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A mathematical theory of enamel solubility and the onset of dental caries: 3. Development and computer simulation of a model of caries formation.

作者信息

Zimmerman S O

出版信息

Bull Math Biophys. 1966 Sep;28(3):443-64. doi: 10.1007/BF02476825.

DOI:10.1007/BF02476825
PMID:5970940
Abstract
摘要

相似文献

1
A mathematical theory of enamel solubility and the onset of dental caries: 3. Development and computer simulation of a model of caries formation.
Bull Math Biophys. 1966 Sep;28(3):443-64. doi: 10.1007/BF02476825.
2
Quantitation of enamel demineralization mechanisms. 3. A critical examination of the hydroxyapatite model.
J Dent Res. 1969 May-Jun;48(3):396-409. doi: 10.1177/00220345690480031201.
3
A mathematical theory of enamel solubility and the onset of dental caries: I. The kinetics of dissolution of powdered enamel in acid buffer.牙釉质溶解性与龋齿发生的数学理论:I. 粉末状牙釉质在酸性缓冲液中的溶解动力学
Bull Math Biophys. 1966 Sep;28(3):417-32. doi: 10.1007/BF02476823.
4
A mathematical theory of enamel solubility and the onset of dental caries: II. Some solubility equilibrium considerations of hydroxyapatite.牙釉质溶解度与龋齿发生的数学理论:II. 羟基磷灰石的一些溶解平衡考量
Bull Math Biophys. 1966 Sep;28(3):433-41. doi: 10.1007/BF02476824.
5
MECHANISMS OF ENAMEL DISSOLUTION IN ACID BUFFERS.
J Dent Res. 1965 Mar-Apr;44:330-41. doi: 10.1177/00220345650440020501.
6
Chemistry of enamel subsurface demineralization in vitro.牙釉质表面下脱矿的体外化学研究
J Dent Res. 1974 Mar-Apr;53(2):226-35. doi: 10.1177/00220345740530020901.
7
Kinetics of enamel dissolution during formation of incipient caries-like lesions.
Arch Oral Biol. 1966 Apr;11(4):397-422. doi: 10.1016/0003-9969(66)90105-1.
8
Factors affecting the differential dissolution of human enamel in acid and EDTA. A scanning electron microscope study.影响人牙釉质在酸和乙二胺四乙酸中差异溶解的因素。一项扫描电子显微镜研究。
Arch Oral Biol. 1971 Apr;16(4):385-96. doi: 10.1016/0003-9969(71)90163-4.
9
Chemical and mathematical simulation of caries.龋齿的化学与数学模拟
Caries Res. 1979;13(3):169-80. doi: 10.1159/000260398.
10
[Enamel solubility, caries and erosion].[牙釉质溶解性、龋齿与侵蚀]
Tandlaegebladet. 1975 Oct;79(18):725-7.

引用本文的文献

1
Finite Element Modelling and Experimental Validation of the Enamel Demineralisation Process at the Rod Level.杆级釉质脱矿过程的有限元建模与实验验证。
J Adv Res. 2020 Sep 6;29:167-177. doi: 10.1016/j.jare.2020.08.018. eCollection 2021 Mar.
2
A Mathematical Model for Dental Caries: A Coupled Dissolution-Diffusion Process.龋齿的数学模型:一种耦合溶解-扩散过程
J Res Natl Inst Stand Technol. 1991 Sep-Oct;96(5):593-604. doi: 10.6028/jres.096.035.
3
On the initial propagation of dental caries.关于龋齿的初始发展。

本文引用的文献

1
Caries of the enamel; a histopathological study of caries of the human enamel operating beneath apparently sound and intact enamel surfaces.牙釉质龋;对在看似完好无损的牙釉质表面下发生的人类牙釉质龋的组织病理学研究。
J Dent Res. 1947 Jun;26(3):181-202. doi: 10.1177/00220345470260030201.
2
An investigation into the organic components of the human tooth; a study of sound and carious dentine.对人牙有机成分的研究;健全牙本质与龋坏牙本质的研究。
Br Dent J. 1949 Apr 1;86(7):167-71.
3
Specific Surfaces of Bone, Apatite, Enamel, and Dentine.
J R Soc Interface. 2014 Nov 6;11(100):20140809. doi: 10.1098/rsif.2014.0809.
4
Influence of pyrophosphate on the exchange of calcium and phosphate ions on hydroxyapatite.焦磷酸盐对羟基磷灰石上钙和磷酸根离子交换的影响。
Calcif Tissue Res. 1973;13(1):27-40. doi: 10.1007/BF02015393.
Science. 1947 May 16;105(2733):531-2. doi: 10.1126/science.105.2733.531.
4
The crystal chemistry of carbonate apatities and their relationship to the composition of calcified tissues.
J Dent Res. 1952 Feb;31(1):53-63. doi: 10.1177/00220345520310012301.
5
The solubility of normal and fluoridized enamel.正常釉质和氟化釉质的溶解度。
J Dent Res. 1951 Apr;30(2):177-81. doi: 10.1177/00220345510300020501.
6
Influence of type of acid, pH, molarity, and saturation on rate of enamel peneration.酸的类型、pH值、摩尔浓度和饱和度对牙釉质渗透速率的影响。
J Dent Res. 1962 Jul-Aug;41:760-70. doi: 10.1177/00220345620410040601.
7
Some notes on the solubility of enamel and dentine in acid.关于牙釉质和牙本质在酸中的溶解性的一些笔记。
Arch Oral Biol. 1960 Jan;1:218-32. doi: 10.1016/0003-9969(60)90049-2.
8
X-ray crystallographic studies on apatites and calcified structures.关于磷灰石和钙化结构的X射线晶体学研究。
Acta Radiol Suppl. 1955;121:1-59.
9
Solubility rates of effect of acid structures on enamel and dentin in acid buffers.酸性缓冲液中酸结构对牙釉质和牙本质作用的溶解速率
J Dent Res. 1963 Mar-Apr;42:700-6. doi: 10.1177/00220345630420021901.
10
Studies on the ultrastructure of dental enamel. IV. The mineralization of normal human enamel.牙釉质超微结构的研究。IV. 正常人类牙釉质的矿化
J Ultrastruct Res. 1963 Feb;8:12-23. doi: 10.1016/s0022-5320(63)80017-9.