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Diffusion in multilayer media: transient behavior of the lateral diffusion coefficient.

Alexander M Berezhkovskii1, George H Weiss

  • 1Mathematical and Statistical Computing Laboratory, Division of Computational Bioscience, Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892, USA. berezh@mail.nih.gov

The Journal of Chemical Physics
|May 6, 2006
PubMed
Summary

This study introduces a new method to understand lateral diffusion in multilayer systems by analyzing particle residence times. This formalism generalizes existing models for diffusion across membranes and finite layers.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Materials Science

Background:

  • Lateral diffusion is crucial in various physical and biological processes.
  • Understanding diffusion in multilayered media presents significant challenges.
  • Existing models often rely on simplifying assumptions about layer properties and particle behavior.

Purpose of the Study:

  • To develop a general formalism for treating lateral diffusion in multilayer media.
  • To establish a relationship between lateral diffusion and cumulative residence time distributions.
  • To generalize existing solutions for diffusion coefficients in specific multilayer scenarios.

Main Methods:

  • Developed a theoretical framework linking lateral diffusion to cumulative residence time.
  • Derived general expressions for global and local time-dependent diffusion coefficients.

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  • Applied the formalism to extend existing solutions for membrane diffusion and surface-ligand interactions.

    • Main Results:

    • Introduced general expressions for diffusion coefficients based on average cumulative times and layer probabilities.
    • Extended a short-time perturbation solution for diffusion across a permeable membrane to all timescales.
    • Generalized a model for ligand diffusion on a surface with a finite-thickness medium above it.

    Conclusions:

    • The developed formalism provides a unified approach to lateral diffusion in multilayer systems.
    • The findings offer a more comprehensive understanding of diffusion dynamics in complex media.
    • This work lays the groundwork for analyzing diffusion in systems with layered structures and dynamic interactions.