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About: Narrow escape problem     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:StochasticProcess113561896, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatStochasticProcessesyago:Abstraction100002137yago:Cognition100023271yago:Concept105835747yago:Content105809192yago:Hypothesis105888929yago:Idea105833840yago:Model105890249yago:PsychologicalFeature100023100diseaseyago:StochasticProcess113561896 New Facet based on Instances of this Class

The narrow escape problem is a ubiquitous problem in biology, biophysics and cellular biology. The mathematical 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.