MATHEMATICAL MODEL AND ITS FAST NUMERICAL METHOD FOR THE TUMOR GROWTH
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Hyun Geun | - |
dc.contributor.author | Kim, Yangjin | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2021-09-04T09:58:33Z | - |
dc.date.available | 2021-09-04T09:58:33Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2015-12 | - |
dc.identifier.issn | 1547-1063 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/91693 | - |
dc.description.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. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.subject | CAHN-HILLIARD EQUATION | - |
dc.subject | MEAN-CURVATURE FLOW | - |
dc.subject | CELLULAR-AUTOMATON | - |
dc.subject | NONLINEAR SIMULATION | - |
dc.subject | MULTISCALE MODEL | - |
dc.subject | SOLID TUMORS | - |
dc.subject | CANCER | - |
dc.subject | VOLUME | - |
dc.subject | INVASION | - |
dc.subject | MOTION | - |
dc.title | MATHEMATICAL MODEL AND ITS FAST NUMERICAL METHOD FOR THE TUMOR GROWTH | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.3934/mbe.2015.12.1173 | - |
dc.identifier.scopusid | 2-s2.0-84939801995 | - |
dc.identifier.wosid | 000360989000004 | - |
dc.identifier.bibliographicCitation | MATHEMATICAL BIOSCIENCES AND ENGINEERING, v.12, no.6, pp.1173 - 1187 | - |
dc.relation.isPartOf | MATHEMATICAL BIOSCIENCES AND ENGINEERING | - |
dc.citation.title | MATHEMATICAL BIOSCIENCES AND ENGINEERING | - |
dc.citation.volume | 12 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 1173 | - |
dc.citation.endPage | 1187 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematical & Computational Biology | - |
dc.relation.journalWebOfScienceCategory | Mathematical & Computational Biology | - |
dc.subject.keywordPlus | CAHN-HILLIARD EQUATION | - |
dc.subject.keywordPlus | MEAN-CURVATURE FLOW | - |
dc.subject.keywordPlus | CELLULAR-AUTOMATON | - |
dc.subject.keywordPlus | NONLINEAR SIMULATION | - |
dc.subject.keywordPlus | MULTISCALE MODEL | - |
dc.subject.keywordPlus | SOLID TUMORS | - |
dc.subject.keywordPlus | CANCER | - |
dc.subject.keywordPlus | VOLUME | - |
dc.subject.keywordPlus | INVASION | - |
dc.subject.keywordPlus | MOTION | - |
dc.subject.keywordAuthor | operator splitting method | - |
dc.subject.keywordAuthor | multigrid method | - |
dc.subject.keywordAuthor | Tumor growth | - |
dc.subject.keywordAuthor | conservative Allen-Cahn equation | - |
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