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:
“Who said, ‘All Time’s delight
Hath she for narrow bed;
Life’s troubled bubble broken’?—
That’s what I said.”
—Walter De La Mare (1873–1956)
“We perceive no charms that are not sharpened, puffed out, and inflated by artifice. Those which glide along naturally and simply easily escape a sight so gross as ours.”
—Michel de Montaigne (1533–1592)