THE METHOD OF LINES FOR THE NUMERICAL SOLUTION OF A MATHEMATICAL MODEL IN THE INITIATION OF ANGIOGENESIS

被引：0

作者：

Pamuk, S. ^{[1
]}

Atac, I. ^{[1
]}

机构：

[1] Kocaeli Univ, Dept Math, Umuttepe Campus, TR-41380 Izmir, Kocaeli, Turkey

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2013年 / 3卷 / 02期

关键词：

Method of lines; stability; angiogenesis; capillary;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present the method of lines to obtain the numerical solution of a mathematical model for the roles of endothelial, pericyte and macrophage cells in the initiation of tumor angiogenesis. This method is an approach to the numerical solution of partial differential equations that involve a time variable t and a space variable x. We provide computer programs written in Matlab. Also, the stability analysis of the solutions is given, and the figures for endothelial, pericyte and macrophage cell movements in the capillary are presented for large times.

引用

页码：182 / 197

页数：16

共 12 条

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