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dc.contributor.authorLorenzi, Tommaso
dc.contributor.authorLorz, Alexander
dc.contributor.authorPerthame, Benoit
dc.date.accessioned2017-11-02T00:31:56Z
dc.date.available2017-11-02T00:31:56Z
dc.date.issued2017-03
dc.identifier.citationLorenzi , T , Lorz , A & Perthame , B 2017 , ' On interfaces between cell populations with different mobilities ' , Kinetic and Related Models , vol. 10 , no. 1 , pp. 299-311 . https://doi.org/10.3934/krm.2017012en
dc.identifier.issn1937-5093
dc.identifier.otherPURE: 242505183
dc.identifier.otherPURE UUID: 7f4b4815-b8e8-4b32-ae53-384c1b890afa
dc.identifier.otherScopus: 85010207319
dc.identifier.otherWOS: 000390102700013
dc.identifier.urihttp://hdl.handle.net/10023/11980
dc.description.abstractPartial differential equations describing the dynamics of cell population densities from a fluid mechanical perspective can model the growth of avascular tumours. In this framework, we consider a system of equations that describes the interaction between a population of dividing cells and a population of non-dividing cells. The two cell populations are characterised by different mobilities. We present the results of numerical simulations displaying two-dimensional spherical waves with sharp interfaces between dividing and non-dividing cells. Furthermore, we numerically observe how different ratios between the mobilities change the morphology of the interfaces, and lead to the emergence of finger-like patterns of invasion above a threshold. Motivated by these simulations, we study the existence of one-dimensional travelling wave solutions.
dc.language.isoeng
dc.relation.ispartofKinetic and Related Modelsen
dc.rights© 2017, American Institute of Mathematical Sciences. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at www.aimsciences.org / http://dx.doi.org/10.3934/krm.2017012en
dc.subjectCell populationsen
dc.subjectTissue growthen
dc.subjectCancer invasionen
dc.subjectInterfacesen
dc.subjectTravelling wavesen
dc.subjectPattern formationen
dc.subjectQA Mathematicsen
dc.subjectQH301 Biologyen
dc.subjectRC0254 Neoplasms. Tumors. Oncology (including Cancer)en
dc.subjectT-NDASen
dc.subject.lccQAen
dc.subject.lccQH301en
dc.subject.lccRC0254en
dc.titleOn interfaces between cell populations with different mobilitiesen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.identifier.doihttps://doi.org/10.3934/krm.2017012
dc.description.statusPeer revieweden
dc.date.embargoedUntil2017-11-01


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