Minimal models in cardiac dynamics

dc.contributor.advisor Fenton, Flavio H.
dc.contributor.advisor Grigoriev, Roman
dc.contributor.advisor Gray, Richard
dc.contributor.advisor Shiferaw, Yohannes
dc.contributor.author Chen, Diandian
dc.contributor.committeeMember Wiesenfeld, Kurt
dc.contributor.department Physics
dc.date.accessioned 2019-08-21T13:50:55Z
dc.date.available 2019-08-21T13:50:55Z
dc.date.created 2019-08
dc.date.issued 2019-04-30
dc.date.submitted August 2019
dc.date.updated 2019-08-21T13:50:55Z
dc.description.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.
dc.description.degree Ph.D.
dc.format.mimetype application/pdf
dc.identifier.uri http://hdl.handle.net/1853/61691
dc.language.iso en_US
dc.publisher Georgia Institute of Technology
dc.subject Cardiac arrhythmia
dc.subject Chaos
dc.subject Alternans
dc.title Minimal models in cardiac dynamics
dc.type Text
dc.type.genre Dissertation
dspace.entity.type Publication
local.contributor.advisor Fenton, Flavio H.
local.contributor.corporatename College of Sciences
local.contributor.corporatename School of Physics
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relation.isOrgUnitOfPublication 85042be6-2d68-4e07-b384-e1f908fae48a
relation.isOrgUnitOfPublication 2ba39017-11f1-40f4-9bc5-66f17b8f1539
thesis.degree.level Doctoral
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