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dc.contributor.authorSuzuki, Takashi
dc.contributor.authorMinerva, Dhisa
dc.contributor.authorNishiyama, Koichi
dc.contributor.authorKoshikawa, Naohiko
dc.contributor.authorChaplain, Mark Andrew Joseph
dc.identifier.citationSuzuki , T , Minerva , D , Nishiyama , K , Koshikawa , N & Chaplain , M A J 2018 , ' Study on the tumor-induced angiogenesis using mathematical models ' , Cancer Science , vol. 109 , no. 1 , pp. 15-23 .
dc.identifier.otherPURE: 251699880
dc.identifier.otherPURE UUID: fd07b344-8afe-4b6e-9bbd-6ecff64e2e40
dc.identifier.otherBibtex: urn:7cbf5647dabc39c88c5ae50249e74787
dc.identifier.otherScopus: 85037343650
dc.identifier.otherORCID: /0000-0001-5727-2160/work/55378866
dc.identifier.otherWOS: 000419892200002
dc.descriptionThis work was supported by JSPS KAKENHI 16H06576 and JSPS Core-to-Core Project International Research Network.en
dc.description.abstractWe studied angiogenesis using mathematical models describing the dynamics of tip cells. We reviewed the basic ideas of angiogenesis models and its numerical simulation technique to produce realistic computer graphics images of sprouting angiogenesis. We examined the classical model of Anderson-Chaplain using fundamental concepts of mass transport and chemical reaction with ECM degradation included. We then constructed two types of numerical schemes, model-faithful and model-driven ones, where new techniques of numerical simulation are introduced, such as transient probability, particle velocity, and Boolean variables.
dc.relation.ispartofCancer Scienceen
dc.rights© 2017 The Authors. Cancer Science published by John Wiley & Sons Australia, Ltd on behalf of Japanese Cancer Association. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.en
dc.subjectExtracellular matrix degradationen
dc.subjectHybrid simulationen
dc.subjectMathematical modelen
dc.subjectTumor microenvironmenten
dc.subjectRC0254 Neoplasms. Tumors. Oncology (including Cancer)en
dc.subjectQA Mathematicsen
dc.titleStudy on the tumor-induced angiogenesis using mathematical modelsen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews.Applied Mathematicsen
dc.description.statusPeer revieweden

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