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:

    When a village ceases to be a community, it becomes oppressive in its narrow conformity. So one becomes an individual and migrates to the city. There, finding others likeminded, one re- establishes a village community. Nowadays only New Yorkers are yokels.
    Paul Goodman (1911–1972)

    We perceive no charms that are not sharpened, puffed out, and inflated by artifice. Those which glide along naturally and simply easily escape a sight so gross as ours.
    Michel de Montaigne (1533–1592)