A three-dimensional model of cellular electrical activity
by
Yoichiro Mori
Joseph W. Jerome
Charles S. Peskin
Vol. 2 No. 2 (2007) P.367~P.390
ABSTRACT
The detailed three dimensional architecture of biological tissue and electrodi usion 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 e ffects. We derive the system of partial diff erential equations that govern cellular electrical activity and
discuss its biological signi cance. This is followed by a brief discussion of numerical simulations and a mathematical analysis of
the system of equations.
KEYWORDS
Cellular electrophysiology, space charge layer, transmembrane ionic current
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35K60, 92C30
MILESTONES
Received: 2004-11-30
Revised : 2005-05-26
Accepted:
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