Study of the dynamics of HIV under treatment considering fuzzy delay

dc.creatorJafelice, RM
dc.creatorBarros, LC
dc.creatorBassanezi, RC
dc.date2014
dc.dateAPR
dc.date2014-07-31T14:18:54Z
dc.date2015-11-26T16:34:42Z
dc.date2014-07-31T14:18:54Z
dc.date2015-11-26T16:34:42Z
dc.date.accessioned2018-03-28T23:16:59Z
dc.date.available2018-03-28T23:16:59Z
dc.identifierComputational & Applied Mathematics. Springer Heidelberg, v. 33, n. 1, n. 45, n. 61, 2014.
dc.identifier1807-0302
dc.identifierWOS:000334173900004
dc.identifier10.1007/s40314-013-0042-6
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/75317
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/75317
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1271275
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionThis article describes a study of the decay dynamics of the HIV (human immunodeficiency virus) population in blood plasma in response to antiretroviral therapy of HIV-positive individuals by means of a system of delay differential equations. This delay is defined as the time elapsed between the infection of a cell by the CD4+ type T lymphocyte and the production of new virus particles. The delay is considered uncertain due the differences in the cell activation state. To study the relationship between the rate of decline in the plasma virus concentration () and the intracellular delay (), we used a fuzzy rule-based system in Jafelice et al. (Bull Math Biol 66:1463-1942, 2004). Two inference methods were adopted: Mamdani and Takagi-Sugeno. The HIV decay curve, which is the solution of a system of differential equations with fuzzy distributed delay, is determined by means of Zadeh's extension principle. Finally, centroid defuzzification is used to determine a fuzzy expected HIV decay curve. The defuzzified curve that was obtained using Takagi-Sugeno method is closer to the deterministic solution than the one obtained using Mamdani method.
dc.description33
dc.description1
dc.description45
dc.description61
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionBrazilian National Research Council [306872/2009-9]
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionCNPq [477918/2010-7]
dc.descriptionBrazilian National Research Council [306872/2009-9]
dc.languageen
dc.publisherSpringer Heidelberg
dc.publisherHeidelberg
dc.publisherAlemanha
dc.relationComputational & Applied Mathematics
dc.relationComput. Appl. Math.
dc.rightsaberto
dc.rightshttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dc.sourceWeb of Science
dc.subjectDelay differential equation
dc.subjectHIV dynamics
dc.subjectFuzzy delay
dc.subjectMamdani inference
dc.subjectmethod
dc.subjectTakagi-Sugeno inference method
dc.subjectIntracellular Delay
dc.subjectViral Dynamics
dc.subjectDecay
dc.titleStudy of the dynamics of HIV under treatment considering fuzzy delay
dc.typeArtículos de revistas


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