A. Ivorra, J. Villemejane, and L. M. Mir, Electrical modeling of the influence of medium conductivity on electroporation, Physical Chemistry Chemical Physics, vol.5, issue.34, pp.10055-10064, 2010.
DOI : 10.1006/mthe.2002.0526

B. Alain, Modèles et modélisation enélectrotechniqueenélectrotechnique, pp.1-25, 1991.

H. Ammari, E. Beretta, and E. Francini, Reconstruction of thin conductivity imperfections, II. The case of multiple segments, Applicable Analysis, vol.362, issue.1-3, pp.87-105, 2006.
DOI : 10.1088/0266-5611/20/6/010

H. Ammari and S. He, Effective impedance boundary conditions for an inhomogeneous thin layer on a curved metallic surface, IEEE Transactions on Antennas and Propagation, vol.46, issue.5, pp.710-715, 1998.
DOI : 10.1109/8.668915

H. Ammari and H. Kang, Reconstruction of conductivity inhomogeneities of small diameter via boundary measurements, Inverse problems and spectral theory, pp.23-32, 2004.
DOI : 10.1090/conm/348/06311

H. Ammari and H. Kang, Reconstruction of Small Inhomogeneities from Boundary Measurements, Lecture Notes in Mathematics, vol.1846, issue.1846, 2004.
DOI : 10.1007/b98245

H. Ammari and H. Kang, Polarization and moment tensors With applications to inverse problems and effective medium theory, Applied Mathematical Sciences, vol.162, 2007.

H. Ammari and S. Moskow, Asymptotic expansions for eigenvalues in the presence of small inhomogeneities, Mathematical Methods in the Applied Sciences, vol.61, issue.1, pp.67-75, 2003.
DOI : 10.1002/mma.343

Y. Capdeboscq and M. S. Vogelius, A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction, ESAIM: Mathematical Modelling and Numerical Analysis, vol.37, issue.1, pp.159-173, 2003.
DOI : 10.1051/m2an:2003014

K. Debruin and W. Krassowska, Modeling Electroporation in a Single Cell. I. Effects of Field Strength and Rest Potential, Biophysical Journal, vol.77, issue.3, pp.1213-1224, 1999.
DOI : 10.1016/S0006-3495(99)76973-0

B. A. Dubrovin, A. T. Fomenko, and S. P. Novikov, Modern geometry? methods and applications. Part I, volume 93 of Graduate Texts in Mathematics The geometry of surfaces, transformation groups, and fields, 1992.
DOI : 10.1007/978-1-4612-4474-5

B. Engquist and J. C. Nédélec, Effective boundary condition for acoustic and electromagnetic scattering thin layer, 1993.

E. C. Fear and M. A. Stuchly, Modelling assemblies of biological cells exposed to electric fields, CCECE '97. Canadian Conference on Electrical and Computer Engineering. Engineering Innovation: Voyage of Discovery. Conference Proceedings, pp.1259-1271, 1998.
DOI : 10.1109/CCECE.1997.608312

K. R. Foster and H. P. Schwan, Dielectric properties of tissues and biological materials: a critical review, CRC in Biomedical Engineering, vol.17, issue.1, pp.25-104, 1989.

G. Guyomarc-'h, C. Lee, and K. Jeon, A discontinuous Galerkin method for elliptic interface problems with application to electroporation, Communications in Numerical Methods in Engineering, vol.59, issue.10, pp.991-1008, 2009.
DOI : 10.1002/cnm.1132

M. Marty, G. Sersa, and J. Garbay, Electrochemotherapy ??? An easy, highly effective and safe treatment of cutaneous and subcutaneous metastases: Results of ESOPE (European Standard Operating Procedures of Electrochemotherapy) study, European Journal of Cancer Supplements, vol.4, issue.11, pp.3-13, 2006.
DOI : 10.1016/j.ejcsup.2006.08.002

URL : https://hal.archives-ouvertes.fr/hal-00093693

C. Poignard, Approximate transmission conditions through a weakly oscillating thin layer, Mathematical Methods in the Applied Sciences, vol.67, issue.4, pp.435-453, 2009.
DOI : 10.1002/mma.1045

URL : https://hal.archives-ouvertes.fr/inria-00334772

C. Poignard, P. Dular, R. Perrussel, L. Krähenbühl, L. Nicolas et al., Approximate Conditions Replacing Thin Layers, IEEE Transactions on Magnetics, vol.44, issue.6, pp.1154-1157, 2008.
DOI : 10.1109/TMAG.2007.916154

URL : https://hal.archives-ouvertes.fr/hal-00165049

G. Pucihar, T. Kotnik, B. Vali?, and D. Miklav?i?, Numerical Determination of Transmembrane Voltage Induced on Irregularly Shaped Cells, Annals of Biomedical Engineering, vol.32, issue.4, pp.642-652, 2006.
DOI : 10.1007/s10439-005-9076-2

K. Schmidt and S. Tordeux, Asymptotic modelling of conductive thin sheets, Zeitschrift fr Angewandte Mathematik und Physik (ZAMP), pp.603-626, 2010.
DOI : 10.1007/s00033-009-0043-x

URL : https://hal.archives-ouvertes.fr/inria-00527608

J. L. Sebastián, S. Muñoz, M. Sancho, and J. M. Miranda, Analysis of the influence of the cell geometry, orientation and cell proximity effects on the electric field distribution from direct RF exposure, Physics in Medicine and Biology, vol.46, issue.1, pp.213-225, 2001.
DOI : 10.1088/0031-9155/46/1/315

G. Ser?a, Application of electroporation in electrochemotherapy of tumors In Electroporation based Technologies and Treatment: proceedings of the international scientific workshop and postgraduate course, pp.42-45, 2005.

J. Teissié, M. Golzio, and M. P. Rols, Mechanisms of cell membrane electropermeabilization: A minireview of our present (lack of ?) knowledge, Biochimica et Biophysica Acta (BBA) - General Subjects, vol.1724, issue.3, pp.270-280, 2005.
DOI : 10.1016/j.bbagen.2005.05.006

M. S. Vogelius and H. Nguyen, A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity

I. Centre-de-recherche, ?. Grenoble, and . Rhône-alpes, Europe -38334 Montbonnot Saint-Ismier Centre de recherche INRIA Lille ? Nord Europe : Parc Scientifique de la Haute Borne -40, avenue Halley -59650 Villeneuve d'Ascq Centre de recherche INRIA Nancy ? Grand Est : LORIA, Technopôle de Nancy-Brabois -Campus scientifique 615, rue du Jardin Botanique -BP 101 -54602 Villers-lès-Nancy Cedex Centre de recherche INRIA Paris ? Rocquencourt : Domaine de Voluceau -Rocquencourt -BP 105 -78153 Le Chesnay Cedex Centre de recherche INRIA Rennes ? Bretagne Atlantique : IRISA, Campus universitaire de Beaulieu -35042 Rennes Cedex Centre de recherche INRIA Saclay ? Île-de-France, des Vignes : 4, rue Jacques Monod -91893 Orsay Cedex Centre de recherche INRIA, pp.105-78153, 2004.