Optimal placement of electrodes in an electroporation process

Nicolae Cîndea; Benoît Fabrèges; Frédéric de Gournay; Clair Poignard

ESAIM: Proceedings (2010)

  • Volume: 30, page 34-43
  • ISSN: 1270-900X

Abstract

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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.

How to cite

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Cîndea, Nicolae, et al. Bresch, D., et al, eds. "Optimal placement of electrodes in an electroporation process." ESAIM: Proceedings 30 (2010): 34-43. <http://eudml.org/doc/251211>.

@article{Cîndea2010,
abstract = {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.},
author = {Cîndea, Nicolae, Fabrèges, Benoît, de Gournay, Frédéric, Poignard, Clair},
editor = {Bresch, D., Calvez, V., Grenier, E., Vigneaux, P., Gerbeau, J-F.},
journal = {ESAIM: Proceedings},
keywords = {standard gradient algorithm; sensitivity analysis},
language = {eng},
month = {12},
pages = {34-43},
publisher = {EDP Sciences},
title = {Optimal placement of electrodes in an electroporation process},
url = {http://eudml.org/doc/251211},
volume = {30},
year = {2010},
}

TY - JOUR
AU - Cîndea, Nicolae
AU - Fabrèges, Benoît
AU - de Gournay, Frédéric
AU - Poignard, Clair
AU - Bresch, D.
AU - Calvez, V.
AU - Grenier, E.
AU - Vigneaux, P.
AU - Gerbeau, J-F.
TI - Optimal placement of electrodes in an electroporation process
JO - ESAIM: Proceedings
DA - 2010/12//
PB - EDP Sciences
VL - 30
SP - 34
EP - 43
AB - 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.
LA - eng
KW - standard gradient algorithm; sensitivity analysis
UR - http://eudml.org/doc/251211
ER -

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