Molecular
Recognition in a Diverse Set of Protein–Ligand
Interactions Studied with Molecular Dynamics Simulations and End-Point
Free Energy Calculations
posted on 2013-10-28, 00:00authored byBo Wang, Liwei Li, Thomas D. Hurley, Samy O. Meroueh
End-point
free energy calculations using MM-GBSA and MM-PBSA provide
a detailed understanding of molecular recognition in protein–ligand
interactions. The binding free energy can be used to rank-order protein–ligand
structures in virtual screening for compound or target identification.
Here, we carry out free energy calculations for a diverse set of 11
proteins bound to 14 small molecules using extensive explicit-solvent
MD simulations. The structure of these complexes was previously solved
by crystallography and their binding studied with isothermal titration
calorimetry (ITC) data enabling direct comparison to the MM-GBSA and
MM-PBSA calculations. Four MM-GBSA and three MM-PBSA calculations
reproduced the ITC free energy within 1 kcal·mol–1 highlighting the challenges in reproducing the absolute free energy
from end-point free energy calculations. MM-GBSA exhibited better
rank-ordering with a Spearman ρ of 0.68 compared
to 0.40 for MM-PBSA with dielectric constant (ε = 1). An increase
in ε resulted in significantly better rank-ordering for MM-PBSA
(ρ = 0.91 for ε = 10), but larger ε
significantly reduced the contributions of electrostatics, suggesting
that the improvement is due to the nonpolar and entropy components,
rather than a better representation of the electrostatics. The SVRKB
scoring function applied to MD snapshots resulted in excellent rank-ordering
(ρ = 0.81). Calculations of the configurational
entropy using normal-mode analysis led to free energies that correlated
significantly better to the ITC free energy than the MD-based quasi-harmonic
approach, but the computed entropies showed no correlation with the
ITC entropy. When the adaptation energy is taken into consideration
by running separate simulations for complex, apo, and ligand (MM-PBSAADAPT), there is less agreement with the ITC data for the individual
free energies, but remarkably good rank-ordering is observed (ρ = 0.89). Interestingly, filtering MD snapshots by
prescoring protein–ligand complexes with a machine learning-based
approach (SVMSP) resulted in a significant improvement in the MM-PBSA
results (ε = 1) from ρ = 0.40 to ρ = 0.81. Finally, the nonpolar components of MM-GBSA
and MM-PBSA, but not the electrostatic components, showed strong correlation
to the ITC free energy; the computed entropies did not correlate with
the ITC entropy.