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arXiv · 1902.01502

An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy

Anderson L. A. de Araujo·Artur C. Fassoni·Luís F. Salvino
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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.

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Anderson L. A. de Araujo, Artur C. Fassoni, Luís F. Salvino. 2019-02-05. An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy. https://arxiv.org/abs/1902.01502

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