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 and/or escape:

    In a higher phase of communist society ... only then can the narrow horizon of bourgeois right be fully left behind and society inscribe on its banners: from each according to his ability, to each according to his needs.
    Karl Marx (1818–1883)

    Hell is oneself,
    Hell is alone, the other figures in it
    Merely projections. There is nothing to escape from
    And nothing to escape to. One is always alone.
    —T.S. (Thomas Stearns)