An efficient isogeometric collocation approach to cardiac electrophysiology

We propose an isogeometric collocation approach to an efficient solution of the monodomain reaction–diffusion equation. The strong formulation, compared to standard Galerkin methods, easily models tissue composed of different cell types and enables an effective discretization of the reactive term reducing the computational effort due to the integration of the cellular model. We demonstrate the capabilities of the proposed approach with several numerical examples, ranging from the propagation of a planar wave front, to the simulation of complex tissue activation patterns and of the propagation of an action potential in a layered tissue.