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Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells
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dc.contributor.author | Delitala, Marcello | |
dc.contributor.author | Lorenzi, Tommaso | |
dc.date.accessioned | 2017-10-01T23:32:15Z | |
dc.date.available | 2017-10-01T23:32:15Z | |
dc.date.issued | 2017-02 | |
dc.identifier | 243584849 | |
dc.identifier | 41648c53-afdc-42c1-ad6c-6dd4bf0539fe | |
dc.identifier | 85002678580 | |
dc.identifier | 000387005500007 | |
dc.identifier.citation | Delitala , 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.2017006 | en |
dc.identifier.issn | 1547-1063 | |
dc.identifier.uri | https://hdl.handle.net/10023/11775 | |
dc.description.abstract | Accumulating 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.format.extent | 865200 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematical Biosciences and Engineering | en |
dc.subject | Mathematical modelling | en |
dc.subject | Epithelial-mesenchymal interactions | en |
dc.subject | Pattern formation | en |
dc.subject | Segregation patterns | en |
dc.subject | Ring patterns | en |
dc.subject | QA Mathematics | en |
dc.subject | QH301 Biology | en |
dc.subject | RC0254 Neoplasms. Tumors. Oncology (including Cancer) | en |
dc.subject | NDAS | en |
dc.subject | SDG 3 - Good Health and Well-being | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QH301 | en |
dc.subject.lcc | RC0254 | en |
dc.title | Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | 10.3934/mbe.2017006 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2017-10-01 |
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