Date of Award
Master of Science
Suzanne Lenhart, Charles Collins
In this thesis, we study the nonlinear dynamics of calcium cycling within a cardiac cell. We develop piecewise smooth mapping models to describe intracellular calcium cycling in cardiac myocyte. Then, border-collision bifurcations that arise in these piecewise maps are investigated. These studies are carried out using both one-dimensional and two-dimensional models. Studies in this work lead to interesting insights on the stability of cardiac dynamics, suggesting possible mechanisms for cardiac alternans. Alternans is the precursor of sudden cardiac arrests, a leading cause of death in the United States.
Kahle, Jacob Michael, "Border-Collision Bifurcations of Cardiac Calcium Cycling. " Master's Thesis, University of Tennessee, 2015.