Please use this identifier to cite or link to this item:
https://repositorio.ufba.br/handle/ri/14657
metadata.dc.type: | Artigo de Periódico |
Title: | Persistence and extinction in a mathematical model of cell populations affected by radiation |
Other Titles: | Periodica Mathematica Hungarica |
Authors: | Freedman, H. I. Pinho, Suani Tavares Rubim de |
metadata.dc.creator: | 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. |
Keywords: | Cancer treatment modelling Differential equations Periodic Persistence Radiation Stability |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14657 |
Issue Date: | 2008 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
art%3A10.1007%2Fs10998-008-5025-2.pdf | 772,75 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.