A chemotherapy model for the treatment of cancer with metastasis
Autor(a) principal: | |
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Data de Publicação: | 2002 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFBA |
Texto Completo: | http://www.repositorio.ufba.br/ri/handle/ri/7442 |
Resumo: | Texto completo: acesso restrito. p. 773-803 |
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Pinho, Suani Tavares Rubim deFreedman, H. I.Nani, F.Pinho, Suani Tavares Rubim deFreedman, H. I.Nani, F.2012-12-12T11:47:29Z2002-110895-7177http://www.repositorio.ufba.br/ri/handle/ri/7442v. 36, n. 7-8Texto completo: acesso restrito. p. 773-803In this paper, we propose and analyse a mathematical model of cancer treatment by chemotherapy where there is metastasis from a primary to a secondary site by the cancer cells. We view the interactions between normal and cancer cells as being competitive for available resources, and we think of the chemotherapy agent as a predator on both normal and cancer cells. The metastasis may be time delayed. The analysis is carried out both analytically (where possible) and numerically. In particular, we look at the existence and stability of equilibria of our model, which consists of six differential equations. As well, we investigate (numerically) the behavior of solutions for various values of the parameters.Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2012-12-12T11:47:29Z No. of bitstreams: 1 1-s2.0-S0895717702002273-main.pdf: 3087586 bytes, checksum: ab940c0ba1c57b163cb27c16f0b8a5ee (MD5)Made available in DSpace on 2012-12-12T11:47:29Z (GMT). No. of bitstreams: 1 1-s2.0-S0895717702002273-main.pdf: 3087586 bytes, checksum: ab940c0ba1c57b163cb27c16f0b8a5ee (MD5) Previous issue date: 2002-11http://dx.doi.org/10.1016/S0895-7177(02)00227-3reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBACompetition modelsChemotherapyMetastasis; StabilityTime delayA chemotherapy model for the treatment of cancer with metastasisMathematical and Computer Modellinginfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINAL1-s2.0-S0895717702002273-main.pdf1-s2.0-S0895717702002273-main.pdfapplication/pdf3087586https://repositorio.ufba.br/bitstream/ri/7442/1/1-s2.0-S0895717702002273-main.pdfab940c0ba1c57b163cb27c16f0b8a5eeMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/7442/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT1-s2.0-S0895717702002273-main.pdf.txt1-s2.0-S0895717702002273-main.pdf.txtExtracted texttext/plain0https://repositorio.ufba.br/bitstream/ri/7442/3/1-s2.0-S0895717702002273-main.pdf.txtd41d8cd98f00b204e9800998ecf8427eMD53ri/74422022-07-05 14:03:48.694oai: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 |
A chemotherapy model for the treatment of cancer with metastasis |
dc.title.alternative.pt_BR.fl_str_mv |
Mathematical and Computer Modelling |
title |
A chemotherapy model for the treatment of cancer with metastasis |
spellingShingle |
A chemotherapy model for the treatment of cancer with metastasis Pinho, Suani Tavares Rubim de Competition models Chemotherapy Metastasis; Stability Time delay |
title_short |
A chemotherapy model for the treatment of cancer with metastasis |
title_full |
A chemotherapy model for the treatment of cancer with metastasis |
title_fullStr |
A chemotherapy model for the treatment of cancer with metastasis |
title_full_unstemmed |
A chemotherapy model for the treatment of cancer with metastasis |
title_sort |
A chemotherapy model for the treatment of cancer with metastasis |
author |
Pinho, Suani Tavares Rubim de |
author_facet |
Pinho, Suani Tavares Rubim de Freedman, H. I. Nani, F. |
author_role |
author |
author2 |
Freedman, H. I. Nani, F. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Pinho, Suani Tavares Rubim de Freedman, H. I. Nani, F. Pinho, Suani Tavares Rubim de Freedman, H. I. Nani, F. |
dc.subject.por.fl_str_mv |
Competition models Chemotherapy Metastasis; Stability Time delay |
topic |
Competition models Chemotherapy Metastasis; Stability Time delay |
description |
Texto completo: acesso restrito. p. 773-803 |
publishDate |
2002 |
dc.date.issued.fl_str_mv |
2002-11 |
dc.date.accessioned.fl_str_mv |
2012-12-12T11:47:29Z |
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://www.repositorio.ufba.br/ri/handle/ri/7442 |
dc.identifier.issn.none.fl_str_mv |
0895-7177 |
dc.identifier.number.pt_BR.fl_str_mv |
v. 36, n. 7-8 |
identifier_str_mv |
0895-7177 v. 36, n. 7-8 |
url |
http://www.repositorio.ufba.br/ri/handle/ri/7442 |
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/10.1016/S0895-7177(02)00227-3 |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFBA instname:Universidade Federal da Bahia (UFBA) instacron:UFBA |
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Universidade Federal da Bahia (UFBA) |
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UFBA |
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UFBA |
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Repositório Institucional da UFBA |
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