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Diffusion through thin membranes: Modeling across scales.

Vesa Aho1, Keijo Mattila2, Thomas Kühn3

  • 1Department of Physics, and Nanoscience Center, P.O. Box 35, University of Jyväskylä, FI-40014 Jyväskylä, Finland.

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Summary
This summary is machine-generated.

This study models membrane diffusion across multiple scales, linking macroscopic transmission conditions to mesoscopic lattice-Boltzmann simulations and microscopic particle passage. The model accurately predicts nuclear envelope permeability for enhanced yellow fluorescent protein in HeLa cells.

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Area of Science:

  • Multiscale modeling
  • Computational physics
  • Cell biology

Background:

  • Diffusion through membranes is crucial in biological and physical systems.
  • Accurate modeling of membrane transport across different scales remains a challenge.
  • Existing models often lack integration across macroscopic, mesoscopic, and microscopic levels.

Purpose of the Study:

  • To develop a unified multiscale model for membrane diffusion.
  • To validate a mesoscopic lattice-Boltzmann scheme against macroscopic boundary conditions.
  • To determine the permeability of the nuclear envelope using this multiscale approach.

Main Methods:

  • Introduction of a transmission boundary condition for macroscopic modeling.
  • Development and analysis of a mesoscopic lattice-Boltzmann scheme with partial-bounceback.
  • Microscopic analysis of particle passage time.
  • Numerical simulations and comparison with analytical solutions.

Main Results:

  • The mesoscopic approach consistently approximates macroscopic transmission boundary conditions.
  • An expression for thin membrane permeability was derived from the mesoscopic scheme.
  • Numerical results align with analytical solutions.
  • Simulated transport through the nuclear envelope matched experimental data.

Conclusions:

  • The proposed multiscale model effectively describes membrane diffusion.
  • The lattice-Boltzmann scheme provides a robust mesoscopic approximation.
  • The study successfully determined the nuclear envelope permeability to enhanced yellow fluorescent protein in HeLa cells.