The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste
Objectives. A mathematical model making using of the Verhulst logistic equation was developed to predict the remineralization behaviors of desensitizing paste. Methods. The input parameter used for the model was obtained experimentally by brushing twenty-one simulated dentin specimens for seven days...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Dentistry |
| Online Access: | http://dx.doi.org/10.1155/2019/7528154 |
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| author | Stanley Chibuzor Onwubu Phumlane Selby Mdluli Shenuka Singh Obiora Cornelius Collins |
| author_facet | Stanley Chibuzor Onwubu Phumlane Selby Mdluli Shenuka Singh Obiora Cornelius Collins |
| author_sort | Stanley Chibuzor Onwubu |
| collection | DOAJ |
| description | Objectives. A mathematical model making using of the Verhulst logistic equation was developed to predict the remineralization behaviors of desensitizing paste. Methods. The input parameter used for the model was obtained experimentally by brushing twenty-one simulated dentin specimens for seven days with three sample groups, namely, EB@TiO2, Colgate Pro-relief, and Sensodyne repair (n = 7). A field emission scanning electron microscope (FESEM) and ImageJ software were used to observe and measure the % occluded ratio of the dentin surface. The model fittings for the three sample groups were carried out using the built-in MATLAB least-squares fitting routine fmincon in the optimization toolbox. Results. The results suggest that the experimental parameter were in agreement with the model. It was found that the logistic equation model can make a future prediction of the remineralization pattern for EB@TiO2 and Colgate Pro-relief. It was, however, found that the trajectory for the Sensodyne repair was a bit complex, thus making the prediction difficult. Conclusions. Overall, the salient feature of this study suggests that the logistic equation could be used to predict the remineralization behavior of desensitizing paste in the management of sensitive tooth. |
| format | Article |
| id | doaj-art-471e94a93a904fb0864066cdae75358d |
| institution | Kabale University |
| issn | 1687-8728 1687-8736 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Dentistry |
| spelling | doaj-art-471e94a93a904fb0864066cdae75358d2025-02-03T01:02:30ZengWileyInternational Journal of Dentistry1687-87281687-87362019-01-01201910.1155/2019/75281547528154The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing PasteStanley Chibuzor Onwubu0Phumlane Selby Mdluli1Shenuka Singh2Obiora Cornelius Collins3Dental Sciences, Durban University of Technology (DUT), Durban, South AfricaChemistry, Durban University of Technology (DUT), Durban, South AfricaDiscipline of Dentistry, University of KwaZulu-Natal (UKZN), Durban, South AfricaInstitute of Systems Science, Durban University of Technology, Durban 4000, South AfricaObjectives. A mathematical model making using of the Verhulst logistic equation was developed to predict the remineralization behaviors of desensitizing paste. Methods. The input parameter used for the model was obtained experimentally by brushing twenty-one simulated dentin specimens for seven days with three sample groups, namely, EB@TiO2, Colgate Pro-relief, and Sensodyne repair (n = 7). A field emission scanning electron microscope (FESEM) and ImageJ software were used to observe and measure the % occluded ratio of the dentin surface. The model fittings for the three sample groups were carried out using the built-in MATLAB least-squares fitting routine fmincon in the optimization toolbox. Results. The results suggest that the experimental parameter were in agreement with the model. It was found that the logistic equation model can make a future prediction of the remineralization pattern for EB@TiO2 and Colgate Pro-relief. It was, however, found that the trajectory for the Sensodyne repair was a bit complex, thus making the prediction difficult. Conclusions. Overall, the salient feature of this study suggests that the logistic equation could be used to predict the remineralization behavior of desensitizing paste in the management of sensitive tooth.http://dx.doi.org/10.1155/2019/7528154 |
| spellingShingle | Stanley Chibuzor Onwubu Phumlane Selby Mdluli Shenuka Singh Obiora Cornelius Collins The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste International Journal of Dentistry |
| title | The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste |
| title_full | The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste |
| title_fullStr | The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste |
| title_full_unstemmed | The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste |
| title_short | The Application of the Logistic Equation Model to Predict the Remineralization Characteristics of Desensitizing Paste |
| title_sort | application of the logistic equation model to predict the remineralization characteristics of desensitizing paste |
| url | http://dx.doi.org/10.1155/2019/7528154 |
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