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An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy (1902.01502v1)
Published 5 Feb 2019 in math.AP and math.NA
Abstract: We present a mathematical analysis of a mixed ODE-PDE model describing the spatial distribution and temporal evolution of tumor and normal cells within a tissue subject to the effects of a chemotherapeutic drug. The model assumes that the influx of chemotherapy is restricted to a limited region of the tissue, mimicking a blood vessel passing transversely. We provide results on the existence and uniqueness of the model solution and numerical simulations illustrating different model behaviors.