A Voronoi Interface approach to cell aggregate electropermeabilization
GUITTET, Arthur
University of California [Santa Barbara] [UC Santa Barbara]
Department of Mechanical Engineering [Santa Barbara]
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]
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]
University of California [Santa Barbara] [UC Santa Barbara]
Department of Mechanical Engineering [Santa Barbara]
GUITTET, Arthur
University of California [Santa Barbara] [UC Santa Barbara]
Department of Mechanical Engineering [Santa Barbara]
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]
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]
< Reduce
University of California [Santa Barbara] [UC Santa Barbara]
Department of Mechanical Engineering [Santa Barbara]
Language
en
Article de revue
This item was published in
Journal of Computational Physics. 2017-03, vol. 332, p. 143 - 159
Elsevier
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Quad/Oc-tree
Voronoi
Level-Set method
92C37
2000 MSC: 65M08
65M12
Sharp methods
Finite Volume method
Cell modelling
Origin
Hal imported