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We present a mathematical analysis of a reaction-diffusion model describingacid-mediated tumor invasion. The model describes the spatial distribution andtemporal evolution of tumor cells, normal cells, and excess lactic acidconcentration. The model assumes that tumor-induced alteration ofmicroenvironmental pH provides a simple but complete mechanism for cancerinvasion. We provide results on the existence and uniqueness of a solutionconsidering Neumann and Dirichlet boundary conditions. We also providenumerical simulations to the solutions considering both boundary conditions.

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