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 escape, narrow and/or escape:
“Anyone who has passed though the regular gradations of a classical education, and is not made a fool by it, may consider himself as having had a very narrow escape.”
—William Hazlitt (1778–1830)
“I kiss my wailing child and press it to my breast,
And hear the narrow graves calling my child and me.”
—William Butler Yeats (1865–1939)
“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)