NUMERICAL SIMULATIONS OF KINETIC MODELS FOR CHEMOTAXIS

被引：14

作者：

Filbet, Francis ^{[1
]}

Yang, Chang ^{[1
]}

机构：

[1] Univ Lyon 1, Inst Camille Jordan, CNRS UMR5208, UL1,INSAL,ECL, F-69622 Villeurbanne, France

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2014年 / 36卷 / 03期

基金：

欧洲研究理事会;

关键词：

bacterial chemotaxis; chemical signaling; kinetic theory; HYPERBOLIC MODELS; BACTERIA; AGGREGATION; ADAPTATION; SCHEME; CELLS;

D O I：

10.1137/130910208

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models for chemosensitive movements set in an arbitrary geometry. We investigate the influence of the geometry on the collective behavior of bacteria described by a kinetic equation interacting with nutrients and chemoattractants. Numerical simulations are performed to verify accuracy and stability of the scheme and its ability to exhibit aggregation of cells and wave propagations. Finally, some comparisons with experiments show the robustness and accuracy of such kinetic models.

引用

页码：B348 / B366

页数：19

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