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Mathematical modelling of cancer invasion : the multiple roles of TGF-β pathway on tumour proliferation and cell adhesion
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dc.contributor.author | Bitsouni, Vasiliki | |
dc.contributor.author | Chaplain, Mark Andrew Joseph | |
dc.contributor.author | Eftimie, Raluca | |
dc.date.accessioned | 2017-07-06T15:30:09Z | |
dc.date.available | 2017-07-06T15:30:09Z | |
dc.date.issued | 2017-09 | |
dc.identifier.citation | Bitsouni , V , Chaplain , M A J & Eftimie , R 2017 , ' Mathematical modelling of cancer invasion : the multiple roles of TGF- β pathway on tumour proliferation and cell adhesion ' , Mathematical Models and Methods in Applied Sciences , vol. 27 , no. 10 , 1929 . https://doi.org/10.1142/S021820251750035X | en |
dc.identifier.issn | 0218-2025 | |
dc.identifier.other | PURE: 249996431 | |
dc.identifier.other | PURE UUID: 0fa2a6ab-38cd-41fb-bab1-099a9ee7aaab | |
dc.identifier.other | Scopus: 85022072934 | |
dc.identifier.other | ORCID: /0000-0001-5727-2160/work/55378858 | |
dc.identifier.other | WOS: 000407180600004 | |
dc.identifier.uri | https://hdl.handle.net/10023/11162 | |
dc.description | VB acknowledges support from an Engineering and Physical Sciences Research Council (UK) grant number EP/L504932/1. RE was partially supported by an Engineering and Physical Sciences Research Council (UK) grant number EP/K033689/1. | en |
dc.description.abstract | In this paper, we develop a non-local mathematical model describing cancer cell invasion and movement as a result of integrin-controlled cell–cell adhesion and cell–matrix adhesion, and transforming growth factor-beta (TGF-β) effect on cell proliferation and adhesion, for two cancer cell populations with different levels of mutation. The model consists of partial integro-differential equations describing the dynamics of two cancer cell populations, coupled with ordinary differential equations describing the extracellular matrix (ECM) degradation and the production and decay of integrins, and with a parabolic PDE governing the evolution of TGF-β concentration. We prove the global existence of weak solutions to the model. We then use our model to explore numerically the role of TGF-β in cell aggregation and movement. | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematical Models and Methods in Applied Sciences | en |
dc.rights | Copyright the Authors 2017. This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. | en |
dc.subject | Non-local model of cancer progression | en |
dc.subject | Existence | en |
dc.subject | Boundedness of solutions | en |
dc.subject | Cell heterogeneity | en |
dc.subject | TGF-beta | en |
dc.subject | Cell-cell and cell-matrix adhesion | 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 | Mathematical modelling of cancer invasion : the multiple roles of TGF-β pathway on tumour proliferation and cell adhesion | en |
dc.type | Journal article | en |
dc.description.version | Publisher PDF | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | https://doi.org/10.1142/S021820251750035X | |
dc.description.status | Peer reviewed | en |
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