2014 Mathematical medicine and bio…

A mathematical model for the progression of dental caries.

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Mathematical medicine and biology : a journal of the IMA Vol. 31 (4) : 319-37 • Dec 2014

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 melting of the enamel. 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.

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