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Protocols utilizing constant pH molecular dynamics to compute pH-dependent binding free energies.

M Olivia Kim1, Patrick G Blachly, Joseph W Kaus

  • 1Department of Chemistry and Biochemistry, University of California San Diego , La Jolla, California 92093, United States.

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Summary

This study introduces a new computational method to accurately calculate pH-dependent binding free energies in host-guest systems. The approach accounts for protonation changes during binding, improving predictions for protein-ligand interactions.

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Area of Science:

  • Biochemistry
  • Computational Chemistry
  • Molecular Dynamics

Background:

  • Protein-ligand binding can alter electrostatic environments, leading to protonation changes.
  • Ligand binding can be pH-dependent if proton uptake or release occurs.
  • Standard free energy calculations often neglect protonation state changes.

Purpose of the Study:

  • To develop a computational methodology for calculating pH-dependent binding free energies.
  • To account for protonation changes during molecular binding events.
  • To apply the method to cucurbit[7]uril (CB[7]) host-guest systems.

Main Methods:

  • Utilized Wyman's binding polynomial formalism.
  • Employed constant pH molecular dynamics simulations.
  • Integrated experimental or thermodynamic integration data for reference binding free energy.

Main Results:

  • Accurately captured significant pKa shifts upon CB[7]:guest association.
  • Reproduced experimental binding free energies across various pH levels.
  • Demonstrated that fixed protonation states can introduce >2 kcal/mol errors.

Conclusions:

  • The presented computational protocol effectively determines proton-linked binding free energies.
  • This method improves accuracy in host-guest systems and is applicable to protein-ligand complexes.
  • Avoids errors associated with assuming fixed protonation states in calculations.