title: [A mathematical model of the development of dental caries].
abstract: A mathematical model is suggested, simulating the development of carious process in a tooth, based on an analytical approach. The process of hydrogen ions diffusion into enamel microspaces is described via transport equation. A simplified model explaining the formation of the involvement of the body of the tooth under the enamel surface at the initial stages of caries development is described in detail. Analysis has shown that the theoretical model is in good correlation with experimental data on the rate of chemical reaction of Ca radionuclide accumulation in the enamel surface and deeper layers.
authors.forename: Iu M
authors.initials: IuM
authors.lastname: Maksimovskiĭ
authors.forename: I A
authors.initials: IA
authors.lastname: Nikitina
authors.forename: A G
authors.initials: AG
authors.lastname: Kolesnik
mesh_terms: D003731:Dental Caries / Q000209:etiology* / Q000503:physiopathology; D003745:Dental Enamel Permeability / Q000502:physiology; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D012463:Saliva / Q000502:physiology; D014074:Tooth Calcification / Q000502:physiology
vernacular_title: Matematicheskaia model' razvitiia kariesa zubov.