GUITTET, Arthur; POIGNARD, Clair; GIBOU, Frederic

doi:10.1016/j.jcp.2016.11.048

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GUITTET, Arthur
University of California [Santa Barbara] [UC Santa Barbara]
Department of Mechanical Engineering [Santa Barbara]

POIGNARD, Clair
Institut de Mathématiques de Bordeaux [IMB]
Modélisation Mathématique pour l'Oncologie [MONC]

GIBOU, Frederic
University of California [Santa Barbara] [UC Santa Barbara]
Department of Mechanical Engineering [Santa Barbara]

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Ce document a été publié dans

Journal of Computational Physics. 2017-03, vol. 332, p. 143 - 159

Elsevier

Résumé en anglais

We present a Voronoi Interface approach to the study of cell electropermeabilization. We consider the nonlinear electropermeabilization model of Poignard et al. [20], which takes into account the jump in the voltage potential across cells' membrane. The jump condition is imposed in a sharp manner, using the Voronoi Interface Method of Guittet et al. [14], while adaptive Quad-/Oc-tree grids are employed to automatically refine near the cells boundary for increased accuracy. Numerical results are provided to illustrate the accuracy of the methods. We also carry out simulations in three spatial dimensions to investigate the influence of shadowing and of the cells shape on the degree of permeabilization.< Réduire

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Quad/Oc-tree

Voronoi

Level-Set method

92C37

2000 MSC: 65M08

65M12

Sharp methods

Finite Volume method

Cell modelling

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A Voronoi Interface approach to cell aggregate electropermeabilization

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