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

• Type: Article in International Scientific Journal
• Date: 2019-01-01

Authors

João Tavares (Author) FCUP; Carla Pinto (Author) Other

Journal

Title: Mathematical Biosciences

Vol. 307

Pages: 1-12

ISSN: 0025-5564

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 0 Citations

Other information

Authenticus ID: P-00P-W52

DOI: 10.1016/j.mbs.2018.11.001

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12