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Modeling Electrical Activity in the Human Heart

Abstract:

The electrical activity responsible for every beat of the heart can be modeled mathematically. A complete mathematical picture of the electrical activity includes modeling the ionic movement which generates it as well as its propagation in cardiac muscle, specifically ventricular muscle. The ionic activity is modeled using ordinary differential equations (ODEs) as given by the Luo-Rudy Phase I model, whereas the spread of the electrical impulses is described by a partial differential equation (PDE) . Coupling the ODEs with the PDE results in a physiologically accurate mathematical representation of an important process.

The electrical activity responsible for every beat of the heart can be modeled mathematically. A complete mathematical picture of the electrical activity includes modeling the ionic movement which generates it as well as its propagation in cardiac muscle, specifically ventricular muscle. The ionic activity is modeled using ordinary differential equations (ODEs) as given by the Luo-Rudy Phase I model, whereas the spread of the electrical impulses is described by a partial differential equation (PDE) . Coupling the ODEs with the PDE results in a physiologically accurate mathematical representation of an important process.

Author: Mary C. MacLachlan

Advisor: Raymond J. Spiteri

Download: mmaclachlan_bsc_thesis