Starting with the equation describing subdiffusion associated with chemical reactions for one-static reactant, we show that the reaction front X f evolves in time as x f ~ t α/2 with α < 1. The equation is applied to the carious lesion which is caused by the chemical reactions of diffusing acid molecules or pure hydrogen ions with static hydroxyapatite in the tooth enamel. Comparing our theoretical results with the already published experimental ones, we conclude that in some cases the transport process of the acids in the tooth enamel appears to be subdiffusive and should be described by the subdiffusion-reaction equation with the fractional time derivative.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:15-qucosa-196978 |
| Date | 02 February 2016 |
| Creators | Kosztolowicz, Tadeusz, Lewandowska, Katarzyna D. |
| Contributors | Swietokrzyska Academy, Institute of Physics, Medical University of Gdansk, Dept. of Physics and Biophysics, Universität Leipzig, Fakultät für Physik und Geowissenschaften |
| Publisher | Universitätsbibliothek Leipzig |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:article |
| Format | application/pdf |
| Source | Diffusion fundamentals 2 (2005) 124, S. 1-2 |
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