Geodesic
Optimal placement of electrodes in an electroporation process
Nicolae Cîndea1 ; Benoît Fabrèges2 ; Frédéric de Gournay3 ; Clair Poignard4
1Institut Elie Cartan, Nancy Université / CNRS / INRIA, BP 70239, 54506 Vandoeuvre-lès-Nancy, France
2Université Paris Sud XI, Orsay, France
3LMV, Université Versailles-Saint Quentin, CNRS, Versailles, France
4EPI MC2, INRIA Bordeaux-Sud Ouest & Institut de Mathématiques de Bordeaux, Talence, France
ESAIM. Proceedings, Tome 30 (2010), pp. 34-43
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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.
DOI : 10.1051/proc/2010004

Nicolae Cîndea  1   ; Benoît Fabrèges  2   ; Frédéric de Gournay  3   ; Clair Poignard  4

1 Institut Elie Cartan, Nancy Université / CNRS / INRIA, BP 70239, 54506 Vandoeuvre-lès-Nancy, France
2 Université Paris Sud XI, Orsay, France
3 LMV, Université Versailles-Saint Quentin, CNRS, Versailles, France
4 EPI MC2, INRIA Bordeaux-Sud Ouest & Institut de Mathématiques de Bordeaux, Talence, France 
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     author = {Nicolae C{\^\i}ndea and Beno{\^\i}t Fabr\`eges and Fr\'ed\'eric de Gournay and Clair Poignard},
     title = {Optimal placement of electrodes in an electroporation process},
     journal = {ESAIM. Proceedings},
     pages = {34--43},
     year = {2010},
     volume = {30},
     doi = {10.1051/proc/2010004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2010004/}
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Nicolae Cîndea; Benoît Fabrèges; Frédéric de Gournay; Clair Poignard. Optimal placement of electrodes in an electroporation process. ESAIM. Proceedings, Tome 30 (2010), pp. 34-43. doi: 10.1051/proc/2010004

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