Authors: Otared Kavian Michael Leguèbe Clair Poignard Lisl Weynans
Publish Date: 2012/12/13
Volume: 68, Issue: 1-2, Pages: 235-265
Abstract
The aim of this paper is to provide new models of cell electropermeabilization involving only a few parameters A static and a dynamical model which are based on the description of the electric potential in a biological cell are derived Existence and uniqueness results are provided for each differential system and an accurate numerical method to compute the solution is described We then present numerical simulations that corroborate the experimental observations providing the consistency of the modeling We emphasize that our new models involve very few parameters compared with the most achieved models of Neu and Krassowska Phys Rev E 5333471–3482 1999 and DeBruin and Krassowska Biophys J 771225–1233 1999 but they provide the same qualitative results Thus these models will facilitate drastically the forthcoming inverse problem solving which will consist in fitting them with the experimentsThe authors thank very warmly the biologists of the CNRS research team “UMR 8203 Vectorology and anticancerous therapeutics” at the Institut Gustave Roussy Particulary the discussions with Dr A Silve and Dr LM Mir were very helpful in the understanding of the cell electropermeabilization
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