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Antimicrobial Agents and Chemotherapy, August 2006, p. 2626-2631, Vol. 50, No. 8
0066-4804/06/$08.00+0 doi:10.1128/AAC.01165-05
Copyright © 2006, American Society for Microbiology. All Rights Reserved.
University of Houston College of Pharmacy, Houston, Texas
Received 6 September 2005/ Returned for modification 4 December 2005/ Accepted 31 May 2006
| ABSTRACT |
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| INTRODUCTION |
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10) within 48 h of therapy is associated with an early therapeutic response (12). Since the likelihood of aminoglycoside-induced nephrotoxicity is believed to be dependent on the cumulative drug exposure and/or concentration above a certain threshold (8, 17, 20, 24), achieving a pharmacodynamic target early may shorten the duration of therapy and thus reduce the likelihood of drug-induced adverse effects. Consequently, once-daily (or extended-interval) administration of aminoglycosides has been widely adopted in many hospitals in the United States (4). While the approach is intuitive and consistent with pharmacodynamic principles, limited data are available to describe the pharmacodynamic activity of aminoglycosides against gram-positive bacteria (e.g., Staphylococcus aureus, viridans group streptococci, and Enterococcus spp.). Questions remain if the same dosing strategy should be used for severe infection with gram-positive bacteria (e.g., endocarditis), and evaluation of bacterial killing with various aminoglycoside exposures is essential to optimize dosing strategies in the clinical setting. We explored the impact of increasing gentamicin concentrations and various dosing regimens on the drug's activity against different bacteria. The objective of the study was to compare the in vitro pharmacodynamics of gentamicin against S. aureus and Pseudomonas aeruginosa.
(This study was presented in part at the Interscience Conference on Antimicrobial Agents and Chemotherapy, Washington, D.C., December 16 to 19, 2005.)
| MATERIALS AND METHODS |
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Microorganisms. Five strains of S. aureus were examined. Standard wild-type strain ATCC 29213 (American Type Culture Collection, Manassas, VA) and four clinical isolates (two oxacillin susceptible [strains 55 and 60] and two oxacillin resistant [strains 25 and 62]) were used. All clinical isolates of S. aureus used were wild type and were found to be clonally unrelated, as determined by randomly amplified polymorphic DNA testing (19). P. aeruginosa ATCC 27853 was used for comparison. The bacteria were stored at 70°C in Protect (Key Scientific Products, Round Rock, TX) storage vials. Fresh isolates were subcultured twice on 5% blood agar plates (Hardy Diagnostics, Santa Maria, CA) for 24 h at 35°C prior to each experiment.
Susceptibility studies and mutation frequencies.
Gentamicin MICs/minimum bactericidal concentrations (MBCs) were determined for all bacterial strains in Ca-MHB using a modified broth macrodilution method, as described by CLSI (formerly NCCLS) (18). The final concentration of bacteria in each broth macrodilution tube was approximately 5 x 105 CFU/ml of Ca-MHB. Serial twofold dilutions of drugs were used. The MIC was defined as the lowest concentration of drug that resulted in no visible growth after 24 h (instead of 16 to 18 h, as recommended by CLSI) of incubation at 35°C in ambient air. Samples (50 µl) from clear tubes and the cloudy tube with the highest drug concentration were plated on Mueller-Hinton agar (MHA) plates (Hardy Diagnostics, Santa Maria, CA). The MBC was defined as the lowest concentration of drug that resulted in
99.9% killing of the initial inoculum. The drug carryover effect was assessed by visual inspection of the distribution of colonies on medium plates. The studies were conducted in duplicate and repeated at least once on a separate day. Mutation frequency of resistance for each isolate was determined by plating approximately 1 x 107 CFU/ml (200 µl) of bacteria on MHA plates with and without gentamicin supplementation at 3 times the MIC. Since susceptibility testing was performed in twofold dilutions and one tube (2x concentration) difference is commonly accepted as reasonable interday variation, quantitative cultures on drug-supplemented medium plates (at 3 times the MIC) would allow reliable detection of bacterial subpopulations with reduced susceptibility. The medium plates were incubated at 35°C for up to 24 (total population) and 72 h (subpopulations with reduced susceptibility), and then bacterial density from each sample was estimated as described below.
Time-kill studies. Time-kill studies were conducted in duplicate on separate days with different and escalating gentamicin concentrations. Six clinically achievable concentrations of gentamicin were used, normalized to 0 (control), 0.5, 1, 2, 4, 8 and 16 times the MIC. An overnight culture of the isolate was diluted 30-fold with prewarmed Ca-MHB and incubated further at 35°C until reaching late-log-phase growth. The bacterial suspension was diluted with Ca-MHB accordingly based on absorbance at 630 nm; 15 ml of the suspension was transferred to 50-ml sterile conical flasks, each containing 1 ml of a drug solution at 16 times the target concentration. The final concentration of the bacterial suspension in each flask was approximately 1 x 107 CFU/ml. The high inoculum used was to simulate the bacterial load in severe infection and to allow a resistant subpopulation(s) to be present at baseline. The experiment was conducted for 24 h in a shaker water bath set at 35°C.
Serial samples were obtained from each flask at baseline (placebo only) and at 2, 4, 8, 12, and 24 h to characterize the effect of various gentamicin exposures on the total bacterial population. Prior to culturing the bacteria quantitatively, the bacterial samples (0.5 ml) were centrifuged at 10,000 x g for 15 min and reconstituted with sterile normal saline to their original volumes in order to minimize the drug carryover effect. Total bacterial populations were quantified by spiral plating 10-fold serial dilutions of the samples (50 µl) onto MHA plates. The medium plates were incubated in a humidified incubator (35°C) for 18 to 24 h, and the bacterial density from each sample was determined by CASBA-4 colony scanner/software (Spiral Biotech, Bethesda, MD). The theoretical lower limit of detection was 400 CFU/ml.
Pharmacodynamic modeling.
To provide quantitative comparison of the bactericidal activity of gentamicin against different bacteria, the time courses (data from the time-kill studies) of all bacterial strains were mathematically modeled as described previously (22). The mathematical structure of the growth dynamics model is as follows. The rate of change of bacteria over time, dN(t)/dt, was expressed as the difference between the intrinsic bacterial growth rate, G[N(t)], and the (sigmoidal) kill rate provided by the antimicrobial agent, K[C(t), N(t)], where G[N(t)] = Kg · [1 N(t)/Nmax] · N(t), K[C(t), N(t)] = {C(t)H · Kk/[C(t)H + (
· C50k)H]} · N(t), and
= 1 + ß[1 ec(t) · t ·
]. In these equations, G is the growth rate function, K is the kill rate function, Kg is the growth rate constant for the bacterial population, N(t) is the concentration of the bacterial population at time t, Nmax is the maximum population size, C(t) is the concentration of gentamicin at time t, Kk is the gentamicin maximal kill rate constant for the bacterial population, C50k is the concentration to achieve 50% of maximal kill rate, H is the sigmoidicity constant for the bacterial population,
is the adaptation function, ß is the maximal adaptation, and
is the rate of adaptation factor. Decline in kill rate over time and regrowth were attributed to adaptation, which was explicitly modeled as the increase in the concentration necessary to achieve C50k, using a saturable function of antimicrobial agent selective pressure (both gentamicin concentration and time).
The modeling estimation process involved two steps. For each bacterium, the intrinsic bacterial growth rate and maximal bacterial population size (to account for contact inhibition) were first determined from placebo (control) experiments, using the ADAPT II program (7). Using these parameter estimates, the parameter values in the kill function were subsequently determined using data from all active treatment experiments simultaneously. An unweighted (least-squares) error structure for the log-transformed data was used.
Hollow-fiber infection model. The schematic of the system has been described previously (1). The drug was directly injected into the central reservoir to achieve the peak concentration desired. Fresh (drug-free) growth medium (Ca-MHB) was infused continuously from the diluent reservoir into the central reservoir (180 ml) to dilute the drug, in order to simulate drug elimination in humans. An equal volume of drug-containing medium was removed from the central reservoir concurrently to maintain an isovolumetric system. Bacteria were inoculated into the extracapillary compartment of the hollow-fiber cartridge (Fibercell Systems, Inc., Frederick, MD); they were confined in the extracapillary compartment but were exposed to the fluctuating drug concentration in the central reservoir by means of an internal circulatory pump in the bioreactor loop. The optional absorption compartment of the system was not used.
Experimental setup. For validation purposes, only the two standard ATCC strains of S. aureus and P. aeruginosa were used. Bacterial inocula (20 ml) were prepared as described above. The experiment was conducted for 5 days in a humidified incubator set at 35°C. The bacteria were subjected to various gentamicin exposures, simulating unbound steady-state pharmacokinetic profiles resulting from two different gentamicin dosing regimens with identical daily doses (once-daily dosing to achieve a peak concentration of 24 µg/ml and 3-times-daily dosing to achieve a peak concentration of 8 µg/ml). A third system was set up as a placebo control. Gentamicin elimination half-lives of 2.5 h were simulated in all systems.
Pharmacokinetic validation. Serial samples were obtained from the infection models on days 0 and 2. Gentamicin concentrations in these samples were assayed by a validated bioassay method as described below. The concentration-time profiles were modeled by fitting a one-compartment linear model to the observations using the ADAPT II program (7).
Bioassay.
Gentamicin concentrations were determined by a microbioassay utilizing Klebsiella pneumoniae ATCC 13883 as the reference organism. The bacteria were incorporated into 30 ml of molten cation-adjusted MHA (at 50°C) to achieve a final concentration of approximately 1 x 105 CFU/ml. The agar was allowed to solidify in 150-mm medium plates. Size 3 cork bore was used to create nine wells in the agar per plate. Standards and samples were tested in duplicate with 40 µl of the appropriate solution in each well. The gentamicin standard solutions ranged from 1 to 32 µg/ml in Ca-MHB. The medium plates were incubated at 35°C for 24 h, and the zones of inhibition were measured. The assay was linear (correlation coefficient
0.99) using zone diameter versus the log of the standard drug concentration. The intraday and interday coefficients of variation for all standards were <4% and <6%, respectively.
Microbiologic response. Serial samples were also obtained at baseline; at 4, 8, and 24 h (predose); and daily thereafter in duplicate from each hollow-fiber system, for quantitative culture to define the effect of various drug exposures on the bacterial population. The samples (0.5 ml) to quantify the bacterial population were processed as described above.
| RESULTS |
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Microbiologic responses in hollow-fiber infection models. The effect of different concentration-time profiles of gentamicin on S. aureus ATCC 29213 and P. aeruginosa ATCC 27853 were as shown in Fig. 4. Against S. aureus, gentamicin dosing given 3 times daily appeared to be more bactericidal compared to once-daily administration, using identical daily doses (Fig. 4A). Both dosing regimens achieved substantial killing (approximately 5-log kill) at 24 h, but regrowth was apparent with repeated dosing over the next 4 days for the once-daily dosing regimen. On the other hand, sustained bacterial suppression over 5 days was observed with the 3-times-daily dosing regimen. This was in contrast to data for P. aeruginosa, in which the dosing schedule did not appear to have a significant impact on the killing activity of gentamicin. As long as the daily dose remained identical, the time courses of bacterial burden over 5 days were similar, regardless whether the entire daily dose was given all at once or over three doses (Fig. 4B).
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| DISCUSSION |
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Our data revealed that the killing profiles of gentamicin against S. aureus and P. aeruginosa were different. First, in time-kill studies, the killing profiles of gentamicin against different strains of S. aureus were comparable but different from that observed with P. aeruginosa. The often-cited concentration-dependent killing was observed only in P. aeruginosa, not in S. aureus, over the (clinically relevant) concentration range examined. In addition to comparing the killing profiles against different bacteria qualitatively (visually), we modeled the experimental data mathematically in order to provide an objective and quantitative evaluation. The merits of our mathematical modeling approach over conventional pharmacodynamic modeling have been discussed previously (22). While the adherence of bacteria to the surface of the conical flasks was not considered in the evaluation of these in vitro experiments, the interpretation of the modeling results was consistent with the observations. We recognized that all S. aureus strains examined in the study had similar susceptibilities to gentamicin (0.5 to 1 µg/ml); using isolates with a broader range of susceptibility to gentamicin might have further enhanced the generalizability of our findings.
Since the drug concentrations in time-kill studies are static (constant over time), we felt that the clinical relevance of the results might not be very evident. Therefore, a hollow-fiber infection model (in which drug concentration fluctuates over time, resembling human elimination and repeated dosing) was used to provide further clinical insights of our findings. In the hollow-fiber infection models, the impact of dosing schedules of gentamicin on the bacteria was somewhat dramatic. Based on the modeling analysis, the killing activity of gentamicin against S. aureus began to plateau at 4 to 8 times the MIC (Fig. 3A). Consequently, high peak concentrations (beyond 8 times the MIC) resulting from once-daily administration would be unlikely to result in a substantial increase in bacterial killing. Coupled with a prolonged period in which drug concentration was negligible, once-daily dosing might not suppress/eradicate the bacteria as readily as a regimen with more frequent dosing. On the other hand, we found a concentration-dependent effect of gentamicin in suppressing regrowth of P. aeruginosa (up to at least 32 times the MIC, as shown in Fig. 3B). An enhanced bacterial killing rate against the resistant subpopulation was anticipated from high peak concentrations (approximately 12 times the MIC) associated with once-daily administration, which was offset by a prolonged period in which drug concentration was negligible (minimal killing). Therefore the overall extents of killing were comparable regardless of the dosing schedules (once versus thrice daily) as long as the total daily doses (drug exposure) remained identical. These observations from the hollow-fiber infection models were again consistent with our expectations and previous studies (2, 11). We verified the simulated gentamicin exposures were reasonable in the hollow-fiber infection models, but the mechanism of regrowth was not explicitly investigated. From the modeling perspective, regrowth after initial decline of the bacterial population was empirically attributed to adaptation in this study. Under antimicrobial selective pressure, a preexisting resistant subpopulation gradually replaced the entire population as the dominant clone over time; regrowth and the emergence of resistance were observed as a result. Furthermore, as long as the relationship between drug concentration and bactericidal activity is not saturable (concentration-dependent killing), the AUC/MIC ratio (primarily determined by the daily dose, regardless of dosing schedule) would be closely related to the cumulative killing over time. The postantibiotic effect of gentamicin was not specifically investigated in this study, in view of the doubtful clinical relevance reported in previous studies (9, 10).
In contrast to our data, in a recent in vitro study, the activities of gentamicin given once and 3 times daily against S. aureus in simulated endocardial vegetations were investigated in combination with daptomycin and vancomycin (23). The authors concluded that gentamicin given as a single large dose was superior to three smaller doses in combination with daptomycin or vancomycin. The experimental design of this study and our study differed in several ways, which prohibited direct comparison of the findings. Firstly, the bactericidal activity of gentamicin was examined in combination with other agents (daptomycin and vancomycin); therefore the pharmacodynamics of gentamicin might have been confounded by interaction (e.g., synergy or antagonism) with these agents used concurrently. Secondly, a simulated-infected-endocardial-vegetation model was used in the previous study (23); the observed killing in these simulated fibrin clots was (at least partially) dependent on the penetration (concentration achieved) of the antimicrobial agents inside the vegetations. Finally, the previous study was not strictly a dose fractionation study, as we have conducted. The total daily doses of gentamicin were not identical in the once-daily (simulating a human equivalent dose of 5 mg/kg of body weight every 24 h) and 3-times-daily (simulating a human equivalent dose of 1 mg/kg every 8 h) regimens. Therefore, the overall levels of killing by gentamicin might be expected to be different. In view of these differences, the pharmacodynamics of gentamicin against S. aureus might not have been interpreted concordantly by the two groups.
In conclusion, we found that gentamicin exhibited distinct killing profiles against S. aureus and P. aeruginosa. The well-accepted concentration-dependent bactericidal activity of the aminoglycosides may not be applicable against all bacteria. These results may guide optimal dosing strategies of gentamicin in staphylococcal infections and warrant further investigations.
| ACKNOWLEDGMENTS |
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| FOOTNOTES |
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Supplemental material for this article may be found at http://aac.asm.org/. ![]()
| REFERENCES |
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