Local existence and uniqueness of solutions to one-dimensional tumor invasion model

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dc.contributor.authorIto, Akio
dc.contributor.authorGokieli, Maria
dc.contributor.authorNiezgódka, Marek
dc.contributor.authorSzymańska, Zuzanna
dc.contributor.organizationDepartment of Electronic Engineering and Computer Science School of Engineering, Kinki University 1, Hiroshimaen
dc.contributor.organizationInterdyscyplinarne Centrum Modelowania Matematycznego i Komputerowego, Uniwersytet Warszawskipl_Pl
dc.date.accessioned2011-06-10T09:39:55Z
dc.date.available2011-06-10T09:39:55Z
dc.date.issued2010
dc.description.abstractIn the present paper, we propose a modified tumor invasion model which was originally proposed in Chaplain and Anderson (2003) [1]. And we show the local existence and uniqueness of solutions to approximate systems of the 1D modified tumor invasion model. Especially, we introduce a new function and show that our system is equivalent to the nonlinear second-order PDE, which should be reformulated by the new function. Roughly speaking, our system can be rewritten into only one second-order PDE and this fact is quite essential to show the local existence of solutions to the approximate systems.en
dc.description.epersonMaria Gokieli
dc.identifier.citationA. Ito, M. Gokieli, M. Niezgódka and Z. SZymańska, Local existence and uniqueness of solutions to one-dimensional tumor invasion model, Nonlinear Analysis B - RWA, Volume 11, Issue 5, 2010, pp. 3555-3566
dc.identifier.issn1468-1218
dc.identifier.urihttps://open.icm.edu.pl/handle/123456789/69
dc.language.isoenen
dc.publisherElsevieren
dc.rightsDozwolony użytek*
dc.subjectTumor invasionen
dc.subjectHaptotaxis-degenerate systemen
dc.subjectNonlinear second-order PDEen
dc.titleLocal existence and uniqueness of solutions to one-dimensional tumor invasion modelen
dc.typearticleen
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