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:
“On this narrow planet, we have only the choice between two unknown worlds. One of them tempts us—ah! what a dream, to live in that!—the other stifles us at the first breath.”
—Colette [Sidonie Gabrielle Colette] (1873–1954)
“The secret of culture is to learn, that a few great points steadily reappear, alike in the poverty of the obscurest farm, and in the miscellany of metropolitan life, and that these few are alone to be regarded,—the escape from all false ties; courage to be what we are; and love what is simple and beautiful; independence and cheerful relation, these are the essentials,—these, and the wish to serve,—to add somewhat to the well-being of men.”
—Ralph Waldo Emerson (1803–1882)