Mathematical model for HIV dynamics in HIV-specific helper cells

In this paper we study a delay mathematical model for the dynamics of HIV in HIV-specific CD4 + T helper cells. We modify the model presented by Roy and Wodarz in 2012, where the HIV dynamics is studied, considering a single CD4 + T cell population. Non-specific helper cells are included as alternative target cell population, to account for macrophages and dendritic cells. In this paper, we include two types of delay: (1) a latent period between the time target cells are contacted by the virus particles and the time the virions enter the cells and; (2) virus production period for new virions to be produced within and released from the infected cells. We compute the reproduction number of the model, R0, and the local stability of the disease free equilibrium and of the endemic equilibrium. We find that for values of R0<1, the model approaches asymptotically the disease free equilibrium. For values of R0>1, the model approximates asymptotically the endemic equilibrium. We observe numerically the phenomenon of backward bifurcation for values of R0⪅1. This statement will be proved in future work. We also vary the values of the latent period and the production period of infected cells and free virus. We conclude that increasing these values translates in a decrease of the reproduction number. Thus, a good strategy to control the HIV virus should focus on drugs to prolong the latent period and/or slow down the virus production. These results suggest that the model is mathematically and epidemiologically well-posed.

A coinfection model for HIV and HCV

We study a mathematical model for the human immunodeficiency virus (HIV) and hepatites C virus (HCV) coinfection. The model predicts four distinct equilibria: the disease free, the HIV endemic, the HCV endemic, and the full endemic equilibria. The local and global stability of the disease free equilibrium was calculated for the full model and the HIV and HCV submodels. We present numerical simulations of the full model where the distinct equilibria can be observed. We show simulations of the qualitative changes of the dynamical behavior of the full model for variation of relevant parameters. From the results of the model, we infer possible measures that could be implemented in order to reduce the number of infected individuals.

Iron Overload Favors the Elimination of Leishmania

Iron plays a central role in host-parasite interactions, since both intervenients need iron for survival and growth, but are sensitive to iron-mediated toxicity. The host’s iron overload is often associated with susceptibility to infection. However, it has been previously reported that iron overload prevented the growth of Leishmania major, an agent of cutaneous leishmaniasis, in BALB/c mice. In order to further clarify the impact of iron modulation on the growth of Leishmania in vivo, we studied the effects of iron supplementation or deprivation on the growth of L. infantum, the causative agent of Mediterranean visceral leishmaniasis, in the mouse model. We found that dietary iron deficiency did not affect the protozoan growth, whereas iron overload decreased its replication in the liver and spleen of a susceptible mouse strain. The fact that the iron-induced inhibitory effect could not be seen in mice deficient in NADPH dependent oxidase or nitric oxide synthase 2 suggests that iron eliminates L. infantum in vivo through the interaction with reactive oxygen and nitrogen species. Iron overload did not significantly alter the mouse adaptive immune response against L. infantum. Furthermore, the inhibitory action of iron towards L. infantum was also observed, in a dose dependent manner, in axenic cultures of promastigotes and amastigotes. Importantly, high iron concentrations were needed to achieve such effects. In conclusion, externally added iron synergizes with the host’s oxidative mechanisms of defense in eliminating L. infantum from mouse tissues. Additionally, the direct toxicity of iron against Leishmania suggests a potential use of this metal as a therapeutic tool or the further exploration of iron anti-parasitic mechanisms for the design of new drugs.

Effects of treatment, awareness and condom use in a coinfection model for HIV and HCV in MSM

We develop a new a coinfection model for hepatitis C virus (HCV) and the human immunodeficiency virus (HIV). We consider treatment for both diseases, screening, unawareness and awareness of HIV infection, and the use of condoms. We study the local stability of the disease-free equilibria for the full model and for the two submodels (HCV only and HIV only submodels). We sketch bifurcation diagrams for different parameters, such as the probabilities that a contact will result in a HIV or an HCV infection. We present numerical simulations of the full model where the HIV, HCV and double endemic equilibria can be observed. We also show numerically the qualitative changes of the dynamical behavior of the full model for variation of relevant parameters. We extrapolate the results from the model for actual measures that could be implemented in order to reduce the number of infected individuals.

Análise das determinantes da e-lealdade no comércio eletrónico

Objetivo – O objetivo deste trabalho é analisar e medir os determinantes da e-lealdade de um cliente no comércio eletrónico em Portugal. Metodologia – Foi realizado um estudo quantitativo empírico confirmatório e explicativo, a partir da identificação de um modelo teórico, suportado pelo levantamento bibliográfico sobre variáveis latentes, suscetível de investigar as relações entre os determinantes da e-lealdade. Os dados foram recolhidos através de um instrumento de medida, disponível online, o qual, permitiu obter uma amostra válida de 394 respondentes. As hipóteses foram testadas através de um modelo de equações estruturais. Resultados e conclusões – Estudaram-se e comprovaram-se a maioria das relações previstas e hipóteses, nomeadamente, a relação positiva das várias dimensões da e-confiança, e-satisfação e da e-qualidade de serviço na e-lealdade. A e-satisfação e a e-qualidade de serviço apresentam, também, um contributo interessante para a e-confiança que os consumidores têm nos produtos/serviços online. Quanto à e-satisfação dos consumidores foi possível verificar que a mesma apresenta uma variação, de acordo com a e-qualidade de serviço e a e-confiança, por parte dos consumidores online. Foi cumprida a validade convergente e discriminante das escalas de medida e a boa qualidade psicométrica das variáveis. Estas evidenciaram bons níveis de correlação e capacidades preditivas. Limitações/implicações – Os resultados obtidos precisam ser analisados com toda a precaução, não podendo ser objeto de generalizações, face ao uso de uma amostra de conveniência. O facto de os inquiridos avaliarem um website que estão já familiarizados pode constituir uma outra limitação. A ausência de estudos nacionais homólogos teve algumas implicações na discussão dos resultados. Originalidade/valor – O principal contributo deste estudo é constituir o primeiro realizado em Portugal, à data, onde se investigou e estimou um modelo proposto sobre os determinantes e antecedentes da e-lealdade no comércio eletrónico.