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.
| Original language | English |
|---|---|
| Article number | 1929 |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 27 |
| Issue number | 10 |
| Early online date | 6 Jul 2017 |
| DOIs | |
| Publication status | Published - Sept 2017 |
Keywords
- Non-local model of cancer progression
- Existence
- Boundedness of solutions
- Cell heterogeneity
- TGF-beta
- Cell-cell and cell-matrix adhesion
Access to Document
- Bitsouni-2017-Mathematical-modelling-MMMAS-CC
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