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dc.contributor.authorDomschke, Pia
dc.contributor.authorTrucu, Dumitru
dc.contributor.authorGerisch, Alf
dc.contributor.authorChaplain, Mark A. J.
dc.identifier.citationDomschke , P , Trucu , D , Gerisch , A & Chaplain , M A J 2014 , ' Mathematical modelling of cancer invasion : implications of cell adhesion variability for tumour infiltrative growth patterns ' , Journal of Theoretical Biology , vol. 361 , pp. 41-60 .
dc.identifier.otherPURE: 206433689
dc.identifier.otherPURE UUID: 6ace7620-1e7a-4c50-9a29-a9423c6e3456
dc.identifier.otherRIS: urn:A4469B108580B2B878AB5390FBC68917
dc.identifier.otherScopus: 84905816523
dc.identifier.otherORCID: /0000-0001-5727-2160/work/55378881
dc.description.abstractCancer invasion, recognised as one of the hallmarks of cancer, is a complex, multiscale phenomenon involving many inter-related genetic, biochemical, cellular and tissue processes at different spatial and temporal scales. Central to invasion is the ability of cancer cells to alter and degrade an extracellular matrix. Combined with abnormal excessive proliferation and migration which is enabled and enhanced by altered cell-cell and cell-matrix adhesion, the cancerous mass can invade the neighbouring tissue. Along with tumour-induced angiogenesis, invasion is a key component of metastatic spread, ultimately leading to the formation of secondary tumours in other parts of the host body. In this paper we explore the spatio-temporal dynamics of a model of cancer invasion, where cell-cell and cell-matrix adhesion is accounted for through non-local interaction terms in a system of partial integro-differential equations. The change of adhesion properties during cancer growth and development is investigated here through time-dependent adhesion characteristics within the cell population as well as those between the cells and the components of the extracellular matrix. Our computational simulation results demonstrate a range of heterogeneous dynamics which are qualitatively similar to the invasive growth patterns observed in a number of different types of cancer, such as tumour infiltrative growth patterns (INF).
dc.relation.ispartofJournal of Theoretical Biologyen
dc.rights© 2014, Elsevier Ltd. All rights reserved. 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
dc.subjectSolid tumour spreaden
dc.subjectNon-local modelen
dc.subjectRC0254 Neoplasms. Tumors. Oncology (including Cancer)en
dc.subjectQA Mathematicsen
dc.subjectQH301 Biologyen
dc.titleMathematical modelling of cancer invasion : implications of cell adhesion variability for tumour infiltrative growth patternsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews.Applied Mathematicsen
dc.description.statusPeer revieweden

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