A Three-Dimensional Model of Cellular Electrical Activity
By: Yoichiro Mori, Joseph W. Jerome, and Charles Peskin
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.
This final version will appear in a special issue of the Bulletin of the
Institute of Mathematics, Academia Sinica (Taiwan), in June, 2007 (vol.
2, pp. 367--390):
Proceedings of Mafpd-6, Kyoto, September, 2004, and
can be viewed in the following format: