The first-passage problem for diffusion through a cylindrical pore with sticky walls.
We calculate the first-passage time distribution for diffusion through a cylindrical pore with sticky walls. A particle diffusively explores the interior of the pore through a series of binding and unbinding events with the cylinder wall. Through a diagrammatic expansion we obtain first-passage time statistics for the particle's exit from the pore. Connections between the model and nucleocytoplasmic transport in cells are discussed.
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187, Dresden, Germany. licata@mpi-cbg.de
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Licata
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Grill
D001692:Biological Transport; D004058:Diffusion; D008956:Models, Chemical; D016062:Porosity; D011336:Probability; D013997:Time Factors