Properties of solutions for a chemotaxis system

被引：6

作者：

Allegretto, W ^{[1
]}

Xie, H ^{[1
]}

Yang, SX ^{[1
]}

机构：

[1] XIAMEN UNIV,DEPT MATH,XIAMEN,PEOPLES R CHINA

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1997年 / 35卷 / 08期

关键词：

chemotaxis; endothelial; angiogenesis; parabolic system;

D O I：

10.1007/s002850050084

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We investigate mathematically the system of equations proposed by Chaplain and Stuart [2], to describe the chemotactic response of endothelial cells under the angiogenesis stimulus. In particular, we characterize the steady state endothelial cell density function, and give conditions on the chemotactic parameter Ic and cell proliferation parameter b that ensure that migration/ proliferation either does or does not occur in steady state. The time dependent problem is also treated.

引用

页码：949 / 966

页数：18

共 13 条

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