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Lateral diffusion in an archipelago. Dependence on tracer size

M J Saxton1

  • 1Institute of Theoretical Dynamics, University of California, Davis 95616.

Biophysical Journal
|April 1, 1993
PubMed
Summary

Particle diffusion in lipid membranes is affected by obstacles. Fractal obstacles, unlike point or hexagonal ones, show diffusion independent of particle size due to their scale-invariant nature.

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Area of Science:

  • Membrane biophysics
  • Statistical mechanics
  • Soft matter physics

Background:

  • Lateral diffusion of particles in lipid membranes is crucial for cellular processes.
  • The Saffman-Delbrück equation and free-volume models describe diffusion in pure lipid phases.
  • Obstacles like proteins or lipid domains introduce complexities to diffusion dynamics.

Purpose of the Study:

  • To investigate how immobile obstacles influence the size-dependent lateral diffusion coefficient.
  • To examine the impact of different obstacle geometries (point, hexagonal, fractal) on diffusion.
  • To analyze the fractal geometry of excluded areas and percolation thresholds.

Main Methods:

  • Monte Carlo simulations were employed to model particle diffusion.
  • Various obstacle configurations, including random point, hexagonal, and fractal aggregates, were simulated.
  • The fractal geometry of excluded areas and percolation phenomena were analyzed.

Main Results:

  • For point and hexagonal obstacles, the diffusion coefficient strongly depended on particle size.
  • For fractal obstacles (cluster-cluster aggregates, diffusion-limited aggregates), diffusion was independent of particle size.
  • Fractal geometry's scale-invariant nature leads to size-independent diffusion, as tracers encounter similar average obstructions regardless of size.

Conclusions:

  • Obstacle geometry significantly alters the size dependence of lateral diffusion in lipid membranes.
  • Fractal obstacles present a unique case where diffusion is independent of tracer size due to their lack of a characteristic length scale.
  • Understanding these diffusion dynamics is vital for comprehending membrane organization and function.

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