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dc.contributor.authorDelitala, Marcello
dc.contributor.authorLorenzi, Tommaso
dc.date.accessioned2017-10-01T23:32:15Z
dc.date.available2017-10-01T23:32:15Z
dc.date.issued2017-02
dc.identifier.citationDelitala , M & Lorenzi , T 2017 , ' Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells ' , Mathematical Biosciences and Engineering , vol. 14 , no. 1 , pp. 79-93 . https://doi.org/10.3934/mbe.2017006en
dc.identifier.issn1547-1063
dc.identifier.otherPURE: 243584849
dc.identifier.otherPURE UUID: 41648c53-afdc-42c1-ad6c-6dd4bf0539fe
dc.identifier.otherScopus: 85002678580
dc.identifier.otherWOS: 000387005500007
dc.identifier.urihttp://hdl.handle.net/10023/11775
dc.description.abstractAccumulating evidence indicates that the interaction between epithelial and mesenchymal cells plays a pivotal role in cancer development and metastasis formation. Here we propose an integro-differential model for the co-culture dynamics of epithelial-like and mesenchymal-like cells. Our model takes into account the effects of chemotaxis, adhesive interactions between epithelial-like cells, proliferation and competition for nutrients. We present a sample of numerical results which display the emergence of spots, stripes and honeycomb patterns, depending on parameters and initial data. These simulations also suggest that epithelial-like and mesenchymal-like cells can segregate when there is little competition for nutrients. Furthermore, our computational results provide a possible explanation for how the concerted action between epithelial-cell adhesion and mesenchymal-cell spreading can precipitate the formation of ring-like structures, which resemble the fibrous capsules frequently observed in hepatic tumours.
dc.language.isoeng
dc.relation.ispartofMathematical Biosciences and Engineeringen
dc.rightsThis 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 / https://dx.doi.org/10.3934/mbe.2017006en
dc.subjectMathematical modellingen
dc.subjectEpithelial-mesenchymal interactionsen
dc.subjectPattern formationen
dc.subjectSegregation patternsen
dc.subjectRing patternsen
dc.subjectQA Mathematicsen
dc.subjectQH301 Biologyen
dc.subjectRC0254 Neoplasms. Tumors. Oncology (including Cancer)en
dc.subjectNDASen
dc.subject.lccQAen
dc.subject.lccQH301en
dc.subject.lccRC0254en
dc.titleEmergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cellsen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews.Applied Mathematicsen
dc.identifier.doihttps://doi.org/10.3934/mbe.2017006
dc.description.statusPeer revieweden
dc.date.embargoedUntil2017-10-01


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