  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.
