Time-varying pharmacodynamics in a simple non-integer HIV infection model.

Autor: Pinto CMA; School of Engineering, Polytechnic of Porto, Rua Dr António Bernardino de Almeida, 431, Porto 4249-015, Portugal. Electronic address: cap@isep.ipp.pt., Carvalho ARM; Faculty of Sciences, University of Porto, Rua do Campo Alegre s/n, Porto 4440-452, Portugal., Tavares JN; Faculty of Sciences, University of Porto, Rua do Campo Alegre s/n, Porto 4440-452, Portugal.
Jazyk: angličtina
Zdroj: Mathematical biosciences [Math Biosci] 2019 Jan; Vol. 307, pp. 1-12. Date of Electronic Publication: 2018 Nov 03.
DOI: 10.1016/j.mbs.2018.11.001
Abstrakt: In this paper we study the effect of time-varying drug exposure in the dynamics of a fractional order model for the human immunodeficiency virus infection. We compute the reproduction number of the model and verify the stability of the disease-free equilibrium. The model is simulated for parameters directly modelling the pharmacodynamics of HIV, namely the slope of the dose-response curve, the drug's half-life, and the dosing interval. The later affect in a significant way the infection patterns. The order of the fractional derivative is also a key player of the model, adding more information, which could be useful for a deeper understanding of the pharmacodynamics of HIV, necessary for more accurate therapeutic regimens.
(Copyright © 2018 Elsevier Inc. All rights reserved.)
Databáze: MEDLINE
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