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:
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—William Hazlitt (1778–1830)
“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)
“The cross of the Legion of Honor has been conferred on me. However, few escape that distinction.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)