. Tossato, E. Bindewald, J. Hesser, and R. Manner, "A Divide and Conquer Approach to Fast Loop Modeling," Protein Eng., vol. 15, pp. 279-286, 2002.
[28]
H. van den Bedem, I. Lotan, J. C. Latombe, and A. Deacon, "Real-Space Protein-Model Completion: An Inverse-Kinematic Approach," Acta Crystallographica, vol. D61, pp. 2-13, 2005.
[29]
H. W. T. van Vlijmen and M. Karplus, "PDB-Based Protein Loop Prediction: Parameters for Selection and Methods for Optimization," J. Molecular Biology, vol. 267, pp. 975-1001, 1997.
[30]
W. J. Wedemeyer and H. A. Scheraga, "Exact Analytical Loop Closure in Proteins Using Polynomial Equations," J. Computational Chemistry, vol. 20, pp. 819-844, 1999.
[31]
L. Wei and R. B. Altman, "Recognizing Protein Binding Sites Using Statistical Descriptions of Their 3D Environments," Proc. Pacific Symp. Biocomputing (PSB '98), pp. 497-508, 1998.

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cover image IEEE/ACM Transactions on Computational Biology and Bioinformatics
IEEE/ACM Transactions on Computational Biology and Bioinformatics  Volume 5, Issue 4
October 2008
158 pages

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IEEE Computer Society Press

Washington, DC, United States

Publication History

Published: 01 October 2008
Published in TCBB Volume 5, Issue 4

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  1. Biology and genetics
  2. Robotics

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  • (2018)A survey of computational treatments of biomolecules by robotics-inspired methods modeling equilibrium structure and dynamicsJournal of Artificial Intelligence Research10.5555/3176748.317676057:1(509-572)Online publication date: 20-Dec-2018
  • (2018)SurveyComputer Science Review10.1016/j.cosrev.2012.07.0026:4(125-143)Online publication date: 13-Dec-2018

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