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 escape, narrow and/or escape:
“Comedy is an escape, not from truth but from despair; a narrow escape into faith.”
—Christopher Fry (b. 1907)
“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 evil dooms us hopelessly except the evil we love, and desire to continue in, and make no effort to escape from.”
—George Eliot [Mary Ann (or Marian)