Katherine E. O. Todd-Brown

Harvey Mudd College Mathematics 2005

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Thesis Proposal: Mathematical Modeling of Local Tumor Morphology with Chemotherapy and Immune Treatments
Thesis Advisor: Prof. Lisette de Pillis
Second Reader: Prof. Weiqing Gu
E-Mail: ktoddbro (at) math (dot) hmc (dot) edu

Mathematical Modeling of Local Tumor Morphology with Chemotherapy and Immune Treatments

In this project we will take a previously proposed cancer model which uses PDE's to simulate chemical diffusion combined with a cellular automata to model the biological cell behavior. To this we have added a chemo treatment and immune system. In this thesis we will mathematically analysis this system using Markov chains and try to find an optimal chemo/immune treatment combination.

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