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:
“To judge from a single conversation, he made the impression of a narrow and very English mind; of one who paid for his rare elevation by general tameness and conformity. Off his own beat, his opinions were of no value.”
—Ralph Waldo Emerson (1803–1882)
“Those who escape death in great disasters are surely destined for good fortune later.”
—Chinese proverb.