Journal of Computer-Aided Molecular Design

, Volume 28, Issue 4, pp 463–474 | Cite as

Blind prediction of SAMPL4 cucurbit[7]uril binding affinities with the mining minima method

  • Hari S. Muddana
  • Jian Yin
  • Neil V. Sapra
  • Andrew T. Fenley
  • Michael K. Gilson
Article

Abstract

Accurate methods for predicting protein–ligand binding affinities are of central interest to computer-aided drug design for hit identification and lead optimization. Here, we used the mining minima (M2) method to predict cucurbit[7]uril binding affinities from the SAMPL4 blind prediction challenge. We tested two different energy models, an empirical classical force field, CHARMm with VCharge charges, and the Poisson–Boltzmann surface area solvation model; and a semiempirical quantum mechanical (QM) Hamiltonian, PM6-DH+, coupled with the COSMO solvation model and a surface area term for nonpolar solvation free energy. Binding affinities based on the classical force field correlated strongly with the experiments with a correlation coefficient (R2) of 0.74. On the other hand, binding affinities based on the QM energy model correlated poorly with experiments (R2 = 0.24), due largely to two major outliers. As we used extensive conformational search methods, these results point to possible inaccuracies in the PM6-DH+ energy model or the COSMO solvation model. Furthermore, the different binding free energy components, solute energy, solvation free energy, and configurational entropy showed significant deviations between the classical M2 and quantum M2 calculations. Comparison of different classical M2 free energy components to experiments show that the change in the total energy, i.e. the solute energy plus the solvation free energy, is the key driving force for binding, with a reasonable correlation to experiment (R2 = 0.56); however, accounting for configurational entropy further improves the correlation.

Keywords

SAMPL4 Supramolecular Binding affinity Host–guest Force field Semiempirical quantum 

Notes

Acknowledgments

This study was made possible in part by grant GM61300 from the NIGMS. Its contents are solely the responsibility of the authors and do not necessarily represent the official views of the NIH. Principal Investigator M.K.G. is a founder of and has an equity interest in VeraChem LLC. Although grant GM61300 has been identified for conflict of interest management based on the overall scope of the project and its potential benefit to VeraChem LLC, the research findings included in this particular publication may not necessarily relate to the interests of VeraChem LLC. The terms of this arrangement have been reviewed and approved by the University of California, San Diego in accordance with its conflict of interest policies.

References

  1. 1.
    Jorgensen WL (2004) The many roles of computation in drug discovery. Science 303(5665):1813–1818CrossRefGoogle Scholar
  2. 2.
    Gilson MK, Zhou HX (2007) Calculation of protein–ligand binding affinities. Annu Rev Biophys Biomol 36:21–42CrossRefGoogle Scholar
  3. 3.
    Hawkins PCD, Skillman AG, Nicholls A (2007) Comparison of shape-matching and docking as virtual screening tools. J Med Chem 50(1):74–82CrossRefGoogle Scholar
  4. 4.
    Jorgensen WL (2009) Efficient drug lead discovery and optimization. Acc Chem Res 42(6):724–733CrossRefGoogle Scholar
  5. 5.
    Guthrie JP (2009) A blind challenge for computational solvation free energies: introduction and overview. J Phys Chem B 113(14):4501–4507CrossRefGoogle Scholar
  6. 6.
    Geballe MT, Skillman AG, Nicholls A, Guthrie JP, Taylor PJ (2010) The SAMPL2 blind prediction challenge: introduction and overview. J Comput Aided Mol Des 24(4):259–279CrossRefGoogle Scholar
  7. 7.
    Geballe MT, Guthrie JP (2012) The SAMPL3 blind prediction challenge: transfer energy overview. J Comput Aided Mol Des 26(5):489–496CrossRefGoogle Scholar
  8. 8.
    Muddana HS, Varnado CD, Bielawski CW, Urbach AR, Isaacs L, Geballe MT, Gilson MK (2012) Blind prediction of host–guest binding affinities: a new SAMPL3 challenge. J Comput Aided Mol Des 26(5):475–487CrossRefGoogle Scholar
  9. 9.
    Skillman AG (2012) SAMPL3: blinded prediction of host–guest binding affinities, hydration free energies, and trypsin inhibitors. J Comput Aided Mol Des 26(5):473–474CrossRefGoogle Scholar
  10. 10.
    Mobley DL, Liu S, Lim NM, Deng N, Branson K, Perryman AL, Forli S, Levy RM, Gallicchio E, Olson AS (2014) Blind prediction of HIV integrase binding from the SAMPL4 challenge. J Comput Aided Mol Des Google Scholar
  11. 11.
    Snow CD, Sorin EJ, Rhee YM, Pande VS (2005) How well can simulation predict protein folding kinetics and thermodynamics? Annu Rev Biophys Biomol 34:43–69CrossRefGoogle Scholar
  12. 12.
    Chen W, Chang CE, Gilson MK (2004) Calculation of cyclodextrin binding affinities: energy, entropy, and implications for drug design. Biophys J 87(5):3035–3049CrossRefGoogle Scholar
  13. 13.
    Macartney DH (2011) Encapsulation of drug molecules by cucurbiturils: effects on their chemical properties in aqueous solution. Isr J Chem 51(5–6):600–615CrossRefGoogle Scholar
  14. 14.
    Koner AL, Nau WM (2007) Cucurbituril encapsulation of fluorescent dyes. Supramol Chem 19(1–2):55–66CrossRefGoogle Scholar
  15. 15.
    Muddana HS, Fenley AT, Mobley DL, Gilson MK (2014) Blind prediction of the host–guest binding affinities from the SAMPL4 challenge. J Comput Aided Mol DesGoogle Scholar
  16. 16.
    Moghaddam S, Yang C, Rekharsky M, Ko YH, Kim K, Inoue Y, Gilson MK (2011) New ultrahigh affinity host–guest complexes of cucurbit[7]uril with bicyclo[2.2.2]octane and adamantane guests: thermodynamic analysis and evaluation of M2 affinity calculations. J Am Chem Soc 133(10):3570–3581CrossRefGoogle Scholar
  17. 17.
    Moghaddam S, Inoue Y, Gilson MK (2009) Host–guest complexes with protein–ligand-like affinities: computational analysis and design. J Am Chem Soc 131(11):4012–4021CrossRefGoogle Scholar
  18. 18.
    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(5):517–525CrossRefGoogle Scholar
  19. 19.
    Muddana HS, Gilson MK (2012) Calculation of host–guest binding affinities using a quantum-mechanical energy model. J Chem Theory Comput 8(6):2023–2033CrossRefGoogle Scholar
  20. 20.
    Chang CE, Gilson MK (2004) Free energy, entropy, and induced fit in host–guest recognition: calculations with the second-generation mining minima algorithm. J Am Chem Soc 126(40):13156–13164CrossRefGoogle Scholar
  21. 21.
    Head MS, Given JA, Gilson MK (1997) ‘‘Mining minima’’: direct computation of conformational free energy. J Phys Chem A 101(8):1609–1618CrossRefGoogle Scholar
  22. 22.
    Chang CE, Potter MJ, Gilson MK (2003) Calculation of molecular configuration integrals. J Phys Chem B 107(4):1048–1055CrossRefGoogle Scholar
  23. 23.
    Hill TL (1986) An introduction to statistical thermodynamics. Dover, New YorkGoogle Scholar
  24. 24.
    Zhou HX, Gilson MK (2009) Theory of free energy and entropy in noncovalent binding. Chem Rev 109(9):4092–4107CrossRefGoogle Scholar
  25. 25.
    Fenley AT, Muddana HS, Gilson MK (2012) Entropy–enthalpy transduction caused by conformational shifts can obscure the forces driving protein–ligand binding. Proc Natl Acad Sci USA 109(49):20006–20011CrossRefGoogle Scholar
  26. 26.
    Momany FA, Rone R (1992) Validation of the general-purpose quanta(R)3.2/charmm(R) force-field. J Comput Chem 13(7):888–900CrossRefGoogle Scholar
  27. 27.
    Gilson MK, Gilson HSR, Potter MJ (2003) Fast assignment of accurate partial atomic charges: an electronegativity equalization method that accounts for alternate resonance forms. J Chem Inf Comput Sci 43(6):1982–1997CrossRefGoogle Scholar
  28. 28.
    Trott O, Olson AJ (2010) AutoDock Vina: improving the speed and accuracy of docking with a new scoring function, efficient optimization, and multithreading. J Comput Chem 31(2):455–461Google Scholar
  29. 29.
    Chang CE, Gilson MK (2003) Tork: conformational analysis method for molecules and complexes. J Comput Chem 24(16):1987–1998CrossRefGoogle Scholar
  30. 30.
    Chen W, Huang J, Gilson MK (2004) Identification of symmetries in molecules and complexes. J Chem Inf Comput Sci 44(4):1301–1313CrossRefGoogle Scholar
  31. 31.
    Qiu D, Shenkin PS, Hollinger FP, Still WC (1997) The GB/SA continuum model for solvation. A fast analytical method for the calculation of approximate Born radii. J Phys Chem A 101(16):3005–3014CrossRefGoogle Scholar
  32. 32.
    Still WC, Tempczyk A, Hawley RC, Hendrickson T (1990) Semianalytical treatment of solvation for molecular mechanics and dynamics. J Am Chem Soc 112(16):6127–6129CrossRefGoogle Scholar
  33. 33.
    Gilson MK, Honig B (1988) Calculation of the total electrostatic energy of a macromolecular system—solvation energies, binding-energies, and conformational-analysis. Proteins 4(1):7–18CrossRefGoogle Scholar
  34. 34.
    Madura JD, Briggs JM, Wade RC, Davis ME, Luty BA, Ilin A, Antosiewicz J, Gilson MK, Bagheri B, Scott LR, Mccammon JA (1995) Electrostatics and diffusion of molecules in solution—simulations with the University-of-Houston Brownian dynamics program. Comput Phys Commun 91(1–3):57–95CrossRefGoogle Scholar
  35. 35.
    Lee B, Richards FM (1971) The interpretation of protein structures: estimation of static accessibility. J Mol Biol 55 (3):379–IN374Google Scholar
  36. 36.
    Rezac J, Fanfrlik J, Salahub D, Hobza P (2009) Semiempirical quantum chemical PM6 method augmented by dispersion and H-bonding correction terms reliably describes various types of noncovalent complexes. J Chem Theory Comput 5(7):1749–1760CrossRefGoogle Scholar
  37. 37.
    Korth M, Pitonak M, Rezac J, Hobza P (2010) A transferable H-bonding correction for semiempirical quantum-chemical methods. J Chem Theory Comput 6(1):344–352CrossRefGoogle Scholar
  38. 38.
    Korth M (2010) Third-generation hydrogen-bonding corrections for semiempirical QM methods and force fields. J Chem Theory Comput 6(12):3808–3816CrossRefGoogle Scholar
  39. 39.
    Klamt A, Schuurmann G (1993) Cosmo—a new approach to dielectric screening in solvents with explicit expressions for the screening energy and its gradient. J Chem Soc Perk Trans 2(5):799–805CrossRefGoogle Scholar
  40. 40.
    Mohamadi F, Richards NGJ, Guida WC, Liskamp R, Lipton M, Caufield C, Chang G, Hendrickson T, Still WC (1990) Macromodel—an integrated software system for modeling organic and bioorganic molecules using molecular mechanics. J Comput Chem 11(4):440–467CrossRefGoogle Scholar
  41. 41.
    Kolossvary I, Guida WC (1996) Low mode search. An efficient, automated computational method for conformational analysis: application to cyclic and acyclic alkanes and cyclic peptides. J Am Chem Soc 118(21):5011–5019CrossRefGoogle Scholar
  42. 42.
    Stewart JJP (1990) Mopac—a semiempirical molecular-orbital program. J Comput Aided Mol Des 4(1):1–45CrossRefGoogle Scholar
  43. 43.
    Friedman RA, Honig B (1995) A free energy analysis of nucleic acid base stacking in aqueous solution. Biophys J 69(4):1528–1535CrossRefGoogle Scholar
  44. 44.
    Muddana HS, Sapra NV, Fenley AT, Gilson MK (2013) The electrostatic response of water to neutral polar solutes: implications for continuum solvent modeling. J Chem Phys 138(22):224504CrossRefGoogle Scholar
  45. 45.
    Zhou RH (2003) Free energy landscape of protein folding in water: explicit vs. implicit solvent. Proteins 53(2):148–161Google Scholar
  46. 46.
    Nymeyer H, Garcia AE (2003) Simulation of the folding equilibrium of alpha-helical peptides: a comparison of the generalized born approximation with explicit solvent. Proc Natl Acad Sci USA 100(24):13934–13939CrossRefGoogle Scholar
  47. 47.
    Ong W, Kaifer AE (2004) Salt effects on the apparent stability of the cucurbit[7]uril–methyl viologen inclusion complex. J Org Chem 69(4):1383–1385CrossRefGoogle Scholar
  48. 48.
    Liu SM, Ruspic C, Mukhopadhyay P, Chakrabarti S, Zavalij PY, Isaacs L (2005) The cucurbit[n]uril family: prime components for self-sorting systems. J Am Chem Soc 127(45):15959–15967CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Hari S. Muddana
    • 1
  • Jian Yin
    • 1
  • Neil V. Sapra
    • 1
  • Andrew T. Fenley
    • 1
  • Michael K. Gilson
    • 1
  1. 1.Skaggs School of Pharmacy and Pharmaceutical SciencesUniversity of California San DiegoLa JollaUSA

Personalised recommendations