Modeling Metastatic Cancer Treatment with Neoantigen Peptide Vaccine

JessicaKingsley

University of Tennessee-Knoxville

"Modeling Metastatic Cancer Treatment with Neoantigen Peptide Vaccine"

We begin with a system of ordinary differential equations for an immunological treatment of a primary tumor by neoantigen peptide vaccines. This system is coupled with a partial differential equation of metastasis that tracks the number of metastases per time and size. Vaccine dose is taken as a control in the primary tumor ordinary differential equation to slow tumor growth and the spread of metastatic tumors. An optimal control problem is formulated to design vaccine treatment.
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