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Updated: Apr 18, 2026

Mapping Molecular Diffusion in the Plasma Membrane by Multiple-Target Tracing MTT

Mapping Molecular Diffusion in the Plasma Membrane by Multiple-Target Tracing MTT

Published on: May 27, 2012

Extracting the diffusion tensor from molecular dynamics simulation with Milestoning.

Mauro L Mugnai¹, Ron Elber¹

¹Department of Chemistry, University of Texas at Austin, Austin, Texas 78712, USA.

The Journal of Chemical Physics

|January 10, 2015

Summary

This summary is machine-generated.

We developed a new algorithm for calculating the diffusion tensor in Molecular Dynamics simulations using Milestoning. This method accurately estimates kinetic parameters and potential of mean force derivatives.

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Area of Science:

Computational Chemistry
Statistical Mechanics
Molecular Dynamics

Background:

Milestoning is a powerful simulation technique for calculating rates in complex systems.
Extracting the diffusion tensor is crucial for understanding molecular motion.
Existing methods may face challenges in complex, high-dimensional systems.

Purpose of the Study:

To develop and validate a novel algorithm for extracting the diffusion tensor from Milestoning simulations.
To connect Milestoning theory to the Fokker-Planck equation for diffusion analysis.
To enable accurate estimation of local kinetic parameters and potential of mean force.

Main Methods:

Utilizing a Kramers-Moyal expansion of the discrete master equation derived from Milestoning theory.
Analyzing overdamped Langevin trajectories to recover a multidimensional Fokker-Planck equation.
Calculating flux through a mesh to estimate local kinetic parameters and diffusion tensor.

Main Results:

Successfully recovered the multidimensional Fokker-Planck equation from simulation data.
Demonstrated the conversion of rate coefficients to potential of mean force derivatives.
Computed the coordinate-dependent diffusion tensor for various systems.
Illustrated the algorithm's application on simple models and an alanine dipeptide system.

Conclusions:

The proposed algorithm provides an effective method for determining the diffusion tensor in Milestoning simulations.
This approach bridges the gap between discrete master equations and continuous Fokker-Planck descriptions of diffusion.
The method is applicable to both simplified models and complex, atomistic systems, offering insights into molecular dynamics.