R. Aliev and A. Panfilov, A simple two-variable model of cardiac excitation, Chaos, Solitons & Fractals, vol.7, issue.3, pp.293-301, 1996.
DOI : 10.1016/0960-0779(95)00089-5

M. Bendahmane and K. H. Karlsen, Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue, Networks and Heterogeneous Media, vol.1, issue.1, pp.185-218, 2006.
DOI : 10.3934/nhm.2006.1.185

M. Boulakia, M. A. Fernandez, J. Gerbeau, and N. Zemzemi, A Coupled System of PDEs and ODEs Arising in Electrocardiograms Modeling, Applied Mathematics Research eXpress, 2008.
DOI : 10.1093/amrx/abn002

Y. Bourgault, Y. Coudì, and C. Pierre, Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology, Nonlinear Analysis: Real World Applications, vol.10, issue.1, pp.458-482, 2009.
DOI : 10.1016/j.nonrwa.2007.10.007
URL : https://hal.archives-ouvertes.fr/hal-00101458

N. F. Britton, Reaction-diffusion equations and their applications to biology, 1986.

D. G. Schaeffer and C. C. Mitchell, A two-current model for the dynamics of cardiac membrane, Bulletin Math Bio, vol.65, pp.767-793, 2003.

P. Colli-franzone, L. Guerri, and S. Tentoni, Mathematical modeling of the excitation process in myocardial tissue: influence of fiber rotation on wavefront propagation and potential field, Mathematical Biosciences, vol.101, issue.2, pp.155-235, 1990.
DOI : 10.1016/0025-5564(90)90020-Y

P. Colli-franzone, L. F. Pavarino, and B. Taccardi, Simulating patterns of excitation, repolarization and action potential duration with cardiac Bidomain and Monodomain models, Mathematical Biosciences, vol.197, issue.1, pp.35-66, 2005.
DOI : 10.1016/j.mbs.2005.04.003

P. Colli-franzone and G. Savaré, Degenerate evolution systems modeling the cardiac electric field at micro-and macroscopic level In Evolution equations, semigroups and functional analysis, Progr. Nonlinear Differential Equations Appl, vol.50, pp.49-78, 2002.

M. Ethier and Y. Bourgault, Semi-Implicit Time-Discretization Schemes for the Bidomain Model, SIAM Journal on Numerical Analysis, vol.46, issue.5, pp.2443-2468, 2008.
DOI : 10.1137/070680503

R. A. Fitzhugh, Impulses and Physiological States in Theoretical Models of Nerve Membrane, Biophysical Journal, vol.1, issue.6, pp.445-466, 1961.
DOI : 10.1016/S0006-3495(61)86902-6

J. Keener and J. Sneyd, Mathematical Physiology, 2004.
DOI : 10.1007/978-0-387-75847-3

P. , L. Guyader, F. Trelles, and P. Savard, Extracellular measurement of anisotropic bidomain myocardial conductivities. I. theoretical analysis, Annals Biomed. Eng, vol.29, issue.10, pp.862-877, 2001.

T. Björn-fredrik-nielsen, G. T. Syrstad-ruud, A. Lines, and . Tveito, Optimal monodomain approximations of the bidomain equations, Appl. Math. Comput, vol.184, issue.2, pp.276-290, 2007.

C. Pierre and Y. Bourgault, A comparison of the bidomain and the adapted monodomain models in electro-cardiology, 2010.

M. Potse, B. Dube, J. Richer, A. Vinet, and R. Gulrajani, A Comparison of Monodomain and Bidomain Reaction-Diffusion Models for Action Potential Propagation in the Human Heart, IEEE Transactions on Biomedical Engineering, vol.53, issue.12, pp.2425-2435, 2006.
DOI : 10.1109/TBME.2006.880875

J. M. Roger and A. D. Mcculloch, A collocation-Galerkin finite element model of cardiac action potential propagation, IEEE Transactions on Biomedical Engineering, vol.41, issue.8, pp.743-757, 1994.
DOI : 10.1109/10.310090

J. Smoller, Shock Waves and Reaction-Diffusion Equations, volume 258 of Grundlehren der mathematischen Wissenschaften, 1994.

J. Sundnes, G. T. Lines, X. Cai, B. F. Nielsen, K. Mardal et al., Computing the Electrical Activity in the Heart, Monogr. Comput . Sci. Eng, vol.1, 2006.

J. Sundnes, K. A. Bj?a¸rnbj?-bj?a¸rn-fredrik-nielsen, X. Mardal, and . Cai, On the Computational Complexity of the Bidomain and the Monodomain Models of Electrophysiology, Annals of Biomedical Engineering, vol.84, issue.2, pp.1088-1097, 2006.
DOI : 10.1007/s10439-006-9082-z

M. Veneroni, Reaction???diffusion systems for the macroscopic bidomain model of the cardiac electric field, Nonlinear Analysis: Real World Applications, vol.10, issue.2, pp.849-868, 2009.
DOI : 10.1016/j.nonrwa.2007.11.008