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:

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

    “Those deprived of such friends rejoice; those who have them pray to escape them.”
    —Sophocles (497–406/5 B.C.)