An Analysis of a Mathematical Model Describing Acid-mediated Tumor Invasion
Analysis of PDEs
2019-02-08 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1902.02632,
title = {An Analysis of a Mathematical Model Describing Acid-mediated Tumor Invasion},
author = {Anderson L. A. de Araujo and Artur C. Fassoni and Luís F. Salvino},
journal= {arXiv preprint arXiv:1902.02632},
year = {2019}
}
Comments
25 pages. arXiv admin note: substantial text overlap with arXiv:1902.01502