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Protein Docking. Rong Chen Boston University. L. L. L. L. R. R. L. R. R. R. The Lowest Binding Free Energy D G. water. R. Fast Fourier Transform. R. Discretize. Complex Conjugate. R. Correlation function. L. Rotate. Discretize. L. L. Fast Fourier Transform. Surface.
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Protein Docking Rong Chen Boston University
L L L L R R L R R R The Lowest Binding Free Energy DG water
R Fast Fourier Transform R Discretize Complex Conjugate R Correlation function L Rotate Discretize L L Fast Fourier Transform Surface Interior Protein Docking Using FFT
Rotational Sampling • Evenly distributed Euler angles
Performance Evaluation • Success Rate: given the number of predictions(Np), success rate is the percentage of complexes in the benchmark for which at least one hit has been obtained. • Hit Count: the average number of hits over all complexes at a particular Np.
R Fast Fourier Transform R Discretize Complex Conjugate R Correlation function L Rotate Discretize L L Fast Fourier Transform Surface Interior Protein Docking Using FFT
R IFFT Correlation L Y Translation X Translation Surface Interior Binding Site Protein Docking Using FFT Increase the speed by 107
van der Waals energy; Shape complementarity Desolvation energy; Hydrophobicity Electrostatic interaction energy Translational, rotational and vibrational free energy changes An Effective Binding Free Energy Function Number of atom pairs of type i Desolvation energy for an atom pair of type i
1 1 1 1 1 1 1 9i 9i 9i 9i 9i 1 9i 9i 9i 9i 9i 1 1 1 1 1 1 9i 9i 9i 9i 1 1 9i 1 1 9i 9i 9i 1 1 1 1 9i 9i 1 9i 9i 9i 9i 9i 1 1 1 1 9i 9i 9i 9i 9i 1 1 1 1 1 1 1 RGSC LGSC Grid-based Shape Complementarity
1 1 2 3 3 3 2 2 2 3i 3i 3i 3i 3i 3 3i 9i 3i 3i 3i 2 1+3i 1+3i 3 5 2 3i 9i 3i 1 1+9i 1+3i 1+3i 1+9i 1+3i 3 3i 9i 3i 5 2 1 1+3i 1+3i 1+9i 1+9i 1+3i 3i 9i 3i 3i 3i 3 2 1+3i 1+3i 3i 3i 3i 3i 3i 2 2 2 3 3 3 2 1 1 RPSC LPSC PairwiseShape Complementarity
A C B D Why PSC works better than GSC?
van der Waals energy; Shape complementarity Desolvation energy; Hydrophobicity Electrostatic interaction energy Translational, rotational and vibrational free energy changes An Effective Binding Free Energy Function Number of atom pairs of type i-j Desolvation energy for an atom pair of type i-j
Other available Docking Software • Fast Fourier Transform or FFT (Katchalski-Katzir, Sternberg, Vakser, Ten Eyck groups) • Computer vision based method (Nussinov group, 1999) • Boolean operations (Palma et al., 2000) • Polar Fourier correlations (Ritchie & Kemp, 2000) • Genetic algorithm (Gardiner, Burnett groups) • Flexible docking (Abagyan, 2002)
3D-Dock • Michael J.E. Sternberg, Imperial Cancer Research Fund, London, UK. • FTDock: Grid-based shape complementarity, FFT. • RPScore: empirical pair potential. • MultiDock: refinement. • http://www.bmm.icnet.uk/docking/index.html
GRAMM • Ilya A. Vakser, State University of New York at Stony Brook. • Geometric fit and hydrophobicity • FFT • Low resolution docking • http://reco3.ams.sunysb.edu/gramm/
DOT • Lynn F. Ten Eyck, University of California, San Diego. • Grid-based shape complemetarity, elctrostatics • FFT • http://www.sdsc.edu/CCMS/Papers/DOT_sc95.html
ICM • Ruben Abagyan, The Scripps Research Institute, La Jolla. • Pseudo-Brownian rigid-body docking • Biased Probability Monte Carlo Minimization of the ligand interacting side-chains. • http://abagyan.scripps.edu/lab/web/man/frames.htm
HEX • Dave Ritchie, University of Aberdeen, Aberdeen, Scotland, UK • spherical polar Fourier correlations • http://www.biochem.abdn.ac.uk/hex/
Approach Overview PDB2 PDB1 PDB Processing ZDOCK: Initial-stage Docking Biological information RDOCK: Refinement-stage Docking Clustering Final 10 predictions
Example: • CAPRI Target 6: α-amylase / Camelid VHH domain