Host-Guest Ligand Binding Systems Ponder Lab Group Meeting December 3, 2014 Cucurbit[7]uril Parameterization DMA on MP2/6-311G(1d,1p) Density on CB5 Potential fit to MP2/6-311++G(2d,2p) MDQµ Fit = 0.147, Partial Charge Fit = 0.811 Absolute Free Energy of Binding Abind = Abound Asolv Abound Solvent Asolv CB7 Ligand vdW Electrostatic Restraint Double Decoupling with a Restraining Potential +U res ele =1 0 =1 0 vdW =1 0 U res Abound Asolv ele Solvent =1 0 CB7 vdW Ligand vdW Electrostatic Restraint Calculation Protocol Double decoupling molecular dynamics simulations Explicit water solvent (40A box) Free energy estimation by Bennett Acceptance Ratio Canonical ensemble (298K, 1-3ns trajectories per value) Restraining potential applied to bound decoupling simulations U res (r) = k(r r0 )2 k = 15 kcal mol-1 A-2; r = center-of-mass distance; r0 = average center-of-mass distance obtained from unrestrained bound simulations Soft-core buffered 14-7 vdW potentials U ij = 5 ij 0.7(1 1.07 7 )2 + ( + 0.07)7 0.7(1 1.12 2 2 ) + ( + 1.12) Computed Free Energy Values (kcal/mol) SAMPL CB7 Overall Results -17 Statistics: -15 Average Signed Error = 0.66 kcal/mol -13 Average Unsigned Error = 1.69 kcal/mol -11 RMS Error = 2.27 kcal/mol -9 Kendall Tau = 0.62 -7 -5 R-value = 0.82 1:1 -3 -1 -1 -3 -5 -7 -9 -11 -13 -15 Experimental Free Energy Values (kcal/mol) -17 Reasonable Binding Estimates Computed Free Energy Values (kcal/mol) -17 -15 -13 -11 -9 -7 -5 1:1 -3 -1 -1 -3 -5 -7 -9 -11 -13 -15 Experimental Free Energy Values (kcal/mol) -17 Overpredicted as Tight Binders Computed Free Energy Values (kcal/mol) -17 -15 -13 -11 -9 -7 -5 1:1 -3 -1 -1 -3 -5 -7 -9 -11 -13 -15 Experimental Free Energy Values (kcal/mol) -17 Underpredicted as Loose Binders Computed Free Energy Values (kcal/mol) -17 -15 -13 -11 -9 -7 -5 1:1 -3 -1 -1 -3 -5 -7 -9 -11 -13 -15 Experimental Free Energy Values (kcal/mol) -17 Lessons from Free Energy Prediction &ULWLFDO Dspects for ELQGLQJ calculations: Force field DFFXUDF\ Sampling method / efficiency Binding mode Salt effectV S+ Periodic boundary effectV 6L]H GHSHQGHQFH Reviews K. N. Houk et al. Thermodynamic Organic Complexes Binding Affinities of Host–Guest, Protein–Ligand, and Protein–Transition-State Complexes K. N. Houk,* Andrew G. Leach, Susanna P. Kim, and Xiyun Zhang Keywords: binding affinities · enthalpy/entropy compensation · enzyme catalysis · host–guest systems · solvent-accessible surface area In memory of Donald J. Cram Angewandte Chemie 4872 2003 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim DOI: 10.1002/anie.200200565 Angew. Chem. Int. Ed. 2003, 42, 4872 – 4897 Reviews H.-J. Schneider Supramolecular Chemistry DOI: 10.1002/anie.200802947 Binding Mechanisms in Supramolecular Complexes Hans-Jrg Schneider* Keywords: drug design · host–guest systems · noncovalent interactions · reaction mechanisms · supramolecular chemistry Angewandte Chemie 3924 www.angewandte.org 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim Angew. Chem. Int. Ed. 2009, 48, 3924 – 3977 Reviews D. H. Williams et al. Ligand Binding Energies Understanding Noncovalent Interactions: Ligand Binding Energy and Catalytic Efficiency from LigandInduced Reductions in Motion within Receptors and Enzymes Dudley H. Williams,* Elaine Stephens, Dominic P. OBrien, and Min Zhou Keywords: enthalpy/entropy compensation · enzyme catalysis · noncovalent interactions · receptors · signal transduction Angewandte Chemie 6596 2004 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim DOI: 10.1002/anie.200300644 Angew. Chem. Int. Ed. 2004, 43, 6596 – 6616 Reviews C. A. Hunter Molecular Recognition Quantifying Intermolecular Interactions: Guidelines for the Molecular Recognition Toolbox Christopher A. Hunter* Keywords: formation enthalpy · hydrogen bonds · molecular recognition · solvent effects · statistical thermodynamics Dedicated to Professor Dudley H. Williams Angewandte Chemie 5310 2004 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim DOI: 10.1002/anie.200301739 Angew. Chem. Int. Ed. 2004, 43, 5310 – 5324 Cyclodextrins: α-, β- and γ-Forms α-Cyclodextrin + p-Hydroxybenzoic Acid Cyclodextrin Ligand Binding Distribution Binding Constants by System Type Binding Constants by System Type “Enzymes are molecules that are complimentary in structure to the activiated complexes of the reactions that they catalyze ... [rather than] entering into reactions.” Linus Pauling, The Nature of Forces between Large Molecules of Biological Interest, Nature 161, 707-709 (1948) Binding vs Buried Surface Area Williams’ Magic Binding Formula Translation-Rotation Energy Penalty Binding to Vancomycin/Ristocetin A