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: