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https://repositorio.ufba.br/handle/ri/14657
metadata.dc.type: | Artigo de Periódico |
Título : | Persistence and extinction in a mathematical model of cell populations affected by radiation |
Otros títulos : | Periodica Mathematica Hungarica |
Autor : | Freedman, H. I. Pinho, Suani Tavares Rubim de |
metadata.dc.creator: | Freedman, H. I. Pinho, Suani Tavares Rubim de |
Resumen : | A mathematical model consisting of a system of two ordinary differential equations is formulated to represent the interrelationship between healthy and radiated cells at a given cite. Three different modes of radiation are considered: constant, decaying, and periodic radiation. For the constant case, precise criteria for persistence and extinction are obtained. In the decaying case, it is shown that the radiated cells always become extinct. Finally in the periodic case, criteria are obtained for a perturbed positive periodic solution. |
Palabras clave : | Cancer treatment modelling Differential equations Periodic Persistence Radiation Stability |
metadata.dc.rights: | Acesso Aberto |
URI : | http://repositorio.ufba.br/ri/handle/ri/14657 |
Fecha de publicación : | 2008 |
Aparece en las colecciones: | Artigo Publicado em Periódico (FIS) |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
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art%3A10.1007%2Fs10998-008-5025-2.pdf | 772,75 kB | Adobe PDF | Visualizar/Abrir |
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