Modeling of Spiral Waves Arising in Atrial Fibrillation

The objective of this study is to model spirals arising in atrial fibrillation. Spiral wave fronts, known to cardiologists as cardiac rotors, are responsible for heart arrhythmias. The modeling of the path of the spiral will ultimately assist in understanding why arrhythmias occur and how to treat them. This study involved first developing a linear ray model to provide basic understanding of a rotating wave front, then generalizing to spiral models. Both the Archimedean spiral and a spiral derived from the diffusion equation are used as possible candidates to resemble cardiac rotors found in the heart. We conclude by comparing the two spirals strike frequencies to electrodes and discuss their non-Doppler anomalies.

Grantor dc:publisher

University of Tennessee at Chattanooga

Author dc:creator

• Cummins, James

Contributors dc:contributor

• Cox, Christopher
• Belinskiy, Boris; Rubenstein, Donald
• College of Arts and Sciences

• Atrial fibrillation--Mathematical models
• Differential equations, Parabolic

Licence

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language

English, eng

Repository record dc:identifier

https://scholar.utc.edu/theses/747

OAI identifier oai:identifier

oai:scholar.utc.edu:theses-1929