Narrow escape problem (nonfiction): Difference between revisions
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The '''narrow escape problem''' is a ubiquitous problem in biology, biophysics and cellular biology. | [[File:A_Narrow_Escape.jpg|thumb|The soldier in this picture represents a Brownian particle seeking a narrow escape through a window.]]The '''narrow escape problem''' is a ubiquitous problem in biology, biophysics and cellular biology. | ||
The formulation is the following: 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 formulation is the following: 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. | ||
Latest revision as of 14:54, 11 September 2016
The narrow escape problem is a ubiquitous problem in biology, biophysics and cellular biology.
The formulation is the following: 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.
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External links:
- Narrow escape problem @ Wikipedia