Application of diffusion-reaction equations to model carious lesion progress

  • Lewandowska K
  • Kosztołowicz T
  • 4

    Readers

    Mendeley users who have this article in their library.
  • 3

    Citations

    Citations of this article.

Abstract

Nonlinear equations that describe the diffusion-reaction process with one static and one mobile substance are used to model a carious lesion process. The system under consideration consists of two initially separated substances A (an acid causing caries) and C (a static enamel mineral) which react chemically according to the formula A+C→Combining long solidus overlay(inert). The so-called surface layer, which is formed in this process and in which chemical reactions can be neglected, is also included in this model. Changes in the substance concentrations are calculated approximately using the perturbation method. We show that the experimental data on the enamel mineral concentrations are well described by the analytical solutions of the diffusion-reaction equations. © 2011 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Caries
  • Diffusionreaction systems
  • Perturbation method
  • Theoretical models

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Katarzyna D. Lewandowska

  • Tadeusz Kosztołowicz

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free