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:
“Society gains nothing whilst a man, not himself renovated, attempts to renovate things around him; he has become tediously good in some particular but negligent or narrow in the rest; and hypocrisy and vanity are often the disgusting result.”
—Ralph Waldo Emerson (1803–1882)
“no arranged terror: no forcing of image, plan,
or thought:
no propaganda, no humbling of reality to precept:
terror pervades but is not arranged, all possibilities
of escape open: no route shut,”
—Archie Randolph Ammons (b. 1926)