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Developing end-point methods for absolute binding free energy calculation using the Boltzmann-quasiharmonic model
Lauren Wickstrom1, Emilio Gallicchio2,3,4, Lieyang Chen3,4,5
1Borough of Manhattan Community College, The City University of New York, Department of Science, New York, New York, USA.
A new method, Effective Energy-Boltzmann-Quasiharmonic (EE-BQH), accurately estimates receptor-ligand binding free energy by analyzing configurational entropy and solvation. This approach offers insights into binding thermodynamics, crucial for drug discovery.
Area of Science:
- Computational Chemistry
- Molecular Dynamics
- Biophysics
Background:
- Accurate analysis of receptor-ligand binding thermodynamics is essential for understanding biological processes and drug development.
- End-point binding free energy methods offer a way to decompose binding energy into physically meaningful components, aiding interpretation.
Purpose of the Study:
- To introduce and validate a novel end-point method, EE-BQH (Effective Energy-Boltzmann-Quasiharmonic), for calculating absolute binding free energies.
- To compare the performance of EE-BQH with other configurational entropy treatments (QHIC, QHCC, NMA) and solvation models (PBSA, 3D-RISM).
Main Methods:
- The EE-BQH method combines the Boltzmann-Quasiharmonic model for configurational entropy with solvation free energy calculations.
- Evaluated on octa acids host-guest complexes from the SAMPL8 blind challenge.
- Compared results with potential of mean force (PMF) estimates and experimental data.
Main Results:
- The accuracy of binding free energy calculations is highly dependent on the chosen configurational entropy and solvation methods.
- QHIC and BQH showed the best agreement with PMF estimates (R² ~0.7) and experimental data.
- 3D-RISM underestimated absolute binding free energies, though it correlated reasonably with PMF and experimental results.
Conclusions:
- The EE-BQH method shows promise for providing insights into binding thermodynamics, especially for complex protein-ligand systems.
- Configurational entropy plays a critical role in determining binding affinity.
- The choice of methods for calculating configurational entropy and solvation significantly impacts the accuracy of binding free energy predictions.
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The interconnection between standard cell potentials and various thermodynamic parameters such as the standard free energy change ΔG° and equilibrium constant K has been previously explored. For example, a redox reaction involving zinc(II) and tin(II) ions at 1 M concentration with Eºcell = +0.291 V and ΔG° = −56.2 kJ is spontaneous.

