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)
“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.
“Self-love is often rather arrogant than blind; it does not hide our faults from ourselves, but persuades us that they escape the notice of others.”
—Samuel Johnson (1709–1784)