Integral invariant manifold method applied to a mathematical model of osteosarcoma
In this study, an asymptotic method called the method of integral invariant manifold (MIM) was applied to a mathematical model of Osteosarcoma cancer. The mathematical model describes the interactions of the immune system cells and the osteosarcoma tumor. These interactions are described by nonlinea...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Results in Control and Optimization |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720725000153 |
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| _version_ | 1825206867613188096 |
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| author | Ophir Nave |
| author_facet | Ophir Nave |
| author_sort | Ophir Nave |
| collection | DOAJ |
| description | In this study, an asymptotic method called the method of integral invariant manifold (MIM) was applied to a mathematical model of Osteosarcoma cancer. The mathematical model describes the interactions of the immune system cells and the osteosarcoma tumor. These interactions are described by nonlinear ordinary differential equations. By applying the MIM method, two critical dynamic variables (Cancer cells and Necrotic cells) were identified, providing insights into the dynamics of osteosarcoma over time during treatment. |
| format | Article |
| id | doaj-art-55cc37924be040119cc017c7880e7cd6 |
| institution | Kabale University |
| issn | 2666-7207 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj-art-55cc37924be040119cc017c7880e7cd62025-02-07T04:48:25ZengElsevierResults in Control and Optimization2666-72072025-03-0118100529Integral invariant manifold method applied to a mathematical model of osteosarcomaOphir Nave0Correspondence to: Department of Mathematics, Faculty of Science, Jerusalem College of Technology, Israel.; Department of Mathematics, Faculty of Science, Jerusalem College of Technology, Israel; Faculty of Computer Science, College of Management, Academic Studies, IsraelIn this study, an asymptotic method called the method of integral invariant manifold (MIM) was applied to a mathematical model of Osteosarcoma cancer. The mathematical model describes the interactions of the immune system cells and the osteosarcoma tumor. These interactions are described by nonlinear ordinary differential equations. By applying the MIM method, two critical dynamic variables (Cancer cells and Necrotic cells) were identified, providing insights into the dynamics of osteosarcoma over time during treatment.http://www.sciencedirect.com/science/article/pii/S2666720725000153OsteosarcomaSarcomaCancerMathematical modelIntegral invariant manifold method |
| spellingShingle | Ophir Nave Integral invariant manifold method applied to a mathematical model of osteosarcoma Results in Control and Optimization Osteosarcoma Sarcoma Cancer Mathematical model Integral invariant manifold method |
| title | Integral invariant manifold method applied to a mathematical model of osteosarcoma |
| title_full | Integral invariant manifold method applied to a mathematical model of osteosarcoma |
| title_fullStr | Integral invariant manifold method applied to a mathematical model of osteosarcoma |
| title_full_unstemmed | Integral invariant manifold method applied to a mathematical model of osteosarcoma |
| title_short | Integral invariant manifold method applied to a mathematical model of osteosarcoma |
| title_sort | integral invariant manifold method applied to a mathematical model of osteosarcoma |
| topic | Osteosarcoma Sarcoma Cancer Mathematical model Integral invariant manifold method |
| url | http://www.sciencedirect.com/science/article/pii/S2666720725000153 |
| work_keys_str_mv | AT ophirnave integralinvariantmanifoldmethodappliedtoamathematicalmodelofosteosarcoma |