Comparative study of blood sugar–insulin model using fractional derivatives
Many years have passed since the model that outlined the connection between sugar and insulin was developed, and a great deal of study and investigation has subsequently been done on it. In this work, we investigated the disparities in the Modified Bergman's glucose–insulin model between Yang–A...
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Taibah University for Science |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2024.2339009 |
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| author | Mounirah Areshi Pranay Goswami Manvendra Narayan Mishra |
| author_facet | Mounirah Areshi Pranay Goswami Manvendra Narayan Mishra |
| author_sort | Mounirah Areshi |
| collection | DOAJ |
| description | Many years have passed since the model that outlined the connection between sugar and insulin was developed, and a great deal of study and investigation has subsequently been done on it. In this work, we investigated the disparities in the Modified Bergman's glucose–insulin model between Yang–Abdel–Cattani derivative and Caputo–Fabrizio derivative. With our improvements, the prior model now includes the diet, which is a crucial component of the blood glucose model. Based on results, the new model outperforms the previous one in terms of accuracy. To highlight the significance of fractional derivatives, we also established the fractional models. In addition, we verified the existence and uniqueness of the results and offered a graphical and numerical depiction of the findings. |
| format | Article |
| id | doaj-art-ebb0ee674e2048009f76052f7b766a33 |
| institution | Kabale University |
| issn | 1658-3655 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj-art-ebb0ee674e2048009f76052f7b766a332024-12-17T11:38:48ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552024-12-0118110.1080/16583655.2024.2339009Comparative study of blood sugar–insulin model using fractional derivativesMounirah Areshi0Pranay Goswami1Manvendra Narayan Mishra2Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Mathematics, School of Liberal Studies, Dr. B. R. Ambedkar University Delhi, Delhi, IndiaDepartment of Mathematics, Suresh Gyan Vihar University, Jaipur, IndiaMany years have passed since the model that outlined the connection between sugar and insulin was developed, and a great deal of study and investigation has subsequently been done on it. In this work, we investigated the disparities in the Modified Bergman's glucose–insulin model between Yang–Abdel–Cattani derivative and Caputo–Fabrizio derivative. With our improvements, the prior model now includes the diet, which is a crucial component of the blood glucose model. Based on results, the new model outperforms the previous one in terms of accuracy. To highlight the significance of fractional derivatives, we also established the fractional models. In addition, we verified the existence and uniqueness of the results and offered a graphical and numerical depiction of the findings.https://www.tandfonline.com/doi/10.1080/16583655.2024.2339009Bergman's minimal modelCaputo–Fabrizio derivativeYang–Abdel–Cattani derivativeSumudu transformuniqueness and onenessPrimary 92B05 |
| spellingShingle | Mounirah Areshi Pranay Goswami Manvendra Narayan Mishra Comparative study of blood sugar–insulin model using fractional derivatives Journal of Taibah University for Science Bergman's minimal model Caputo–Fabrizio derivative Yang–Abdel–Cattani derivative Sumudu transform uniqueness and oneness Primary 92B05 |
| title | Comparative study of blood sugar–insulin model using fractional derivatives |
| title_full | Comparative study of blood sugar–insulin model using fractional derivatives |
| title_fullStr | Comparative study of blood sugar–insulin model using fractional derivatives |
| title_full_unstemmed | Comparative study of blood sugar–insulin model using fractional derivatives |
| title_short | Comparative study of blood sugar–insulin model using fractional derivatives |
| title_sort | comparative study of blood sugar insulin model using fractional derivatives |
| topic | Bergman's minimal model Caputo–Fabrizio derivative Yang–Abdel–Cattani derivative Sumudu transform uniqueness and oneness Primary 92B05 |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2024.2339009 |
| work_keys_str_mv | AT mounirahareshi comparativestudyofbloodsugarinsulinmodelusingfractionalderivatives AT pranaygoswami comparativestudyofbloodsugarinsulinmodelusingfractionalderivatives AT manvendranarayanmishra comparativestudyofbloodsugarinsulinmodelusingfractionalderivatives |