Well-Posed Treatment of Space-Charge Layers in the Electroneutral Limit of Electrodiffusion

Adam R. Stinchcombe, Yoichiro Mori, Charles S. Peskin

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

The electroneutral model describes cellular electrical activity, accounting for ionic concentration dynamics without resolution of the fine spatial scales of the space-charge layer. This is done by asserting that the ionic solution is electrically neutral at each point in space. However, electroneutrality is inconsistent with the original boundary conditions at cell membranes. We consider three separate methods of resolving this inconsistency that result in well-posed models that are accurate approximations to a detailed model in which the space-charge layer is fully resolved. A particular electrodiffusion problem is utilized to make the discussion specific.

Original languageEnglish (US)
Pages (from-to)2221-2249
Number of pages29
JournalCommunications on Pure and Applied Mathematics
Volume69
Issue number12
DOIs
StatePublished - Dec 1 2016

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