A THREE-DIMENSIONAL MODEL OF CELLULAR ELECTRICAL ACTIVITY

被引：0
|
作者：
Mori, Yoichiro [1 ,2 ]
Jerome, Joseph W. [3 ]
Peskin, Charles S. [1 ,4 ]
机构：
[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
[3] Northwestern Univ, Dept Math, Evanston, IL 60208 USA
[4] NYU, Ctr Neural Sci, New York, NY 10012 USA
来源：
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2007年 / 2卷 / 02期
基金：
美国国家科学基金会;
关键词：
Cellular electrophysiology; space charge layer; transmembrane ionic current;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The detailed three dimensional architecture of biological tissue and electrodiffusion 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 significance. This is followed by a brief discussion of numerical simulations and a mathematical analysis of the system of equations.
引用
收藏
页码：367 / 390
页数：24
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