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)
“... we’ve allowed a youth-centered culture to leave us so estranged from our future selves that, when asked about the years beyond fifty, sixty, or seventy—all part of the average human life span providing we can escape hunger, violence, and other epidemics—many people can see only a blank screen, or one on which they project fear of disease and democracy.”
—Gloria Steinem (b. 1934)