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arXiv · 1902.02632

An Analysis of a Mathematical Model Describing Acid-mediated Tumor Invasion

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

We present a mathematical analysis of a reaction-diffusion model describing acid-mediated tumor invasion. The model describes the spatial distribution and temporal evolution of tumor cells, normal cells, and excess lactic acid concentration. The model assumes that tumor-induced alteration of microenvironmental pH provides a simple but complete mechanism for cancer invasion. We provide results on the existence and uniqueness of a solution considering Neumann and Dirichlet boundary conditions. We also provide numerical simulations to the solutions considering both boundary conditions.

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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 Acid-mediated Tumor Invasion. https://arxiv.org/abs/1902.02632

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