A Mathematical Model for Chemotherapy, Immunotherapy and Virotherapy Treatments of Cancer
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912929660534784 |
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| author | Dutta, Tarini Kumar Sangma, Silmera A Moore, Janice Shillor, Meir |
| author_facet | Dutta, Tarini Kumar Sangma, Silmera A Moore, Janice Shillor, Meir |
| contents | We continue our study of a model for cancer treatment, constructed in Dutta et. al., 2025, by adding Virotherapy to the Chemotherapy and Immunotherapy studied there. It is a dynamical system model for the spread of cancer in healthy tissue. It allows computer experiments of various combinations of the three modalities, which cannot be performed in the laboratory or experimentally. The novelty is the addition of Virotherapy. The analysis shows that the model solutions exist, are bounded, and nonnegative on each finite time interval, thus biologically feasible. A time-stepping algorithm is constructed and implemented, and computer simulations are presented. The simulations show the development of the disease under various treatment options, including a baseline case without treatment, cases for each of the three treatments separately, and some combinations of the three treatments. These simulations indicate that combinations of treatments are more effective. However, we do not consider any limitation or incompatibilities of the joint application of the three modalities, that may exist in practice. Once validated in the field, the model can be used to design treatment schedules of combinations of the three modalities for improved outcomes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23488 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Mathematical Model for Chemotherapy, Immunotherapy and Virotherapy Treatments of Cancer Dutta, Tarini Kumar Sangma, Silmera A Moore, Janice Shillor, Meir Other Quantitative Biology 34A12, 37C20, 49K15, 49K40, 92C17, 92C60 We continue our study of a model for cancer treatment, constructed in Dutta et. al., 2025, by adding Virotherapy to the Chemotherapy and Immunotherapy studied there. It is a dynamical system model for the spread of cancer in healthy tissue. It allows computer experiments of various combinations of the three modalities, which cannot be performed in the laboratory or experimentally. The novelty is the addition of Virotherapy. The analysis shows that the model solutions exist, are bounded, and nonnegative on each finite time interval, thus biologically feasible. A time-stepping algorithm is constructed and implemented, and computer simulations are presented. The simulations show the development of the disease under various treatment options, including a baseline case without treatment, cases for each of the three treatments separately, and some combinations of the three treatments. These simulations indicate that combinations of treatments are more effective. However, we do not consider any limitation or incompatibilities of the joint application of the three modalities, that may exist in practice. Once validated in the field, the model can be used to design treatment schedules of combinations of the three modalities for improved outcomes. |
| title | A Mathematical Model for Chemotherapy, Immunotherapy and Virotherapy Treatments of Cancer |
| topic | Other Quantitative Biology 34A12, 37C20, 49K15, 49K40, 92C17, 92C60 |
| url | https://arxiv.org/abs/2602.23488 |