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2007 / June Volume 2 No.2
A three-dimensional model of cellular electrical activity
Published Date
2007 / June
Title
A three-dimensional model of cellular electrical activity
Author
Yoichiro Mori, Joseph W. Jerome, Charles S. Peskin
Keyword
Cellular electrophysiology, space charge layer, transmembrane ionic current, Cellular electrophysiology, space charge layer, transmembrane ionic current
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Pagination
367-390
Abstract
The detailed three dimensional architecture of biological tissue and electrodiusion effects of ions have been largely neglected in modeling studies of cellular electrical activity. Here, we develop a model of cellular electrical activity that takes into account both of these effects. We derive the system of partial differential equations that govern cellular electrical activity and discuss its biological signicance. This is followed by a brief discussion of numerical simulations and a mathematical analysis of the system of equations.
AMS Subject
Classification
35K60, 92C30
Received
2005-05-26
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