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:
“After reading Howitt’s account of the Australian gold-diggings one evening,... I asked myself why I might not be washing some gold daily, though it were only the finest particles,—why I might not sink a shaft down to the gold within me, and work that mine.... At any rate, I might pursue some path, however solitary and narrow and crooked, in which I could walk with love and reverence.”
—Henry David Thoreau (1817–1862)
“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)