Title:
Minimal models in cardiac dynamics
Minimal models in cardiac dynamics
Author(s)
Chen, Diandian
Advisor(s)
Fenton, Flavio H.
Grigoriev, Roman
Gray, Richard
Shiferaw, Yohannes
Grigoriev, Roman
Gray, Richard
Shiferaw, Yohannes
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Abstract
Cardiac Arrhythmia is a leading cause of death in the western industrialized world. To date, multiple pathways to examine and treat this disease exist. In this thesis, I focus on computational modeling and nonlinear analysis of cardiac dynamics. While a variety of
cardiac models exist, I examine minimal models that produce phenomenological properties of cardiac dynamics. The usefulness of such models is that they are intuitively easy to understand and manipulated. From our results, I first demonstrate the usefulness of minimal models by using a two variable model to produce a novel technique to predict the onset of instability. By reducing current models to a minimal version, I show through graphical and nonlinear
methods that action potential amplitude alternans is of equal importance to action potential
duration alternans. By further reduction of the two-variable model through fitting to simple equations, I show that phenomenological models can reproduce results that better fit
experimental data. Moreover, not only can my constructed minimal produce common phenomena, they can also demonstrate novel dynamics with the adjustment of a small group of parameters. To further expand the usefulness of minimal models, in the last chapter, I construct a minimal model of not only voltage but also the calcium cycling system. Overall, while mathematically complex models are useful and necessary, in this thesis, we present
an alternative perspective to study arrhythmia.
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Date Issued
2019-04-30
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Resource Type
Text
Resource Subtype
Dissertation