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Diffusive dynamics on multidimensional rough free energy surfaces.

Polina Banushkina1, Markus Meuwly

  • 1Department of Chemistry, University of Basel, Klingelbergstrasse 80, 4056 Basel, Switzerland.

The Journal of Chemical Physics
|October 9, 2007
PubMed
Summary
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Investigating chemical and biophysical dynamics on complex free energy landscapes, this study uses a novel algorithm to solve the Smoluchowski equation for ligand rebinding and protein folding.

Area of Science:

  • Chemistry
  • Biophysics
  • Computational Biology

Background:

  • Free energy landscapes govern molecular dynamics.
  • Understanding ligand rebinding and protein folding is crucial in biophysics.
  • Previous methods struggled to accurately model dynamics on rough landscapes.

Purpose of the Study:

  • To investigate chemical and biophysical process dynamics on rough free energy landscapes.
  • To apply a new algorithm for solving the Smoluchowski equation.
  • To calculate experimentally accessible quantities like rebinding and folding times.

Main Methods:

  • Developed a novel algorithm to solve the Smoluchowski equation.
  • Constructed a 2D free energy surface (FES) for MbCO rebinding using molecular dynamics.

Related Experiment Videos

  • Utilized a previously determined 2D FES for protein G folding.
  • Employed a hierarchical discrete approximation method to solve the Smoluchowski equation.
  • Main Results:

    • Calculated free energy barriers for CO rebinding in myoglobin (Mb) (approx. 6 kcal/mol).
    • Identified a significantly larger barrier for CO in the Xe4 pocket and distal pocket compared to the inner barrier.
    • Determined a folding barrier of approx. 10 kcal/mol for protein G.
    • Obtained folding times for protein G on the order of milliseconds.

    Conclusions:

    • The new algorithm accurately models diffusive dynamics on rough free energy landscapes.
    • The calculated barriers and folding times for MbCO rebinding and protein G folding are consistent with experimental observations.
    • This approach provides a powerful tool for studying complex molecular processes.