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:
“Bring the balloon of the mind
That bellies and drags in the wind
Into its narrow shed.”
—William Butler Yeats (1865–1939)
“Man seeks to escape himself in myth, and does so by any means at his disposal. Drugs, alcohol, or lies. Unable to withdraw into himself, he disguises himself. Lies and inaccuracy give him a few moments of comfort.”
—Jean Cocteau (1889–1963)