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¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

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At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
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The axial and equatorial protons in cyclohexane can be distinguished by performing a variable-temperature NMR experiment. In this process, except for one proton, the remaining eleven protons are replaced by deuterium. The deuterium substitution avoids the possible peak splitting caused by the spin-spin coupling between the adjacent protons. The remaining proton flips between the axial and equatorial positions.
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Quantifying Unbiased Conformational Ensembles from Biased Simulations Using ShapeGMM.

Subarna Sasmal1, Triasha Pal1, Glen M Hocky1,2

  • 1Department of Chemistry, New York University, New York, New York 10003, United States.

Journal of Chemical Theory and Computation
|April 25, 2024
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Summary
This summary is machine-generated.

This study introduces frame-weighted shapeGMM, a novel method to accurately quantify biomolecular conformational ensembles from enhanced sampling simulations. This approach overcomes challenges with biased data, enabling precise thermodynamic property calculations and biophysical insights.

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Area of Science:

  • Computational Biophysics
  • Molecular Dynamics Simulations
  • Statistical Mechanics

Background:

  • Quantifying biomolecular conformational ensembles is crucial for understanding biological processes like protein folding and ligand binding.
  • Conventional molecular simulations often suffer from insufficient sampling, hindering accurate ensemble characterization.
  • Enhanced sampling methods, while improving sampling, introduce nonuniform frame weights that complicate downstream analysis.

Purpose of the Study:

  • To develop a rigorous method for incorporating nonuniform frame weights into structural clustering for accurate biomolecular ensemble quantification.
  • To create a generative model capable of computing thermodynamic properties from biased simulation data.

Main Methods:

  • Developed frame-weighted shapeGMM, a structural clustering method that rigorously includes nonuniform frame weights.
  • Applied frame-weighted shapeGMM to coarse-grained helix and alanine dipeptide systems using metadynamics simulations.
  • Utilized linear discriminant analysis on GMM states to identify hidden structures in complex transitions, such as actin polymerization.

Main Results:

  • Frame-weighted shapeGMM accurately quantifies conformational ensembles and computes thermodynamic properties like relative free energies and configurational entropy.
  • The method demonstrated quantitative agreement with direct simulations and accurately reproduced known free energy landscapes.
  • Identified previously hidden structural states during the actin globular to filamentous transition, providing novel biophysical insights.

Conclusions:

  • Frame-weighted shapeGMM is a powerful and accurate approach for quantifying biomolecular ensembles from biased simulations.
  • This method enables robust calculation of thermodynamic properties and facilitates the discovery of complex molecular mechanisms.
  • The approach significantly advances the analysis of enhanced sampling simulation data for biophysical investigations.