On the global dynamics of a model for tumor immunotherapy
Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model wasdeveloped that explored the immune response to tumors that was used to study a special type of treatment[3]. This treatment approach uses elements of the host to boost its immune response in the...
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| Format: | Article |
| Language: | English |
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AIMS Press
2009-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.573 |
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| _version_ | 1832590204760752128 |
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| author | Denise E. Kirschner Alexei Tsygvintsev |
| author_facet | Denise E. Kirschner Alexei Tsygvintsev |
| author_sort | Denise E. Kirschner |
| collection | DOAJ |
| description | Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model wasdeveloped that explored the immune response to tumors that was used to study a special type of treatment[3]. This treatment approach uses elements of the host to boost its immune response in the hopes that the host can clear the tumor. This model was extensively studied using numerical simulation,however no global analytical results were originally presented. In this work we explore the global dynamics to show under what conditionstumor clearance can be achieved. |
| format | Article |
| id | doaj-art-a05d04447f42499ca6f65f26972b0dcb |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-a05d04447f42499ca6f65f26972b0dcb2025-01-24T01:59:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-05-016357358310.3934/mbe.2009.6.573On the global dynamics of a model for tumor immunotherapyDenise E. Kirschner0Alexei Tsygvintsev1Department of Microbiology and Immunology, The University of Michigan Medical School, Ann Arbor, MI 48109-0620Department of Microbiology and Immunology, The University of Michigan Medical School, Ann Arbor, MI 48109-0620Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model wasdeveloped that explored the immune response to tumors that was used to study a special type of treatment[3]. This treatment approach uses elements of the host to boost its immune response in the hopes that the host can clear the tumor. This model was extensively studied using numerical simulation,however no global analytical results were originally presented. In this work we explore the global dynamics to show under what conditionstumor clearance can be achieved.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.573cancerlyapunov functionsimmunotherapydynamical systems. |
| spellingShingle | Denise E. Kirschner Alexei Tsygvintsev On the global dynamics of a model for tumor immunotherapy Mathematical Biosciences and Engineering cancer lyapunov functions immunotherapy dynamical systems. |
| title | On the global dynamics of a model for tumor immunotherapy |
| title_full | On the global dynamics of a model for tumor immunotherapy |
| title_fullStr | On the global dynamics of a model for tumor immunotherapy |
| title_full_unstemmed | On the global dynamics of a model for tumor immunotherapy |
| title_short | On the global dynamics of a model for tumor immunotherapy |
| title_sort | on the global dynamics of a model for tumor immunotherapy |
| topic | cancer lyapunov functions immunotherapy dynamical systems. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.573 |
| work_keys_str_mv | AT deniseekirschner ontheglobaldynamicsofamodelfortumorimmunotherapy AT alexeitsygvintsev ontheglobaldynamicsofamodelfortumorimmunotherapy |