Feedback control of pathological rhythms in two models of cardiac activity

This report is a brief survey of some results using feedback to control two diverse models of cardiac electrical activity. A chaotic quadratic map has been used as a model of ventricular fibrillation. Here we describe simulations to control this map using a self-tuning feedback controller. We also demonstrate control of a one-dimensional circle map which has been used as a model of the cardiac arrhythmia known as modulated ventricular parasystole. We show that feedback control offers a straightforward and viable alternative for stabilization of these model systems in comparison to OGY or other control methods.