A three-dimensional steady-state tumor system

被引：30
|
作者：
Hao, Wenrui [1 ]
Hauenstein, Jonathan D. [2 ]
Hu, Bei [1 ]
Sommese, Andrew J. [1 ]
机构：
[1] Univ Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA
[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 06期
关键词：
Free boundary problems; Stationary solution; Stability; Bifurcation; Discretization; Condition number; Bertini; Tumor growth; FREE-BOUNDARY PROBLEM; STABILITY; MODEL; GROWTH; INSTABILITY; BIFURCATION;
D O I：
10.1016/j.amc.2011.08.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The growth of tumors can be modeled as a free boundary problem involving partial differential equations. We consider one such model and compute steady-state solutions for this model. These solutions include radially symmetric solutions where the free boundary is a sphere and nonradially symmetric solutions. Linear and nonlinear stability for these solutions are determined numerically. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：2661 / 2669
页数：9
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