Solutions of a Linearized Mathematical Model for Capillary Formation in Tumor Angiogenesis: An Initial Data Perturbation Approximation

被引:1
|
作者
Pamuk, Serdal [1 ]
机构
[1] Kocaeli Univ, Dept Math, TR-41380 Kocaeli, Izmit, Turkey
关键词
21;
D O I
10.1155/2013/789402
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We present a mathematical model for capillary formation in tumor angiogenesis and solve it by linearizing it using an initial data perturbation method. This method is highly effective to obtain solutions of nonlinear coupled differential equations. We also provide a specific example resulting, that even a few terms of the obtained series solutions are enough to have an idea for the endothelial cell movement in a capillary. MATLAB-generated figures are provided, and the stability criteria are determined for the steady-state solution of the cell equation.
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页数:7
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