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:
“Comedy is an escape, not from truth but from despair; a narrow escape into faith.”
—Christopher Fry (b. 1907)
“The great fact in life, the always possible escape from dullness, was the lake. The sun rose out of it, the day began there; it was like an open door that nobody could shut. The land and all its dreariness could never close in on you. You had only to look at the lake, and you knew you would soon be free.”
—Willa Cather (1873–1947)