A mathematical model for capillary network formation in the absence of endothelial cell proliferation

被引：70

作者：

Anderson, ARA ^{[1
]}

Chaplain, MAJ ^{[1
]}

机构：

[1] Univ Bath, Sch Math Sci, Bath BA2 7AY, Avon, England

来源：

APPLIED MATHEMATICS LETTERS | 1998年 / 11卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

angiogenesis; endothelial cells; chemotaxis; haptotaxis;

D O I：

10.1016/S0893-9659(98)00041-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mathematical model for endothelial cell migration during tumour-induced angiogenesis is presented. A possible explanation, in terms of desensitisation of cell-surface receptors, is given for the experimentally observed fact that without cell proliferation tumour vascularisation is never achieved.

引用

页码：109 / 114

页数：6

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