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:
“We may climb into the thin and cold realm of pure geometry and lifeless science, or sink into that of sensation. Between these extremes is the equator of life, of thought, or spirit, or poetry,—a narrow belt.”
—Ralph Waldo Emerson (1803–1882)
“... how have I used rivers, how have I used wars
to escape writing of the worst thing of all—
not the crimes of other, not even our own death,
but the failure to want our freedom passionately enough
so that blighted elms, sick rivers, massacres would seem
mere emblems of that desecration of ourselves?”
—Adrienne Rich (b. 1929)