A Voronoi Interface approach to cell aggregate electropermeabilization

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• 作者：Arthur Guittet^a ; ^{arthur.guittet@gmail.com} ; Clair Poignard^c ; ^d ; ^e ; Frederic Gibou^a ; ^b
• 关键词：Sharp methods ; Finite volume method ; Cell modeling ; Level-set method ; Quad/Oc-tree ; Voronoi
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：332
• 期：Complete
• 页码：143-159
• 全文大小：1941 K
• 卷排序：332

文摘

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.