An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy
Provides theoretical analysis for a mathematical model of spatially restricted chemotherapy, but the results are purely mathematical without empirical validation or clinical application.
The paper analyzes a mixed ODE-PDE model for tumor growth under spatially restricted chemotherapy, proving existence and uniqueness of solutions and presenting numerical simulations.
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.