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hal-00712683, version 3

''Classical'' Electropermeabilization Modeling at the Cell Scale

Otared Kavian 1, Michael Leguèbe 23, Clair Poignard (Author to contact preferably) a23, Lisl Weynans 23

Journal of Mathematical Biology (2012)

Abstract: In this paper we derive two models (a static and a dynamical model) based on the description of the electric potential in a biological cell in order to model the cell electropermeabili-zation. Existence and uniqueness results for each model are provided, and accurate numerical method to compute the solution is presented. We then present numerical results that corroborate the experimental results, justifying the validity of our modeling. We emphasize that our new models involve very few parameters, compared with the most achieved model but they describe the same qualitative results. Moreover our numerical resultsare quantitavely close to the experimental data.

  • a –  INRIA
  • 1:  Laboratoire de Mathématiques de Versailles (LM-Versailles)
  • CNRS : UMR8100 – Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)
  • 2:  MC2 (INRIA Bordeaux - Sud-Ouest)
  • INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR
  • 3:  Institut de Mathématiques de Bordeaux (IMB)
  • CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
 
  • hal-00712683, version 3
  • oai:hal.inria.fr:hal-00712683
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  • Submitted on: Wednesday, 5 December 2012 16:11:28
  • Updated on: Wednesday, 19 December 2012 11:09:08