A drug pharmacodynamics and pharmacokinetics based approach towards stabilization of HIV infection dynamics

Tretyakova, Rufina M.; Meyerhans, Andreas; Bocharov, Gennady A.

doi:http://dx.doi.org/10.1515/rnam-2015-0027

A drug pharmacodynamics and pharmacokinetics based approach towards stabilization of HIV infection dynamics

Citation

Tretyakova RM, Meyerhans A, Bocharov GA. A drug pharmacodynamics and pharmacokinetics based approach towards stabilization of HIV infection dynamics. Russian Journal of Numerical Analysis and Mathematical Modelling. 2015; 30(3): 299-310. DOI 10.1515/rnam-2015-0027

Abstract

In our study we developed a computational algorithm for finding optimal dosages of antiretroviral drug administration for the stabilization of HIV load at low levels. The novelty is that the pharmacokinetics and pharmacodynamics of the antiretroviral drugs were taken into account. A standard closed-loop control of HIV dynamics was constructed that stabilizes the viral load and the optimal drug administration mode was formulated. We analyze the appropriateness of the ‘drug efficacy’ based control and its relationship to a realistic drug dosage and kinetic models in the human body. The translation of the efficacy function into drug concentration is implemented via the pharmacodynamics model of the drug effect. Optimal approximation of the idealized concentration functions is based on the orthogonal projection on linear subspace of drug pharmacokinetics functions.