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Antimicrobial Agents and Chemotherapy, June 2003, p. 1862-1866, Vol. 47, No. 6
0066-4804/03/$08.00+0 DOI: 10.1128/AAC.47.6.1862-1866.2003
Copyright © 2003, American Society for Microbiology. All Rights Reserved.
Department of Infectious Diseases,1 Department of Medical Microbiology, Leiden University Medical Center, Leiden, The Netherlands2
Received 4 June 2002/ Returned for modification 21 August 2002/ Accepted 18 March 2003
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In experimental infections in granulocytopenic animals, the antimicrobial effect of ß-lactam antibiotics was closely related to the duration of time that the concentration of the drug in plasma remained above the MIC (1, 2, 5, 7, 9, 11, 12, 14).
The half-life of most ß-lactam antibiotics in humans is relatively short and is often not longer than 2 h. Doubling the dose prolongs by only one half-life of the drug the time during which the concentration in plasma remains above the effective concentration. To obtain a maximal effect in patients with serious infections, therefore, a more efficient way to keep the concentration in plasma from falling below the MIC long before the end of the dose interval would be to decrease the dose interval rather than to increase the dose. If this were to lead to very frequent dosing, continuous infusion of the drug would be preferable to intermittent administration.
To properly treat patients by continuous infusion of antibiotics, the pharmacokinetics during this procedure, in particular in relation to renal function, should be known. Cefamandole and ceftazidime are often used for the treatment of serious gram-negative infections, with the choice depending on the expected or established sensitivity of the causative microorganism.
The present study was undertaken to establish the pharmacokinetics of those two antibiotics during continuous infusion. As a first step, we determined the relationship between concentration in plasma, renal clearance, and nonrenal clearance. To validate these results, they were used to obtain predicted concentrations in plasma for a subsequent group of patients.
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Administration of antibiotics. Cefamandole (cefamandole nafate; Eli Lilly, Nieuwegein, The Netherlands) or ceftazidime (ceftazidime pentahydrate; Glaxo Wellcome, Zeist, The Netherlands) was dissolved in saline or distilled water according to the manufacturer's instructions and administered intravenously by means of a syringe infusion pump (Adquipment, Medical Instrument Division, Rotterdam, The Netherlands). Syringes with freshly dissolved antibiotics were inserted every 6 h. The standard daily dose of cefamandole was 4 g. The standard daily dose of ceftazidime was 1.5 g, but when an infection with Pseudomonas aeruginosa was suspected, the standard daily dose was 3 g (or a dose adjusted to renal function). To determine the concentration of cefamandole or ceftazidime in plasma, two blood samples were taken 1 h apart (by veni puncture, from the arm opposite to that used for infusion of the antibiotic) at least 6 h after initiation of treatment by continuous infusion. The second sample was taken to verify that a near steady state had been reached. After the second sample was taken, the dose was doubled to obtain information about the relationship between dose and concentration at a higher dose range (up to 8 g of cefamandole and 3 to 6 g of ceftazidime per day) and, at least 6 h later, two blood samples were again taken 1 h apart.
In the evaluation group, a loading dose was given and total daily doses were adjusted to changes in renal function to reach target concentrations in plasma (12 mg/liter for cefamandole and 6 or 12 mg/liter for ceftazidime). The next day, two blood samples were taken 1 h apart to verify that the steady state had been reached. Samples were centrifuged and stored at 4°C for determination of antibiotic concentrations.
Measurements. Total concentrations in plasma were measured by high-performance liquid chromatography within 24 h after taking the sample. An aliquot of serum was mixed with acetonitrile (Merck, Darmstadt, Germany) to precipitate serum proteins. The mixture was then vortex mixed, centrifuged for 5 min at 1,200 x g, washed with dichloromethane, and centrifuged again for 5 min at 1,200 x g prior to sampling onto the chromatography column. Chromatography was performed with a system including a constant flow pump (model 1000; Sykam, Analytica BV, Rijswijk, The Netherlands), a Rheodyne model 7125 injection valve equipped with a 20-µl sample loop (Chrompack, Middelburg, The Netherlands), a stainless steel column (length, 10 cm; internal diameter, 3 mm), and a Spectroflow 773 absorbance detector (Kipp & Zonen, Delft, The Netherlands) operating at a wavelength of 254 nm. Chromatograms were registered on a BD 42 recorder (Kipp & Zonen). Using a pressurized slurry technique, the column was packed with 5-µm particle-size Hypersil ODS (Shandon SPL, Cheshire, United Kingdom). Calibration plots were constructed after the addition of known amounts of cefamandole or ceftazidime to plasma, and concentrations of the samples were calculated by interpolation of the calibration plots. Previous experience with this assay showed a variability of less than 10% between measurements made within 24 h (unpublished data) and a lowest level of detection of 0.1 mg/liter.
For a limited number of patients, plasma protein binding of the antibiotic was determined by equilibrium dialysis in a Dianorm dialysis apparatus (Diachema AG, Zurich, Switzerland).
Creatinine concentrations in serum were determined with a Technicon-SMAC multichannel autoanalyzer (Technicon Instruments, Tarrytown, N.Y.). Creatinine clearance was estimated from age, sex, body weight, height, and concentration of creatinine in serum according to the method of Hallynck et al. (6).
Pharmacokinetic models.
Under steady-state conditions during continuous infusion, the concentration of the antibiotic in plasma was determined by the dose and plasma clearance according to the following equation:
![]() | (1) |
![]() | (2) |
![]() | (3) |
is a constant.
Substitution of equation 3 into equation 1 leads to the following equation:
![]() | (4) |
Statistical analysis.
In the first group of patients, the best estimates of CLNR (and of
for the model with or without the contribution of nonrenal elimination) were obtained by nonlinear regression analysis using the average of the measured values of C and the calculated creatine clearance (ClCR) values (in milliliters/minute) and using NONLIN software (Systat, Evanston, Ill.). The proportion of the total variation of C that can be explained by the pharmacokinetic model is indicated by the squared multiple regression coefficient (r2). The predictive value of the resulting equations was tested in the evaluation group by comparing the observed and predicted values of C. The mean differences and the 95% limits (i.e., 1.96 x standard deviation [SD]) of the differences between the observed and predicted values of C were calculated to indicate the extent of agreement.
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View this table: [in a new window] |
TABLE 1. Patient characteristics
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There was considerable variation in the steady-state concentrations in plasma for patients receiving the same daily dose of antibiotic. For example, when cefamandole was administered at a total daily dose of 4 g, the average concentrations ranged from 11.8 to 43.5 mg/liter while a total daily dose of 3 g of ceftazidime resulted in 11.6 to 48.8 mg/liter (Fig. 1).
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FIG. 1. Mean steady-state concentrations of cefamandole and ceftazidime in plasma during continuous infusion for the first patient group.
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of 2.24 (95% CI, 1.81 to 2.67). By omitting CLNR from equation 4, a value of 1.89 (95% CI, 1.70 to 2.08) was calculated for
.
For ceftazidime, the value according to equation 4 of CLNR was also negligible (0.41 ml/min; 95% CI, -1.05 to 1.87); the value of
was 0.90 (95% CI, 0.52 to 1.83). After dropping CLNR from equation 4, the estimate for
was 1.01 (95% CI, 0.89 to 1.13). The variation in the concentrations of cefamandole and ceftazidime in plasma was mainly attributable to the variation in the rate of creatinine clearance (r2 = 0.80 and 0.70, respectively).
Plasma binding of cefamandole and ceftazidime was determined for a limited number of consecutive patients. For cefamandole (n = 10), the median binding level was 68% (range, 62 to 75%) independent of the concentration. For ceftazidime (n = 5), it was 0% in all cases. Nonlinear regression analysis using equation 4 as the model showed that CLCR was mainly responsible for the total concentration in plasma and that saturability of tubular elimination did not seem to play a role, because even at high concentrations the model fit well (Fig. 2).
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FIG. 2. Relation between observed and predicted values of total concentrations of cefamandole and ceftazidime in plasma during continuous infusion for the first patient group. Total concentrations in plasma were predicted on the basis of creatinine clearance and dose according to the model C = R0/( x CLCR) (Materials and Methods). The diagonal line represents values for y = x.
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thus calculated (with
= 1.89 for cefamandole and 1.01 for ceftazidime) and after rearranging equation 4, the following formulas were derived to estimate the total daily doses needed to obtain the following concentrations in plasma: for cefamandole, 12 mg/liter (dose [g/24 h] = 0.033 x CLCR [ml/min]); for ceftazidime, 6 mg/liter (dose [g/24 h] = 0.009 x CLCR [ml/min]) and 12 mg/liter (dose [g/24 h] = 0.017 x CLCR [ml/min]). These concentrations in plasma were chosen to obtain concentrations of unbound antibiotic of three times the MIC for the most likely causative organisms (1 mg/liter for cefamandole and 2 mg/liter for ceftazidime [or 4 mg of ceftazidime/liter in cases of Pseudomonas aeruginosa infection]).
The evaluation group of patients received the estimated total daily dose of cefamandole or ceftazidime by continuous infusion after a loading dose of 200 mg of cefamandole or 100 mg of ceftazidime. Concentrations in plasma were predicted using equation 4 without including nonrenal clearance values in the calculation.
A total of 21 patients were treated with cefamandole. One patient was excluded from further analysis. The concentration in plasma determined for this patient was 144 mg/liter, suggesting that the plasma sample was obtained from the arm used for infusion of the antibiotic.
The mean predicted concentration of cefamandole in plasma of the remaining 20 patients was 13.75 mg/liter (SD, 2.29 mg/liter). The observed values were significantly lower than the predicted values (mean difference, -2.49 mg/liter; 95% limits, -9.68 to 4.71 mg/liter; P value, 0.007) (Fig. 3, left panel). The mean observed concentration of cefamandole in plasma was 11.26 mg/liter (SD, 4.30 mg/liter). For 11 of the 20 patients, concentrations of cefamandole in plasma were below the target concentration of 12 mg/liter but no concentration in plasma was below the MIC for the expected causative microorganism.
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FIG. 3. Relation between observed and predicted values of the total concentrations of cefamandole and ceftazidime in plasma during continuous infusion for the evaluation group. In the right panel, closed circles represent the total concentrations of ceftazidime in plasma obtained for patients treated for a possible P. aeruginosa infection. The total concentrations in plasma were predicted on the basis of creatinine clearance and dose according to the model C = R0/( x CLCR) (Materials and Methods).
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Cefamandole is eliminated not only by glomerular filtration but also by tubular secretion (8) and to some extent by extrarenal mechanisms. In the present study, saturability of tubular elimination of cefamandole was not demonstrated and the contribution of nonrenal clearance to variations in concentrations in plasma was negligible. Ceftazidime is eliminated mainly by the kidney and to a much lesser extent by extrarenal mechanisms (13). Moreover, this renal elimination is almost exclusively accomplished by glomerular filtration (15). For our patients, we found a relationship between renal function and plasma clearance of ceftazidime similar to that found for healthy volunteers (10) as well as for a similar group of patients (4).
The predictive value of the two equations for both antibiotics was validated with a second group of patients. Statistical analysis showed that the observed concentrations in plasma for both patient groups treated with cefamandole or ceftazidime were significantly lower than the predicted values for these antibiotics. For the calculation of the creatinine clearance, the serum creatinine value on admission was used. For most patients, renal function improved significantly during the days following treatment (data not shown). Therefore, the differences between observed and predicted concentrations in plasma were most likely caused by an underestimation of the renal clearance rate on admission. The observed concentrations in plasma were lower than the preset target concentrations of three times the MIC for 55% of the patients treated with cefamandole and 67% of patients treated with ceftazidime. However, concentrations in plasma were never below the MIC for the expected pathogens. On several occasions, the estimated total daily dose of cefamandole or ceftazidime was different from that actually given in the ward. Two of the 20 patients treated with cefamandole received only 88 and 83% of the calculated dose; 2 of the 6 patients treated with ceftazidime received 73 and 72% of the calculated dose. Besides the underestimation of the renal clearance, target concentrations were not reached in a number of patients because of underdosing.
However, these limitations do not argue against the principal conclusion that the concentration in plasma achieved at a given rate of administration can be predicted on the basis of the creatinine clearance alone. When one takes into account the consideration of underestimation of renal clearance, it might be prudent to increase the target concentration with two times the SD for the following predicted values: for cefamandole, 16 mg/liter (dose [g/24 h] = 0.044 x CLCR [ml/min]); for ceftazidime, 15 mg/liter (dose [g/24 h] = 0.022 x CLCR [ml/min]) and 21 mg/liter (dose [g/24 h] = 0.030 x CLCR [ml/min]).
Recently, Frame et al. (4) used a population study of pharmacokinetics to develop a model that predicts steady-state ceftazidime concentrations during continuous infusion. In their model, the parameters needed to estimate the creatinine clearance are incorporated separately, which makes it unnecessarily complicated.
Our formulas are based on an extensively validated method for estimation of the creatinine clearance (6). Besides, Frame et al. did not evaluate their results in a second group of patients. In our opinion, their model is too complicated for use in a clinical setting.
Our results made it possible to establish simple formulas for cefamandole and ceftazidime dosages (and to ignore nonrenal clearance of these antibiotics) which can easily be used in clinical practice to obtain a satisfactory estimate of the total daily dose needed for proper treatment of the individual patient by continuous infusion.
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