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:
“For Occupation—This—
The spreading wide my narrow Hands
To gather Paradise—”
—Emily Dickinson (1830–1886)
“We now talk of our killed and wounded. There is however a very happy feeling. Those who escape regret of course the loss of comrades and friends, but their own escape and safety to some extent modifies their feelings.”
—Rutherford Birchard Hayes (1822–1893)