A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes

Yoichiro Mori, Charles S. Peskin

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

We present a numerical method for solving the system of equations of a model of cellular electrical activity that takes into account both geometrical effects and ionic concentration dynamics. A challenge in constructing a numerical scheme for this model is that its equations are stiff: There is a time scale associated with "diffusion" of the membrane potential that is much faster than the time scale associated with the physical diffusion of ions. We use an implicit discretization in time and a finite volume discretization in space. We present convergence studies of the numerical method for cylindrical and two-dimensional geometries for several cases of physiological interest.

Original languageEnglish (US)
Pages (from-to)85-134
Number of pages50
JournalCommunications in Applied Mathematics and Computational Science
Volume4
Issue number1
DOIs
StatePublished - Jan 1 2009

Keywords

  • Electrodiffusion
  • Ephaptic transmission
  • Finite volume method
  • Three-dimensional cellular electrophysiology

Fingerprint Dive into the research topics of 'A numerical method for cellular electrophysiology based on the electrodiffusion equations with internal boundary conditions at membranes'. Together they form a unique fingerprint.

  • Cite this