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Masters Theses
Date of Award
12-2015
Degree Type
Thesis
Degree Name
Master of Science
Major
Mathematics
Major Professor
Xiaopeng Zhao
Committee Members
Suzanne Lenhart, Charles Collins
Abstract
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.
Recommended Citation
Kahle, Jacob Michael, "Border-Collision Bifurcations of Cardiac Calcium Cycling. " Master's Thesis, University of Tennessee, 2015.
https://trace.tennessee.edu/utk_gradthes/3589