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)

    A narrow Fellow in the Grass
    Occasionally rides—
    Emily Dickinson (1830–1886)

    History takes place between the Fall and the Apocalypse, with a narrow escape route called Salvation.
    Mason Cooley (b. 1927)