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dc.contributor.authorPamuk, ‪Serdalen_US
dc.contributor.authorAtaç, İremen_US
dc.date.accessioned2020-09-30T13:13:55Z
dc.date.available2020-09-30T13:13:55Z
dc.date.issued2013-04-04
dc.identifier.citationPamuk, ‪S. & Ataç, İ. (2013). The method of lines for the numerical solution of a mathematical model in the initiation of angiogenesis. TWMS Journal of Applied and Engineering Mathematics, 3(2), 182-197.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2500
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/82-vol3no2/117
dc.description.abstractIn this paper we present the method of lines to obtain the numerical solution of a mathematical model for the roles of endothelial, pericyte and macrophage cells in the initiation of tumor angiogenesis. This method is an approach to the numerical solution of partial differential equations that involve a time variable t and a space variable x. We provide computer programs written in Matlab. Also, the stability analysis of the solutions is given, and the figures for endothelial, pericyte and macrophage cell movements in the capillary are presented for large times.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectMethod of linesen_US
dc.subjectStabilityen_US
dc.subjectAngiogenesisen_US
dc.subjectCapillaryen_US
dc.titleThe method of lines for the numerical solution of a mathematical model in the initiation of angiogenesisen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume3
dc.identifier.issue2
dc.identifier.startpage182
dc.identifier.endpage197
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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