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Updated: Mar 7, 2026

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A Mathematical Model for Dental Caries: A Coupled Dissolution-Diffusion Process.

T M Gregory1, L C Chow1, C M Carey1

  • 1American Dental Association Health Foundation, Paffenbarger Research Center, National Institute of Standards and Technology, Gaithersburg, MD 20899.

Journal of Research of the National Institute of Standards and Technology
|February 11, 2017
PubMed
Summary
This summary is machine-generated.

A computer model simulating tooth demineralization shows that membrane permselectivity significantly impacts caries progression. Cation-selective membranes accelerate demineralization, while anion-selective membranes slow it down.

Keywords:
Ca fluxP fluxcomputer simulationcoupled dissolution-diffusiondental carieshydroxyapatitepermselective diffusion

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Area of Science:

  • Biomineralization
  • Dental Caries Research
  • Computational Modeling

Background:

  • Dental caries involves demineralization of tooth mineral.
  • Understanding ion diffusion and dissolution is crucial for caries management.
  • Previous models did not fully account for membrane permselectivity effects.

Purpose of the Study:

  • To investigate the role of diffusion barrier permselectivity in tooth demineralization using a computer model.
  • To simulate the dynamic changes in calcium and phosphate fluxes during caries progression.
  • To determine the effect of different membrane selectivities on the rate of demineralization.

Main Methods:

  • Developed a two-compartment computer model simulating diffusion-controlled dissolution of tooth mineral.
  • Modeled an acidic plaque compartment and an inner lesion compartment with a permselective barrier.
  • Varied the cation and anion permeability of the barrier to examine its effects on ion flux and dissolution.

Main Results:

  • The model reached a steady state where calcium to phosphate flux ratio approached the mineral's ratio (5/3).
  • Lesion fluid composition significantly changed due to unequal calcium and phosphate losses.
  • Demineralization rates varied with membrane type: highest for cation-selective and lowest for anion-selective membranes at a given plaque pH.

Conclusions:

  • Membrane permselectivity is a critical factor influencing the rate of tooth demineralization.
  • The findings highlight the importance of considering ion transport dynamics in caries models.
  • Simulation results align with experimental data, validating the model's predictive capability.