From myocardial cell models to action potential propagation.

Membrane equations that describe sarcolemmal currents and ion transfer processes are important building blocks for theoretical studies of action potential propagation in cardiac tissue. Introduction of such ionic models into cellular and tissue networks allows analyses of passive contributions associated with tissue structure to be considered alongside active contributions from myocytes themselves in studies involving arrhythmia initiation, maintenance and termination. Maturation of contemporary membrane equations that attempt to replicate voltage clamp experiments from different species and tissue types with specific examples of modifications to extend those equations for simulations under conditions of rapid pacing, myocardial ischemia and remodeling following myocardial infarction are considered. Additionally, the integrating of membrane equations into models where coupling to represent current flow paths associated with the anisotropic tissue structure is described.