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:
“[W]e are all guilty in some Measure of the same narrow way of Thinking ... when we fancy the Customs, Dresses, and Manners of other Countries are ridiculous and extravagant, if they do not resemble those of our own.”
—Joseph Addison (1672–1719)
“If the desire to kill and the opportunity to kill came always together, who would escape hanging?”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)