CINDEA, Nicolae; FABRÈGES, Benoît; DE GOURNAY, Frédéric; POIGNARD, Clair

doi:10.1051/proc/2010004

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CINDEA, Nicolae
Institut Élie Cartan de Nancy [IECN]

FABRÈGES, Benoît
Département de Mathématiques-Université de Paris XI

DE GOURNAY, Frédéric
Laboratoire de Mathématiques de Versailles [LMV]

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ESAIM: Proceedings. 2010, vol. 30, p. 34-43

EDP Sciences

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Electroporation consists in increasing the permeability of a tissue by applying high voltage pulses. In this paper we discuss the question of optimal placement and optimal loading of electrodes such that electroporation holds only in a given open set of the domain. The electroporated set of the domain is where the norm of the electric field is above a given threshold value. We use a standard gradient algorithm to optimize the loading of the electrodes and shape sensitivity analysis and a gradient algorithm in order to move the electrodes. We also discuss the choice of objective functions to be chosen in the gradient algorithm.< Leer menos

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OPTIMAL PLACEMENT OF ELECTRODES IN AN ELECTROPORATION PROCESS

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