The first-passage problem for diffusion through a cylindrical pore with sticky walls
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187, Dresden, Germany
2 Max Planck Institute for Molecular Cell Biology and Genetics, Pfotenhauer Straße 108, 01307, Dresden, Germany
Revised: 10 August 2009
Accepted: 1 October 2009
Published online: 24 October 2009
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.
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2009