Department of Computer Science
University of Saskatchewan
Title: Stiffness analysis of cardiac cell models: implications on real-time heart simulation
The electrophysiology in a cardiac cell can be modelled as a system of ordinary differential equations. The efficient solution of these systems is important because they must be solved billions of times as sub-problems of organ-level simulations involving partial differential equations. The wide variety of existing cardiac cell models encompasses many different properties, including the complexity of the model and the degree of stiffness. In this talk, I discuss the stiffness properties of a range of cardiac cell models and discuss the implications for their numerical solution. In particular we explain the success of the celebrated Rush--Larsen method that is widely used by computational biophysicists to simulate cardiac electrophysiology. Furthermore this analysis allows us to design numerical methods that are more effective than the Rush--Larsen method and hence move us closer to real-time heart simulation.