A mathematical model for treatment using chemo-immunotherapy
In this study, we investigated a mathematical model for chemoimmunotherapy (a combination of chemotherapy and immunotherapy) for brain cancer. In most cases, the standard protocol for cancer treatment is fixed in terms of treatment time intervals and dosages. We offer a wide range of non-fixed proto...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-04-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S240584402200576X |
| _version_ | 1828490440970600448 |
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| author | Ophir Nave |
| author_facet | Ophir Nave |
| author_sort | Ophir Nave |
| collection | DOAJ |
| description | In this study, we investigated a mathematical model for chemoimmunotherapy (a combination of chemotherapy and immunotherapy) for brain cancer. In most cases, the standard protocol for cancer treatment is fixed in terms of treatment time intervals and dosages. We offer a wide range of non-fixed protocols, which essentially vary in terms of time intervals and dosages (i.e., personalised medicine). The functions that describe this treatment are explicit and analytical. Hence, the parameters of the function can be easily changed and a new protocol can be obtained. We compared different protocols and obtained an optimal solution. In addition, we applied the singular perturbed vector field (SPVF) method to determine the hierarchy of the system of equations, which enabled us to identify the equilibrium points of the mathematical model and investigate their stability. |
| first_indexed | 2024-12-11T10:44:46Z |
| format | Article |
| id | doaj.art-642040c1c95341cab2ef696f2e565a00 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-11T10:44:46Z |
| publishDate | 2022-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-642040c1c95341cab2ef696f2e565a002022-12-22T01:10:30ZengElsevierHeliyon2405-84402022-04-0184e09288A mathematical model for treatment using chemo-immunotherapyOphir Nave0Department of Mathematics, Jerusalem College of Technology, IsraelIn this study, we investigated a mathematical model for chemoimmunotherapy (a combination of chemotherapy and immunotherapy) for brain cancer. In most cases, the standard protocol for cancer treatment is fixed in terms of treatment time intervals and dosages. We offer a wide range of non-fixed protocols, which essentially vary in terms of time intervals and dosages (i.e., personalised medicine). The functions that describe this treatment are explicit and analytical. Hence, the parameters of the function can be easily changed and a new protocol can be obtained. We compared different protocols and obtained an optimal solution. In addition, we applied the singular perturbed vector field (SPVF) method to determine the hierarchy of the system of equations, which enabled us to identify the equilibrium points of the mathematical model and investigate their stability.http://www.sciencedirect.com/science/article/pii/S240584402200576XCancer protocolMathematical modelDosageChemo-immunotherapyGBM |
| spellingShingle | Ophir Nave A mathematical model for treatment using chemo-immunotherapy Heliyon Cancer protocol Mathematical model Dosage Chemo-immunotherapy GBM |
| title | A mathematical model for treatment using chemo-immunotherapy |
| title_full | A mathematical model for treatment using chemo-immunotherapy |
| title_fullStr | A mathematical model for treatment using chemo-immunotherapy |
| title_full_unstemmed | A mathematical model for treatment using chemo-immunotherapy |
| title_short | A mathematical model for treatment using chemo-immunotherapy |
| title_sort | mathematical model for treatment using chemo immunotherapy |
| topic | Cancer protocol Mathematical model Dosage Chemo-immunotherapy GBM |
| url | http://www.sciencedirect.com/science/article/pii/S240584402200576X |
| work_keys_str_mv | AT ophirnave amathematicalmodelfortreatmentusingchemoimmunotherapy AT ophirnave mathematicalmodelfortreatmentusingchemoimmunotherapy |