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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—Christopher Fry (b. 1907)
“A narrow compass! and yet there
Dwelt all thats good, and all thats fair!”
—Edmund Waller (16061687)
“We must understand how to hide in darkness in order to escape the gnat-swarms of utterly annoying admirers.”
—Friedrich Nietzsche (18441900)