A therapy inactivating the tumor angiogenic factors
This paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy based on an agent that binds to the tumor angiogenic factors. The main feature of the model under consideration is a nonlinear flux production of tumor angiogenic factors...
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| Format: | Article |
| Language: | English |
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AIMS Press
2012-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.185 |
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| _version_ | 1832590146620358656 |
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| author | Cristian Morales-Rodrigo |
| author_facet | Cristian Morales-Rodrigo |
| author_sort | Cristian Morales-Rodrigo |
| collection | DOAJ |
| description | This paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy based on an agent that binds to the tumor angiogenic factors. The main feature of the model under consideration is a nonlinear flux production of tumor angiogenic factors at the boundary of the tumor. It is proved the global existence for the nonlinear system and the effect in the large time behavior of the system for high doses of the therapeutic agent. |
| format | Article |
| id | doaj-art-c239c6b3c9054245b80cedd81e472bfc |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2012-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c239c6b3c9054245b80cedd81e472bfc2025-01-24T02:25:25ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-11-0110118519810.3934/mbe.2013.10.185A therapy inactivating the tumor angiogenic factorsCristian Morales-Rodrigo0Departamento de Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Universidad de Sevilla, Calle Tara s/n, 41012-SevilleThis paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy based on an agent that binds to the tumor angiogenic factors. The main feature of the model under consideration is a nonlinear flux production of tumor angiogenic factors at the boundary of the tumor. It is proved the global existence for the nonlinear system and the effect in the large time behavior of the system for high doses of the therapeutic agent.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.185chemotaxisanti-angiogenic therapy. |
| spellingShingle | Cristian Morales-Rodrigo A therapy inactivating the tumor angiogenic factors Mathematical Biosciences and Engineering chemotaxis anti-angiogenic therapy. |
| title | A therapy inactivating the tumor angiogenic factors |
| title_full | A therapy inactivating the tumor angiogenic factors |
| title_fullStr | A therapy inactivating the tumor angiogenic factors |
| title_full_unstemmed | A therapy inactivating the tumor angiogenic factors |
| title_short | A therapy inactivating the tumor angiogenic factors |
| title_sort | therapy inactivating the tumor angiogenic factors |
| topic | chemotaxis anti-angiogenic therapy. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.185 |
| work_keys_str_mv | AT cristianmoralesrodrigo atherapyinactivatingthetumorangiogenicfactors AT cristianmoralesrodrigo therapyinactivatingthetumorangiogenicfactors |