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Viscoelastic Cahn–Hilliard models for tumor growth

Garcke, Harald ; Kovács, Balázs ; Trautwein, Dennis


We introduce a new phase field model for tumor growth where viscoelastic effects are taken into account. The model is derived from basic thermodynamical principles and consists of a convected Cahn-Hilliard equation with source terms for the tumor cells and a convected reaction-diffusion equation with boundary supply for the nutrient. Chemotactic terms, which are essential for the invasive ...


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