A three-dimensional steady-state tumor system

A three-dimensional steady-state tumor system
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DOI：
10.1016/j.amc.2011.08.006
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发表时间：
2011-11
期刊：
Appl. Math. Comput.
影响因子：
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通讯作者：
Wenrui Hao;J. Hauenstein;Bei Hu;A. Sommese
Wenrui Hao;J. Hauenstein;Bei Hu;A. Sommese
中科院分区：
其他
文献类型：
--
作者：
Wenrui Hao;J. Hauenstein;Bei Hu;A. Sommese

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肿瘤的生长可以模型化为一个包含偏微分方程的自由边界问题。我们考虑了一个这样的模型，并计算了该模型的稳态解。这些解包括自由边界为球体的径向对称解和非径向对称解。用数值方法确定了这些解的线性和非线性稳定性。
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.