Abstract
BACOLI is a numerical software package that solves systems of parabolic partial differential equations (PDEs ) in one spatial dimension. It is based on high-order B-spline collocation and features adaptivity in space and time. The monodomain model of cardiac electrophysiology is a multi-scale model that couples electrical activity in myocardial tissue at the tissue scale with that at the cellular scale. This leads to a (parabolic ) reaction-diffusion PDE coupled with a set of nonlinear (non-parabolic) PDEs that do not involve spatial derivatives. In this paper, we extend BACOLI to solve this more general class of problem, of which the monodomain model is one example. We demonstrate that the extended BACOLI software package outperforms the Chaste software package, which is a powerful, widely used, and well-respected software package for heart simulation, in terms of execution time on the monodomain equation with two cell models of varying stiffness.
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Mirshekari, E., Spiteri, R.J. (2016). Extending BACOLI to Solve the Monodomain Model. In: Bélair, J., Frigaard, I., Kunze, H., Makarov, R., Melnik, R., Spiteri, R. (eds) Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-30379-6_41
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DOI: https://doi.org/10.1007/978-3-319-30379-6_41
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