Spiral waves arise in a variety of natural systems, including cardiac arrhythmias. Ventricular tachycardia, a dangerous fast-paced heart rate, is a result of a sustained spiral wave rotating on the surface of the heart. After the spiral destabilizes, unorganized electrical activity leads to sudden cardiac arrest (SCA) – the leading natural cause of death in the US. I am interested in the stability of spiral waves, and how spectral properties of spirals on bounded domains can provide insight into understanding SCA onset from a mathematical perspective.
Dr. Sandstede's reseach group participates in weekly meetings and each semester discusses a topic in dynamical systems. The topics covered are below, as well as my contributions.
|Spring 2016||Nonlinear Waves: Spatial Dynamics and Fredholm Approaches|
|Fall 2016||Vegetation Patterns||Localised pattern formation in a model for dryland vegetation||Slides|
|Spring 2017||Data Science||Data Science in Cooking||Slides|
|Fall 2017||Dynamics and Statistics||Introduction to Parameter Estimation|