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This first case corresponds to the Model M-3D (3D monodomain model) with meshsize dx = 0.5, timestep dt = 0.01 of the paper "Niederer SA, Kerfoot E, Benson AP, et al. Verification of cardiac tissue electrophysiology simulators using an N-version benchmark". *Philos Trans A Math Phys Eng Sci*. 2011;369(1954):4331–4351.

The paper provided the benchmark evaluated by 11 simulation platforms to generate a consensus converged solution.

EP_Niederer_monodomain.zip : See Figure 1 for activation time.

The next three cases respectfully correspond to the Model M-3D (3D monodomain model), Model B-3D (3D bidomain model) and Model BB-3D (3D bidomain with bath model) with h=0.05 of the paper "Pathmanathan, P. and Gray, R. A. (2014), Verification of computational models of cardiac electro‐physiology". Int. J. Numer. Meth. Biomed. Engng., 30: 525-544.

Those are some of the electro-physiology benchmarks proposed by the FDA, with an analytical solution to compare with.

EP_FDA_M3D.zip : See Figure 2 for Transmembrane potential and voltage infinite norm error vs time.

EP_FDA_B3D.zip : See Figure 3 for Transmembrane potential and voltage infinite norm error vs time.

EP_FDA_BB3D.zip : See Figure 4 for Transmembrane potential and voltage infinite norm error vs time.

This next two cases respectfully corresponds to the Model BDM (full bodomain) and Model MDMEQ (augmented monodomain equivalent bidomain model) of the paper "Representing cardiac bidomain bath-loading effects by an augmented monodomain approach: application to complex ventricular models", M. Bishop and G. Plank, IEEE Trans Biomed Eng. 2011; 58(4) 1066-1075.

EP_bath_BDM.zip : Figure 5 shows the comparison of voltage distributions within the slab model following a pacing simulus along the x=0 face between the BDM solution in the paper and BDM solution by LS-DYNA.

EP_bath_MDMEQ.zip : Figure 6 shows shows the comparison of voltage distributions within the slab model following a pacing simulus along the x=0 face between the BDM solution in the paper and BDM solution by LS-DYNA.

The following case corresponds to an arrhythmia with spiral waves in a simple ventricle-like geometry, using the mono-domain. The spiral waves are created by the second stimulus in the refractory tail of the wave created by the first stimulus. If the second stimulus is commented out, the case corresponds to a healthy ventricle.

EP_ventricle_arrhythmia.zip :Figure 7 shows the transmembrane potential with the spiral wave formation.