M. A. Allessie, F. I. Bonke, and F. J. Schopman, Circus movement in rabbit atrial muscle as a mechanism of tachycardia, Circ. Res, vol.41, pp.9-18, 1977.

C. M. Armstrong, The Na/K pump, Cl ion, and osmotic stabilization of cells, Proc. Natl. Acad. Sci. U.S.A, vol.100, pp.6257-6262, 2003.

A. Arneodo, B. Audit, N. Decoster, J. Muzy, and C. Vaillant, A wavelet based multifractal formalism: application to DNA sequences, satellite images of the cloud structure and stock market data, The Science of Disasters: Climate Disruptions, Heart Attacks, and Market Crashes, pp.26-102, 2002.

A. Arneodo, B. Audit, P. Kestener, and S. G. Roux, Waveletbased multifractal analysis, vol.3, p.4103, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00338499

A. Arneodo, E. Bacry, S. Jaffard, and J. Muzy, Oscillating singularities on Cantor sets: a grand-canonical multifractal formalism, J. Stat. Phys, vol.87, pp.179-209, 1997.
URL : https://hal.archives-ouvertes.fr/hal-01557127

A. Arneodo, E. Bacry, S. Manneville, and J. Muzy, Analysis of random cascades using space-scale correlation functions, Phys. Rev. Lett, vol.80, pp.708-711, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01557118

A. Arneodo, E. Bacry, and J. Muzy, Oscillating singularities in locally self-similar functions, Phys. Rev. Lett, vol.74, pp.4823-4826, 1995.
URL : https://hal.archives-ouvertes.fr/hal-01557134

A. Arneodo, E. Bacry, and J. Muzy, The thermodynamics of fractals revisited with wavelets, Physica A, vol.213, pp.232-275, 1995.
URL : https://hal.archives-ouvertes.fr/hal-01557133

A. Arneodo, E. Bacry, and J. Muzy, Random cascades on wavelet dyadic trees, J. Math. Phys, vol.39, pp.4142-4164, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01557121

A. Arneodo, G. Grasseau, and M. Holschneider, Wavelet transform of multifractals, Phys. Rev. Lett, vol.61, pp.2281-2284, 1988.
URL : https://hal.archives-ouvertes.fr/hal-01557145

A. Arneodo, G. Grasseau, and E. J. Kostelich, Fractal dimensions and f (?) spectrum of the Hénon attractor, Phys. Lett. A, vol.124, pp.90546-90555, 1987.

A. Arneodo, S. Manneville, and J. Muzy, Towards log-normal statistics in high Reynolds number turbulence, Eur. Phys. J. B, vol.1, pp.129-140, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01557124

A. Arneodo, S. Manneville, J. Muzy, and S. G. Roux, Revealing a lognormal cascading process in turbulent velocity statistics with wavelet analysis, Philos. Trans. R. S. London Ser. A, vol.357, pp.2415-2438, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01557115

A. Arneodo, J. Muzy, and D. Sornette, Direct" causal cascade in the stock market, Eur. Phys. J. B, vol.2, pp.277-282, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01557125

A. Arneodo, C. Vaillant, B. Audit, F. Argoul, Y. Aubenton-carafa et al., Multi-scale coding of genomic information: from DNA sequence to genome structure and function, Phys. Rep, vol.498, pp.45-188, 2011.
URL : https://hal.archives-ouvertes.fr/ensl-00572973

G. Attuel, E. Gerasimova-chechkina, F. Argoul, H. Yahia, A. et al., Multifractal desynchronization of the cardiac excitable cell network during atrial fibrillation. I. Multifractal analysis of clinical data, Front. Physiol, vol.8, p.1139, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02108521

G. Attuel, O. Pont, B. Xu, Y. , and H. , Sudden cardiac death and turbulence, The Foundations of Chaos Revisited: From Poincaré to Recent Advancements, pp.235-248, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01207139

P. Attuel, D. Pellerin, G. , and J. , Latent atrial vulnerability: new means of electrophysiologic investigations in paroxysmal atrial arrhythmias, The Atrium in Health and Disease, pp.159-200, 1989.

B. Audit, E. Bacry, J. Muzy, A. , and A. , Wavelet-based estimators of scaling behavior, IEEE Trans. Info. Theory, vol.48, pp.2938-2954, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00344592

B. Audit, A. Baker, C. Chen, A. Rappailles, G. Guilbaud et al., Multiscale analysis of genome-wide replication timing profiles using a wavelet-based signal-processing algorithm, Nat. Protoc, vol.8, pp.98-110, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01557077

J. Ausma, H. M. Van-der-velden, M. Lenders, E. P. Van-ankeren, H. J. Jongsma et al., Reverse structural and gap-junctional remodeling after prolonged atrial fibrillation in the goat, Circulation, vol.107, pp.2051-2058, 2003.

E. Bacry, J. Muzy, A. , and A. , Singularity spectrum of fractal signals from wavelet analysis: exact results, J. Stat. Phys, vol.70, pp.635-674, 1993.
URL : https://hal.archives-ouvertes.fr/hal-01557137

G. Baier and M. Müller, Excitable chaos in diffusively coupled FitzHughNagumo equations, Rev. Mex. Fis, vol.50, pp.422-426, 2004.

M. Bär and L. Brusch, Breakup of spiral waves caused by radial dynamics: eckhaus and finite wavenumber instabilities, New J. Phys, vol.6, p.5, 2004.

M. Bär and M. Eiswirth, Turbulence due to spiral breakup in a continuous excitable medium, Phys. Rev. E, vol.48, p.1635, 1993.

G. W. Beeler and H. Reuter, Reconstruction of the action potential of ventricular myocardial fibres, J. Physiol, vol.268, pp.177-210, 1977.

A. Beuter, L. Glass, M. C. Mackey, and M. S. Titcombe, Nonlinear Dynamics in Physiology and Medicine, 2003.

O. Bikou, D. Thomas, K. Trappe, P. Lugenbiel, K. Kelemen et al., Connexin 43 gene therapy prevents persistent atrial fibrillation in a porcine model, Cardiovasc. Res, vol.92, pp.218-225, 2011.

T. Bohr and T. Tél, The thermodynamics of fractals, Directions in Chaos, vol.2, pp.194-237, 1988.

G. Bub, A. Shrier, and L. Glass, Global organization of dynamics in oscillatory heterogeneous excitable media, Phys. Rev. Lett, vol.94, p.28105, 2005.

F. F. Bukauskas and V. K. Verselis, Gap junction channel gating, Biochim. Biophys. Acta, vol.1662, pp.42-60, 2004.
DOI : 10.1016/j.bbamem.2004.01.008

URL : https://doi.org/10.1016/j.bbamem.2004.01.008

J. M. Burt and D. C. Sray, Single-channel events and gating behavior of the cardiac gap junction channel, Proc. Natl. Acad. Sci. U.S.A, vol.85, pp.3431-3434, 1988.

D. R. Chialvo, R. J. Gilmour, J. , and J. , Low dimensional chaos in cardiac tissue, Nature, vol.343, pp.653-657, 1990.

V. Chudácek, J. Andén, S. Mallat, P. Abry, and M. Doret, Scattering transform for intrapartum fetal heart rate variability fractal analysis: a case-control study, IEEE Trans. Biomed. Eng, vol.61, pp.1100-1108, 2014.

P. Ciuciu, G. Varoquaux, P. Abry, S. Sadaghiani, and A. Kleinschmidt, Scale-free and multifractal time dynamics of fMRI signals during rest and task, Front. Physiol, vol.3, p.186, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00852175

W. C. Cole, J. B. Picone, and N. Sperelakis, Gap junction uncoupling and discontinuous propagation in the heart, Biophys. J, vol.53, pp.83160-83166, 1988.

M. Courtemanche, L. Glass, and J. P. Keener, Instabilities of a propagating pulse in a ring of excitable media, Phys. Rev. Lett, vol.70, pp.2182-2185, 1993.

J. L. Cox, R. B. Schuessler, H. J. Agostino, C. M. Stone, B. C. Chang et al., The surgical treatment of atrial fibrillation. III. Development of a definitive surgical procedure, J. Thorac. Cardiovasc. Surg, vol.101, pp.569-583, 1991.

S. B. Danik, F. Liu, J. Zhang, H. J. Suk, G. E. Morley et al., Modulation of cardiac gap junction expression and arrhythmic susceptibility, Circ. Res, vol.95, pp.1035-1041, 2004.
DOI : 10.1161/01.res.0000148664.33695.2a

URL : https://www.ahajournals.org/doi/pdf/10.1161/01.RES.0000148664.33695.2a

I. Daubechies, Ten Lectures on Wavelets. CBMS-NSF Reg. Conf. Ser. Appl. Math, vol.61, 1992.

M. A. De-la-casa, F. J. De-la-rubia, and P. C. Ivanov, Patterns of phasedependent spiral wave attenuation in excitable media, Phys. Rev. E, vol.75, p.51923, 2007.

M. A. De-la-casa, F. J. De-la-rubia, and P. C. Ivanov, Patterns of spiral wave attenuation by low-frequency periodic planar fronts, Chaos, vol.17, p.15109, 2007.

J. Delour, J. Muzy, A. , and A. , Intermittency of 1D velocity spatial profiles in turbulence: a magnitude cumulant analysis, Eur. Phys. J. B, vol.23, pp.243-248, 2001.
URL : https://hal.archives-ouvertes.fr/hal-01557109

T. Desplantez, E. Dupont, N. J. Severs, and R. Weingart, Gap junction channels and cardiac impulse propagation, J. Membr. Biol, vol.218, pp.13-28, 2007.
DOI : 10.1007/s00232-007-9046-8

URL : https://boris.unibe.ch/22601/1/232_2007_Article_9046.pdf

P. J. Diaz, Y. Rudy, and R. Plonsey, Intercalated discs as a cause for discontinuous propagation in cardiac muscle: a theoretical simulation, Ann. Biomed. Eng, vol.11, pp.177-189, 1983.

E. Dupont, T. Matsushita, R. A. Kaba, C. Vozzi, S. R. Coppen et al., Altered connexin expression in human congestive heart failure, J. Mol. Cell. Cardiol, vol.33, pp.353-371, 2001.

W. H. Evans and P. E. Martin, Gap junctions: structure and function (review), Mol. Membr. Biol, vol.19, pp.121-136, 2002.
DOI : 10.1080/09687680210139839

F. H. Fenton and E. M. Cherry, Models of cardiac cell, vol.3, p.1868, 2008.

F. H. Fenton, E. M. Cherry, H. M. Hasting, and S. J. Evans, Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity, Chaos, vol.12, pp.852-892, 2002.

F. H. Fenton, K. , and A. , Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: filament instability and fibrillation, Chaos, vol.8, pp.20-47, 1998.

R. Fitzhugh, Mathematical Models of Excitation and Propagation in Nerve, Biological Engineering, 1962.

K. Gadhoumi, D. Do, F. Badilini, M. M. Pelter, and X. Hu, Wavelet leader multifractal analysis of heart rate variability in atrial fibrillation, J. Electrocardiol, vol.51, pp.83-87, 2018.

A. N. Ganesan, N. J. Shipp, A. G. Brooks, P. Kuklik, D. H. Lau et al., Long-term outcomes of catheter ablation of atrial fibrillation: a systematic review and meta-analysis, J. Am. Heart Assoc, vol.2, p.4549, 2013.

A. Garfinkel, P. Chen, D. O. Walter, H. S. Karagueuzian, B. Kogan et al., Quasiperiodicity and chaos in cardiac fibrillation, J. Clin. Invest, vol.99, pp.305-314, 1997.
DOI : 10.1172/jci119159

URL : http://www.jci.org/articles/view/119159/files/pdf

E. Gerasimova, B. Audit, S. G. Roux, A. Khalil, O. Gileva et al., Wavelet-based multifractal analysis of dynamic infrared thermograms to assist in early breast cancer diagnosis, Front. Physiol, vol.5, p.176, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01586151

E. Gerasimova-chechkina, B. Toner, Z. Marin, B. Audit, S. G. Roux et al., Comparative multifractal analysis of dynamic infrared thermograms and X-ray mammograms enlightens changes in the environment of malignant tumors, Front. Physiol, vol.7, p.336, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01391739

M. Gerhardt, M. Schuster, and J. J. Tyson, A cellular automaton model of excitable media including curvature and dispersion, Science, vol.247, pp.1563-1566, 1990.

L. Glass and M. C. Mackey, A simple model for phase locking of biological oscillations, J. Math. Biol, vol.6, pp.207-223, 1979.

L. Glass and M. C. Mackey, From Clocks to Chaos: The Rhythms of Life, 1987.

A. L. Goldberger, L. A. Amaral, J. M. Hausdorff, P. C. Ivanov, C. Peng et al., Fractal dynamics in physiology: alterations with disease and aging, Proc. Natl. Acad. Sci. U.S.A, vol.99, pp.2466-2472, 2002.

M. H. Gollob, D. L. Jones, A. D. Krahn, L. Danis, X. Gong et al., Somatic mutations in the connexin 40 gene (gja5) in atrial fibrillation, N. Eng. J. Med, vol.354, pp.2677-2688, 2006.

R. A. Gray, J. Jalife, A. V. Panfilov, W. T. Baxter, C. Cabo et al., Mechanisms of cardiac fibrillation, Science, vol.270, pp.1222-1225, 1995.
DOI : 10.1126/science.270.5239.1222

URL : http://science.sciencemag.org/content/270/5239/1222.full.pdf

A. Grossmann and J. Morlet, Decomposition of Hardy functions into square integrable wavelets of constant shape, SIAM J. Math. Anal, vol.15, pp.723-736, 1984.

J. Guckenheimer and C. Kuehn, Homoclinic orbits of the Fitzhugh Nagumo equation: the singular-limit, Discrete Contin. Dyn. Syst, vol.2, pp.851-872, 2009.

M. R. Guevara and L. Glass, Phase locking, period-doubling bifurcations, and chaos in a mathematical model of a periodically driven oscillator: a theory for the entrainement of biological oscillators and the generation of cardiac dysrhythmias, J. Math. Biol, vol.14, pp.1-23, 1982.

M. R. Guevara, L. Glass, and A. Shrier, Phase locking, period-doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells, Science, vol.214, pp.1350-1353, 1981.

M. Haïssaguerre, P. Jaïs, D. C. Shah, A. Takahashi, M. Hocini et al., Spontaneous initiation of atrial fibrillation by ectopic beats originating in the pulmonary veins, N. Engl. J. Med, vol.339, pp.659-666, 1998.

P. E. Hand and B. E. Griffith, Adaptive multiscale model for simulating cardiac conduction, Proc. Natl. Acad. Sci. U.S.A, vol.107, pp.14603-14608, 2010.

P. E. Hand and C. S. Peskin, Homogenization of an electrophysiological model for a strand of cardiac myocytes with gap-junctional and electric-field coupling, Bull. Math. Biol, vol.72, pp.1408-1424, 2010.

A. L. Harris, Emerging issues of connexin channels: biophysics fills the gap, Q. Rev. Biophys, vol.34, pp.325-472, 2001.

B. Hille, Ion Channels of Excitable Membranes, 2001.

S. Y. Ho, J. A. Cabrera, and D. Sanchez-quintana, Left atrial anatomy revisited, Circ. Arrhythm. Electrophysiol, vol.5, pp.220-228, 20012.

A. L. Hodgkin and A. F. Huxley, Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo, J. Physiol, vol.116, pp.449-472, 1952.

A. L. Hodgkin and A. F. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Physiol, vol.117, pp.500-544, 1952.

T. Igarashi, J. E. Finet, A. Takeuchi, Y. Fujino, M. Strom et al., Connexin gene transfer preserves conduction velocity and prevents atrial fibrillation, Circulation, vol.125, pp.216-225, 2012.

H. Ito and L. Glass, Spiral breakup in a new model of discrete excitable media, Phys. Rev. Lett, vol.66, pp.671-674, 1991.

P. C. Ivanov, L. A. Amaral, A. L. Goldberger, S. Havlin, M. G. Rosenblum et al., From 1/f noise to multifractal cascades in heartbeat dynamics, Chaos, vol.11, pp.641-652, 2001.

P. C. Ivanov, L. A. Amaral, A. L. Goldberger, S. Havlin, M. G. Rosenblum et al., Multifractality in human heartbeat dynamics, Nature, vol.399, pp.461-465, 1999.

P. C. Ivanov, L. A. Amaral, A. L. Goldberger, and H. E. Stanley, Stochastic feedback and the regulation of biological rhythms, Europhys. Lett, vol.43, pp.363-368, 1998.

P. C. Ivanov, Q. D. Ma, R. P. Bartsch, J. M. Hausdorff, L. A. Nunes-amaral et al., Levels of complexity in scale-invariant neural signals, Phys. Rev. E, vol.79, p.41920, 2009.

E. M. Izhikevich, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting, 2007.

E. M. Izhikevich and R. Fitzhugh, FitzHugh Nagumo model, vol.1, p.1349, 2006.

S. Jaffard, Hölder exponents at given points and wavelet coefficients, C. R. Acad. Sci. Paris Ser. I, vol.308, pp.79-81, 1989.

S. Jaffard, Multifractal formalism for functions part I: results valid for all functions, SIAM J. Math. Anal, vol.28, pp.944-970, 1997.

S. Jaffard, Multifractal formalism for functions part II: self-similar functions, SIAM J. Math. Anal, vol.28, pp.971-998, 1997.

S. Jaffard, B. Lashermes, A. , and P. , Wavelet leaders in multifractal analysis, pp.201-246, 2007.
URL : https://hal.archives-ouvertes.fr/ensl-00195088

J. H. Jensen, P. L. Christiansen, and A. C. Scott, Chaos in the Beeler-Reuter system for the action potential of ventricular myocardial fibres, Physica D, vol.13, pp.269-277, 1984.

R. W. Joyner, R. Veenstra, D. Rawling, and A. Chorro, Propagation through electrically coupled cells. Effects of a resistive barrier, Biophys. J, vol.45, pp.1017-1025, 1984.

A. Karma, Spiral breakup in model equations of action potential propagation in cardiac tissue, Phys. Rev. Lett, vol.71, pp.1103-1106, 1993.

J. P. Keener, The effects of gap junctions on propagation in myocardium: a modified cable theory, Ann. N. Y. Acad. Sci, vol.591, pp.257-277, 1990.

N. M. Kumar and N. B. Gilula, The gap junction communication channel, Cell, vol.84, pp.381-388, 1996.

R. F. Leonarduzzi, G. Schlotthauer, and M. E. Torres, Wavelet leader based multifractal analysis of heart rate variability during myocardial ischaemia, Annual International Conference of the IEEE Engineering in Medicine and Biology, pp.110-113, 2010.

J. Lin and J. P. Keener, Ephaptic coupling in cardiac myocytes, IEEE Trans. Biomed. Circuits Syst, vol.60, pp.576-582, 2010.

J. Lin and J. P. Keener, Modeling electrical activity of myocardial cells incorporating the effects of ephaptic coupling, Proc. Natl. Acad. Sci. U.S.A, vol.107, pp.20935-20940, 2013.

P. W. Macfarlane, A. Van-oosterom, P. Kligfield, O. Pahlm, M. Janse et al., Comprehensive Electrocardiography, 2011.

S. Mallat, A Wavelet Tour of Signal Processing, 1998.

S. Mallat and W. L. Hwang, Singularity detection and processing with wavelets, IEEE Trans. Inf. Theory, vol.38, pp.617-643, 1992.

C. Meneveau and K. Sreenivasan, The multifractal nature of turbulent energy dissipation, J. Fluid Mech, vol.224, pp.429-484, 1991.

Y. Meyer, Wavelets and Operators, 1992.

G. K. Moe and J. A. Abildskov, Atrial fibrillation as a self-sustaining arrhythmia independent of focal discharge, Am. Heart J, vol.58, pp.59-70, 1959.

G. K. Moe, W. C. Rheinboldt, and J. A. Abildskov, A computer model of atrial fibrillation, Am. Heart J, vol.67, pp.200-220, 1964.

J. Muzy, E. Bacry, A. , and A. , Wavelets and multifractal formalism for singular signals: application to turbulence data, Phys. Rev. Lett, vol.67, pp.3515-3518, 1991.
URL : https://hal.archives-ouvertes.fr/hal-01557140

J. Muzy, E. Bacry, A. , and A. , Multifractal formalism for fractal signals: the structure-function approach versus the wavelettransform modulus-maxima methods, Phys. Rev. E, vol.47, pp.875-884, 1993.

J. Muzy, E. Bacry, A. , and A. , The multifractal formalism revisited with wavelets, Int. J. Bifurc. Chaos, vol.4, pp.245-302, 1994.
URL : https://hal.archives-ouvertes.fr/hal-01557136

J. Muzy, D. Sornette, J. Delour, A. , and A. , Multifractal returns and hierarchical portfolio theory, Quant. Finance, vol.1, pp.131-148, 2001.
DOI : 10.1088/1469-7688/1/1/310

URL : http://arxiv.org/pdf/cond-mat/0008069

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

S. Nattel and M. Harada, Atrial remodeling and atrial fibrillation: recent advances and translational perspectives, J. Am. Coll. Cardiol, vol.63, pp.2335-2345, 2014.

J. Neyton and A. Trautmann, Physiological modulation of gap junction permeability, J. Exp. Biol, vol.124, pp.93-114, 1986.

S. Nicolay, E. B. Brodie-of-brodie, M. Touchon, B. Audit, Y. Carafa et al., Bifractality of human DNA strandasymmetry profiles results from transcription, Phys. Rev. E, vol.75, p.32902, 2007.
URL : https://hal.archives-ouvertes.fr/ensl-00198448

E. Niebur, Neuronal cable theory, vol.3, p.2674, 2008.
DOI : 10.4249/scholarpedia.2674

URL : https://doi.org/10.4249/scholarpedia.2674

D. Noble, A modification of the Hodgkin-Huxley equations applicable to Purkinje fibre action and pacemaker potentials, J. Physiol, vol.160, pp.317-352, 1962.

D. Noble, Electrical properties of cardiac muscle attributable to inward-going (anomalous) rectification, J. Cell Comp. Physiol, vol.66, pp.127-136, 1965.

J. B. Nolasco and R. W. Dahlen, Graphic method for the study of alternation in cardiac action potential, J. Appl. Physiol, vol.5, pp.191-196, 1968.

L. A. Nunes-amaral, P. C. Ivanov, N. Aoyagi, I. Hidaka, S. Tomono et al., Behavioral-independent features of complex heartbeat dynamics, Phys. Rev. Lett, vol.86, pp.6026-6029, 2001.

A. Panfilov and P. Hogeweg, Spiral breakup in a modified FitzHugh-Nagumo model, Phys. Lett. A, vol.176, issue.93, p.90921, 1993.

C. Perrachia, Chemical gating of gap junction channels Roles of calcium, pH and calmodulin, Biochim. Biophys. Acta, vol.1662, pp.61-80, 2004.

A. M. Pertsov, J. M. Davidenko, R. Salomonsz, W. T. Baxter, J. et al., Spiral waves of excitation underlie reentrant activity in isolated cardiac muscle, Circ. Res, vol.72, pp.631-650, 1993.

R. Plonsey and R. C. Barr, Bioelectricity: A Quantitative Approach, 2007.

A. Pumir, A. Arutunyan, V. Krinsky, and N. Sarvazyan, Genesis of ectopic waves: role of coupling, automaticity, and heterogeneity, Biophys. J, vol.89, pp.2332-2349, 2005.

C. D. Richard, A. Tanenbaum, B. Audit, A. Arneodo, A. Khalil et al., Swdreader: a wavelet-based algorithm using spectral phase to characterize spike-wave morphological variation in genetic models of absence epilepsy, J. Neurosci. Methods, vol.242, pp.127-140, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01557071

S. G. Roux, V. Venugopal, K. Fienberg, A. Arneodo, and E. Foufoula-georgiou, Evidence for inherent nonlinearity in temporal rainfall, Adv. Water Resourc, vol.32, pp.41-48, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00374814

N. J. Severs, The cardiac gap junction and intercalated disc, Int. J. Cardiol, vol.26, pp.137-173, 1990.

N. J. Severs, A. F. Bruce, E. Dupont, and S. Rothery, Remodelling of gap junctions and connexin expression in diseased myocardium, Cardiovasc. Res, vol.80, pp.9-19, 2008.

M. S. Spach, The discontinuous nature of electrical propagation in cardiac muscle, Ann. Biomed. Eng, vol.2, pp.209-261, 1983.

D. C. Spray, R. L. White, A. Campos-de-carvalho, A. L. Harris, and M. V. Bennet, Gating of gap junction channels, Biophys. J, vol.45, pp.219-230, 1984.
DOI : 10.1016/s0006-3495(84)84150-8

URL : https://doi.org/10.1016/s0006-3495(84)84150-8

P. Swietach, J. Youm, N. Saegusa, C. Leem, K. W. Spitzer et al., Coupled Ca 2+ /H + transport by cytoplasmic buffers regulates local Ca 2+ and H + ion signaling, Proc. Natl. Acad. Sci. U.S.A, vol.110, pp.2064-2073, 2013.
DOI : 10.1073/pnas.1222433110

URL : https://www.pnas.org/content/pnas/110/22/E2064.full.pdf

K. Takashi, Van der Pol oscillator, vol.2, p.2202, 2007.

M. Takigawa, A. Takahashi, T. Kuwahara, K. Okubo, Y. Takahashi et al., Long-term follow-up after catheter ablation of paroxysmal atrial fibrillation: the incidence of recurrence and progression of atrial fibrillation, Circ. Arrhythm. Electrophysiol, vol.7, pp.267-273, 2014.

D. C. Tosteson and J. F. Hoffman, Regulation of cell volume by active cation transport in high and low potassium sheep red cells, J. Gen. Physiol, vol.44, pp.169-194, 1960.

B. Van-der-pol and J. Van-der-mark, The heartbeat considered as a relaxation oscillation and an electrical model of the heart, Philos. Mag, vol.7, pp.763-775, 1928.

H. M. Van-der-velden, J. Ausma, M. B. Rook, A. J. Hellemons, T. A. Van-veen et al., Cardiac gap junctions and connexins: their role in atrial fibrillation and potential as therapeutic targets, Cardiovasc. Res, vol.46, pp.270-279, 2000.

V. Venugopal, S. G. Roux, E. Foufoula-georgiou, A. , and A. , Revisiting multifractality of high-resolution temporal rainfall using a waveletbased formalism, Water Resour. Res, vol.42, pp.6-14, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00376334

H. Wang, J. L. Jian, F. L. Lemanski, and R. D. Veenstra, Gating of mammalian cardiac gap junction channels by transjunctional voltage, Biophys. J, vol.63, pp.139-151, 1992.

S. Weidmann, The diffusion of radiopotassium across intercalated disks of mammalian cardiac muscle, J. Physiol, vol.187, pp.323-342, 1966.

H. Wendt, P. Abry, J. , and S. , Bootstrap for empirical multifractal analysis, IEEE Signal Process. Mag, vol.24, pp.38-48, 2007.

H. Wendt, K. Kiyono, P. Abry, J. Hayano, E. Watanabe et al., Multiscale wavelet p-leader based heart rate variability analysis for survival probability assessment in CHF patients, Proceedings of the International Conference of the IEEE Engineering in Medicine and Biology Society, pp.2809-2812, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01150339

B. J. West, N. Scafetta, W. H. Cooke, and R. Balocchi, Influence of progressive central hypovolemia on Hölder exponent distributions of cardiac interbeat intervals, Ann. Biomed. Eng, vol.32, pp.1077-1087, 2004.

A. T. Winfree, Electrical instability in cardiac muscle: phase singularities and rotors, J. Theor. Biol, vol.138, pp.353-405, 1989.

D. P. Zipes, J. Jalife, and S. , Cardiac Electrophysiology: From Cell to Bedside, 2017.