title: Conducting and permeable states of cell membrane submitted to high voltage pulses: mathematical and numerical studies validated by the experiments.
abstract: The aim of this paper is to present a new model of in vitro cell electropermeabilization, which describes separately the conducting state and the permeable state of the membrane submitted to high voltage pulses. We first derive the model based on the experimental observations and we present the numerical methods to solve the non-linear partial differential equations. We then present numerical simulations that corroborate qualitatively the experimental data dealing with the uptake of propidium iodide (PI) after millipulses. This tends to justify the validity of our modeling. Forthcoming work will be to calibrate the parameters of the model for quantitative description of the uptake.
authors.affiliation: Inria Bordeaux, CNRS UMR 5251 & Université de Bordeaux, France. Electronic address: michael.leguebe@inria.fr.
authors.forename: M
authors.initials: M
authors.lastname: Leguèbe
authors.affiliation: Institute for Pulsed Power and Microwave Technology, Karlsruhe Institute of Technology, Germany.
authors.forename: A
authors.initials: A
authors.lastname: Silve
authors.affiliation: CNRS UMR 8203 & Institut Gustave Roussy, Laboratoire de Vectorologie et Thérapeutiques Anticancéreuses, France.
authors.forename: L M
authors.initials: LM
authors.lastname: Mir
authors.affiliation: Inria Bordeaux, CNRS UMR 5251 & Université de Bordeaux, France. Electronic address: clair.poignard@inria.fr.
authors.forename: C
authors.initials: C
authors.lastname: Poignard
mesh_terms: D002462:Cell Membrane / Q000378:metabolism*; D003198:Computer Simulation; D004553:Electric Conductivity; D066298:In Vitro Techniques; D008954:Models, Biological; D010539:Permeability; D011419:Propidium / Q000493:pharmacokinetics
chemical_list: D011419:Propidium
keywords: Cell modeling; Finite differences on cartesian grid; Non-linear partial differential equations; Surface diffusion discretization