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:
“Thus the orb he roamed
With narrow search, and with inspection deep
Considered every creature, which of all
Most opportune might serve his wiles, and found
The serpent subtlest beast of all the field.”
—John Milton (1608–1674)
“It is always fair sailing when you escape evil.”
—Sophocles (497–406/5 B.C.)