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MATHEMATICAL MODEL AND ITS FAST NUMERICAL METHOD FOR THE TUMOR GROWTH

Title
MATHEMATICAL MODEL AND ITS FAST NUMERICAL METHOD FOR THE TUMOR GROWTH
Authors
Lee, Hyun GeunKim, YangjinKim, Junseok
Ewha Authors
이현근
SCOPUS Author ID
이현근scopus
Issue Date
2015
Journal Title
MATHEMATICAL BIOSCIENCES AND ENGINEERING
ISSN
1547-1063JCR Link1551-0018JCR Link
Citation
vol. 12, no. 6, pp. 1173 - 1187
Keywords
Tumor growthconservative Allen-Cahn equationoperator splitting methodmultigrid method
Publisher
AMER INST MATHEMATICAL SCIENCES
Indexed
SCIE; SCOPUS WOS scopus
Abstract
In this paper, we reformulate the diffuse interface model of the tumor growth (S.M. Wise et al., Three-dimensional multispecies nonlinear tumor growth-I: model and numerical method, J. Theor. Biol. 253 (2008) 524-543). In the new proposed model, we use the conservative second-order Allen-Cahn equation with a space-time dependent Lagrange multiplier instead of using the fourth-order Cahn-Hilliard equation in the original model. To numerically solve the new model, we apply a recently developed hybrid numerical method. We perform various numerical experiments. The computational results demonstrate that the new model is not only fast but also has a good feature such as distributing excess mass from the inside of tumor to its boundary regions.
DOI
10.3934/mbe.2015.12.1173
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
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