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dc.contributor.authorPatarawadee Prasertsangen_US
dc.contributor.authorValipuram Manoranjanen_US
dc.contributor.authorYongwimon Lenburyen_US
dc.contributor.otherMahidol Universityen_US
dc.contributor.otherWashington State University Pullmanen_US
dc.contributor.otherPERDO Commission on Higher Educationen_US
dc.identifier.citationNonlinear Studies. Vol.18, No.1 (2011), 87-97en_US
dc.description.abstractWe study a theoretical model of the progress of carious lesion of tooth enamel as a result of the diffusion of organic acids from the dental plaque through the enamel to react with static hydroxyapatile. The process is modeled by an advective-reaction-diffusion equation that is coupled with nonlinear sorption. The concentration profile of the mobile, or diffusing, reactant can be obtained exactly in the form of a travelling wave front. We describe the method for finding the analytical solutions using the travelling wave coordinate when the wave is assumed to be moving at constant speed. Numerical solutions are then found in order to compare with the exact solution in the context of experimental data reported in the literature. © CSP - Cambridge, UK; I & S - Florida, USA, 2011.en_US
dc.rightsMahidol Universityen_US
dc.titleAnalytical travelling wave solutions of a dental plaque model with nonlinear sorptionen_US
Appears in Collections:Scopus 2011-2015

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