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Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...

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Related Experiment Video

Updated: Jun 19, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

The first-passage problem for diffusion through a cylindrical pore with sticky walls.

N A Licata¹, S W Grill

¹Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187, Dresden, Germany. licata@mpi-cbg.de

The European Physical Journal. E, Soft Matter

|October 27, 2009

Summary

We modeled particle diffusion in sticky cylindrical pores, calculating how long it takes for particles to exit. This provides insights into transport processes within cellular structures like the nucleus.

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Area of Science:

Physics
Biophysics
Physical Chemistry

Background:

Particle diffusion is fundamental to many physical and biological processes.
Understanding transport through confined geometries, like pores, is crucial for cellular function.
The interaction of particles with pore walls (stickiness) significantly impacts diffusion dynamics.

Purpose of the Study:

To calculate the first-passage time distribution for a particle diffusing through a cylindrical pore with sticky walls.
To model the effects of binding and unbinding events on particle exit times.
To explore the relevance of this model to nucleocytoplasmic transport.

Main Methods:

Utilized a theoretical approach involving diagrammatic expansion.
Calculated first-passage time statistics for particle exit.
Simulated particle diffusion dynamics considering wall interactions.

Main Results:

Derived the first-passage time distribution for diffusion in sticky cylindrical pores.
Quantified the influence of wall binding/unbinding on exit times.
Established a framework for analyzing transport in confined, interactive environments.

Conclusions:

The model provides a quantitative description of diffusion in pores with wall interactions.
Findings offer insights into the mechanisms governing particle transport in biological systems.
The study highlights the importance of wall interactions in diffusion-limited transport processes.