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:
““All day long from mid-day
We have talked in the one place,
All day long from shadowless noon
We have gone round and round
In the narrow theme of love
Like an old horse in a pound.””
—William Butler Yeats (1865–1939)
“Fatigue dulls the pain, but awakes enticing thoughts of death. So! that is the way in which you are tempted to overcome your loneliness—by making the ultimate escape from life..—No! It may be that death is to be your ultimate gift to life: it must not be an act of treachery against it.”
—Dag Hammarskjöld (1905–1961)