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:
“Nuns fret not at their convent’s narrow room;”
—William Wordsworth (1770–1850)
“But the power of destiny is something awesome; neither wealth, nor Ares, nor a tower, nor dark-hulled ships might escape it.”
—Sophocles (497–406/5 B.C.)