A Voronoi Interface approach to cell aggregate electropermeabilization

JOURNAL OF COMPUTATIONAL PHYSICS

卷:332

Article

Guittet, Arthur¹  Poignard, Clair^3,4,5  Gibou, Frederic^1,2 

[1] Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA

[2] Univ Calif Santa Barbara, Dept Comp Sci, Santa Barbara, CA 93106 USA

[3] INRIA, F-33400 Talence, France

[4] Univ Bordeaux, IMB, UMR 5251, F-33400 Talence, France

[5] CNRS, IMB, UMR 5251, F-33400 Talence, France

关键词: Sharp methods;    Finite volume method;    Cell modeling;    Level-set method;    Quad/Oc-tree;    Voronoi;   

DOI  :  10.1016/j.jcp.2016.11.048

来源: Elsevier

【 摘 要 】

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. Published by Elsevier Inc.

【 授权许可】

Free