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)
“We must understand how to hide in darkness in order to escape the gnat-swarms of utterly annoying admirers.”
—Friedrich Nietzsche (1844–1900)