Kavian, Otared; Leguèbe, Michael; Poignard, Clair; Weynans, Lisl “Classical” electropermeabilization modeling at the cell scale. (English) Zbl 1300.92023 J. Math. Biol. 68, No. 1-2, 235-265 (2014). Summary: 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 J. Neu and W. Krassowska [Phys. Rev. E 53, No. 3, 3471–3482 (1999; doi:10.1103/PhysRevE.59.3471)] and K. A. DeBruin and W. Krassowska [Biophys. J. Sep 77, 1225–1233 (1999; doi:10.1016/S0006-3495(99)76974-2)], 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 experiments. Cited in 1 ReviewCited in 19 Documents MSC: 92C37 Cell biology 92C05 Biophysics 35Q92 PDEs in connection with biology, chemistry and other natural sciences 35Q60 PDEs in connection with optics and electromagnetic theory 65N06 Finite difference methods for boundary value problems involving PDEs Keywords:cell modeling; cell electropermeabilization; electric potential; spatial discretization × Cite Format Result Cite Review PDF Full Text: DOI HAL References: [1] André FM, Gehl J et al (2008) Efficiency of high- and low-voltage pulse combinations for gene electrotransfert in mucle, liver tumor and skin. Human Gene Therapy 19 [2] Cisternino M, Weynans L (2012) A parallel second order cartesian method for elliptic interface problems. 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