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dc.contributor.authorLorenzi, Tommaso
dc.contributor.authorLorz, Alexander
dc.contributor.authorPerthame, Benoit
dc.date.accessioned2017-01-29T13:51:37Z
dc.date.available2017-01-29T13:51:37Z
dc.date.issued2016-11-18
dc.identifier.citationLorenzi T, Lorz A, Perthame B (2016) On interfaces between cell populations with different mobilities. Kinetic and Related Models 10: 299–311. Available: http://dx.doi.org/10.3934/krm.2017012.
dc.identifier.issn1937-5093
dc.identifier.doi10.3934/krm.2017012
dc.identifier.urihttp://hdl.handle.net/10754/622760
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.description.sponsorshipThis work was supported in part by the French National Research Agency through the
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.relation.urlhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=13322
dc.subjectCell populations
dc.subjecttissue growth
dc.subjectcancer invasion
dc.subjectinterfaces
dc.subjecttravelling waves
dc.subjectPattern formation
dc.titleOn interfaces between cell populations with different mobilities
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalKinetic and Related Models
dc.contributor.institutionSchool of Mathematics and Statistics, University of St Andrews, North Haugh, St Andrews, Fife, KY16 9SS, United Kingdom
dc.contributor.institutionSorbonne Universités, UPMC Univ Paris 06, CNRS, INRIA, UMR 7598, Laboratoire Jacques-Louis Lions, Équipe MAMBA, 4, place Jussieu 75005, Paris, France
kaust.personLorz, Alexander
dc.date.published-online2016-11-18
dc.date.published-print2016-11


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