Membrane Permeability of Sucrose Calculated from Equilibrium Time-Correlation Functions Using Molecular Dynamics
Jonathan Harris1, Benoît Roux2
1Department of Chemistry, The University of Chicago, 5735 S Ellis Ave., Chicago, Illinois 60637, United States.
A new computational method accurately calculates membrane permeability for small molecules using committor probability from unbiased simulations. This approach overcomes limitations of the inhomogeneous solubility diffusion (ISD) model, especially for molecules with high energy barriers.
Area of Science:
- Computational chemistry
- Biophysics
- Molecular dynamics
Background:
- Accurate computation of membrane permeability is crucial for drug discovery and understanding biological processes.
- Traditional methods like equilibrium simulations struggle with molecules exhibiting significant free energy barriers.
- Existing models, such as the inhomogeneous solubility diffusion (ISD) model, rely on assumptions like overdamped dynamics that may not always hold true.
Purpose of the Study:
- To present a novel computational framework for rigorously calculating membrane permeability of small molecules.
- To develop a method that overcomes the limitations of traditional approaches for molecules with high energy barriers.
- To provide a more accurate alternative to the ISD model by accounting for non-Markovian effects.
Main Methods:
- Utilizes committor probability within the transition path theory framework.
- Combines enhanced sampling for potential of mean force with reweighted ensembles of short unbiased trajectories.
- Calculates equilibrium time-correlation functions and steady-state flux from unbiased dynamics.
- Applies the method to sucrose permeation and compares results with the ISD model for DOPC and DLPC membranes using different force fields.
Main Results:
- The developed method provides a rigorous computational route to determine permeability coefficients.
- Committor-based calculations yield permeability estimates that are generally higher than or equal to those from the ISD model.
- The discrepancy suggests that the ISD model potentially ignores non-Markovian memory effects relevant to membrane crossing.
Conclusions:
- The committor probability-based framework offers a robust and accurate method for computing membrane permeability.
- This approach advances beyond the assumptions of the ISD model, particularly for complex permeation processes.
- The findings highlight the importance of considering non-Markovian dynamics in membrane transport simulations.
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