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:
“It is the small doubts of timid souls that accomplish their ruin. It is the narrow vision, the fear and trembling hesitation, that constitute defeat.”
—Alice Foote MacDougall (1867–1945)
“You don’t resign from these jobs, you escape from them.”
—Dawn Steel (b. 1946)