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

Adam R. Stinchcombe, Yoichiro Mori, Charles Peskin

Research output: Contribution to journalArticle

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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Electric space charge
Charge
Cell membranes
Inconsistency
Inconsistent
Membrane
Boundary conditions
Model
Cell
Approximation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Well-Posed Treatment of Space-Charge Layers in the Electroneutral Limit of Electrodiffusion. / Stinchcombe, Adam R.; Mori, Yoichiro; Peskin, Charles.

In: Communications on Pure and Applied Mathematics, Vol. 69, No. 12, 01.12.2016, p. 2221-2249.

Research output: Contribution to journalArticle

Stinchcombe, Adam R. ; Mori, Yoichiro ; Peskin, Charles. / Well-Posed Treatment of Space-Charge Layers in the Electroneutral Limit of Electrodiffusion. In: Communications on Pure and Applied Mathematics. 2016 ; Vol. 69, No. 12. pp. 2221-2249.
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