| Abstract: |
| This presentation examines optimal control problems for two Cahn-Hilliard-Keller-Segel tumor growth models that capture key biological processes such as chemotaxis, angiogenesis, and nutrient consumption. These models combine a Cahn-Hilliard system for tumor and healthy cell segregation with a Keller-Segel equation for nutrient dynamics and chemotaxis. The goal is to minimize deviations in tumor cell distribution from target configurations while optimizing control costs. We establish the existence of optimal controls and derive first-order necessary optimality conditions under suitable assumptions. |
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