A space-time Caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor-immune cells
Tumors result from genetic mutations or environmental factors that prompt cells to divide uncontrollably. This study aims to examine the behavior of tumor-immune cell growth in the presence of chemotherapy drug diffusion at a Caputo fractional order. To accomplish this, we employed the modified homo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-06-01
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| Series: | Healthcare Analytics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2772442524000273 |
| _version_ | 1827223288445665280 |
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| author | Morufu Oyedunsi Olayiwola Adedapo Ismaila Alaje |
| author_facet | Morufu Oyedunsi Olayiwola Adedapo Ismaila Alaje |
| author_sort | Morufu Oyedunsi Olayiwola |
| collection | DOAJ |
| description | Tumors result from genetic mutations or environmental factors that prompt cells to divide uncontrollably. This study aims to examine the behavior of tumor-immune cell growth in the presence of chemotherapy drug diffusion at a Caputo fractional order. To accomplish this, we employed the modified homotopy perturbation method to solve a proposed system of nonlinear differential equations. We obtained the analytical solutions to study the spatiotemporal pathological response of tumor-immune cell growth. Our analysis also considered the impact of the Caputo-fractional order on the system's dynamics and compared the results with the classical integer-order scenario. Our findings demonstrated that the proposed method is an effective and precise technique for understanding the intricate interactions of tumor-immune cell growth. Additionally, we revealed that the Caputo-fractional order plays a significant role in the system's behavior and should not be overlooked in future analyses of such systems. In conclusion, this study holds important implications for cancer research by providing insights into the behavior of tumor-immune cell growth in the presence of time-fractional administration of chemotherapy drugs. |
| first_indexed | 2024-04-24T11:20:12Z |
| format | Article |
| id | doaj.art-52d170433f3a46d2aa60db10e62c9eb1 |
| institution | Directory Open Access Journal |
| issn | 2772-4425 |
| language | English |
| last_indexed | 2025-03-21T16:52:00Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Healthcare Analytics |
| spelling | doaj.art-52d170433f3a46d2aa60db10e62c9eb12024-06-15T06:14:56ZengElsevierHealthcare Analytics2772-44252024-06-015100325A space-time Caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor-immune cellsMorufu Oyedunsi Olayiwola0Adedapo Ismaila Alaje1Department of Mathematical Sciences, Osun State University, Osogbo, NigeriaCorresponding author; Department of Mathematical Sciences, Osun State University, Osogbo, NigeriaTumors result from genetic mutations or environmental factors that prompt cells to divide uncontrollably. This study aims to examine the behavior of tumor-immune cell growth in the presence of chemotherapy drug diffusion at a Caputo fractional order. To accomplish this, we employed the modified homotopy perturbation method to solve a proposed system of nonlinear differential equations. We obtained the analytical solutions to study the spatiotemporal pathological response of tumor-immune cell growth. Our analysis also considered the impact of the Caputo-fractional order on the system's dynamics and compared the results with the classical integer-order scenario. Our findings demonstrated that the proposed method is an effective and precise technique for understanding the intricate interactions of tumor-immune cell growth. Additionally, we revealed that the Caputo-fractional order plays a significant role in the system's behavior and should not be overlooked in future analyses of such systems. In conclusion, this study holds important implications for cancer research by providing insights into the behavior of tumor-immune cell growth in the presence of time-fractional administration of chemotherapy drugs.http://www.sciencedirect.com/science/article/pii/S2772442524000273Caputo-derivativeHomotopy perturbation methodTumorPathological responseChemotherapyDiffusion |
| spellingShingle | Morufu Oyedunsi Olayiwola Adedapo Ismaila Alaje A space-time Caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor-immune cells Healthcare Analytics Caputo-derivative Homotopy perturbation method Tumor Pathological response Chemotherapy Diffusion |
| title | A space-time Caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor-immune cells |
| title_full | A space-time Caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor-immune cells |
| title_fullStr | A space-time Caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor-immune cells |
| title_full_unstemmed | A space-time Caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor-immune cells |
| title_short | A space-time Caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor-immune cells |
| title_sort | space time caputo fractional order and modified homotopy perturbation method for evaluating the pathological response of tumor immune cells |
| topic | Caputo-derivative Homotopy perturbation method Tumor Pathological response Chemotherapy Diffusion |
| url | http://www.sciencedirect.com/science/article/pii/S2772442524000273 |
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