摘要翻译：
我们建立了一个由酸从牙菌斑扩散到牙釉质引起的龋病进展的理论模型。酸与静态羟基磷灰石反应，导致牙釉质脱矿，从而导致龋病的发展。该模型采用一个静态反应物和一个流动反应物的扩散反应方程组，其中反应项与酸和矿物浓度的乘积成正比。用微扰法近似计算了浓度的变化。将解析近似解与数值解和实验数据进行了比较。
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英文标题：
《Perturbation method to model enamel caries progress》
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作者：
Katarzyna D. Lewandowska, Tadeusz Kosztolowicz
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Other Condensed Matter        其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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英文摘要：
  We develop a theoretical model of the carious lesion progress caused by acids diffusing into the tooth enamel from the dental plaque. The acids react with static hydroxyapatite, which leads to demineralization of the enamel, and consequently to the development of the carious lesion. The model utilizes the diffusion-reaction equations with one static and one mobile reactant where the reaction term is proportional to the product of concentrations of acids and of mineral. The changes of concentrations are calculated approximately by means of a perturbation method. The analytical approximate solutions are compared with the numerical ones and experimental data.
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PDF链接：
https://arxiv.org/pdf/707.0194