Abstract
Herein, we report the absolute binding free energy calculations of CBClip complexes in the SAMPL5 blind challenge. Initial conformations of CBClip complexes were obtained using docking and molecular dynamics simulations. Free energy calculations were performed using thermodynamic integration (TI) with soft-core potentials and Bennett’s acceptance ratio (BAR) method based on a serial insertion scheme. We compared the results obtained with TI simulations with soft-core potentials and Hamiltonian replica exchange simulations with the serial insertion method combined with the BAR method. The results show that the difference between the two methods can be mainly attributed to the van der Waals free energies, suggesting that either the simulations used for TI or the simulations used for BAR, or both are not fully converged and the two sets of simulations may have sampled difference phase space regions. The penalty scores of force field parameters of the 10 guest molecules provided by CHARMM Generalized Force Field can be an indicator of the accuracy of binding free energy calculations. Among our submissions, the combination of docking and TI performed best, which yielded the root mean square deviation of 2.94 kcal/mol and an average unsigned error of 3.41 kcal/mol for the ten guest molecules. These values were best overall among all participants. However, our submissions had little correlation with experiments.
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Liao C, Sitzmann M, Pugliese A, Nicklaus MC (2011) Software and resources for computational medicinal chemistry. Future Med Chem 3:1057–1085
Homeyer N, Stoll F, Hillisch A, Gohlke H (2014) Binding free energy calculations for lead optimization: assessment of their accuracy in an industrial drug design context. J Chem Theory Comput 10:3331–3344
Sliwoski G, Kothiwale S, Meiler J, Lowe EW (2014) Computational methods in drug discovery. Pharmacol Rev 66:334–395
Shirts MR, Mobley DL, Brown SP (2010) Free-energy calculations in structure-based drug design. Drug Des Struct Ligand Based Approaches. doi:10.1017/CBO9780511730412.007
Kollman P (1993) Free energy calculations: applications to chemical and biochemical phenomena. Chem Rev 93:2395–2417
Chipot C, Pohorille A (2007) Free energy calculations. Springer, Berlin
Wang L et al (2015) Accurate and reliable prediction of relative ligand binding potency in prospective drug discovery by way of a modern free-energy calculation protocol and force field. J Am Chem Soc. doi:10.1021/ja512751q
Barrow SJ, Kasera S, Rowland MJ, Del Barrio J, Scherman OA (2015) Cucurbituril-based molecular recognition. Chem Rev 115:12320–12406
Muddana HS, Fenley AT, Mobley DL, Gilson MK (2014) The SAMPL4 host–guest blind prediction challenge: an overview. J Comput Aided Mol Des 28:305–317
Gallicchio E, Levy RM (2012) Prediction of SAMPL3 host–guest affinities with the binding energy distribution analysis method (BEDAM). J Comput Aided Mol Des 26:505–516
König G, Brooks BR (2012) Predicting binding affinities of host–guest systems in the SAMPL3 blind challenge: the performance of relative free energy calculations. J Comput Aided Mol Des 26:543–550
Muddana HS et al (2012) Blind prediction of host–guest binding affinities: a new SAMPL3 challenge. J Comput Aided Mol Des 26:475–487
Muddana HS, Gilson MK (2012) Prediction of SAMPL3 host–guest binding affinities: evaluating the accuracy of generalized force-fields. J Comput Aided Mol Des 26:517–525
Geballe MT, Guthrie JP (2012) The SAMPL3 blind prediction challenge: transfer energy overview. J Comput Aided Mol Des 26:489–496
Reinisch J, Klamt A, Diedenhofen M (2012) Prediction of free energies of hydration with COSMO-RS on the SAMPL3 data set. J Comput Aided Mol Des 26:669–673
Kulp JL III, Blumenthal SN, Wang Q, Bryan RL, Guarnieri F (2012) A fragment-based approach to the SAMPL3 Challenge. J Comput Aided Mol Des 26:583–594
Kumar A, Zhang KYJ (2012) Computational fragment-based screening using RosettaLigand: the SAMPL3 challenge. J Comput Aided Mol Des 26:603–616
König G, Pickard FC, Mei Y, Brooks BR (2014) Predicting hydration free energies with a hybrid QM/MM approach: an evaluation of implicit and explicit solvation models in SAMPL4. J Comput Aided Mol Des 28:245–257
Hsiao Y-W, Söderhjelm P (2014) Prediction of SAMPL4 host–guest binding affinities using funnel metadynamics. J Comput Aided Mol Des 28:443–454
Monroe JI, Shirts MR (2014) Converging free energies of binding in cucurbit [7] uril and octa-acid host–guest systems from SAMPL4 using expanded ensemble simulations. J Comput Aided Mol Des 28:401–415
Muddana HS, Yin J, Sapra NV, Fenley AT, Gilson MK (2014) Blind prediction of SAMPL4 cucurbit [7] uril binding affinities with the mining minima method. J Comput Aided Mol Des 28:463–474
Ellingson BA et al (2014) Efficient calculation of SAMPL4 hydration free energies using OMEGA, SZYBKI, QUACPAC, and Zap TK. J Comput Aided Mol Des 28:289–298
Manzoni F, Söderhjelm P (2014) Prediction of hydration free energies for the SAMPL4 data set with the AMOEBA polarizable force field. J Comput Aided Mol Des 28:235–244
Fu J, Liu Y, Wu J (2014) Fast prediction of hydration free energies for SAMPL4 blind test from a classical density functional theory. J Comput Aided Mol Des 28:299–304
Li L, Dill KA, Fennell CJ (2014) Testing the semi-explicit assembly model of aqueous solvation in the SAMPL4 challenge. J Comput Aided Mol Des 28:259–264
Gallicchio E et al (2015) BEDAM binding free energy predictions for the SAMPL4 octa-acid host challenge. J Comput Aided Mol Des 29:315–325
Beckstein O, Fourrier A, Iorga BI (2014) Prediction of hydration free energies for the SAMPL4 diverse set of compounds using molecular dynamics simulations with the OPLS-AA force field. J Comput Aided Mol Des 28:265–276
Park H (2014) Extended solvent-contact model approach to SAMPL4 blind prediction challenge for hydration free energies. J Comput Aided Mol Des 28:175–186
Mikulskis P et al (2014) Free-energy perturbation and quantum mechanical study of SAMPL4 octa-acid host–guest binding energies. J Comput Aided Mol Des 28:375–400
Sure R, Antony J, Grimme S (2014) Blind prediction of binding affinities for charged supramolecular host–guest systems: achievements and shortcomings of DFT-D3. J Phys Chem B 118:3431–3440
Mobley DL, Wymer KL, Lim NM, Guthrie JP (2014) Blind prediction of solvation free energies from the SAMPL4 challenge. J Comput Aided Mol Des 28:135–150
Gallicchio E et al (2014) Virtual screening of integrase inhibitors by large scale binding free energy calculations: the SAMPL4 challenge. J Comput Aided Mol Des 28:475–490
Mobley DL et al (2014) Blind prediction of HIV integrase binding from the SAMPL4 challenge. J Comput Aided Mol Des 28:327–345
Perryman AL, Santiago DN, Forli S, Santos-Martins D, Olson AJ (2014) Virtual screening with AutoDock Vina and the common pharmacophore engine of a low diversity library of fragments and hits against the three allosteric sites of HIV integrase: participation in the SAMPL4 protein–ligand binding challenge. J Comput Aided Mol Des 28:429–441
Hogues H, Sulea T, Purisima EO (2014) Exhaustive docking and solvated interaction energy scoring: lessons learned from the SAMPL4 challenge. J Comput Aided Mol Des 28:417–427
Sandberg L (2014) Predicting hydration free energies with chemical accuracy: the SAMPL4 challenge. J Comput Aided Mol Des 28:211–219
Ma D, Zavalij PY, Isaacs L (2010) Acyclic cucurbit[n]uril congeners are high affinity hosts. J Org Chem 75:4786–4795
Biedermann F et al (2010) Benzobis(imidazolium)-cucurbit[8]uril complexes for binding and sensing aromatic compounds in aqueous solution. Chem A Eur J 16:13716–13722
Naïm M et al (2007) Solvated interaction energy (SIE) for scoring protein–ligand binding affinities. 1. Exploring the parameter space. J Chem Inf Model 47:122–133
Zhang B, Isaacs L (2014) Acyclic cucurbit[n]uril-type molecular containers: influence of aromatic walls on their function as solubilizing excipients for insoluble drugs. J Med Chem 57:9554–9563
Gilberg L, Zhang B, Zavalij PY, Sindelar V, Isaacs L (2015) Acyclic cucurbit[n]uril-type molecular containers: influence of glycoluril oligomer length on their function as solubilizing agents. Org Biomol Chem 13:4041–4050
Lee JW, Samal S, Selvapalam N, Kim H-J, Kim K (2003) Cucurbituril homologues and\n derivatives: new opportunities\nin supramolecular chemistry. Acc Chem Res 36:621–630
Masson E, Ling X, Joseph R, Kyeremeh-Mensah L, Lu X (2012) Cucurbituril chemistry: a tale of supramolecular success. RSC Adv 2(4):1213–1247
Lee J, Scheraga HA, Rackovsky S (1997) New optimization method for conformational energy calculations on polypeptides: conformational space annealing. J Comput Chem 18:1222–1232
Shin W-H et al (2011) LigDockCSA: protein–ligand docking using conformational space annealing. J Comput Chem 32:3226–3232
Lee J et al (2011) De novo protein structure prediction by dynamic fragment assembly and conformational space annealing. Proteins Struct Funct Bioinform 79:2403–2417
Lee J, Gross SP, Lee J (2012) Modularity optimization by conformational space annealing. Phys Rev E 85:056702
Shin WH, Kim JK, Kim DS, Seok C (2013) GalaxyDock2: protein–ligand docking using beta-complex and global optimization. J Comput Chem 34:2647–2656
Shin W-H, Lee GR, Seok C (2015) Evaluation of GalaxyDock based on the community structure—activity resource 2013 and 2014 benchmark studies. J Chem Inf Model. doi:10.1021/acs.jcim.5b00309
Gilson MK, Given JA, Bush BL, McCammon JA (1997) The statistical-thermodynamic basis for computation of binding affinities: a critical review. Biophys J 72:1047–1069
Boresch S et al (2003) Absolute binding free energies: a quantitative approach for their calculation. J Phys Chem B 107(35):9535–9551
Fukunishi H, Watanabe O, Takada S (2002) On the Hamiltonian replica exchange method for efficient sampling of biomolecular systems: application to protein structure prediction. J Chem Phys 116:9058
Itoh SG, Okumura H (2013) Hamiltonian replica-permutation method and its applications to an alanine dipeptide and amyloid-β(29–42) peptides. J Comput Chem 34:2493–2497
Itoh SSG, Okumura H, Okamoto Y (2010) Replica-exchange method in van der Waals radius space: overcoming steric restrictions for biomolecules. J Chem Phys 132:134105
Bennett CH (1976) Efficient estimation of free energy differences from Monte Carlo data. J Comput Phys 22:245–268
König G, Hudson PS, Boresch S, Woodcock HL (2014) Multiscale free energy simulations: an efficient method for connecting classical MD simulations to QM or QM/MM free energies using Non-Boltzmann Bennett reweighting schemes. J Chem Theory Comput 10:1406–1419
Straatsma TP, Berendsen HJ, Postma JPM, Berendsen C, Postma PM (1986) Free energy of hydrophobic hydration: a molecular dynamics study of noble gases in water. J Chem Phys 85:6720–6727
Straatsma TP, Berendsen HJC (1988) Free energy of ionic hydration: analysis of a thermodynamic integration technique to evaluate free energy differences by molecular dynamics simulations. J Chem Phys 89:5876
Lee J, Miller BT, Brooks BR (2016) Computational scheme for pH-dependent binding free energy calculation with explicit solvent. Protein Sci 25:231–243
Karpen ME, Tobias DJ, Brooks CL (1993) Statistical clustering techniques for the analysis of long molecular dynamics trajectories: analysis of 2.2-ns trajectories of YPGDV. Biochemistry 32:412–420
Huey R, Morris GM, Olson AJ, Goodsell DS (2007) A semiempirical free energy force field with charge-based desolvation. J Comput Chem 28:1145–1152
Lee J, Lee I-H, Lee J (2003) Unbiased global optimization of Lennard-Jones clusters for N < or =201 using the conformational space annealing method. Phys Rev Lett 91:080201
Wang Q, Pang YP (2007) Accurate reproduction of 161 small-molecule complex crystal structures using the EUDOC program: expanding the use of EUDOC to supramolecular chemistry. PLoS One 2(6):e531
Brooks BR et al (2009) CHARMM: the biomolecular simulation program. J Comput Chem 30:1545–1614
Vanommeslaeghe K et al (2010) CHARMM general force field: a force field for drug-like molecules compatible with the CHARMM all-atom additive biological force fields. J Comput Chem 31:671–690
Yu W, He X, Vanommeslaeghe K, MacKerell AD (2012) Extension of the CHARMM general force field to sulfonyl-containing compounds and its utility in biomolecular simulations. J Comput Chem 33:2451–2468
Vanommeslaeghe K, MacKerell AD (2012) Automation of the CHARMM general force field (CGenFF) I: bond perception and atom typing. J Chem Inf Model 52:3144–3154
Vanommeslaeghe K, Raman EP, MacKerell AD (2012) Automation of the CHARMM general force field (CGenFF) II: assignment of bonded parameters and partial atomic charges. J Chem Inf Model 52:3155–3168
Boresch S, Bruckner S (2011) Avoiding the van der Waals endpoint problem using serial atomic insertion. J Comput Chem 32:2449–2458
Nose S, Nosé S (1984) A unified formulation of the constant temperature molecular dynamics methods. J Chem Phys 81:511
Hoover W (1985) Canonical dynamics: equilibrium phase-space distributions. Phys Rev A 31:1695–1697
Martyna GJ, Klein ML (1992) Nose–Hoover chains: the canonical ensemble via continuous dynamics. J Chem Phys 97(4):2635
Darden T, York D, Pedersen L (1993) Particle mesh Ewald: an N log(N) method for Ewald sums in large systems. J Chem Phys 98:10089
Ryckaert JP, Ciccotti G, Berendsen HJC (1977) Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes. J Comput Phys 23:327–341
Lee J, Miller BT, Damjanović A, Brooks BR (2014) Constant pH molecular dynamics in explicit solvent with enveloping distribution sampling and hamiltonian exchange. J Chem Theory Comput 10:2738–2750
Lee J, Miller BT, Damjanovic A, Brooks BR (2015) Enhancing constant-pH simulation in explicit solvent with a two-dimensional replica exchange method. J Chem Theory Comput 11:2560–2574
De Ruiter A, Boresch S, Oostenbrink C (2013) Comparison of thermodynamic integration and Bennett’s acceptance ratio for calculating relative protein–Ligand binding free energies. J Comput Chem 34:1024–1034
Bruckner S, Boresch S (2011) Efficiency of Alchemical free energy simulations. II. improvements for thermodynamic integration. J Comput Chem 32:1320–1333
Brun V (1953) A generalization of the formula of Simpson for non-equidistant ordinates. Nord Mat Tidskr 1:10–15
König G, Bruckner S, Boresch S (2009) Unorthodox uses of Bennett’s acceptance ratio method. J Comput Chem 30:1712–1718
König G, Boresch S (2011) Non-Boltzmann sampling and Bennett’s acceptance ratio method: how to profit from bending the rules. J Comput Chem 32:1082–1090
König G, Miller BT, Boresch S, Wu X, Brooks BR (2012) Enhanced sampling in free energy calculations: combining SGLD with the Bennett’s acceptance ratio and enveloping distribution sampling methods. J Chem Theory Comput 8:3650–3662
Mooney CZ, Duval RD, Duval R (1993) Bootstrapping: a nonparametric approach to statistical inference. Sage, NY
Zheng Z, Ucisik MN, Merz KM (2013) The movable type method applied to protein–ligand binding. J Chem Theory Comput 9:5526–5538
Acknowledgments
The authors would like to thank R. Pastor for stimulating discussions. The research was supported by the Intramural Research Program of the NIH, NHLBI. Computational resources and services used in this work were provided by the LoBoS cluster of the National Institutes of Health.
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Lee, J., Tofoleanu, F., Pickard, F.C. et al. Absolute binding free energy calculations of CBClip host–guest systems in the SAMPL5 blind challenge. J Comput Aided Mol Des 31, 71–85 (2017). https://doi.org/10.1007/s10822-016-9968-2
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DOI: https://doi.org/10.1007/s10822-016-9968-2