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- W2630701056 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-[Formula: see text]) 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-[Formula: see text] concentration. We prove the global existence of weak solutions to the model. We then use our model to explore numerically the role of TGF-[Formula: see text] in cell aggregation and movement." @default.
- W2630701056 created "2017-06-30" @default.
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- W2630701056 date "2017-08-04" @default.
- W2630701056 modified "2023-10-13" @default.
- W2630701056 title "Mathematical modelling of cancer invasion: The multiple roles of TGF-β pathway on tumour proliferation and cell adhesion" @default.
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- W2630701056 doi "https://doi.org/10.1142/s021820251750035x" @default.
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