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1.
Bull Math Biol ; 86(6): 61, 2024 Apr 25.
Artigo em Inglês | MEDLINE | ID: mdl-38662288

RESUMO

In this paper, we presented a mathematical model for tuberculosis with treatment for latent tuberculosis cases and incorporated social implementations based on the impact they will have on tuberculosis incidence, cure, and recovery. We incorporated two variables containing the accumulated deaths and active cases into the model in order to study the incidence and mortality rate per year with the data reported by the model. Our objective is to study the impact of social program implementations and therapies on latent tuberculosis in particular the use of once-weekly isoniazid-rifapentine for 12 weeks (3HP). The computational experimentation was performed with data from Brazil and for model calibration, we used the Markov Chain Monte Carlo method (MCMC) with a Bayesian approach. We studied the effect of increasing the coverage of social programs, the Bolsa Familia Programme (BFP) and the Family Health Strategy (FHS) and the implementation of the 3HP as a substitution therapy for two rates of diagnosis and treatment of latent at 1% and 5%. Based of the data obtained by the model in the period 2023-2035, the FHS reported better results than BFP in the case of social implementations and 3HP with a higher rate of diagnosis and treatment of latent in the reduction of incidence and mortality rate and in cases and deaths avoided. With the objective of linking the social and biomedical implementations, we constructed two different scenarios with the rate of diagnosis and treatment. We verified with results reported by the model that with the social implementations studied and the 3HP with the highest rate of diagnosis and treatment of latent, the best results were obtained in comparison with the other independent and joint implementations. A reduction of the incidence by 36.54% with respect to the model with the current strategies and coverage was achieved, and a greater number of cases and deaths from tuberculosis was avoided.


Assuntos
Antituberculosos , Teorema de Bayes , Isoniazida , Tuberculose Latente , Cadeias de Markov , Conceitos Matemáticos , Método de Monte Carlo , Rifampina , Humanos , Brasil/epidemiologia , Incidência , Isoniazida/administração & dosagem , Antituberculosos/administração & dosagem , Rifampina/administração & dosagem , Rifampina/análogos & derivados , Rifampina/uso terapêutico , Tuberculose Latente/epidemiologia , Tuberculose Latente/tratamento farmacológico , Tuberculose Latente/mortalidade , Modelos Biológicos , Tuberculose/mortalidade , Tuberculose/epidemiologia , Tuberculose/tratamento farmacológico , Simulação por Computador
2.
Math Med Biol ; 39(2): 169-196, 2022 06 11.
Artigo em Inglês | MEDLINE | ID: mdl-35380162

RESUMO

We propose a mathematical model to study the antibody-dependent enhancement (ADE) phenomenon. Here, we explore the interaction between macrophages, dengue virus and plasma cells, especially the effect of a limitation on plasma cell proliferation, which occurs due to immunological memory. The model has up to three equilibrium points: one virus-free equilibrium and two virus-presence equilibrium, depending on the value of two thresholds. We determine the existence regions for the model equilibrium points and their stability, a sensitivity analysis was performed in the model thresholds. Numerical simulations illustrate that ADE can occur even when the basic reproduction number is less than one.


Assuntos
Coinfecção , Vírus da Dengue , Dengue , Anticorpos Facilitadores , Clonagem Molecular , Humanos , Modelos Teóricos , Plasmócitos
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