Mathematics Colloquium: Modeling Cardiac Electrophysiology (canceled)
4:10 PM; Neill Hall 5W
Abstract: A single heartbeat is the result of countless interdependent chemical, electrical, and mechanical processes occurring on multiple scales. Central to these processes is a complicated electrochemical event called the action potential which initiates cardiac cell contraction. Efforts to mathematically model these complex electrodynamics live at the crossroads of math, biology, physics, chemistry, and electrical engineering. In this talk, I will present a brief introduction to cardiac electrophysiology and biophysical principles. I will then derive, from these principles, the standard mathematical framework underpinning many cardiac action potential models and will discuss how I have modified this standard framework to account for new experimental findings. The resulting model is a system of nonlinear, highly coupled ordinary differential equations which provides the theoretical basis for a novel hypothesis about the subcellular mechanisms involved in a certain class of cardiac arrhythmia. This talk will discuss how mathematical modeling can be used as a powerful tool to provide insight into biophysical mechanisms, to develop new hypotheses, and to inform experimental design.