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Optimal Control of Treatment Time in a Diffuse Interface Model of Tumor Growth

Garcke, Harald ; Lam, Kei Fong ; Rocca, Elisabetta



Abstract

We consider an optimal control problem for a diffuse interface model of tumor growth. The state equations couples a Cahn-Hilliard equation and a reaction-diffusion equation, which models the growth of a tumor in the presence of a nutrient and surrounded by host tissue. The introduction of cytotoxic drugs into the system serves to eliminate the tumor cells and in this setting the concentration of ...

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