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:
“In a higher phase of communist society ... only then can the narrow horizon of bourgeois right be fully left behind and society inscribe on its banners: from each according to his ability, to each according to his needs.”
—Karl Marx (1818–1883)
“While they stand at home at the door he is dead already,
The only son is dead.
But the mother needs to be better,
She with thin form presently drest in black,
By day her meals untouch’d, then at night fitfully sleeping, often waking,
In the midnight waking, weeping, longing with one deep longing,
O that she might withdraw unnoticed, silent from life escape and
withdraw,
To follow, to seek, to be with her dear dead son.”
—Walt Whitman (1819–1892)