Brownian Motion - Narrow Escape

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)

    Strive to enter through the narrow door; for many, I tell you, will try to enter and will not be able.
    Bible: New Testament, Luke 13:24.

    I think middle-age is the best time, if we can escape the fatty degeneration of the conscience which often sets in at about fifty.
    —W.R. (William Ralph)