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dc.contributor.authorPeng, Lu
dc.contributor.authorTrucu, Dumitru
dc.contributor.authorLin, Ping
dc.contributor.authorThompson, Alastair
dc.contributor.authorChaplain, Mark A. J.
dc.date.accessioned2018-02-17T00:33:00Z
dc.date.available2018-02-17T00:33:00Z
dc.date.issued2017-03
dc.identifier.citationPeng , L , Trucu , D , Lin , P , Thompson , A & Chaplain , M A J 2017 , ' A multiscale mathematical model of tumour invasive growth ' , Bulletin of Mathematical Biology , vol. 79 , no. 3 , pp. 389-429 . https://doi.org/10.1007/s11538-016-0237-2en
dc.identifier.issn0092-8240
dc.identifier.otherPURE: 248040855
dc.identifier.otherPURE UUID: d35a600a-aec8-4a47-8346-6529d6a88053
dc.identifier.otherScopus: 85013101806
dc.identifier.otherORCID: /0000-0001-5727-2160/work/55379064
dc.identifier.otherWOS: 000395156200001
dc.identifier.urihttps://hdl.handle.net/10023/12739
dc.description.abstractKnown as one of the hallmarks of cancer (Hanahan and Weinberg in Cell 100:57–70, 2000) cancer cell invasion of human body tissue is a complicated spatio-temporal multiscale process which enables a localised solid tumour to transform into a systemic, metastatic and fatal disease. This process explores and takes advantage of the reciprocal relation that solid tumours establish with the extracellular matrix (ECM) components and other multiple distinct cell types from the surrounding microenvironment. Through the secretion of various proteolytic enzymes such as matrix metalloproteinases or the urokinase plasminogen activator (uPA), the cancer cell population alters the configuration of the surrounding ECM composition and overcomes the physical barriers to ultimately achieve local cancer spread into the surrounding tissue. The active interplay between the tissue-scale tumour dynamics and the molecular mechanics of the involved proteolytic enzymes at the cell scale underlines the biologically multiscale character of invasion and raises the challenge of modelling this process with an appropriate multiscale approach. In this paper, we present a new two-scale moving boundary model of cancer invasion that explores the tissue-scale tumour dynamics in conjunction with the molecular dynamics of the urokinase plasminogen activation system. Building on the multiscale moving boundary method proposed in Trucu et al. (Multiscale Model Simul 11(1):309–335, 2013), the modelling that we propose here allows us to study the changes in tissue-scale tumour morphology caused by the cell-scale uPA microdynamics occurring along the invasive edge of the tumour. 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 the tumour infiltrative growth patterns discussed in Ito et al. (J Gastroenterol 47:1279–1289, 2012).
dc.format.extent41
dc.language.isoeng
dc.relation.ispartofBulletin of Mathematical Biologyen
dc.rights© 2017 Society for Mathematical Biology. This work has been 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 link.springer.com / https://doi.org10.1007/s11538-016-0237-2en
dc.subjectCancer invasionen
dc.subjectMultiscale modellingen
dc.subjectuPA systemen
dc.subjectQA Mathematicsen
dc.subjectQH301 Biologyen
dc.subjectRC0254 Neoplasms. Tumors. Oncology (including Cancer)en
dc.subjectNDASen
dc.subjectSDG 3 - Good Health and Well-beingen
dc.subject.lccQAen
dc.subject.lccQH301en
dc.subject.lccRC0254en
dc.titleA multiscale mathematical model of tumour invasive growthen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.identifier.doihttps://doi.org/10.1007/s11538-016-0237-2
dc.description.statusPeer revieweden
dc.date.embargoedUntil2018-02-16


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