VOYER, Damien; CORRIDORE, Sergio; COLLIN, Annabelle; SCORRETTI, Riccardo; POIGNARD, Clair

doi:10.1109/TMAG.2019.2951942

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VOYER, Damien
EIGSI La Rochelle [EIGSI ]

CORRIDORE, Sergio
Modélisation Mathématique pour l'Oncologie [MONC]

COLLIN, Annabelle
Modélisation Mathématique pour l'Oncologie [MONC]

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IEEE Transactions on Magnetics. 2020-01-10

Institute of Electrical and Electronics Engineers

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Floating potentials appear in electrokinetic problems when isolated high conductive materials are included in a dielectric or weakly conductive ambient medium. The large contrast of conductivities generates numerical issues that make hard the computation of the electric potential. The paper proposes a rigorous numerical method to tackle such kind of problems. Interestingly, a correction to the case of perfect conductor is given in order to improve the accuracy of the computation. The method involves a cascade of two elementary problems set respectively in the ambient medium and in the high conductive inclusions. An example is proposed with a 4-electrode system designed to both induce electroporation in a biological tissue sample and measure the resulting impedance. The approach is extended to a nonlinear problem by taking advantage of the iterative scheme that is necessarily applied in this case.< Réduire

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Nonlinear problem

4-electrode system

Floating potential

Asymptotic method

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Numerical modeling of floating potentials in electrokinetic problems using an asymptotic method

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