A mathematical model for the progression of dental caries

A model for the progression of dental caries is derived. The analysis starts at the microscopic reaction and diffusion process. The local equations are averaged to derive a set of macroscopic equations. The global system includes features such as anisotropic diffusion and local changes in the geometry due to the enamel melting. The equations are then solved numerically. The simulations highlight the effect of anisotropy. In addition we draw conclusions on the progression rate of caries, and discuss them in light of a number of experiments.