Discontinuous Galerkin methods for the chemotaxis and haptotaxis models

被引：50

作者：

Epshteyn, Yekaterina ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 224卷 / 01期

基金：

美国国家科学基金会;

关键词：

Keller-Segel chemotaxis model; Haptotaxis model; Convection-diffusion-reaction systems; Discontinuous Galerkin methods; NIPG; IIPG; SIPG methods; Cartesian meshes; CENTRAL-UPWIND SCHEMES; APPROXIMATION; MECHANISM; PATTERNS; FLOW;

D O I：

10.1016/j.cam.2008.04.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, first we formulate and compare three different discontinuous Interior Penalty Galerkin methods for the 2D Keller-Segel chemotaxis model. Keller-Segel chemotaxis model is the important starting step in the modeling of the real biological system. We show in the numerical tests that two of the proposed methods fail to give accurate, oscillation-free solutions. Next, we consider the application of the successful method for the Keller-Segel model to the simulation of the more realistic, and closely related haptotaxis model of tumor invasion into healthy tissues. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：168 / 181

页数：14

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