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Antimicrobial Agents and Chemotherapy, May 2000, p. 1247-1254, Vol. 44, No. 5
Division of Microbiology, Statens Serum
Institut, Copenhagen, Denmark,1 and
Providence Medical Center, Portland, Oregon2
Received 25 March 1998/Returned for modification 18 September
1998/Accepted 8 February 2000
The emergence of resistance to various antibiotics in pneumococci
leaves the glycopeptides as the only antibiotics against which
pneumococci have no resistance mechanism. This situation has led to a
renewed interest in the use of glycopeptides. It has not yet been
possible to conclude which one or more of the pharmacokinetic or pharmacodynamic (PK/PD) parameters are
the most important and best predictors for the effects of
treatment with glycopeptides in animal models or in humans. We used
the mouse peritonitis model with immunocompetent mice and
with Staphylococcus aureus and Streptococcus
pneumoniae as infective organisms. A wide spectrum of different
treatment regimens with vancomycin and teicoplanin was tested to study
the pharmacodynamics of these drugs. In studies in which the single
dose that protected 50% of lethally infected mice (ED50)
was given as one dose or was divided into two doses, survival was
significantly decreased when the dose was divided. The
only statistically significant correlations between the percentage of
survival of the mice after 6 days and each of the PK/PD parameters were
for peak concentration (Cmax)/MIC and S. aureus and for the free fraction of Cmax
(Cmax-free)/MIC and S. pneumoniae.
For S. pneumoniae, the ED50 for different
dosing regimens increased with the number of doses given; e.g., the
single-dose ED50s for vancomycin and teicoplanin were 0.65 and 0.45 mg/kg, respectively, but the ED50s for dosing
regimens with 2-h doses given for 48 h were 6.79 and 5.67 mg/kg,
respectively. In experiments with 39 different vancomycin dosing
regimens and 40 different teicoplanin dosing regimens against S. pneumoniae, the different PK/PD parameters were analyzed using
logistic regression. The Cmax-free/MIC was one
of two parameters that best explained the effect for both drugs; for
vancomycin, the other important parameter was the AUC/MIC, and
for teicoplanin, the other parameter was the time the free fraction of
the drug is above the MIC. The effect analyzed as a function of
Cmax-free/MIC disclosed thresholds with shifts from almost no effect to full effect at ratios of five to
six for vancomycin and two to three for teicoplanin.
The emergence of resistance in
clinical pneumococcal isolates to the The glycopeptide antibiotics have been used in the treatment of
infections in humans since the introduction of vancomycin in 1956 (6, 10). Beside vancomycin, other glycopeptides have been
tested, but only teicoplanin, introduced in 1984, has been widely used
until now for the treatment of humans (26, 27). In most
parts of the world, the glycopeptides have been reserved as second-line
antibiotics for infections caused by The correlations between doses and pharmacokinetic profiles of
glycopeptides in humans are well described, but the correlation between
the pharmacokinetic profile and the effect of treatment of patients has
not been fully elucidated (1, 12, 16, 26, 28). Because of
fear of toxic effects, it was previously recommended that serum drug
concentrations be monitored regularly during glycopeptide therapy, at
least as trough concentrations but eventually also as peak
concentrations (1, 6, 7, 12, 16, 26, 28, 29). The effect of
treatment has been correlated to dose and serum drug concentrations,
but most studies have been retrospective and have focused on treatment
failures and the correlation to serum drug concentrations (1, 6,
7, 12, 16, 26, 28, 29). It has not been possible to conclude
which one or more of the pharmacokinetic or pharmacodynamic (PK/PD)
parameters are the most important and best predictors for the effects
of treatment in humans (1, 6, 12, 16, 26, 28).
In animal studies, it is possible to overcome many of the variables
seen in human studies; however, infections in animals are not easily
extrapolated to clinical situations. The effect of glycopeptide
antibiotics has been studied in animal models (2, 3, 11, 19,
21-25), including the relationship to dosing regimens (3,
22, 25), but more often one glycopeptide regimen has been
compared to regimens with other drugs (2, 11, 19, 21, 23,
24). Until now, it has not been possible to clearly identify
which one or more of the PK/PD parameters are the most important in
treatment with glycopeptides in animal studies.
The aim of this study was to clarify the importance of the different
PK/PD parameters with respect to treatments with glycopeptides. We used
the mouse peritonitis model with immunocompetent mice and with
Staphylococcus aureus and Streptococcus
pneumoniae as infective organisms. We used a wide spectrum of
different treatment regimens with vancomycin and teicoplanin.
(Parts of this work have been presented at the following international
congresses: 2nd International Symposium on Infection Models in
Antimicrobial Chemotherapy, Reykjavík, Iceland, 17 to 20 July
1996, abstr. 14; 36th International Conference on Antimicrobial Agents
and Chemotherapy, New Orleans, La., 15 to 18 September 1996, abstr.
A39; 20th International Congress of Chemotherapy, Sydney, Australia, 29 June to 3 July 1997, abstr. 4076.)
Bacteria and media.
A strain of S. pneumoniae
(I-1320, serotype 6B) and a strain of S. aureus (E-2371)
were used throughout this study; these strains have been used in animal
infection models before (9, 14, 15). The pneumococcal
suspension for animal inoculation was prepared immediately before use
by suspending colonies from a fresh overnight culture on 5% blood agar
plates in sterile beef broth, adjusted to an optical density at 540 nm
of 0.5, giving a concentration of approximately 108 CFU/ml.
The suspension was further diluted in beef broth and finally diluted
1:1 in 10% (wt/vol) mucin, giving a final concentration of 1 × 106 to 5 × 106 CFU/ml, and 5% (wt/vol)
mucin in beef broth. The staphylococcal inoculum was prepared by
suspending colonies from an overnight culture on 5% blood agar plates
in Mueller-Hinton broth in tubes. The tubes were incubated for
approximately 20 h at 35°C in a shake stand, followed by
centrifugation at 2,000 × g for 10 min at 4°C. The
bacterial pellet was resuspended twice in saline and centrifuged at
2,000 × g. The bacteria were dissolved in saline to an
optical density at 540 nm of 1.0, giving a concentration of
approximately 5 × 108 CFU/ml. This suspension was
centrifuged, half the supernatant was removed, and the suspension was
diluted 1:1 in human plasma, giving a final concentration of 4 × 108 to 5 × 108 CFU/ml, and 50% human
plasma in saline. For each experiment, the size of the inoculum was
determined after 10-fold dilutions in saline were made; 20 µl was
plated in spots in duplicate on 5% blood agar plates, with subsequent
counting of colonies after incubation overnight at 35°C.
0066-4804/00/$04.00+0
Copyright © 2000, American Society for Microbiology. All rights reserved.
Pharmacodynamics of Glycopeptides in the Mouse
Peritonitis Model of Streptococcus pneumoniae or
Staphylococcus aureus Infection
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ABSTRACT
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References
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INTRODUCTION
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References
-lactam antibiotics,
sulfonamides, tetracycline, quinolones, and macrolide antibiotics
leaves the glycopeptides as the only class of antibiotics against which
no resistance mechanism so far exists among pneumococci (4, 13,
18). This situation has led to a renewed interest in the
pharmacodynamics of glycopeptides.
-lactam-resistant gram-positive
bacteria. The use of glycopeptides has also been restricted to
intravenous (i.v.) or intramuscular (i.m.) administration and
installation in cavities, such as the peritoneum, cerebral ventricles,
and the lumen of the gut (6, 26).
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MATERIALS AND METHODS
Top
Abstract
Introduction
Materials and Methods
Results
Discussion
References
Antimicrobial agents. The antibiotics used were products for i.v. treatment of humans, vancomycin (Vancocin; Eli Lilly and Company, Indianapolis, Ind.) and teicoplanin (Targocid; Astra, Södertälje, Sweden). The purities for vancomycin and teicoplanin, as given by the manufacturers, were 92 and 82% (wt/wt), respectively; the drugs were used without any weight compensation for the difference in purity to mimic the clinical situations.
In vitro experiments. MICs of vancomycin and teicoplanin were determined by the microdilution method using Mueller-Hinton broth supplemented with 5% sheep blood (20) and using the E-test, a gradient diffusion method, according to the instructions of the manufacturer (AB Biodisk, Solne, Sweden). Protein binding of the glycopeptides in mouse serum was determined earlier using the ultrafiltration method (5, 15). In brief, after 2 h of incubation of the media (human serum, mouse serum, or beef broth) in ambient air at 35°C, the pH was adjusted to 7.0 to 7.5 by bubbling with CO2. The glycopeptides at concentrations of 150 and 50 µg/ml were incubated for 2 h at 35°C in the media. The samples were divided into two parts; one part was centrifuged in tubes with filters with a cutoff of approximately 30 kDa (Centricon 30, no. 4208; Amicon, Beverly, Mass.) in a fixed-angle rotor at 3,000 × g for 20 min. The antibiotic concentrations in both parts were determined by the agar cup method (strain: nonhemolytic Streptococcus EB-68; Statens Serum Institut). A standard curve was produced using antibiotic concentrations dissolved in the same media (variation coefficients, <5%; for r2 for standard curves, >0.90). Thus, the protein-bound fraction could be calculated.
In vivo models. In the mouse peritonitis model, outbred female ssc:CF1 mice were used. The models have been described earlier (9, 14). In the model for pneumococci, the mice weighed 28 to 32 g and were approximately 8 weeks old. Mice were inoculated intraperitoneally with 0.5 ml of the pneumococcus suspension (1 × 106 to 5 × 106 CFU/ml) and 5% (wt/vol) mucin in beef broth. Treatments of the pneumococcal infections were always started 1 h after challenge. In the model for staphylococci, originally designed to be performed as a foreign-body model (9), the mice weighed 35 to 40 g and were 10 to 12 weeks old. Mice were inoculated intraperitoneally with 1 ml of the staphylococcal suspension (4 × 108 to 5 × 108 CFU/ml) and 50% human plasma in saline. Treatments were started immediately thereafter. The mice were kept in cages at five to a cage, and they had free access to food and water.
Treatments of mice were performed as subcutaneous injections in volumes of 0.1 (minimum) to 0.5 (maximum) ml per dose in the neck region. The maximum total dose during the treatment was 1.2 ml per day. Mice were observed daily for 6 days, and the mortality was noted. The PK/PD parameters for glycopeptides were determined earlier using healthy mice weighing 28 to 30 g; the mice were bled in groups of two or three at different times after treatments (15). In brief, the mice were bled after anesthesia with CO2 at time points 10 to 240 min after treatments and sacrificed immediately thereafter. The blood samples were centrifuged at 1,630 × g for 10 min, and the serum was stored at
80°C until analyses,
which were performed in duplicate. The cup plate or disk diffusion
bioassay method was used for measuring the glycopeptide concentration
in mouse serum, as described for measuring the concentration in the determination of protein binding. The lowest measured value for both
drugs was 1 µg/ml. The serum elimination half-life
(t1/2) was calculated as
log102/
, where
is the slope of the serum elimination line [time versus log10(serum drug
concentration)]. The Cmax was the highest
concentration measured in serum during the treatment regimens. For all
treatment regimens carried out, the PK/PD parameters,
Cmax/MIC, Cmax-free (the
fraction of the peak concentration that was not bound to serum
proteins)/MIC, T>MIC (the time at which the
serum drug concentration was above the MIC), and
T>MIC-free (the time at which the free fraction of the serum drug concentration was above the MIC), were calculated by
extrapolation. The area under the serum concentration-time curve (AUC)
was calculated using the trapezoidal method from time zero to the time
when the extrapolated drug concentration was below 0.01 µg/ml (the
baseline for the AUC calculation).
In vivo investigations. Four different treatment trials were carried out.
(i) Trial 1. The single doses that protected 50% of the mice (ED50s) for teicoplanin and vancomycin given subcutaneously for both the staphylococcus and the pneumococcus were calculated using the Hill equation. Doses from 0.1 to 100 mg/kg of body weight were used as follows: for the pneumococcus and vancomycin, 0.10, 0.25, 0.50, 0.67, 1.0, 2.5, 10.0, and 100 mg/kg; for the pneumococcus and teicoplanin, 0.10, 0.25, 0.39, 0.50, 0.60, 0.75, 1.0, 10.0, and 100 mg/kg; for the staphylococcus and vancomycin, 0.27, 1.4, 2.7, 4.7, 6.8, 13.5, 27.0, and 54.1 mg/kg; and for the staphylococcus and teicoplanin, 0.68, 1.4, 2.7, 5.4, 6.8, 8.1, 9.5, 13.5, 21.6, and 86.5 mg/kg. Each dose was given to mice in groups of at least 5 (range, 5 to 30). In each trial, a group of mice treated with saline was included as a control for the lethality of the infection. Mice were observed for 6 days, and deaths were recorded daily.
(ii) Trial 2. Treatments with total doses close to the ED50s for single doses were given subcutaneously as one or two doses for both drugs and both strains to mice in groups of 24 or 30. When two doses were given, the intervals between treatments were 2 h for vancomycin and 12 h for teicoplanin; these intervals were 3.8 and 4.8 times the t1/2 values, respectively. These intervals were chosen so that the second doses were given approximately at the time when the serum drug concentrations became lower than the MICs. Mice were observed daily for 6 days.
(iii) Trial 3. Multidosing regimens given subcutaneously in the pneumococcal peritonitis model were carried out for vancomycin and teicoplanin with a total treatment time of 48 h, followed by observation of the mice for 6 days. Mice were treated twice (with 24 h between treatments), with 4 doses (every 12 h), with 8 doses (every 6 h), with 12 doses (every 4 h), or with 24 doses (every 2 h). The total doses for both drugs were from 0.001 to 1,000 mg/kg in the different dosing regimens as follows: 0.001 and 0.01 mg/kg in 2, 4, and 8 doses; 0.1, 1.0, 5.0, and 10 mg/kg in 2, 4, 8, 12, and 24 doses; and 20, 100, and 1,000 mg/kg in 12 and 24 doses. There were at least 5 mice (range, 5 to 15) in each treatment group.
(iv) Trial 4. Because of differences in the serum protein binding of the drugs and therefore possible differences in penetration to the focus of infection in the peritoneal cavity, the following experiments were performed. Mice were challenged with pneumococci and treated in groups of five for 48 h with vancomycin or teicoplanin as a 12-dose regimen (every 4 h) or as a 24-dose regimen (every 2 h), for total doses of 1, 5, 10, and 20 mg/kg, as in the multidosing regimens (trial 3); however, here the treatments were given intraperitoneally.
Statistical methods.
The Hill equation, a nonlinear
regression method with a variable slope (GraphPad Prism;
GraphPad Software Inc., San Diego, Calif.), was used to calculate the
ED50s: E = Emin + [(Emax
Emin)/(1 + 10(logED50
logX)H), where X is the
concentration of the drug and H is the Hill slope of the
sigmoid curve going from Emin to
Emax (trials 1 and 2). This method was also used
to analyze the correlation between Cmax-free/MIC
(as the X value) and survival in groups of mice after 6 days
(as the E value) (trial 3). The correlation between T>MIC-free, (X values) and survival
in groups of mice after 6 days (E value) was analyzed using
the Emax model: E = Emax [X/(ED50 + X)] (trial 3).
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RESULTS |
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The serum drug elimination in mice and the protein binding in mouse serum were determined previously (15). For vancomycin a t1/2 of 32 min was used, and for teicoplanin, a t1/2 of 151 min was used. For protein binding in mouse serum, values of 25 and 90% were used for vancomycin and teicoplanin, respectively.
The MICs and single-dose ED50s for the strains and the
glycopeptides (trial 1) are shown in Table
1. No major difference was found between
the MICs determined by the microdilution method and the E-test. The
differences in ED50s reflected the differences in MICs, as
the staphylococcus was less susceptible to both glycopeptides than the
pneumococcus, and higher doses were needed to achieve the same effect
in the mouse model.
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In Table 2, the results of the one- and
two-dose experiments (trial 2) are shown. The different regimens with
the same total dose were compared using the survival curves and the
Mantel-Haenszels test. In all five trials, the one-dose group showed
better survival than the two-dose group, a result which was
statistically significant in four of the five trials. The PK/PD
parameters corresponding to the dosing regimens also are listed in
Table 2. The only significant correlations between the percent survival
of the mice after 6 days and each of the PK/PD parameters were the
Cmax/MIC for S. aureus (Spearman rho,
0.97; P, 0.02) and the Cmax-free/MIC
for S. pneumoniae (Spearman rho, 0.81; P, 0.03)
when data for vancomycin and teicoplanin trials were combined. When the
data for both bacteria were combined, only the
Cmax/MIC for vancomycin was significantly correlated to survival (Spearman rho, 0.87; P, 0.03). No
other significant correlations were found.
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In Table 3, the ED50s for the
different multidosing regimens in the pneumococcal peritonitis model
(trial 3) are given, as calculated using the Hill equation. The
ED50s increased with decreasing dosing intervals. For three
of the values, it was not possible to calculate the 95% confidence
interval (CI) because few values were located between 100% survival
and 100% death of mice in groups receiving different total doses;
however, in all calculations, the fitting of the values to the
nonlinear regression curves was high (R2 for
all,
0.99) (Table 3).
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The multidosing regimens for pneumococcal peritonitis in the 48-h
trials (including the one-dose ED50 trials) included 39 different vancomycin regimens and 40 different teicoplanin regimens (trials 1 and 3). For all of these regimens, different PK/PD parameters were calculated and correlated to the effect, i.e., survival of groups
of mice after 6 days with different methods. The parameters analyzed
are shown in Tables 4 and
5. Highly significant correlations were
found for all parameters and effect, with a Spearman rho of >0.75 and
P < 0.001 (Table 4). The parameters were also correlated to
each other for all 79 regimens, especially between
T>MIC-free and AUC/MIC (Spearman rho, 0.87;
P, <0.001), between Cmax-free/MIC and AUC/MIC (Spearman rho, 0.77; P, <0.001), and between
T>MIC-free and
Cmax-free/MIC (Spearman rho, 0.79;
P, <0.001).
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Logistic regression analysis was performed to evaluate the importance of the parameters T>MIC-free, AUC/MIC, and Cmax-free/MIC. The effect was expressed as a binomial distribution of survival of mice in different treatment groups in a logit transformation [logit (EBN)]. For both drugs, the log10(Cmax-free/MIC) was related to the logit(EBN) in a threshold relationship, and the log10(T>MIC-free) and the log10(AUC/MIC) were related to the logit(EBN) in linear relationships. For vancomycin, the logit(EBN) could be explained by the parameters log10(Cmax-free/MIC) and log10(AUC/MIC), but log10(T>MIC-free) seemed to be without importance, expressed as arbitrary distances from the intercept, the gain in 2log(likelihood) (Table 5). For teicoplanin, the logit(EBN) could be explained by the parameters log10(Cmax-free/MIC) and log10(T>MIC-free), but log10(AUC/MIC) seemed to be without importance, again expressed as arbitrary distances from the intercept, the gain in 2log(likelihood) (Table 5).
Figure 1 shows the nonlinear regression
curves for effect (survival after 6 days) as a function of increasing
T>MIC-free and
log10(Cmax-free/MIC) for 48-h
vancomycin and teicoplanin treatment regimens. For these four
evaluations, statistically significant correlations were found for
T>MIC-free and effect for vancomycin and
teicoplanin. The Emax model showed
R2 values of 0.65 and 0.82, respectively; the
Hill equation correlated the data from
log10(Cmax-free/MIC) and effect for
vancomycin and teicoplanin, with R2 values of
0.76 and 0.96, respectively. The change from no effect to full effect
took place within approximately one log10 increase in
Cmax-free/MIC for both teicoplanin and
vancomycin. The thresholds for these shifts in
Cmax-free/MIC were five to six for
vancomycin and two to three for teicoplanin. Because these thresholds
for shifts in effect were different for the two drugs, logistic
regression was not performed for all data together for the two drugs.
When the different regimens with the same total doses were analyzed, a
highly significant difference in survival of mice over the 6 days of
observation was found for both drugs at a total dose of 1 mg/kg,
showing the one-dose regimens to be the best (log rank test:
P, <0.001). No statistically significant differences
between regimens with the same total doses could be shown for doses
other than a total dose of 1 mg/kg.
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To illustrate the different regimens, Figure
2 shows the extrapolated serum drug
values, both as the total and as the free serum drug concentrations for
vancomycin and teicoplanin, at the same total dose of 1 mg/kg. The MICs
of both drugs are indicated.
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To examine whether one or more PK/PD parameters were constant for the ED50s in the different regimens, the T>MIC-free, AUC/MIC, and Cmax-free/MIC were studied for the ratios of ED50/number of doses. The values for T>MIC-free and AUC/MIC were multiplied by number of doses, but no statistically significant correlations could be found.
A comparison of the effects of the same regimens given as subcutaneous
or intraperitoneal injections of vancomycin and teicoplanin, according
to the total dose given (trials 3 and 4), did reveal a difference for
vancomycin. For vancomycin, all eight regimens of intraperitoneally
administered treatments were better than or equal to subcutaneously
administered treatments (sign test: P, 0.04). For
teicoplanin, no statistically significant differences were found for
the eight regimens (sign test: P, 0.72) (Table 6). The overall rates of survival for
vancomycin given intraperitoneally versus subcutaneously were 73 versus
49%, respectively; corresponding rates for teicoplanin were 75 versus
56% (Table 6).
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DISCUSSION |
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Among animal studies, two studies in particular have previously provided hints of the importance of the various PK/PD parameters (3, 22). In a study of teicoplanin in a rabbit endocarditis model with S. aureus, doses were given as i.v. or i.m. treatments (3). The same dose given i.v. and i.m. showed differences in serum drug profile; the i.v. regimen resulted in a higher peak and more rapid elimination of the drug than in the i.m. regimen. A statistically better effect, i.e., a smaller number of CFU in the valve vegetations, was found for the i.m. regimen. A nonstatistically higher drug concentration was found in valves from animals in the i.m. regimen than in those from animals in the i.v. regimen after 24 h of therapy. The mean of the free-drug concentration was not above the MIC in the i.v. regimen, as it was in the i.m. regimen. The authors argue for regimens providing trough free-drug concentrations above the MIC (3). That is, the authors argue for regimens where the serum free-drug concentrations never go below the MIC during the treatment period.
However, in another study, comparing i.v. and i.m. treatments for Staphylococcus haemolyticus in the thigh model of normal or neutropenic mice with vancomycin or teicoplanin, the authors did not find any difference between i.v. and i.m. treatments but did find differences between treatments of normal and neutropenic mice (25). The ED50s of both vancomycin and teicoplanin in neutropenic mice were approximately four times higher than those in normal mice (25). In a study of the effect of vancomycin and teicoplanin against S. aureus in the thigh model with neutropenic mice, the effect in vivo correlated with the effect predicted from in vitro results (22). The killing effect of the drugs in vitro as the difference in CFU in the thighs between treated and control mice was correlated to the effect seen in time-kill curves, according to concentration, and with respect to serum protein binding. The killing effect in vivo could be predicted for vancomycin and, to a certain degree, also for teicoplanin; i.e., a maximum killing effect was found for the time when the serum drug concentration was above the MIC, and a concentration-dependent killing effect was found during the time when the drug concentration was below the MIC (22). Both of these previous studies (3, 22) focus on T>MIC (or T>MIC-free) as the most important parameter for effect.
In the one- and two-dose trials with staphylococci and pneumococci in the present study, it seemed obvious that the glycopeptides should be given in few high doses and that Cmax was the most important parameter for achieving effect. In the one- and two-dose regimens with teicoplanin against staphylococci, significant effects were observed; 15 of 24 mice and 11 of 24 mice, respectively, survived, although the free-drug concentration did not reach the MIC and the T>MIC-free was zero. Since the ED50s increased with number of doses given in the multidosing experiment, the results seemed to confirm the importance of Cmax (Table 3). The significant log-rank test for both drugs showing a better effect with fewer doses than with many doses in the different regimens with total doses of 1 mg/kg in the multidosing trials is also in concordance with Cmax being the most important parameter for effect.
All the PK/PD parameters were significantly correlated with effect by the Spearman rank test for the multidosing trials, and T>MIC-free and Cmax-free/MIC could be correlated with effect in different models, the Emax model and the Hill equation, respectively. Logistic regression did not show Cmax-free/MIC alone to be the best predictor for effect but, in combination with AUC/MIC for vancomycin and with T>MIC-free for teicoplanin, it explained the survival of mice in the multidosing trials.
The effects observed in the one- or two-dose trial (trial 2), where the free concentrations of teicoplanin in serum were below the MICs (Table 2) possibly can be explained by the bactericidal effect of glycopeptides at concentrations lower than the MIC; teicoplanin has a bactericidal effect against Staphylococcus at concentrations one-half the MIC (data not shown and reference 22). Another important factor could be that the mice used were immunocompetent and leukocytes might enhance the killing of bacteria by concentrations below the MIC.
In 1950, Eagle et al. performed a study of different dosing regimens
for penicillin against intraperitoneally inoculated pneumococci in
mice, where the 50% protective dose diminished with increasing number
of doses given (8). This result has also been shown for
other combinations of
-lactam antibiotics and bacteria in animal
models (17). It is well known that
T>MIC is increased for a certain total dose if
the dose is divided into a number of smaller doses; therefore, a
decrease in the 50% protective dose with increasing number of doses
given is indirect proof that T>MIC is the most
important parameter for effect. This connection between further
division of doses and increasing T>MIC is
abolished when the Cmax/MIC ratio is below four.
The Cmax/MIC values achieved at the
ED50s for
-lactams are usually essentially higher than four (8, 14, 17); therefore, T>MIC
increases and Cmax/MIC decreases with number of
doses. The effect of the glycopeptides seems to be achieved at
relatively low drug concentrations in comparison with the effect of the
-lactams; a division of doses when the
Cmax/MIC ratio is below four will result in
decreases in the parameters Cmax/MIC and
T>MIC or zero values for
T>MIC.
Figure 2 shows examples of how the regimens with total doses of 1 mg/kg are related to the MICs in this model of pneumococci and glycopeptides. The example of 1 mg/kg was chosen because, in the multidosing trial (trial 3), the regimens had ED50s of below 1 mg/kg for both vancomycin and teicoplanin when given in one or two doses; however, when doses were given in 4, 8, 12, or 24 injections, the ED50s were above 1 mg/kg. Figure 2 shows why the 50% protective doses (ED50s in our experiments) do not decrease with the number of doses given, whatever the parameter of importance is, T>MIC or Cmax. The ratios between Cmax-free and MIC are less than four, so that a division of the doses results in both very short or no T>MIC values and lower Cmax values.
Because of the difference in the serum protein binding properties of the two drugs, penetration to the focus in our model, the peritoneal cavity, could be different; therefore, the effect of the two drugs could be difficult to compare. It could have been a disadvantage for teicoplanin, with a relatively high level of protein binding in mouse serum, to be compared with vancomycin in a mouse model with a peritoneal focus for sepsis. The peritoneal fluid following an intraperitoneal challenge with bacteria is an exudate and therefore is presumed to contain at least as much protein as serum. Instead of trying to determine the antibiotic concentration and the protein content in the peritoneum, we treated the mice with either subcutaneous or intraperitoneal injections in equivalent regimens (Table 5). Only for vancomycin was a slightly better effect achieved with the intraperitoneal dosing. No difference was found for teicoplanin, a result which could be explained by higher inactivation of the drug because of the high protein content in the peritoneal fluid. We concluded that this difference did not have any major influence on our results, and we focused on the importance of working with the free fractions of the drugs.
In all these calculations, simple extrapolations from relatively few pharmacokinetic data are done, and the fact that the elimination of drugs is highly dependent on the illness of the animals is ignored. We start to treat the animals 1 h after challenge, when the mice have bacteremia, approximately 104 CFU/ml (14), and the serum elimination of drugs is not yet impaired. If the animals become severely ill, the elimination rates used in the calculations are probably not correct; the T>MIC values are longer and the Cmax values are higher than the values that we use in the calculations. It would be ideal to use individualized pharmacokinetics, but that is very complicated.
From these observations, it seems possible to conclude that Cmax-free is of major importance, but this parameter alone cannot explain the effects achieved with either of the two glycopeptides studied here, vancomycin and teicoplanin.
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ACKNOWLEDGMENTS |
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We thank James Leggett, Providence Medical Center, Portland, Oreg., for helpful advice and discussion of the work. We also thank Henrik Carsten Wachmann, Biostatistics, Statens Serum Institut, for performance of the logistic regression analyses and patience in explaining the results.
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FOOTNOTES |
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* Corresponding author. Mailing address: Microbiological Research and Development, Division of Microbiology, Statens Serum Institut, 5, Artillerivej, DK-2300 Copenhagen S, Denmark. Phone: 45 3268 3175. Fax: 45 3268 3887. E-mail: jdk{at}ssi.dk.
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