Taking Math to Heart: Mathematical Challenges in Cardiac Electrophysiology

John W. Cain, University of Richmond


On his website, University of Utah mathematics professor James Keener poses the question, “Did you know that heart attacks can give you mathematics!?” Indeed, there are a host of important research problems in cardiology that appear ideal for unified attack by mathematicians, clinicians, and biomedical engineers.What follows is a survey of six ongoing Challenge Problems that (i) seem tractable and (ii) draw from a variety of mathematical subdisciplines. We hope that this article will serve as a “call to arms” for mathematicians so that we, as a community, can contribute to an improved understanding of cardiac abnormalities.