A dual adaptive explicit time integration algorithm for efficiently solving the cardiac monodomain equation

The monodomain model is widely used in in-silico cardiology to describe excitation propagation the myocardium. Frequently, operator splitting decouple stiff reaction term and diffusion so that they can be solved separately. Commonly, implicitly with a large time step while by using an explicit method adaptive stepping. In this work, we propose fully for solution of decoupled model. contrast semi-implicit methods, methods present lower memory footprint higher scalability. However, such are only conditionally stable. We overcome conditional stability limitation proposing dual which integration applied both terms. set numerical examples where cardiac simulated under physiological pathophysiological conditions, results show our proposed presents preserved accuracy improved computational efficiency as compared standard splitting-based methods.