Pacific Institute for the Mathematical Sciences - PIMS

Stiffness analysis of cardiac cell models

Abstract
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 many times as sub-problems of
tissue- or organ-level simulations of cardiac electrophysiology. The
wide variety of existing cardiac cell models encompasses many different
properties, including the complexity of the model and the degree of
stiffness. Accordingly, no single numerical method can be expected to be
the most efficient for every model. In this talk, I discuss the
stiffness properties of a range of cardiac cell models and discuss the
implications for their numerical solution. This analysis allows us to
select or design numerical methods that are highly effective for a given
model and hence outperform commonly used methods.

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