Persistence and extinction in a mathematical model of cell populations affected by radiation

Detalhes bibliográficos
Autor(a) principal: Freedman, H. I.
Data de Publicação: 2008
Outros Autores: Pinho, Suani Tavares Rubim de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14657
Resumo: Texto completo: acesso restrito. p. 25-35
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spelling Freedman, H. I.Pinho, Suani Tavares Rubim deFreedman, H. I.Pinho, Suani Tavares Rubim de2014-02-21T18:33:11Z20080031-5303http://repositorio.ufba.br/ri/handle/ri/14657v. 56, n. 1Texto completo: acesso restrito. p. 25-35A 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.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2013-12-16T13:49:44Z No. of bitstreams: 1 art%3A10.1007%2Fs10998-008-5025-2.pdf: 791291 bytes, checksum: 1194e02e8157edcafd08570e20a23da0 (MD5)Approved for entry into archive by Alda Lima da Silva (sivalda@ufba.br) on 2014-02-21T18:33:11Z (GMT) No. of bitstreams: 1 art%3A10.1007%2Fs10998-008-5025-2.pdf: 791291 bytes, checksum: 1194e02e8157edcafd08570e20a23da0 (MD5)Made available in DSpace on 2014-02-21T18:33:11Z (GMT). No. of bitstreams: 1 art%3A10.1007%2Fs10998-008-5025-2.pdf: 791291 bytes, checksum: 1194e02e8157edcafd08570e20a23da0 (MD5) Previous issue date: 2008http://dx.doi.org/10.1007/s10998-008-5025-2reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBACancer treatment modellingDifferential equationsPeriodicPersistenceRadiationStabilityPersistence and extinction in a mathematical model of cell populations affected by radiationPeriodica Mathematica Hungaricainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINALart%3A10.1007%2Fs10998-008-5025-2.pdfart%3A10.1007%2Fs10998-008-5025-2.pdfapplication/pdf791291https://repositorio.ufba.br/bitstream/ri/14657/1/art%253A10.1007%252Fs10998-008-5025-2.pdf1194e02e8157edcafd08570e20a23da0MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14657/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTart%3A10.1007%2Fs10998-008-5025-2.pdf.txtart%3A10.1007%2Fs10998-008-5025-2.pdf.txtExtracted texttext/plain15514https://repositorio.ufba.br/bitstream/ri/14657/3/art%253A10.1007%252Fs10998-008-5025-2.pdf.txte2f52291ee6d226781f61f7de770d9f7MD53ri/146572022-07-05 14:03:48.906oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:48Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Persistence and extinction in a mathematical model of cell populations affected by radiation
dc.title.alternative.pt_BR.fl_str_mv Periodica Mathematica Hungarica
title Persistence and extinction in a mathematical model of cell populations affected by radiation
spellingShingle Persistence and extinction in a mathematical model of cell populations affected by radiation
Freedman, H. I.
Cancer treatment modelling
Differential equations
Periodic
Persistence
Radiation
Stability
title_short Persistence and extinction in a mathematical model of cell populations affected by radiation
title_full Persistence and extinction in a mathematical model of cell populations affected by radiation
title_fullStr Persistence and extinction in a mathematical model of cell populations affected by radiation
title_full_unstemmed Persistence and extinction in a mathematical model of cell populations affected by radiation
title_sort Persistence and extinction in a mathematical model of cell populations affected by radiation
author Freedman, H. I.
author_facet Freedman, H. I.
Pinho, Suani Tavares Rubim de
author_role author
author2 Pinho, Suani Tavares Rubim de
author2_role author
dc.contributor.author.fl_str_mv Freedman, H. I.
Pinho, Suani Tavares Rubim de
Freedman, H. I.
Pinho, Suani Tavares Rubim de
dc.subject.por.fl_str_mv Cancer treatment modelling
Differential equations
Periodic
Persistence
Radiation
Stability
topic Cancer treatment modelling
Differential equations
Periodic
Persistence
Radiation
Stability
description Texto completo: acesso restrito. p. 25-35
publishDate 2008
dc.date.issued.fl_str_mv 2008
dc.date.accessioned.fl_str_mv 2014-02-21T18:33:11Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/14657
dc.identifier.issn.none.fl_str_mv 0031-5303
dc.identifier.number.pt_BR.fl_str_mv v. 56, n. 1
identifier_str_mv 0031-5303
v. 56, n. 1
url http://repositorio.ufba.br/ri/handle/ri/14657
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1007/s10998-008-5025-2
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collection Repositório Institucional da UFBA
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