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:
“because your clamorous blood
Beats an impermanent rest
You think the dead arise
Westward and fabulous:
The dead are those whose lies
Were doors to a narrow house.”
—Allen Tate (1899–1979)
“Self-love is often rather arrogant than blind; it does not hide our faults from ourselves, but persuades us that they escape the notice of others.”
—Samuel Johnson (1709–1784)