Harmonic modes as variables to approximately account for receptor flexibility in ligand–receptor docking simulations: Application to DNA minor groove ligand complex

An approach to approximately account for receptor flexibility in ligand–receptor docking simulations is described and applied to a DNA/Hoechst 33258 analogue complex. Harmonic modes corresponding to eigenvectors with small eigenvalues of the Hessian matrix of the potential energy function were used as independent variables to describe receptor flexibility. For the DNA minor groove ligand case most of the conformational difference between an energy minimized free DNA and ligand‐bound structure could be assigned to 5–40 harmonic receptor modes with small eigenvalues. During docking, deformations of the DNA receptor structure in the subset of harmonic modes were limited using a simple penalty function that avoided the summation over all intrareceptor atom pairs. Significant improvement of the sterical fit between ligand and receptor was found upon relaxation of the DNA in the subset of harmonic modes after docking of the ligand at the position found in the known crystal structure. In addition, the harmonic mode relaxation resulted in DNA structures that were more similar to the energy minimized ligand‐bound form. Although harmonic mode relaxation also leads to improved sterical fit for other ligand placements, the placement as observed in the crystal structure could still be identified as the site with the most favorable sterical interactions. Because relaxation in the harmonic modes is orders of magnitude faster than conventional energy minimization using all atom coordinates as independent variables, the approach might be useful as a preselection tool to recognize ligand binding sites accessible only upon small conformational changes of the receptor. The harmonic mode relaxed structures can only be considered as approximate structures because deformation of the receptor in the harmonic modes can lead to small perturbations of the stereochemical geometry of the molecule. Energy minimization of preselected ligand–DNA docking candidates in all atom coordinates is required to reduce these deviations. ©1999 John Wiley & Sons, Inc. J Comput Chem 20: 287–300, 1999

[1]  A. N. Jain,et al.  Hammerhead: fast, fully automated docking of flexible ligands to protein binding sites. , 1996, Chemistry & biology.

[2]  William H. Press,et al.  Numerical recipes , 1990 .

[3]  J M Blaney,et al.  A geometric approach to macromolecule-ligand interactions. , 1982, Journal of molecular biology.

[4]  M. Karplus,et al.  Harmonic dynamics of proteins: normal modes and fluctuations in bovine pancreatic trypsin inhibitor. , 1983, Proceedings of the National Academy of Sciences of the United States of America.

[5]  R. Dickerson,et al.  Binding of Hoechst 33258 to the minor groove of B-DNA. , 1987, Journal of molecular biology.

[6]  Hans-Joachim Böhm,et al.  The computer program LUDI: A new method for the de novo design of enzyme inhibitors , 1992, J. Comput. Aided Mol. Des..

[7]  G. Ciccotti,et al.  Numerical Integration of the Cartesian Equations of Motion of a System with Constraints: Molecular Dynamics of n-Alkanes , 1977 .

[8]  Alexander V. Mitin,et al.  Iterative methods for the calculation of a few of the lowest eigenvalues and corresponding eigenvectors of the AX = λBX equation with real symmetric matrices of large dimension , 1994, J. Comput. Chem..

[9]  M Karplus,et al.  Molecular dynamics of an alpha-helical polypeptide: Temperature dependence and deviation from harmonic behavior. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[10]  B. Ramakrishnan,et al.  Binding of two distamycin A molecules in the minor groove of an alternating B–DNA duplex , 1994, Nature Structural Biology.

[11]  M. Levitt,et al.  Protein normal-mode dynamics: trypsin inhibitor, crambin, ribonuclease and lysozyme. , 1985, Journal of molecular biology.

[12]  M Karplus,et al.  HOOK: A program for finding novel molecular architectures that satisfy the chemical and steric requirements of a macromolecule binding site , 1994, Proteins.

[13]  Stephen Neidle,et al.  Crystallographic insights into DNA minor groove recognition by drugs , 1997 .

[14]  D. Goodsell,et al.  The crystal structure of C-C-A-T-T-A-A-T-G-G. Implications for bending of B-DNA at T-A steps. , 1994, Journal of molecular biology.

[15]  I. Kuntz,et al.  Molecular docking to ensembles of protein structures. , 1997, Journal of molecular biology.

[16]  J. Scott Dixon,et al.  A good ligand is hard to find: Automated docking methods , 1993 .

[17]  S Neidle,et al.  NMR and molecular modeling studies of the interaction of berenil and pentamidine with d(CGCAAATTTGCG)2. , 1993, European journal of biochemistry.

[18]  Thomas Lengauer,et al.  A fast flexible docking method using an incremental construction algorithm. , 1996, Journal of molecular biology.

[19]  M. Karplus,et al.  Method for estimating the configurational entropy of macromolecules , 1981 .

[20]  H M Berman,et al.  Crystal studies of B-DNA: the answers and the questions. , 1997, Biopolymers.

[21]  J A McCammon,et al.  Combined conformational search and finite-difference Poisson-Boltzmann approach for flexible docking. Application to an operator mutation in the lambda repressor-operator complex. , 1994, Journal of molecular biology.

[22]  P. Kollman,et al.  Molecular mechanical simulations on double intercalation of 9-amino acridine into d(CGCGCGC) X d(GCGCGCG): analysis of the physical basis for the neighbor-exclusion principle. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[23]  E. Prohofsky,et al.  Normal mode calculation of a netropsin–DNA complex: Effect of structural deformation on vibrational spectrum , 1995, Biopolymers.

[24]  T. C. Bruice,et al.  Microgonotropens and Their Interactions with DNA. 5. Structural Characterization of the 1:1 Complex of d(CGCAAATTTGCG)2 and Tren-Microgonotropen-b by 2D NMR Spectroscopy and Restrained Molecular Modeling , 1994 .

[25]  Fumio Hirata,et al.  The effects of solvent on the conformation and the collective motions of protein: normal mode analysis and molecular dynamics simulations of melittin in water and in vacuum , 1991 .

[26]  D. Wemmer,et al.  NMR Characterization of Hairpin Polyamide Complexes with the Minor Groove of DNA , 1997 .

[27]  R W Harrison,et al.  Variational calculation of the normal modes of a large macromolecule: methods and some initial results. , 1984, Biopolymers.

[28]  K. Zakrzewska,et al.  Influence of drug binding on DNA flexibility: a normal mode analysis. , 1997, Journal of biomolecular structure & dynamics.

[29]  N. Go,et al.  Effect of solvent on collective motions in globular protein. , 1993, Journal of molecular biology.

[30]  P. Kollman,et al.  Relative binding affinities of distamycin and its analog to d(CGCAAGTTGGC).d(GCCAACTTGCG): comparison of simulation results with experiment. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[31]  Dusanka Janezic,et al.  Harmonic analysis of large systems. I. Methodology , 1995, J. Comput. Chem..

[32]  J. Goodfellow,et al.  Conformation and dynamics of drug-DNA intercalation. , 1992, Journal of biomolecular structure & dynamics.

[33]  S. Neidle,et al.  Variability in DNA minor groove width recognised by ligand binding: the crystal structure of a bis-benzimidazole compound bound to the DNA duplex d(CGCGAATTCGCG)2. , 1995, Nucleic acids research.

[34]  H. Berendsen,et al.  Essential dynamics of proteins , 1993, Proteins.

[35]  Hans Böhm,et al.  Was läßt sich aus der molekularen Erkennung in Protein‐Ligand‐Komplexen für das Design neuer Wirkstoffe lernen? , 1996 .

[36]  N. Go,et al.  Dynamics of a small globular protein in terms of low-frequency vibrational modes. , 1983, Proceedings of the National Academy of Sciences of the United States of America.

[37]  R. Lavery,et al.  Poisson-Boltzmann calculations for nucleic acids and nucleic acids complexes , 1996 .

[38]  G. Vriend,et al.  Molecular docking using surface complementarity , 1996, Proteins.

[39]  B. Ramakrishnan,et al.  Crystal structures of B-form DNA–RNA chimers complexed with distamycin , 1995, Nature Structural Biology.

[40]  Pieter F. W. Stouten,et al.  A molecular mechanics/grid method for evaluation of ligand–receptor interactions , 1995, J. Comput. Chem..

[41]  H R Drew,et al.  Structure of a B-DNA dodecamer. III. Geometry of hydration. , 1981, Journal of molecular biology.

[42]  A. Wang,et al.  The molecular structure of the complex of Hoechst 33258 and the DNA dodecamer d(CGCGAATTCGCG). , 1988, Nucleic acids research.

[43]  Ronald M. Levy,et al.  Vibrational approach to the dynamics of an α‐helix , 1979 .

[44]  M Karplus,et al.  Dynamics of DNA oligomers. , 1983, Journal of biomolecular structure & dynamics.

[45]  K. Schulten,et al.  Molecular dynamics investigation of the interaction between DNA and distamycin. , 1991, Biochemistry.

[46]  K. Zakrzewska,et al.  Calculation and analysis of low frequency normal modes for DNA , 1997 .

[47]  Stephen C. Harvey,et al.  Analyzing the normal mode dynamics of macromolecules by the component synthesis method , 1992 .

[48]  T. Lybrand Ligand-protein docking and rational drug design. , 1995, Current Opinion in Structural Biology.

[49]  I. Kuntz,et al.  Structure-Based Molecular Design , 1994 .

[50]  D S Goodsell,et al.  Defining GC-specificity in the minor groove: side-by-side binding of the di-imidazole lexitropsin to C-A-T-G-G-C-C-A-T-G. , 1997, Structure.

[51]  D. Goodsell,et al.  Binding of an antitumor drug to DNA, Netropsin and C-G-C-G-A-A-T-T-BrC-G-C-G. , 1984, Journal of molecular biology.

[52]  A. Leach,et al.  Ligand docking to proteins with discrete side-chain flexibility. , 1994, Journal of molecular biology.