Narrow Escape
The Narrow escape problem is a ubiquitous problem in biology, biophysics and cellular biology which has the following formulation: a Brownian particle (ion, molecule, or protein) is confined to a bounded domain (a compartment or a cell) by a reflecting boundary, except for a small window through which it can escape. The narrow escape problem is that of calculating the mean escape time. This time diverges as the window shrinks, thus rendering the calculation a singular perturbation problem.
Read more about this topic: Brownian Motion
Famous quotes containing the words narrow and/or escape:
“Highbury bore me. Richmond and Kew
Undid me. By Richmond I raised my knees
Supine on the floor of a narrow canoe.
My feet are at Moorgate, and my heart
Under my feet.”
—T.S. (Thomas Stearns)
“The cross of the Legion of Honor has been conferred on me. However, few escape that distinction.”
—Mark Twain [Samuel Langhorne Clemens] (18351910)