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Predicting Absolute Ligand Binding Free Energies to a Simple Model Site
Open accessAbstract
A central challenge in structure-based ligand design is the accurate prediction of binding free energies. Here we apply alchemical free energy calculations in explicit solvent to predict ligand binding in a model cavity in T4 lysozyme. Even in this simple site, there are challenges. We made systematic improvements, beginning with single poses from docking, then including multiple poses, additional protein conformational changes, and using an improved charge model. Computed absolute binding free energies had an RMS error of 1.9 kcal/mol relative to previously determined experimental values. In blind prospective tests, the methods correctly discriminated between several true ligands and decoys in a set of putative binders identified by docking. In these prospective tests, the RMS error in predicted binding free energies relative to those subsequently determined experimentally was only 0.6 kcal/mol. X-ray crystal structures of the new ligands bound in the cavity corresponded closely to predictions from the free energy calculations, but sometimes differed from those predicted by docking. Finally, we examined the impact of holding the protein rigid, as in docking, with a view to learning how approximations made in docking affect accuracy and how they may be improved.
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“More rigorous free energy methods such as alchemical binding free energy calculations have become established for the computation of binding free energies of small molecules to proteins with MD.55−60”
From Assessment of the Topology and Oligomerisation States of Coiled Coils Using Metadynamics with Conformational Restraints (2025) · cites this paper as [55]
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“Previously, we also applied similar alchemical methods to computing binding free energies in a predictive context [3, 20] One message from our hydration free energy studies so far in explicit solvent (with fixed-charge force fields) has been that we can expect an RMS error relative to experiment in the 1–2 kcal/mol ra…”
MethodSelf-citationMeli, R., Morris, G. M., & Biggin, P. C. (2022) · Frontiers in Bioinformatics · doi:10.3389/fbinf.2022.885983 · Cited by 176
Hummer, G. (2010) · Nature Chemistry · doi:10.1038/nchem.885 · Cited by 119
Computational Approaches for Fragment-Based and De Novo Design
Loving, K. A., Alberts, I. L., & Sherman, W. (2010) · Current Topics in Medicinal Chemistry · doi:10.2174/156802610790232305 · Cited by 111
The Free Energy Landscape of Small Molecule Unbinding
Huang, D., & Caflisch, A. (2011) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1002002 · Cited by 116
“Other computational and experimental studies have also reported and analyzed multiple binding modes [56,57,58].”
BackgroundWang, K., Chodera, J., Yang, Y., & Shirts, M. (2013) · Journal of Computer-Aided Molecular Design · doi:10.1007/s10822-013-9689-8 · Cited by 115
“This model system has been widely used by a number of researchers to test the accuracy of free energy methods [15, 16, 42].”
BackgroundMethodResultInfluentialSelf-citationThe nature of DNA-base-carbon-nanotube interactions.
Johnson, R. R., Johnson, A. T. C., & Klein, M. (2010) · Small · doi:10.1002/smll.200901481 · Cited by 113
Recent Theoretical and Computational Advances for Modeling Protein-Ligand Binding Affinities
Gallicchio, E., & Levy, R. (2011) · Advances in Protein Chemistry and Structural Biology · doi:10.1016/b978-0-12-386485-7.00002-8 · Cited by 112
“In a number of cases, it was shown that including these terms improved the accuracy of binding affinity predictions (Mobley et al., 2007a,b; Boyce et al., 2009) Similarly, a two-dimensional Hamiltonian RE FEP approach has been proposed to soften side-chain torsional barriers ( Jiang and Roux, 2010).”
InfluentialBakan, A., Nevins, N., Lakdawala, A. S., & Bahar, İ. (2012) · Journal of Chemical Theory and Computation · doi:10.1021/ct300117j · Cited by 167
Chen, W., Cui, D., Jerome, S. V., Michino, M., Lenselink, E. B., Huggins, D. J., Beautrait, A., Vendôme, J., Abel, R., Friesner, R. A., et al. (2023) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.3c00013 · Cited by 123
Bruckner, S., & Boresch, S. (2011) · Journal of Computational Chemistry · doi:10.1002/jcc.21713 · Cited by 104
An Introduction to Best Practices in Free Energy Calculations
Shirts, M. R., & Mobley, D. L. (2012) · Methods in molecular biology · doi:10.1007/978-1-62703-017-5_11 · Cited by 115
Self-citationAccurate absolute free energies for ligand–protein binding based on non-equilibrium approaches
Gapsys, V., Yıldırım, A., Aldeghi, M., Khalak, Y., van der Spoel, D., & de Groot, B. L. (2021) · Communications Chemistry · doi:10.1038/s42004-021-00498-y · Cited by 123
A Real-World Perspective on Molecular Design
Kuhn, B., Guba, W., Hert, J., Banner, D. W., Bissantz, C., Ceccarelli, S., Haap, W. J., Körner, M., Kuglstatter, A., Lerner, C., et al. (2016) · Journal of Medicinal Chemistry · doi:10.1021/acs.jmedchem.5b01875 · Cited by 120
Allen, W. J., & Rizzo, R. C. (2014) · Journal of Chemical Information and Modeling · doi:10.1021/ci400534h · Cited by 107
“25 As an example, docking 1,2-dichlorobenzene to T4 lysozyme (PDB code 2OTY) 26 can yield chemically equivalent binding poses, yet di ff erent RMSD values (Figure 1).”
BackgroundKim, S., Oshima, H., Zhang, H., Kern, N. R., Re, S., Lee, J.-M., Roux, B., Sugita, Y., Jiang, W., & Im, W. (2020) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.0c00884 · Cited by 94
Parrish, R., & Sherrill, C. (2014) · Journal of Chemical Physics · doi:10.1063/1.4889855 · Cited by 90
Alchemical prediction of hydration free energies for SAMPL
Mobley, D. L., Liu, S., Cerutti, D. S., Swope, W. C., & Rice, J. E. (2011) · Journal of Computer-Aided Molecular Design · doi:10.1007/s10822-011-9528-8 · Cited by 73
Self-citationLet’s get honest about sampling
Mobley, D. (2011) · Journal of Computer-Aided Molecular Design · doi:10.1007/s10822-011-9497-y · Cited by 83
Self-citationAtomic resolution mechanism of ligand binding to a solvent inaccessible cavity in T4 lysozyme
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“The system has also served as benchmark system for many binding free energy calculations.[16,17] Despite the availability of macroscopic kinetic rate constants for aromatic ligand binding, high resolution structures of the bound and free forms of T4L L99A, and NMR spin relaxation data that indicate”
BackgroundSensitivity in binding free energies due to protein reorganization
Lim, N., Wang, L.-L., Abel, R., & Mobley, D. (2016) · bioRxiv · doi:10.1101/066621 · Cited by 73
Self-citationProtein storytelling through physics
Brini, E., Simmerling, C. L., & Dill, K. A. (2020) · Science · doi:10.1126/science.aaz3041 · Cited by 82
“Here are some of the advances ( 106 – 110 ): (i) A test of small ligands in different proteins .”
BackgroundSelf-citationComputational Investigation of Glycosylation Effects on a Family 1 Carbohydrate-binding Module*
Taylor, C. B., Talib, M., McCabe, C., Bu, L., Adney, W., Himmel, M., Crowley, M., & Beckham, G. (2011) · Journal of Biological Chemistry · doi:10.1074/jbc.m111.270389 · Cited by 69
Non‐Boltzmann sampling and Bennett's acceptance ratio method: How to profit from bending the rules
König, G., & Boresch, S. (2010) · Journal of Computational Chemistry · doi:10.1002/jcc.21687 · Cited by 70
Genheden, S., & Ryde, U. (2011) · Journal of Computational Chemistry · doi:10.1002/jcc.21546 · Cited by 69
Gill, S. C., Lim, N. M., Grinaway, P., Rustenburg, A. S., Fass, J., Ross, G. A., Chodera, J. D., & Mobley, D. L. (2018) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.7b11820 · Cited by 80
Self-citationUncertainty Quantification in Alchemical Free Energy Methods
Bhati, A. P., Wan, S., Hu, Y., Sherborne, B. S., & Coveney, P. V. (2018) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.7b01143 · Cited by 72
Escape of a Small Molecule from Inside T4 Lysozyme by Multiple Pathways
Nunes‐Alves, A., Zuckerman, D. M., & Arantes, G. M. (2018) · Biophysical Journal · doi:10.1016/j.bpj.2018.01.014 · Cited by 59
Jiang, W., Chipot, C. J., & Roux, B. (2019) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.9b00362 · Cited by 71
“13 Recent advances include incorporation of sampling enhancement algorithms 14–15 and implementation on graphical processing unit (GPU)-based architectures.”
BackgroundRelative Binding Free Energy Calculations Applied to Protein Homology Models
Cappel, D., Hall, M. L., Lenselink, E. B., Beuming, T., Qi, J., Bradner, J. E., & Sherman, W. (2016) · Journal of Chemical Information and Modeling · doi:10.1021/acs.jcim.6b00362 · Cited by 71
“For the three T4 lysozyme receptor structures, we used a dataset of 13 ligands with known experimental binding free energies obtained from the literature.(45) The ligands were pre-”
MethodHit identification and binding mode predictions by rigorous free energy simulations.
Michel, J., & Essex, J. (2008) · Journal of Medicinal Chemistry · doi:10.1021/jm800524s · Cited by 64
Structure-Based Drug Discovery
Tari, L. (2012) · Methods in Molecular Biology · doi:10.1007/978-1-61779-520-6 · Cited by 64
Pavlovicz, R. E., Park, H., & DiMaio, F. (2020) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1008103 · Cited by 68
“Simulations of proteins in explicit solvent have been successful in predicting folded conformations[2] as well as computing binding free energies[3] with high accuracy.”
BackgroundBiophysical Limits of Protein-Ligand Binding
Smith, R. D., Engdahl, A. L., Dunbar, J., & Carlson, H. A. (2012) · Journal of Chemical Information and Modeling · doi:10.1021/ci200612f · Cited by 62
Evaluating the use of absolute binding free energy in the fragment optimisation process
Alibay, I., Magarkar, A., Seeliger, D., & Biggin, P. (2022) · Communications Chemistry · doi:10.1038/s42004-022-00721-4 · Cited by 61
“4, the helicity of this loop region changes between the initial models used for ligands 3 – 20, 28 and 31 (PDB IDs: 2XDL and 2XAB) to the ones used for ligands 21 – 27, 29 – 30 (PDB ID: 2XHT and 2XHX).”
BackgroundMethodConformational Transitions and Convergence of Absolute Binding Free Energy Calculations
Lapelosa, M., Gallicchio, E., & Levy, R. (2012) · Journal of Chemical Theory and Computation · doi:10.1021/ct200684b · Cited by 60
Free-energy calculations in structure-based drug design
Shirts, M. R., Mobley, D. L., & Brown, S. P. (2010) · Cambridge University Press eBooks · doi:10.1017/cbo9780511730412.007 · Cited by 100
Self-citationSuitability of MMGBSA for the selection of correct ligand binding modes from docking results
Ahinko, M., Niinivehmas, S. P., Jokinen, E. M., & Pentikäinen, O. T. (2018) · Chemical Biology & Drug Design · doi:10.1111/cbdd.13446 · Cited by 68
“Especially in cases of multiple possible binding modes, this inability may cause a substantial decrease in the precision of the free energy calculation [24,25].”
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Blind Prediction of Charged Ligand Binding Affinities in a Model Binding Site
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“Previous blind predictive studies using this force field have suggested that free-energy calculations can predict binding affinities for hydrophobic and polar compounds if the proper ligand pose is sampled and calculations converge [6,10].”
InfluentialSelf-citationEffect of Input Differences on the Results of Docking Calculations
Feher, M., & Williams, C. (2009) · Journal of Chemical Information and Modeling · doi:10.1021/ci9000629 · Cited by 59
Challenges encountered applying equilibrium and non-equilibrium binding free energy calculationsPreprint
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Copernicus: A new paradigm for parallel adaptive molecular dynamics
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“Computer simulations of biomolecules, in particular proteins, have yielded fundamental insights into how these building blocks of life work [1], fold into functional form [15] and interact [14].”
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Metadata
- Authors
- Mobley, D. L., Graves, A. P., Chodera, J. D., McReynolds, A. C., Shoichet, B. K., & Dill, K. A.
- Affiliations
- University of California, San Francisco (US)
- Corresponding author
- Shoichet, Brian K.
- Dill, Ken A.
- Venue
- Journal of Molecular Biology
- Publisher
- Elsevier BV
- Published
- 2007-08
- Volume
- 371
- Issue
- 4
- Pages
- 1118-1134
- ISSN
- 0022-2836 (ISSN-L)
- PMC
- PMC2104542
- OpenAlex
- W2128494768
- Cited by
- 310
- References
- 0
- Citations by year
- 2026: 7 · 2025: 9 · 2024: 19 · 2023: 8 · 2022: 21 · 2021: 11 · 2020: 14 · 2019: 10 · 2018: 20 · 2017: 12 · 2016: 21 · 2015: 12 · 2014: 12 · 2013: 19 · 2012: 24
- FWCI
- 23.38
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Molecular Biology (publishedVersion)
- PubMed (publishedVersion)
- PubMed Central (acceptedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- Funders
- Howard Hughes Medical Institute
- National Institutes of Health (GM63592)
- U.S. Air Force
- University of California, San Francisco
- National Institute of General Medical Sciences (R01GM063592, R56GM063592, R01GM034993, GM59957, R01GM059957, GM63592)
- Topics
- Life Sciences › Pharmacology, Toxicology and Pharmaceutics › Drug Discovery › Computational Drug Discovery Methods
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Structure and Dynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Keywords
- absolute binding free energy, alchemical free energy calculations, T4 lysozyme, structure-based ligand design, explicit solvent, protein conformational change, charge model, docking, decoy discrimination, protein-ligand binding
- MeSH terms
- Binding Sites, Computer Simulation, Ligands, Models, Molecular, Protein Binding, Proteins, Temperature, Titrimetry, Protein Structure, Tertiary, Crystallography, X-Ray, Hydrophobic and Hydrophilic Interactions
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