Analysis of a Non-linear Partial Difference Equation, and Its Application to Cardiac Dynamics

Abstract

A model of a strip of cardiac tissue consisting of a one-dimensional chain of cardiac units is derived in the form of a non-linear partial difference equation. Perturbation analysis is performed on this equation, and it is shown that regular perturbations are inadequate due to the appearance of secular terms. A singular perturbation procedure known as the… (More)

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8 Figures and Tables