L. Wolff, J. Parkinson, and P. D. White, Bundle-branch block with short pr interval in healthy young people prone to paroxysmal tachycardia, American Heart Journal, vol.5, issue.6, pp.685-704, 1930.

C. Fantoni, M. Kawabata, R. Massaro, F. Regoli, S. Raffa et al., Right and left ventricular activation sequence in patients with heart failure and right bundle branch block: a detailed analysis using three-dimensional non-fluoroscopic electroanatomic mapping system, Journal of cardiovascular electrophysiology, vol.16, issue.2, pp.112-119, 2005.

R. Imanishi, S. Seto, S. Ichimaru, E. Nakashima, K. Yano et al., Prognostic significance of incident complete left bundle branch block observed over a 40-year period, The American journal of cardiology, vol.98, issue.5, pp.644-648, 2006.

M. M. Scheinman, Role of the his-purkinje system in the genesis of cardiac arrhythmia, Heart Rhythm, vol.6, issue.7, pp.1050-1058, 2009.

M. E. Silverman, D. Grove, and C. B. Upshaw, Why does the heart beat?, Circulation, vol.113, issue.23, pp.2775-2781, 2006.

S. Abboud, O. Berenfeld, and D. Sadeh, Simulation of high-resolution qrs complex using a ventricular model with a fractal conduction system. effects of ischemia on high-frequency qrs potentials, Circulation research, vol.68, issue.6, pp.1751-1760, 1991.

O. Berenfeld and J. Jalife, Purkinje-muscle reentry as a mechanism of polymorphic ventricular arrhythmias in a 3-dimensional model of the ventricles, Circulation Research, vol.82, issue.10, pp.1063-1077, 1998.

M. Lorange and R. M. Gulrajani, A computer heart model incorporating anisotropic propagation: I. model construction and simulation of normal activation, Journal of electrocardiology, vol.26, issue.4, pp.245-261, 1993.

K. Simelius, J. Nenonen, and M. Horacek, Modeling cardiac ventricular activation, International Journal of Bioelectromagnetism, vol.3, issue.2, pp.51-58, 2001.

A. Azzouzi, Y. Coudì-ere, R. Turpault, and N. Zemzemi, A mathematical model of the purkinje-muscle junctions, Mathematical biosciences and engineering: MBE, vol.8, issue.4, p.915, 2011.

G. W. Beeler and H. Reuter, Reconstruction of the action potential of ventricular myocardial fibres, The Journal of physiology, vol.268, issue.1, p.177, 1977.

D. Difrancesco and D. Noble, A model of cardiac electrical activity incorporating ionic pumps and concentration changes, Philosophical Transactions of the Royal Society of London B, vol.307, pp.353-398, 1985.

C. Luo and Y. Rudy, A model of the ventricular cardiac action potential. depolarization, repolarization, and their interaction, Circulation research, vol.68, issue.6, pp.1501-1526, 1991.

C. Luo and Y. Rudy, A dynamic model of the cardiac ventricular action potential. i. simulations of ionic currents and concentration changes, Circulation research, vol.74, issue.6, pp.1071-1096, 1994.

D. Noble, A modification of the hodgkinhuxley equations applicable to purkinje fibre action and pacemaker potentials, The Journal of Physiology, vol.160, issue.2, p.317, 1962.

K. T. Tusscher and A. Panfilov, Modelling of the ventricular conduction system, Progress in biophysics and molecular biology, vol.96, issue.1, pp.152-170, 2008.
DOI : 10.1016/j.pbiomolbio.2007.07.026

R. R. Aliev and A. V. 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

URL : http://www.musc.edu/~alievr/papers/csf96_txt.ps.gz

R. Fitzhugh, Impulses and physiological states in theoretical models of nerve membrane, Biophysical journal, vol.1, issue.6, pp.445-466, 1961.

C. C. Mitchell and D. G. Schaeffer, A two-current model for the dynamics of cardiac membrane, Bulletin of mathematical biology, vol.65, issue.5, pp.767-793, 2003.

J. Nagumo, S. Arimoto, and S. Yoshizawa, An active pulse transmission line simulating nerve axon, Proceedings of the IRE, vol.50, issue.10, pp.2061-2070, 1962.
DOI : 10.1109/jrproc.1962.288235

J. M. Rogers 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

E. J. Vigmond and C. Clements, Construction of a computer model to investigate sawtooth effects in the purkinje system, IEEE transactions on biomedical engineering, vol.54, issue.3, pp.389-399, 2007.

S. M. Aouadi, W. Mbarki, and N. Zemzemi, Stability analysis of decoupled time-stepping schemes for the specialized conduction system/myocardium coupled problem in cardiology, Mathematical Modelling of Natural Phenomena, vol.12, issue.5, pp.208-239, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01655411

R. Bordas, K. Gillow, D. Gavaghan, B. Rodríguez, and D. Kay, A bidomain model of the ventricular specialized conduction system of the heart, SIAM Journal on Applied Mathematics, vol.72, issue.5, pp.1618-1643, 2012.

C. Angelo and A. Quarteroni, On the coupling of 1d and 3d diffusion-reaction equations: application to tissue perfusion problems, Mathematical Models and Methods in Applied Sciences, vol.18, issue.08, pp.1481-1504, 2008.

A. Kufner, Weighted sobolev spaces, vol.31, 1985.

T. Kilpeläinen, Smooth approximation in weighted sobolev spaces, Commentationes Mathematicae Universitatis Carolinae, vol.38, pp.29-36, 1997.

J. Ne?as, Sur une méthode pour résoudre leséquationsleséquations aux dérivées partielles du type elliptique, voisine de la variationnelle, vol.16, pp.305-326, 1962.