A new investigation on fractionalized modeling of human liver
Abstract This study focuses on improving the accuracy of assessing liver damage and early detection for improved treatment strategies. In this study, we examine the human liver using a modified Atangana-Baleanu fractional derivative based on the mathematical model to understand and predict the behav...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-01-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-024-51430-y |
| _version_ | 1827377299126747136 |
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| author | Sanjay Bhatter Kamlesh Jangid Shyamsunder Kumawat Dumitru Baleanu Sunil Dutt Purohit Daya Lal Suthar |
| author_facet | Sanjay Bhatter Kamlesh Jangid Shyamsunder Kumawat Dumitru Baleanu Sunil Dutt Purohit Daya Lal Suthar |
| author_sort | Sanjay Bhatter |
| collection | DOAJ |
| description | Abstract This study focuses on improving the accuracy of assessing liver damage and early detection for improved treatment strategies. In this study, we examine the human liver using a modified Atangana-Baleanu fractional derivative based on the mathematical model to understand and predict the behavior of the human liver. The iteration method and fixed-point theory are used to investigate the presence of a unique solution in the new model. Furthermore, the homotopy analysis transform method, whose convergence is also examined, implements the mathematical model. Finally, numerical testing is performed to demonstrate the findings better. According to real clinical data comparison, the new fractional model outperforms the classical integer-order model with coherent temporal derivatives. |
| first_indexed | 2024-03-08T12:37:02Z |
| format | Article |
| id | doaj.art-07058a0e966b4af1b8e9abc9c260e3f1 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-08T12:37:02Z |
| publishDate | 2024-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-07058a0e966b4af1b8e9abc9c260e3f12024-01-21T12:20:47ZengNature PortfolioScientific Reports2045-23222024-01-0114111510.1038/s41598-024-51430-yA new investigation on fractionalized modeling of human liverSanjay Bhatter0Kamlesh Jangid1Shyamsunder Kumawat2Dumitru Baleanu3Sunil Dutt Purohit4Daya Lal Suthar5Department of Mathematics, Malaviya National Institute of Technology JaipurDepartment of Mathematics, Central University of RajasthanDepartment of Mathematics, Malaviya National Institute of Technology JaipurDepartment of Computer Science and Mathematics, Lebanese American UniversityDepartment of Computer Science and Mathematics, Lebanese American UniversityDepartment of Mathematics, Wollo UniversityAbstract This study focuses on improving the accuracy of assessing liver damage and early detection for improved treatment strategies. In this study, we examine the human liver using a modified Atangana-Baleanu fractional derivative based on the mathematical model to understand and predict the behavior of the human liver. The iteration method and fixed-point theory are used to investigate the presence of a unique solution in the new model. Furthermore, the homotopy analysis transform method, whose convergence is also examined, implements the mathematical model. Finally, numerical testing is performed to demonstrate the findings better. According to real clinical data comparison, the new fractional model outperforms the classical integer-order model with coherent temporal derivatives.https://doi.org/10.1038/s41598-024-51430-y |
| spellingShingle | Sanjay Bhatter Kamlesh Jangid Shyamsunder Kumawat Dumitru Baleanu Sunil Dutt Purohit Daya Lal Suthar A new investigation on fractionalized modeling of human liver Scientific Reports |
| title | A new investigation on fractionalized modeling of human liver |
| title_full | A new investigation on fractionalized modeling of human liver |
| title_fullStr | A new investigation on fractionalized modeling of human liver |
| title_full_unstemmed | A new investigation on fractionalized modeling of human liver |
| title_short | A new investigation on fractionalized modeling of human liver |
| title_sort | new investigation on fractionalized modeling of human liver |
| url | https://doi.org/10.1038/s41598-024-51430-y |
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