We propose a free energy calculation method for receptor–ligand binding, which have multiple binding poses that avoids exhaustive enumeration of the poses. For systems with multiple binding poses, the standard procedure is to enumerate orientations of the binding poses, restrain the ligand to each orientation, and then, calculate the binding free energies for each binding pose. In this study, we modify a part of the thermodynamic cycle in order to sample a broader conformational space of the ligand in the binding site. This modification leads to more accurate free energy calculation without performing separate free energy simulations for each binding pose. We applied our modification to simple model host–guest systems as a test, which have only two binding poses, by using a single decoupling method (SDM) in implicit solvent. The results showed that the binding free energies obtained from our method without knowing the two binding poses were in good agreement with the benchmark results obtained by explicit enumeration of the binding poses. Our method is applicable to other alchemical binding free energy calculation methods such as the double decoupling method (DDM) in explicit solvent. We performed a calculation for a protein–ligand system with explicit solvent using our modified thermodynamic path. The results of the free energy simulation along our modified path were in good agreement with the results of conventional DDM, which requires a separate binding free energy calculation for each of the binding poses of the example of phenol binding to T4 lysozyme in explicit solvent. © 2019 Wiley Periodicals, Inc.
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NMR and computational studies of ammonium ion binding to dibenzo-18-crown-6
Dibenzo-18-crown-6 (DB18C6) is a single-crown ether that can act as a host for a guest ion. In an effort to illuminate the relationships among structure, dynamics, and thermodynamics of ligand binding in a simple model for understanding the affinity and specificity of ligand interactions, nuclear magnetic resonance (NMR) experiments and density functional theory (DFT) were used to study the interaction of DB18C6 with ammonium ion. 1H-NMR was used to follow the titration of DB18C6 with ammonium chloride in deuterated methanol, a solvent chosen for its amphipathic character. Ammonium ion binds strongly to DB18C6 with a dissociation equilibrium constant at least as low as ~ 10 - 6 M. DFT calculations were used to identify optimized conformations of bound and free DB18C6 and to estimate its binding energy with ammonium ion in implicit solvent. An approach is described that accounts for geometry relaxation in addition to solvation correction and basis set superposition error; to our knowledge, this is the first such report that includes the energy difference from optimizing species geometry. The lowest-energy conformer of free DB18C6 in implicit methanol acquires an open, W-shaped structure that is also the lowest-energy conformer found for the DB18C6-ammonium ion complex. These results form a foundation for further studies of this system by molecular dynamics simulations.
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- Award ID(s):
- 1659726
- PAR ID:
- 10407967
- Date Published:
- Journal Name:
- Structural chemistry
- Volume:
- 34
- Issue:
- 2023
- ISSN:
- 1572-9001
- Page Range / eLocation ID:
- 713-722
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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