Pharmacokinetics and Pharmacodynamics of β-Lactamase Inhibitors

A Population Pharmacokinetics and Pharmacodynamic Approach To Optimize Tazobactam Activity in Critically Ill Patients

The percentage of the time that the free drug concentration remains above a concentration threshold (%fT > concentration threshold) has frequently been identified to be the optimal pharmacokinetic (PK)-pharmacodynamic (PD) target of interest for tazobactam using in vitro infection models. Similar in vitro models suggested that an 85% fT > concentration threshold of 2 μg/ml for tazobactam is required to demonstrate a 2-log10-unit decrease in the number of CFU per milliliter from that at the baseline at 24 h for high-level β-lactamase-producing Escherichia coli strains. The objective of this study was to characterize the tazobactam concentrations in a cohort of critically ill patients with Gram-negative bacterial infections, determine if traditional dosing regimens achieve a prespecified PK/PD target of an 80% fT > concentration threshold of 2 μg/ml, and propose alternative dosing regimens. Hospitalized critically ill adult patients receiving piperacillin-tazobactam (TZP) for a culture-positive Gram-negative bacterial infection were eligible to consent for study inclusion. Two blood samples were drawn, one during the midpoint of the dosing interval and one at the time of the trough concentration once the patient achieved PK steady state. A population PK model was developed using Phoenix NLME (v8.1) software to characterize the observed concentration-time profile of tazobactam, explore potential covariates to explain the variability in the clearance and volume parameters, and to simulate potential dosing regimens that would achieve the PK/PD target. The PK of tazobactam were adequately described by a one-compartment model with first-order elimination in 18 patients who provided consent. The final model incorporated creatinine clearance as a covariate on clearance. Simulations demonstrated target attainments of less than 50% for tazobactam using traditional dosing regimens (4/0.5 g over 30 min every 6 h). Target attainments of greater than 75% were achieved when using extended infusion times of 4 to 6 h or when administering TZP as a continuous infusion (16/2 g over 24 h). Traditional tazobactam dosing regimens fail to achieve conservative PK/PD targets in critically ill patients. Increases in the tazobactam dose or prolongation of the infusion rate may be warranted to achieve activity against β-lactamase-producing Gram-negative bacteria.

Monte Carlo Simulation Methodologies for β-Lactam/β-Lactamase Inhibitor Combinations: Effect on Probability of Target Attainment Assessments

Monte Carlo simulations (MCSs) are used in antibiotic development to predict the probability of pharmacodynamic target attainment (PTA) for a dosing regimen. However, for β-lactam/β-lactamase inhibitor combinations (BL-BLICs), methods for linking simulated concentration profiles of the β-lactam (BL) and β-lactamase inhibitor (BLI) components are rarely described. Using a previously defined pharmacokinetic model of ceftazidime/avibactam from critically ill patients, we performed four 5000-patient MCSs using different methods of increasing complexity to couple the BL and BLI components and compared PTA for ceftazidime and avibactam targets of >70% fT>MIC and >70% fT>1 mg/L, respectively, at MICs from 1 to 128 mg/L. Method A ignored all covariates and correlations, whereas methods B, C, and D enhanced associations by adding (B) pharmacokinetic parameter correlation within each drug only; (C) pharmacokinetic parameter correlation within each drug and creatinine clearance (CRCL); and (D) pharmacokinetic parameter correlation within each drug, CRCL, and pharmacokinetic parameter correlation between drugs. Method D produced a simulated patient population that best recapitulated the observed relationships between pharmacokinetic parameters in actual patients. Ceftazidime/avibactam PTA at MIC 8 mg/L (the susceptibility break point) and 16 mg/L ranged from 92.4% to 98.3% and 80.2% to 88.4%, respectively. PTA was lowest with method A, whereas PTA estimates were similar for all other methods. Compared with ignoring all pharmacokinetic parameter associations, the inclusion of covariate relationships and parameter correlation between both components of ceftazidime/avibactam leads to fewer patients with discordant pharmacokinetic parameters and results in higher PTA. Consideration of these methodologies should guide future MCS analyses for BL-BLIC.