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:
“... woman’s narrow and purist attitude toward life makes her a greater danger to liberty wherever she has political power. Man has long overcome the superstitions that still engulf women.”
—Emma Goldman (1869–1940)
“When this immediate evil power has been defeated, we shall not yet have won the long battle with the elemental barbarities. Another Hitler, it may be an invisible adversary, will attempt, again, and yet again, to destroy our frail civilization. Is it true, I wonder, that the only way to escape a war is to be in it? When one is a part of an actuality does the imagination find a release?”
—Ellen Glasgow (1873–1945)