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)
“You call yourself free? I want to hear your ruling thought and not that you have escaped a yoke. Are you such a one as was permitted to escape a yoke? There are some who threw away their ultimate worth when they threw away their servitude. Free from what? What is that to Zarathustra! But your eyes should announce to me brightly: free for what?”
—Friedrich Nietzsche (1844–1900)