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:
“Society gains nothing whilst a man, not himself renovated, attempts to renovate things around him; he has become tediously good in some particular but negligent or narrow in the rest; and hypocrisy and vanity are often the disgusting result.”
—Ralph Waldo Emerson (1803–1882)
“If the desire to kill and the opportunity to kill came always together, who would escape hanging?”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)