Fractional order breast cancer model with therapy, prevention diagnosis and optimal control based on real data
Abstract Cancer is one of the most perilous diseases worldwide, often incurable if not diagnosed in its early stages. Among cancers, breast cancer ranks as the second most lethal, particularly affecting women and contributing to a significant number of fatalities. This work analyzes the breast cance...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-03357-1 |
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| author | Shaimaa A. M. Abdelmohsen Haifa A. Alyousef Sayed Saifullah |
| author_facet | Shaimaa A. M. Abdelmohsen Haifa A. Alyousef Sayed Saifullah |
| author_sort | Shaimaa A. M. Abdelmohsen |
| collection | DOAJ |
| description | Abstract Cancer is one of the most perilous diseases worldwide, often incurable if not diagnosed in its early stages. Among cancers, breast cancer ranks as the second most lethal, particularly affecting women and contributing to a significant number of fatalities. This work analyzes the breast cancer model in the fractional scenario by incorporating the therapy and prevention diagnosis. The model is subjected to theoretical and numerical investigations to explore the dynamics and predictions of the disease. Furthermore, optimal disease control is presented along with a sensitivity analysis of model parameters. Furthermore, the obtained results are compared with the real data with varying fractional orders, revealing that most of the data points coincide with the fractional order 0.98. |
| format | Article |
| id | doaj-art-2c59a6ab5fb742f7b15ff54a8d9fe280 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-2c59a6ab5fb742f7b15ff54a8d9fe2802025-08-20T03:46:01ZengNature PortfolioScientific Reports2045-23222025-07-0115112110.1038/s41598-025-03357-1Fractional order breast cancer model with therapy, prevention diagnosis and optimal control based on real dataShaimaa A. M. Abdelmohsen0Haifa A. Alyousef1Sayed Saifullah2Department of Physics, College of Science, Princess Nourah bint Abdulrahman UniversityDepartment of Physics, College of Science, Princess Nourah bint Abdulrahman UniversityDepartment of Mathematics and Physics, University of Campania “Luigi Vanvitelli”Abstract Cancer is one of the most perilous diseases worldwide, often incurable if not diagnosed in its early stages. Among cancers, breast cancer ranks as the second most lethal, particularly affecting women and contributing to a significant number of fatalities. This work analyzes the breast cancer model in the fractional scenario by incorporating the therapy and prevention diagnosis. The model is subjected to theoretical and numerical investigations to explore the dynamics and predictions of the disease. Furthermore, optimal disease control is presented along with a sensitivity analysis of model parameters. Furthermore, the obtained results are compared with the real data with varying fractional orders, revealing that most of the data points coincide with the fractional order 0.98.https://doi.org/10.1038/s41598-025-03357-1Breast cancer modelFractional operatorDrug therapyOptimal controlSensitivity analysis |
| spellingShingle | Shaimaa A. M. Abdelmohsen Haifa A. Alyousef Sayed Saifullah Fractional order breast cancer model with therapy, prevention diagnosis and optimal control based on real data Scientific Reports Breast cancer model Fractional operator Drug therapy Optimal control Sensitivity analysis |
| title | Fractional order breast cancer model with therapy, prevention diagnosis and optimal control based on real data |
| title_full | Fractional order breast cancer model with therapy, prevention diagnosis and optimal control based on real data |
| title_fullStr | Fractional order breast cancer model with therapy, prevention diagnosis and optimal control based on real data |
| title_full_unstemmed | Fractional order breast cancer model with therapy, prevention diagnosis and optimal control based on real data |
| title_short | Fractional order breast cancer model with therapy, prevention diagnosis and optimal control based on real data |
| title_sort | fractional order breast cancer model with therapy prevention diagnosis and optimal control based on real data |
| topic | Breast cancer model Fractional operator Drug therapy Optimal control Sensitivity analysis |
| url | https://doi.org/10.1038/s41598-025-03357-1 |
| work_keys_str_mv | AT shaimaaamabdelmohsen fractionalorderbreastcancermodelwiththerapypreventiondiagnosisandoptimalcontrolbasedonrealdata AT haifaaalyousef fractionalorderbreastcancermodelwiththerapypreventiondiagnosisandoptimalcontrolbasedonrealdata AT sayedsaifullah fractionalorderbreastcancermodelwiththerapypreventiondiagnosisandoptimalcontrolbasedonrealdata |