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:

    Bring the balloon of the mind
    That bellies and drags in the wind
    Into its narrow shed.
    William Butler Yeats (1865–1939)

    The glory of my name increases my shame. Less known by mortals, I could better escape their eyes.
    Jean Racine (1639–1699)