A three-dimensional steady-state tumor system

Wenrui Hao; Jonathan D. Hauenstein; Bei Hu; Andrew J. Sommese

doi:10.1016/j.amc.2011.08.006

A three-dimensional steady-state tumor system

Wenrui Hao
, Jonathan D. Hauenstein
, Bei Hu
, Andrew J. Sommese

Mathematics

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	2661-2669
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	218
Issue number	6
DOIs	https://doi.org/10.1016/j.amc.2011.08.006
State	Published - Nov 15 2011

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2011.08.006

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title = "A three-dimensional steady-state tumor system",

abstract = "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.",

author = "Wenrui Hao and Hauenstein, \{Jonathan D.\} and Bei Hu and Sommese, \{Andrew J.\}",

year = "2011",

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language = "English (US)",

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T1 - A three-dimensional steady-state tumor system

AU - Hao, Wenrui

AU - Hauenstein, Jonathan D.

AU - Hu, Bei

AU - Sommese, Andrew J.

PY - 2011/11/15

Y1 - 2011/11/15

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/80053285193

UR - https://www.scopus.com/pages/publications/80053285193#tab=citedBy

U2 - 10.1016/j.amc.2011.08.006

DO - 10.1016/j.amc.2011.08.006

M3 - Article

AN - SCOPUS:80053285193

SN - 0096-3003

VL - 218

SP - 2661

EP - 2669

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 6

ER -

A three-dimensional steady-state tumor system

Abstract

All Science Journal Classification (ASJC) codes

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