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

共 50 条

[1] NUMERICAL SIMULATION OF A KINETIC MODEL FOR CHEMOTAXIS
Vauchelet, Nicolas
KINETIC AND RELATED MODELS, 2010, 3 (03) : 501 - 528
[2] Kinetic models of chemotaxis towards the diffusive limit: asymptotic analysis
Bellouquid, Abdelghani
Chouhad, Nadia
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (11) : 3136 - 3151
[3] Kinetic and related macroscopic models for chemotaxis on networks
Borsche, R.
Kall, J.
Klar, A.
Pham, T. N. H.
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2016, 26 (06): : 1219 - 1242
[4] Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method
Xiao, Xufeng
Feng, Xinlong
He, Yinnian
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (01) : 20 - 34
[5] Anisotropic Network Patterns in Kinetic and Diffusive Chemotaxis Models
Thiessen, Ryan
Hillen, Thomas
MATHEMATICS, 2021, 9 (13)
[6] An asymptotic preserving scheme for kinetic models for chemotaxis phenomena
Bellouquid, Abdelghani
Tagoudjeu, Jacques
COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 2018, 9 (02): : 61 - 75
[7] Using Simulations and Kinetic Network Models to Reveal the Dynamics and Functions of Riboswitches
Lin, Jong-Chin
Yoon, Jeseong
Hyeon, Changbong
Thirumalai, D.
COMPUTATIONAL METHODS FOR UNDERSTANDING RIBOSWITCHES, 2015, 553 : 235 - 258
[8] Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms
Dolak, Y
Schmeiser, C
JOURNAL OF MATHEMATICAL BIOLOGY, 2005, 51 (06) : 595 - 615
[9] Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms
Y. Dolak
C. Schmeiser
Journal of Mathematical Biology, 2005, 51 : 595 - 615
[10] AN ASYMPTOTIC PRESERVING SCHEME FOR KINETIC CHEMOTAXIS MODELS IN TWO SPACE DIMENSIONS
Chertock, Alina
Kurganov, Alexander
Lukacova-Medvidova, Maria
Ozcan, Seyma Nur
KINETIC AND RELATED MODELS, 2019, 12 (01) : 195 - 216

← 1 2 3 4 5 →