A model of partial differential equations for HIV propagation in lymph nodes

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 2012
Outros Autores: Marinho, E. B. S., Bacelar, F. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/5297
Resumo: texto completo: acesso restrito. p. 132–141
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spelling Andrade, Roberto Fernandes SilvaMarinho, E. B. S.Bacelar, F. S.Andrade, Roberto Fernandes SilvaMarinho, E. B. S.Bacelar, F. S.2012-02-03T19:01:12Z20120378-4371http://www.repositorio.ufba.br/ri/handle/ri/5297v. 391.texto completo: acesso restrito. p. 132–141A system of partial differential equations is used to model the dissemination of the Human Immunodeficiency Virus (HIV) in CD4+T cells within lymph nodes. Besides diffusion terms, the model also includes a time-delay dependence to describe the time lag required by the immunologic system to provide defenses to new virus strains. The resulting dynamics strongly depends on the properties of the invariant sets of the model, consisting of three fixed points related to the time independent and spatial homogeneous tissue configurations in healthy and infected states. A region in the parameter space is considered, for which the time dependence of the space averaged model variables follows the clinical pattern reported for infected patients: a short scale primary infection, followed by a long latency period of almost complete recovery and third phase characterized by damped oscillations around a value with large HIV counting. Depending on the value of the diffusion coefficient, the latency time increases with respect to that one obtained for the space homogeneous version of the model. It is found that same initial conditions lead to quite different spatial patterns, which depend strongly on the latency interval.Submitted by Ana Valéria de Jesus Moura (anavaleria_131@hotmail.com) on 2012-02-03T19:01:12Z No. of bitstreams: 1 A model of partial differential equations for HIV propagation.pdf: 774672 bytes, checksum: 88c7db9285e53ccb8a9023bf22a97f39 (MD5)Made available in DSpace on 2012-02-03T19:01:12Z (GMT). No. of bitstreams: 1 A model of partial differential equations for HIV propagation.pdf: 774672 bytes, checksum: 88c7db9285e53ccb8a9023bf22a97f39 (MD5) Previous issue date: 2012Partial differential equationHIV infectionPattern formationA model of partial differential equations for HIV propagation in lymph nodesPhysica A: Statistical Mechanics and its Applicationsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01engreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAinfo:eu-repo/semantics/openAccessORIGINALA model of partial differential equations for HIV propagation.pdfA model of partial differential equations for HIV propagation.pdfapplication/pdf774672https://repositorio.ufba.br/bitstream/ri/5297/1/A%20model%20of%20partial%20differential%20equations%20for%20HIV%20propagation.pdf88c7db9285e53ccb8a9023bf22a97f39MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/5297/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXTA model of partial differential equations for HIV propagation.pdf.txtA model of partial differential equations for HIV propagation.pdf.txtExtracted texttext/plain43622https://repositorio.ufba.br/bitstream/ri/5297/3/A%20model%20of%20partial%20differential%20equations%20for%20HIV%20propagation.pdf.txt4e8d2ea8d86b6d6b177b25143984a088MD53ri/52972022-07-05 14:03:48.44oai: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 model of partial differential equations for HIV propagation in lymph nodes
dc.title.alternative.pt_BR.fl_str_mv Physica A: Statistical Mechanics and its Applications
title A model of partial differential equations for HIV propagation in lymph nodes
spellingShingle A model of partial differential equations for HIV propagation in lymph nodes
Andrade, Roberto Fernandes Silva
Partial differential equation
HIV infection
Pattern formation
title_short A model of partial differential equations for HIV propagation in lymph nodes
title_full A model of partial differential equations for HIV propagation in lymph nodes
title_fullStr A model of partial differential equations for HIV propagation in lymph nodes
title_full_unstemmed A model of partial differential equations for HIV propagation in lymph nodes
title_sort A model of partial differential equations for HIV propagation in lymph nodes
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
Marinho, E. B. S.
Bacelar, F. S.
author_role author
author2 Marinho, E. B. S.
Bacelar, F. S.
author2_role author
author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Marinho, E. B. S.
Bacelar, F. S.
Andrade, Roberto Fernandes Silva
Marinho, E. B. S.
Bacelar, F. S.
dc.subject.por.fl_str_mv Partial differential equation
HIV infection
Pattern formation
topic Partial differential equation
HIV infection
Pattern formation
description texto completo: acesso restrito. p. 132–141
publishDate 2012
dc.date.accessioned.fl_str_mv 2012-02-03T19:01:12Z
dc.date.issued.fl_str_mv 2012
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/5297
dc.identifier.issn.none.fl_str_mv 0378-4371
dc.identifier.number.pt_BR.fl_str_mv v. 391.
identifier_str_mv 0378-4371
v. 391.
url http://www.repositorio.ufba.br/ri/handle/ri/5297
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.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
instacron:UFBA
instname_str Universidade Federal da Bahia (UFBA)
instacron_str UFBA
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