A mathematical model for the mechanism of calcium fluoride formation on hydroxyapatite in buffered fluoride solutions is proposed. It takes into account the physical and chemical processes that occur during the reaction. With the model it is possible to evaluate a priori the fluoride uptake potential of fluoride solutions.
Get full access to this article
View all access options for this article.
References
1.
Blayney, J.R. , and Hill, I.N.: Fluorine and Dental Caries, JADA74:233-302, 1967.
2.
Peffley, G.E. , and Muhler, J.C.: The Effect of a Commercial Stannous Fluoride Dentifrice under Controlled Brushing Habits on Dental Caries Incidence in Children: Preliminary Report, J Dent Res39:871-874, 1960.
3.
Wellock, W.D. , and Brudevold, F.: A Study of Acidulated Fluoride Solutions II, Arch Oral Biol8:179-182, 1963.
4.
Pameijer, J.H.N. ; Brudevold, F.; and Hunt, E.E.: A Study of Acidulated Fluoride Solutions III, Arch Oral Biol8:183-185, 1963.
5.
Wellock, W.D. ; Maitland, A.; and Brudevold, F.: Caries Increments, Tooth Discoloration, and State of Oral Hygiene in Children Given Single Annual Applications of Acid Phosphate-Fluoride and Stannous Fluoride, Arch Oral Biol10:453-460, 1965.
6.
Brudevold, F. : Chemical Composition of the Teeth in Relation to Caries, in Sogn-Naes, R.F. (ed): Chemistry and Prevention of Dental Caries, Springfield, III.: Charles C Thomas, 1962, pp 32-88.
7.
Gray, J.A.: Kinetics of the Dissolution of Human Dental Enamel in Acid, J Dent Res41:633-645, 1962.
8.
Higuchi, W.I. ; Gray, J.A.; Hefferren , J.J.; and Patel, P.R.: Mechanisms of Enamel Dissolution in Acid Buffers, J Dent Res44:330-341, 1965.
9.
Patel, P.R.: Studies on Acid Demineralization Kinetics of Enamel, PhD thesis, University of Michigan, 1965.
10.
Becker, J.W. : Studies of a Proposed Model for Acid Demineralization of Hydroxy apatite, PhD thesis, University of Michigan , 1967.
11.
Zimmerman, S.O.: A Mathematical Theory of Enamel Solubility and the Onset of Dental Caries: I. The Kinetics of Dissolution of Powdered Enamel in Acid Buffer, Bull Math Biophys28:417-432, 1966.
12.
Zimmerman, S.O. : A Mathematical Theory of Enamel Solubility and the Onset of Dental Caries: II. Some Solubility Equilibrium Considerations of Hydroxyapatite, Bull Math Biophys28:433-442, 1966.
13.
Zimmerman, S.O. : A Mathematical Theory of Enamel Solubility and the Onset of Dental Caries: III. Development and Computer Simulation of a Model of Caries Formation, Bull Math Biophys28:443-464, 1966.
14.
Napper, D.H. , and Smythe, B.M.: The Dissolution Kinetics of Hydroxyapatite in the Presence of Kink Poisons , J Dent Res45:1775-1783, 1966 .
15.
Hill, A.V.: The Diffusion of Oxygen and Lactic Acid through Tissues, Proc Roy Soc B104:39-96, 1928.
16.
Olander, D.R. : Simultaneous Mass Transfer and Equilibrium Chemical Reaction, A I Ch E J6:233-239, 1960.
17.
Crank, J.: The Mathematics of Diffusion, Oxford: Clarendon Press, 1956, p 121.
18.
Farr, T.C.; Tarbutton, G.; and Lewis, H.T.: System CaO-P2O5-HF-H2O: Equilibrium at 25 and 50°, J Phys Chem66: 318-321, 1962.
19.
Mir, N.A.: The Mechanism of Action of Solution Fluoride upon the Demineralization Rate of Enamel, PhD thesis, University of Michigan, 1967.
20.
Chughtai, A. ; Marshall, R.; and Nan-Collas , G.H.: Complexes in Calcium Phosphate Solutions, J Phys Chem72: 208-211, 1968.
21.
Desai, S.J. ; Singh, P.; Simonelli , A.P., and Higuchi, W.I.: Investigation of Factors Influencing Release of Solid Drug Dispersed in Inert Matrices II , J Pharm Sci55:1224-1229, 1966 .
