• Senior Thesis
• Department of Mathematics
• Harvey Mudd College

Katherine E. O. Todd-Brown

Harvey Mudd College Mathematics 2005

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.