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In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...
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Updated: Jun 28, 2025

Quantitative Structure-Activity Relationship, Activity Prediction, and Molecular Dynamics of Non-nucleotide Reverse Transcriptase Inhibitors
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On Analytical Corrections for Restraints in Absolute Binding Free Energy Calculations.

Stefan Boresch1

  • 1Department of Chemistry, University of Vienna, Währinger Straße 17, A-1090 Vienna, Austria.

Journal of Chemical Information and Modeling
|April 19, 2024
PubMed
Summary

Double decoupling simulations need an intermediate state with restraints. The rigid rotator harmonic oscillator approximation analytical correction adequately addresses the free energy cost of these restraints.

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Area of Science:

  • Computational chemistry
  • Molecular modeling
  • Biophysics

Background:

  • Absolute binding free energy calculations are crucial for drug discovery.
  • Double decoupling is a common method for these calculations.
  • An intermediate state with restraints is required, but its free energy cost is often complex to determine.

Purpose of the Study:

  • To evaluate the accuracy of the rigid rotator harmonic oscillator (RRHO) approximation for correcting the free energy of restraints in the intermediate state of double decoupling simulations.
  • To determine if a simplified analytical correction is sufficient for practical applications.

Main Methods:

  • The study focuses on the analytical correction derived from the rigid rotator harmonic oscillator approximation.
  • This method is applied to account for the free energy contribution of restraints (one distance, two angle, three dihedral) in the intermediate state.
  • The methodology assumes the ligand is held in a position and orientation resembling the bound state.

Main Results:

  • The analytical correction derived under the rigid rotator harmonic oscillator approximation is demonstrated to be sufficient in practically all cases.
  • This correction effectively accounts for the free energy associated with the employed restraints.
  • The findings suggest that complex or computationally intensive methods for restraint free energy calculation may not be necessary.

Conclusions:

  • The RRHO approximation provides a reliable and sufficient analytical correction for the free energy of restraints in double decoupling simulations.
  • This simplifies the process of absolute binding free energy calculations.
  • The study validates a computationally efficient approach for a critical step in molecular simulations.