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A Parallel Voronoi-Based Approach for Mesoscale Simulations of Cell Aggregate Electropermeabilization

Pouria Mistani 1 Arthur Guittet 1 Clair Poignard 2 Frederic Gibou 1
2 MONC - Modélisation Mathématique pour l'Oncologie
IMB - Institut de Mathématiques de Bordeaux, Institut Bergonié [Bordeaux], Inria Bordeaux - Sud-Ouest
Abstract : We introduce a numerical framework that enables unprecedented direct numerical studies of the electropermeabilization effects of a cell aggregate at the meso-scale. Our simulations qualitatively replicate the shadowing effect observed in experiments and reproduce the time evolution of the impedance of the cell sample in agreement with the trends observed in experiments. This approach sets the scene for performing homogenization studies for understanding the effect of tissue environment on the efficiency of electropermeabilization. We employ a forest of Octree grids along with a Voronoi mesh in a parallel environment that exhibits excellent scalability. We exploit the electric interactions between the cells through a nonlinear phenomenological model that is generalized to account for the permeability of the cell membranes. We use the Voronoi Interface Method (VIM) to accurately capture the sharp jump in the electric potential on the cell boundaries. The case study simulation covers a volume of 1cube millimeter with more than 27000 well-resolved cells with a heterogeneous mix of morphologies that are randomly distributed throughout a spheroid region.
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https://hal.inria.fr/hal-01779598
Contributor : Clair Poignard <>
Submitted on : Thursday, April 26, 2018 - 4:54:17 PM
Last modification on : Thursday, June 11, 2020 - 3:20:30 AM

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Pouria Mistani, Arthur Guittet, Clair Poignard, Frederic Gibou. A Parallel Voronoi-Based Approach for Mesoscale Simulations of Cell Aggregate Electropermeabilization. Journal of Computational Physics, Elsevier, 2019, ⟨10.1016/j.jcp.2018.12.009⟩. ⟨hal-01779598⟩

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