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:
“On this narrow planet, we have only the choice between two unknown worlds. One of them tempts us—ah! what a dream, to live in that!—the other stifles us at the first breath.”
—Colette [Sidonie Gabrielle Colette] (1873–1954)
“Hell is oneself,
Hell is alone, the other figures in it
Merely projections. There is nothing to escape from
And nothing to escape to. One is always alone.”
—T.S. (Thomas Stearns)