Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이현근 | - |
dc.date.accessioned | 2016-08-27T04:08:00Z | - |
dc.date.available | 2016-08-27T04:08:00Z | - |
dc.date.issued | 2015 | - |
dc.identifier.issn | 1547-1063 | - |
dc.identifier.issn | 1551-0018 | - |
dc.identifier.other | OAK-15514 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/217529 | - |
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.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.subject | Tumor growth | - |
dc.subject | conservative Allen-Cahn equation | - |
dc.subject | operator splitting method | - |
dc.subject | multigrid method | - |
dc.title | MATHEMATICAL MODEL AND ITS FAST NUMERICAL METHOD FOR THE TUMOR GROWTH | - |
dc.type | Article | - |
dc.relation.issue | 6 | - |
dc.relation.volume | 12 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 1173 | - |
dc.relation.lastpage | 1187 | - |
dc.relation.journaltitle | MATHEMATICAL BIOSCIENCES AND ENGINEERING | - |
dc.identifier.doi | 10.3934/mbe.2015.12.1173 | - |
dc.identifier.wosid | WOS:000360989000004 | - |
dc.identifier.scopusid | 2-s2.0-84939801995 | - |
dc.author.google | Lee, Hyun Geun | - |
dc.author.google | Kim, Yangjin | - |
dc.author.google | Kim, Junseok | - |
dc.contributor.scopusid | 이현근(24080864400) | - |
dc.date.modifydate | 20180501152518 | - |