| Abstract: |
| Tumours are highly complex entities coupling many chemical and physical reactions across multiple spatial and temporal scales. To obtain a tractable description of the main dynamical features, such as proliferation, apoptosis, necrosis and chemotaxis, we propose to use a class of diffuse interface models consisting of the Cahn-Hilliard equation. We discuss a collection of analytical results such as well-posedness and asymptotic limits, as well as some recent results concerning parameter identification with optimal control and Bayesian inversion, so that practitioners can match model predictions with experimental data. |
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