It is known, from both experiments and simulations, that cardiac action potentials are shortened near a nonconducting boundary. In the present paper, this effect is studied in a simple, two-current ionic model, with propagation restricted to a one-dimensional fiber. An asymptotic approximation for the dependence of action potential duration on distance to the boundary is derived. This estimate agrees well with simulations.
Copyright © 2008 Oxford University Press.
The definitive version is available at: http://imammb.oxfordjournals.org/content/25/1/21.abstract
Cain, John W., and David G. Schaeffer. "Shortening of Cardiac Action Potential Duration near an Insulating Boundary." Mathematical Medicine and Biology 25, no. 1 (2008): 21-36. doi:10.1093/imammb/dqn002.
Cain, John W. and Schaeffer, David G., "Shortening of Cardiac Action Potential Duration Near an Insulating Boundary" (2008). Math and Computer Science Faculty Publications. 67.