Existence and stability of traveling wave solutions in a simplified model of cardiac tissue

Lisa D Driskell, Purdue University

Abstract

We introduce a simplified two-variable model of cardiac tissue. The model captures key features of cardiac behavior, including electrical alternans, while also allowing for analytical investigations into the propagation of electrical impulses. We examine the existence and stability of traveling wave front and traveling pulse solutions.

Degree

Ph.D.

Advisors

Buzzard, Purdue University.

Subject Area

Applied Mathematics|Mathematics

Off-Campus Purdue Users:
To access this dissertation, please log in to our
proxy server
.

Share

COinS