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:
“Strait is the gate, and narrow is the way, which leadeth unto life, and few there be that find it.”
—Bible: New Testament Jesus, in Matthew, 7:14.
From the Sermon on the Mount.
“If the desire to kill and the opportunity to kill came always together, who would escape hanging?”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)