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)
“When I say artist I don’t mean in the narrow sense of the word—but the man who is building things—creating molding the earth—whether it be the plains of the west—or the iron ore of Penn. It’s all a big game of construction—some with a brush—some with a shovel—some choose a pen.”
—Jackson Pollock (1912–1956)
“The cross of the Legion of Honor has been conferred on me. However, few escape that distinction.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)