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:
“His virtues walked their narrow round,
Nor made a pause, nor left a void;
And sure the Eternal Master found
The single talent well employed.”
—Samuel Johnson (1709–1784)
“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)