https://repositorio.ufba.br/handle/ri/14657
Tipo: | Artigo de Periódico |
Título: | Persistence and extinction in a mathematical model of cell populations affected by radiation |
Título(s) alternativo(s): | Periodica Mathematica Hungarica |
Autor(es): | Freedman, H. I. Pinho, Suani Tavares Rubim de |
Autor(es): | Freedman, H. I. Pinho, Suani Tavares Rubim de |
Abstract: | 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. |
Palavras-chave: | Cancer treatment modelling Differential equations Periodic Persistence Radiation Stability |
Tipo de Acesso: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14657 |
Data do documento: | 2008 |
Aparece nas coleções: | Artigo Publicado em Periódico (FIS) |
Arquivo | Descrição | Tamanho | Formato | |
---|---|---|---|---|
art%3A10.1007%2Fs10998-008-5025-2.pdf | 772,75 kB | Adobe PDF | Visualizar/Abrir |
Os itens no repositório estão protegidos por copyright, com todos os direitos reservados, salvo quando é indicado o contrário.