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Antimicrob. Agents Chemother. doi:10.1128/AAC.00604-06
Copyright (c) 2006, American Society for Microbiology and/or the Listed Authors/Institutions. All Rights Reserved.

A Semi-Mechanistic Pharmacokinetic/Pharmacodynamic Model for the Assessment of Activity of Antibacterial Agents from Time-Kill Curve Experiments

Elisabet I Nielsen*, Anders Viberg, Elisabeth Löwdin, Otto Cars, Mats O Karlsson, and Marie Sandström

Division of Pharmacokinetics and Drug Therapy, Department of Pharmaceutical Biosciences, Uppsala University, Uppsala, Sweden; Hospital Pharmacy, University Hospital, Uppsala, Sweden; Department of Infectious Diseases, University Hospital, Uppsala, Sweden

* To whom correspondence should be addressed. Email: elisabet.nielsen{at}farmbio.uu.se,


   Abstract

Dosing of antibacterial agents is generally based on point estimates of the effect even though bacteria exposed to antibiotics shows a complex kinetic behaviour. More advantageous would be to use the whole time course of observed effects. The aim of the present study was to develop a semi-mechanistic pharmacokinetic-pharmacodynamic model characterizing the events seen in a bacterial system when exposed to antibacterial agents with different mechanism of action. Time-kill curve experiments were performed with a strain of Streptococcus pyogenes exposed to a wide range of concentrations of the following antibiotics; benzylpenicillin, cefuroxime, erythromycin, moxifloxacin and vancomycin. Bacterial counts were followed with frequent sampling during the experiment. A simultaneous fit of all data was accomplished. Degradation of the drugs were monitored and corrected for in the model and a link model was used to account for an effect delay. In the final PK/PD model the total bacterial population was divided into two subpopulations, one growing drug-susceptible population and one resting insusceptible population. The drug effect was included as an increase of the killing rate of bacteria being in the susceptible state according to an Emax model. An internal model validation showed the model to be robust and to have good predictability. In conclusion, for all drugs, the final PK/PD model successfully described the bacterial growth and kill kinetics when exposed to different antibiotic concentrations. The developed semi-mechanistic model might after further refinement serve as a tool in the development of optimal dosing strategies for antibacterial agents.




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