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

Carla M A Pinto; Ana R M Carvalho; João N Tavares

doi:10.1016/j.mbs.2018.11.001

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

Math Biosci. 2019 Jan:307:1-12. doi: 10.1016/j.mbs.2018.11.001. Epub 2018 Nov 3.

Authors

Carla M A Pinto¹, Ana R M Carvalho², João N Tavares²

Affiliations

¹ School of Engineering, Polytechnic of Porto, Rua Dr António Bernardino de Almeida, 431, Porto 4249-015, Portugal. Electronic address: cap@isep.ipp.pt.
² Faculty of Sciences, University of Porto, Rua do Campo Alegre s/n, Porto 4440-452, Portugal.

PMID: 30399368
DOI: 10.1016/j.mbs.2018.11.001

Abstract

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.

Keywords: Fractional model; HIV; Pharmacodynamics; Time-varying drug efficacy.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Anti-HIV Agents / pharmacokinetics*
HIV Infections / drug therapy*
Humans
Models, Biological*

Substances

Anti-HIV Agents