Global Mild Solution for a Chemotaxis-Haptotaxis Model of Tumor Invasion

被引：0

作者：

Wang, Mingjun ^{[1
]}

Li, Minghao ^{[1
]}

机构：

[1] Donghua Univ, Sch Informat Sci & Technol, Shanghai 200051, Peoples R China

来源：

ISCSCT 2008: INTERNATIONAL SYMPOSIUM ON COMPUTER SCIENCE AND COMPUTATIONAL TECHNOLOGY, VOL 2, PROCEEDINGS | 2008年

关键词：

Tumor invasion model; Haptotaxis; Chemotaxis; Global mild solution;

D O I：

10.1109/ISCSCT.2008.276

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper deals with a mathematical model of tumor invasion developed by Chaplain and Lolas. Besides random motion, the tumor cells are directed not only by haptotaxis (cellular locomotion directed in response to a concentration gradient of adhesive molecules along extracellular matrix) but also by chemotaxis (cellular locomotion directed in response to a concentration gradient of the diffusible proteolytic enzyme). The existence of unique global mild solution is proved using the theory of fractional powers of analytic semigroup generators.

引用

页码：613 / 616

页数：4