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A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport

Garcke, Harald ; Lam, Kei Fong ; Sitka, Emanuel ; Styles, Vanessa


Using basic thermodynamic principles we derive a Cahn-Hilliard-Darcy model for tumour growth including nutrient diffusion, chemotaxis, active transport, adhesion, apoptosis and proliferation. In contrast to earlier works, the model is based on a volume-averaged velocity and in particular includes active transport mechanisms which ensure thermodynamic consistency. We perform a formally matched ...


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