Modelling Multiple Dosing with Drug Holiday in Antiretroviral Treatment on HIV-1 Infection

Sutimin Sutimin (Department of Mathematics, Diponegoro University, Jl. Prof. H. Soedarto, S.H., Tembalang, Semarang 50275)
Nuning Nuraini (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung, 40132)
Faraimunashe Chirove (School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban 4041)
Lisyani Budipradigda Suromo (Clinical Pathology Department, Faculty of Medicine, Diponegoro University, Jl. Prof. H. Soedarto, S.H., Tembalang, Semarang 50275)

Journal of Mathematical and Fundamental Sciences
Vol. 49 No. 1 (2017)

A within-host mathematical model to describe the dynamics of target cells and viral load in early HIV-1 infection was developed, which incorporates a combination of RTI and PI treatments by using a pharmacokinetics model. The local stability of uninfected steady state for the model was determined using an alternative threshold. The pharmacokinetics model was employed to estimate drug efficacy in multiple drug dosing. The effect of periodic drug efficacy of pharmacokinetic type on outcome of HIV-1 infection was explored under various treatment interruptions. The effectiveness of treatment interruption was determined according to the time period of the drug holidays. The results showed that long drug holidays lead to therapy failure. Under interruption of treatments combining RTI and PI therapy, effectiveness of the treatment requires a short duration of the drug holiday.