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Extending BACOLI to Solve the Monodomain Model

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author

Listed:
  • Elham Mirshekari

    (University of Saskatchewan, Department of Mathematics and Statistics)

  • Raymond J. Spiteri

    (University of Saskatchewan, Department of Computer Science)

Abstract

BACOLI BACOLI Monodomain model BACOLI is a numerical software Software package that solves systems of parabolic Parabolic partial differential equations (PDEs PDE ) in one spatial dimension. It is based on high-order B-spline collocation Collocation and features adaptivity in space and time. The monodomain model Monodomain model of cardiac electrophysiology Electrophysiology is a multi-scale 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 Parabolic ) reaction-diffusion PDE PDE coupled with a set of nonlinear (non-parabolic) PDEs PDE that do not involve spatial derivatives. In this paper, we extend BACOLI Extended BACOLI to solve this more general class of problem, of which the monodomain model Monodomain model is one example. We demonstrate that the extended BACOLI Extended BACOLI software Software package outperforms the Chaste Chaste software Software package, which is a powerful, widely used, and well-respected software Software package for heart simulation, in terms of execution time on the monodomain equation with two cell models Cell model of varying stiffness.

Suggested Citation

  • Elham Mirshekari & Raymond J. Spiteri, 2016. "Extending BACOLI to Solve the Monodomain Model," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 447-457, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_41
    DOI: 10.1007/978-3-319-30379-6_41
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