Anderson L. A. de Araujo, Artur C. Fassoni, Luís F. Salvino
Published 2019-02-05Version 1
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.
Turing instabilities in a mathematical model for signaling networks
A mathematical model of systemic inhibition of angiogenesis in metastatic development
On a mathematical model of the rotating atmosphere of the Earth
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