Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System
We discuss biological background and mathematical analysis of glioma gene therapy for contributing to cancer treatment. By a reaction-diffusion system, we model interactions between gliom cells and viruses. We establish some sufficient conditions on model parameters which guarantee the permanence of...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/590326 |
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| _version_ | 1832562744768856064 |
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| author | Baba Issa Camara Houda Mokrani |
| author_facet | Baba Issa Camara Houda Mokrani |
| author_sort | Baba Issa Camara |
| collection | DOAJ |
| description | We discuss biological background and mathematical analysis of glioma gene therapy for contributing to cancer treatment. By a reaction-diffusion system, we model interactions between gliom cells and viruses. We establish some sufficient conditions on model parameters which guarantee the permanence of the system and the existence of periodic solutions. Our study has experimental and theoretical implication in the perspective management strategy of therapy. |
| format | Article |
| id | doaj-art-77beb5c0d0fd4f9e92af86ed0dd122ac |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-77beb5c0d0fd4f9e92af86ed0dd122ac2025-02-03T01:21:58ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/590326590326Analysis of Wave Solutions of an Adhenovirus-Tumor Cell SystemBaba Issa Camara0Houda Mokrani1Laboratoire des Interactions Ecotoxicologie, Biodiversité, Ecosystèmes, Université de Lorraine, CNRS UMR 7146, 8 rue du Général Delestraint, 57070 METZ, FranceLaboratoire de Mathématiques Raphaël Salem, Université de Rouen, UMR 6085 CNRS, Avenue de l'Université, P.O. Box 12, 76801 Saint Etienne du Rouvray, FranceWe discuss biological background and mathematical analysis of glioma gene therapy for contributing to cancer treatment. By a reaction-diffusion system, we model interactions between gliom cells and viruses. We establish some sufficient conditions on model parameters which guarantee the permanence of the system and the existence of periodic solutions. Our study has experimental and theoretical implication in the perspective management strategy of therapy.http://dx.doi.org/10.1155/2012/590326 |
| spellingShingle | Baba Issa Camara Houda Mokrani Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System Abstract and Applied Analysis |
| title | Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System |
| title_full | Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System |
| title_fullStr | Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System |
| title_full_unstemmed | Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System |
| title_short | Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System |
| title_sort | analysis of wave solutions of an adhenovirus tumor cell system |
| url | http://dx.doi.org/10.1155/2012/590326 |
| work_keys_str_mv | AT babaissacamara analysisofwavesolutionsofanadhenovirustumorcellsystem AT houdamokrani analysisofwavesolutionsofanadhenovirustumorcellsystem |