page 1 of 32 a new semi-physiological absorption model to assess
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A New Semi-Physiological Absorption Model to Assess the Pharmacodynamic Profile of 1
Cefuroxime Axetil using Nonparametric and Parametric Population Pharmacokinetics 2
3 J. B. Bulitta1,#, C. B. Landersdorfer1,#, M. Kinzig1, U. Holzgrabe2, F. Sorgel1,3 4 5
6
1: IBMP – Institute for Biomedical and Pharmaceutical Research, Nürnberg-Heroldsberg, 7 Germany; 8 2: Institute of Pharmacy and Food Chemistry, University of Würzburg, Würzburg, Germany; 9 3: Department of Pharmacology, University of Duisburg – Essen, Essen, Germany; 10 11
Corresponding author: Fritz Sörgel, PhD, BSc, Professor, 12 IBMP – Institute for Biomedical and Pharmaceutical Research, 13 Paul-Ehrlich-Str. 19, D-90562 Nürnberg-Heroldsberg, Germany; 14 Phone: ++49-911-518290, Fax: ++49-911-5182920, e-mail: [email protected] 15 16
Running title: Population PK & PD of Cefuroxime Axetil 17
18
Key words: 19
population pharmacokinetics and pharmacodynamics, 20
nonparametric and parametric population pharmacokinetics, 21
Monte Carlo simulation, 22
semi-physiological Michaelis-Menten absorption model, 23
PK/PD MIC breakpoints 24
25
#Present address: Ordway Research Institute, Albany, NY 12208, USA. 26
27
This work was in part presented at the 46th Interscience Conference on Antimicrobial Agents and 28
Chemotherapy, 2006 (poster A-1119). 29
30
31
Dedication: This article is dedicated to Professor Ulrich Stephan, the Co-founder of IBMP who 32
passed away February 6th of 2009. Without his inspiration and support IBMP would not exist 33
neither would the present research have been performed. We keep him in our hearts. 34
Copyright © 2009, American Society for Microbiology and/or the Listed Authors/Institutions. All Rights Reserved.Antimicrob. Agents Chemother. doi:10.1128/AAC.00054-09 AAC Accepts, published online ahead of print on 15 June 2009
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Abstract: 35
Cefuroxime axetil is widely used to treat respiratory tract infections. We are not aware of a 36
population pharmacokinetic (PK) model for cefuroxime axetil. Our objectives were to develop a 37
semi-physiological population PK model and evaluate the pharmacodynamic (PD) profile for 38
cefuroxime axetil. Twenty-four healthy volunteers received 250mg oral cefuroxime as suspension 39
after a standardized breakfast. LC-MS/MS was used for drug analysis, NONMEM and S-ADAPT 40
(results reported) for parametric population PK, and NPAG for nonparametric population PK 41
modeling. Monte Carlo simulations were used to predict the time of non-protein bound 42
concentration above the MIC (fT>MIC). A model with one disposition compartment, a saturable 43
and time-dependent drug release from stomach and fast drug absorption from intestine yielded 44
precise (r>0.992) and unbiased curve fits and an excellent predictive performance. Apparent 45
clearance was 21.7 L/h (19.8% CV) and volume of distribution 38.7 L (18.3%). Robust (≥90%) 46
probabilities of target attainment (PTA) were achieved by 250 mg Q12h (Q8h) cefuroxime for 47
MICs ≤0.375 mg/L (0.5 mg/L) for the bacteriostasis target fT>MIC≥40% and for MICs ≤0.094 48
mg/L (0.375 mg/L) for the near-maximal killing target fT>MIC≥65%. For the fT>MIC≥40% target, 49
PTAs for 250 mg cefuroxime Q12h were ≥97.8% against S. pyogenes and penicillin-susceptible 50
S. pneumoniae. Cefuroxime 250 mg Q12h (Q8h) achieved PTAs below 73% (92%) against H. 51
influenzae, M. catarrhalis, and penicillin-intermediate S. pneumoniae for susceptibility data from 52
various countries. Depending on the MIC distribution, 250 mg oral cefuroxime Q8h instead of 53
Q12h should be considered especially for more severe infections that require near-maximal 54
killing by cefuroxime. 55
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Introduction 56
Cefuroxime axetil is the acetoxyethyl-ester prodrug of cefuroxime. Cefuroxime axetil is 57
reliably absorbed and can be taken with or without a meal, although its extent of bioavailability is 58
enhanced under the influence of food (21, 55). Cefuroxime has been successfully used in the 59
treatment of upper and lower respiratory tract infections as well as genitourinary tract infections 60
(46) and is active against H. influenzae, M. catarrhalis, S. pyogenes, K. pneumoniae, N. 61
gonorrhoeae, penicillin susceptible S. pneumoniae, and against some isolates of penicillin 62
intermediate S. pneumoniae (6, 7, 26-28, 35, 36, 38, 39, 42, 56). 63
A susceptibility breakpoint of ≤1 mg/L has been determined for cefuroxime by national 64
organizations in Britain (BSAC, (8)) and Germany (DIN, (17)). Susceptibility breakpoints from 65
the Clinical and Laboratory Standard Institute [CLSI, (11)] are ≤1 mg/L for S. pneumoniae and 66
≤4 mg/L for Haemophilus spp., Enterobacteriaceae, and Staphylococcus spp. 67
Several authors (32, 38, 41) determined the pharmacokinetic-pharmacodynamic (PKPD) 68
MIC breakpoint for cefuroxime axetil based on the average plasma concentration profiles, but did 69
not incorporate between subject variability (BSV) in their analysis. Ambrose et al. (2) determined 70
the PKPD MIC breakpoint for intravenous cefuroxime via Monte Carlo simulation (MCS) based 71
on literature data and Viberg et al. (52, 53) developed a population PK model for intravenous 72
cefuroxime. We are not aware of a population PK model or MCS for cefuroxime axetil. 73
Population PK and MCS methodology account for the BSV in PK parameters and for the 74
variability in the bacterial susceptibility. A PKPD target is used as surrogate measure to predict 75
successful microbiological or clinical outcome (13, 18, 23, 29, 30, 49). For beta-lactams the 76
duration that the non-protein bound plasma concentration exceeds the MIC (fT>MIC) best predicts 77
these outcomes (3, 14, 18). For cephalosporins, data from animal infection models showed that a 78
target time of 40% fT>MIC correlates with bacteriostasis at 24 h and 60-70% fT>MIC are required 79
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for near-maximal bactericidal activity at 24 h (3, 12, 14, 18). Based on these PKPD targets, MCS 80
can predict the probability of target attainment (PTA) at various MICs. If the PTA vs. MIC 81
profile is combined with the expected MIC distribution of the pathogen(s) of interest in a local 82
hospital, the probability of successful microbiological or clinical outcome can be predicted. 83
In addition to increasing the extent of bioavailability (21, 55), administration after a meal 84
may cause a slower rate of cefuroxime absorption due to a prolonged gastric transit time. The rate 85
of gastric emptying after a high-fat meal is likely to be variable and may change over time. 86
Parameters describing the absorption phase may also not be normally or log-normally distributed. 87
As MCS based on parametric population PK models use parametric distributions to describe the 88
variability in PK parameters, we additionally applied nonparametric population PK modeling. 89
The latter offers the advantage that it does not assume any shape for the multivariate distribution 90
of PK parameters. However, sample sizes larger than 24 subjects may be required to adequately 91
describe the shape of the multivariate distribution by a nonparametric variability model. 92
Our first objective was to develop a semi-physiological population PK model for 93
cefuroxime axetil using parametric and nonparametric population PK methods. Secondly, we 94
sought to determine the PTA vs. MIC profiles and the probability of target attainment for specific 95
MIC distributions of various pathogens for Q12h and Q8h dosage regimens with oral cefuroxime. 96
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Methods 97
Subjects: Twenty-four (24) healthy, male, Caucasian volunteers participated in the study 98
after they had given their written informed consent. Their demographic data were, average ± SD 99
[range]: age 24.5 ± 3.3 yrs [18-31 yrs], weight 73.8 ± 9.2 kg [58.2-93.6 kg], and height 179 ± 8.0 100
cm [166-193 cm]. The subjects’ health status was assessed by physical examination, 101
electrocardiography and laboratory tests including urinalysis and screening for drugs of abuse. 102
Intake of food and fluid was strictly standardized during the study days. Consumption of tobacco, 103
methylxanthines and alcohol in any form was prohibited from 12 h before administration of study 104
drug until the last sample. The volunteers were closely observed by physicians for the occurrence 105
of adverse events on the study days. The study protocol had been approved by the local ethics 106
committee and the study was conducted following the revised version of the Declaration of 107
Helsinki. 108
Study design and drug administration: The study was a single dose, single-center study. 109
All subjects received an oral suspension of 300.72 mg cefuroxime axetil (equivalent to 250 mg 110
cefuroxime) with 240 mL low-carbonated, calcium-poor mineral water at room temperature. The 111
study drug was administered directly after intake of a standardized breakfast with a significant 112
amount of fat. This breakfast contained 4 slices of crisp bread (50 g), 20 g margarine, 2 slices (40 113
g) of cheese (30% fat content), 25 g jam, 100 mL fruit tea, and 100 mL milk (3.5% fat content). 114
Blood sampling: All blood samples were drawn in heparinated tubes from a forearm vein 115
via an intravenous catheter. Blood samples were drawn immediately before administration and at 116
30, 60, and 90 min and at 2, 2.33, 2.67, 3, 3.33, 3.67, 4, 4.5, 5, 6, 8, 10, and 12 h after 117
administration of study drug. Samples were immediately centrifuged and immediately frozen and 118
stored at -70°C until analysis. 119
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Drug analysis: Samples were analyzed by means of an LC-MS/MS method, validated for 120
0.1 mL samples of human plasma. Plasma samples (0.1 mL) were diluted with buffer containing 121
the internal standard and deproteinized by addition of 400 µL of acetonitrile. After thorough 122
mixing, the samples were centrifuged for 5 min at 3,600 rpm at approximately +4 °C, and 123
acetonitrile was removed by extraction with 1 mL dichloromethane. The mixture was centrifuged 124
again and 30 µL of the aqueous phase of each sample were then chromatographed on a reversed-125
phase column (Waters Symmetry® C8), eluted with an isocratic solvent system consisting of 126
ammonium acetate buffer and acetonitrile (70/30, v/v) and monitored by LC-MS/MS with a 127
multiple reaction monitoring method as follows: Precursor → product ion for cefuroxime m/z 128
423 → m/z 207 and internal standard m/z 426 → m/z 156, both analyses were in negative mode. 129
Under these conditions cefuroxime and the internal standard were eluted after approximately 1.4 130
and 1.5 minutes. The Mac Quan software (version 1.5, PE Sciex, Thornhill, Ontario, Canada, 131
1991 - 1997) was used for evaluation of chromatograms. 132
The linearity of the cefuroxime calibration curve was shown from 0.00900 mg/L to 133
10.2 mg/L. The coefficient of correlation for all measured sequences of cefuroxime was at least 134
0.999. The lowest calibration standard of 0.00900 mg/L was set as the lower limit of 135
quantification of the assay for cefuroxime in human plasma. There was no observation below this 136
quantification limit. For the spiked quality control standards of cefuroxime the inter-day precision 137
ranged from 3.2 to 5.0% with an inter-day accuracy (relative error) between -4.3 and 2.1%. The 138
intra-day precision and relative error of the cefuroxime assay ranged from 0.7 to 4.0% and from 139
-0.1 to 3.4%. 140
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Population PK analysis 141
Computation: We applied the first order conditional estimation (FOCE) method with the 142
interaction estimation option in NONMEM version VI release 1.2 (NONMEM Project Group, 143
University of California, San Francisco, CA, USA) (5). Initial models were developed in 144
NONMEM V. Model development was primarily performed in NONMEM. The final population 145
PK model was additionally estimated in S-ADAPT (version 1.55, parallelized on a computer 146
cluster) using the importance sampling Parametric Monte-Carlo Expectation-Maximization 147
method (pmethod=8 in S-ADAPT) (4) and by the nonparametric adaptive grid (NPAG) algorithm 148
implemented in the USC*PACK (version 12.00) (34). WinNonlinTM Professional (version 4.0.1, 149
Pharsight Corp., Mountain View, CA, USA) was used for non-compartmental analysis and 150
statistics. 151
Parameter uncertainty was assessed by standard asymptotic formulas in S-ADAPT (4). As 152
NONMEM could not compute asymptotic standard errors in the $COV step for the final model, 153
nonparametric bootstrap methods with 100 replicates were used to calculate standard errors in 154
NONMEM as described previously (9). 155
Structural model: We considered one and two compartment disposition models with first-156
order, zero-order, or mixed-order (Michaelis-Menten) absorption with or without a lag-time. 157
Additionally, a semi-physiological model with a time-dependent release from stomach to 158
intestine and subsequent absorption into the central compartment was developed (Figure 1). The 159
differential equations for this model are (A1: amount of drug in stomach, A2: amount of drug in 160
intestine, A3: amount in central compartment, see Table 2 for parameter explanations): 161
A1Km
A1Vmax
dt
dA1
+
⋅−= (1) 162
A2kA1Km
A1Vmax
dt
dA2abs ⋅−
+
⋅= (2) 163
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A3V
CLA2k
dt
dA3abs ⋅−⋅= (3) 164
All initial conditions of all three compartments were zero. The stomach compartment (A1) 165
received a bolus dose of 250 mg cefuroxime at 0 h. The model is simplified, as it did not contain 166
a specific compartment for the prodrug cefuroxime axetil. It was assumed that cefuroxime axetil 167
is converted to cefuroxime before the ester-prodrug reaches the peripheral sampling site. This 168
assumption is considered justifiable for an ester prodrug. The maximum rate of release (Vmax) of 169
drug from the stomach compartment was described by a time dependent function: 170
( )
+
⋅+⋅=
γγ
γ
TPMTC
TPMEmax1VmaxTPMVmax
50
0 (4) 171
Time is denoted as time past meal (TPM). Starting from a maximum rate of release at time zero 172
(Vmax0), the Hill-function modifies the maximum rate of release over time with TC50 denoting 173
the time of 50% of the maximal change and Emax the extent of maximal change. For 174
TPM>>TC50 the maximum rate of release approaches Vmax0 · (1 + Emax). Therefore, an Emax 175
of -1 represents complete inhibition of gastric release, an Emax of 0 an unchanged maximum rate 176
of gastric release, and an Emax of 1 a twice as fast maximum rate of gastric release. 177
Competing models were discriminated by their predictive performance assessed via visual 178
predictive checks (VPCs), their objective function (or log-likelihood), and standard diagnostic 179
plots. 180
Parameter variability and observation model: For parametric population PK modeling in 181
NONMEM and S-ADAPT, we estimated the BSV of PK parameters by assuming a log-normal 182
distribution. The maximum extent of inhibition or stimulation of gastric release for the ith subject 183
(Emaxi) was constrained to a lower bound of -1 by the following logit-transformation: 184
( )( )
++
+⋅+=
i
ii
BSVEmaxLg_Emaxexp1
BSVEmaxLg_Emaxexp101-Emax (5) 185
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The Lg_Emax is the estimated population mean (arithmetic mean) on transformed scale and 186
BSVEmaxi the random deviate for the ith subject on transformed scale. This transformation 187
assures that all Emaxi range from -1 to 9. A sensitivity analysis showed that the upper limit of 9 188
did not affect the curve fits or predictive performance of this model. 189
Plasma concentration time profiles were simulated for at least 4,800 subjects for each 190
competing model to calculate the median and nonparametric 80% prediction interval (10% to 191
90% percentile) of the predicted concentrations. The same percentiles were calculated for the 192
observations to visually assess whether the simulated percentiles closely matched the percentiles 193
of the observations. For nonparametric population PK models in NPAG, this VPC was performed 194
either based on the nonparametric distribution of PK parameters characterized by the support 195
point matrix or based on a parametric, multivariate log-normal distribution of PK parameters. In 196
all three programs full variance-covariance matrices were estimated and used for MCS. 197
The residual unidentified variability was described by a combined additive and 198
proportional error model. We used the adaptive gamma option in NPAG to estimate the residual 199
error described by the assay error polynomial. 200
Monte Carlo simulation: A target of 60-70% fT>MIC has been identified for near-maximal 201
bactericidal activity of cephalosporins and a target of 40% is required for bacteriostasis (14, 18). 202
Therefore, we used a PKPD target of 65% fT>MIC for near-maximal bactericidal activity and 40% 203
fT>MIC for bacteriostasis. A range of MICs from 0.031 to 64 mg/L was considered. As the protein 204
binding for cefuroxime has been reported to range between 33 and 50% (22, 24, 46), we assumed 205
an average protein binding of 42% for cefuroxime. 206
We compared dosage regimens of 250 mg or 500 mg oral cefuroxime given every 12 h 207
(Q12h) or every 8 h (Q8h) at steady-state. For the final population PK models in NONMEM, S-208
ADAPT and NPAG, we simulated 10,000 subjects for each dosage regimen in absence of 209
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residual error. NONMEM was used to simulate the full concentration time profiles at steady-state 210
with very frequent sampling based on the final population PK model and the estimated full 211
variance-covariance matrix. The fT>MIC values were calculated by linear interpolation between 212
simulated time points as previously described (9). 213
The PTA was estimated by calculating the fraction of subjects who attained the PKPD 214
target at each MIC. The highest MIC with a PTA of at least 90% was used as the PKPD MIC 215
breakpoint. 216
To put these PTAs into clinical perspective, we calculated the PTA expectation value (40) 217
for successful treatment against pathogens from specific MIC distributions as described 218
previously (9). The PTA expectation value is the PTA for treatment of infections caused by 219
bacteria from a specific MIC distribution (ideally the MIC distribution of each local hospital). 220
The PTA expectation value was calculated based on published MIC distributions. We 221
used susceptibility data from the UK (39) collected in 2002 and 2003 on H. influenzae (n=581), 222
M. catarrhalis (n=269), and S. pneumoniae (n=519), susceptibility data from Canada (56) 223
collected in 2001 and 2002 on H. influenzae (n=1350), and susceptibility data from Germany (7) 224
collected in 2002 on H. influenzae (n=300), M. catarrhalis (n=308), S. pneumoniae (n=331), and 225
S. pyogenes (n=340). Additionally, we used susceptibility data from a global surveillance study 226
(6) collected between 1997 and 2000 on penicillin susceptible S. pneumoniae (n=2102) and 227
penicillin intermediate S. pneumoniae (n=1024), susceptibility data from a European surveillance 228
study (27) collected between 1997 and 1999 on S. pneumoniae (n=2018) and S. pyogenes 229
(n=662), and susceptibility data from North America (26) collected between 1997 and 1999 on S. 230
pyogenes (n=119), S. pneumoniae (n=417), H. influenzae (n=300), and M. catarrhalis (n=231). 231
The PTA expectation values were also calculated for the MIC distributions for H. influenzae 232
(n=66,947), K. pneumoniae (n=34,629), M. catarrhalis (n=14,308), S. aureus (n=10,620), S. 233
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pneumoniae (n=18,869), N. gonorrhoeae (n=655), and N. meningitidis (n=257) based on the 234
multinational database of the European Committee on Antimicrobial Susceptibility Testing 235
(EUCAST) (19). 236
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Results 237
The PK parameters from non-compartmental analysis (Table 1) were in good agreement 238
with literature (42, 46). We found an average ± SD terminal half-life of 1.34 ± 0.13 h and peak 239
concentration of 2.64 ± 0.64 mg/L between 2 and 5 h post dose. The variability in terminal half-240
life (9.4% coefficient of variation) was lower than variability in apparent clearance (20%), peak 241
concentration (24%) and time of peak (24%). 242
A biphasic absorption pattern was found for 5 of 24 subjects and a “plateau-like” peak for 243
8 of 24 subjects (Figure 2). These shapes could not be described by standard first-order or zero-244
order absorption models that included a lag-time. Compared to the final semi-physiological 245
model, the objective function difference in NONMEM was 721 points for the first-order 246
absorption model with lag-time, 359 points for the zero-order absorption model with lag-time, 247
and 189 points for the Michaelis-Menten absorption model with lag-time (likelihood ratio test: 248
p<0.0001 for all comparisons). The semi-physiological absorption model with a two-249
compartment disposition model had a 25 point lower objective function compared to the same 250
absorption model with one disposition compartment. As the latter model showed precise curve 251
fits and an excellent predictive performance, we chose the simpler model as final model. 252
The individual curve fits for the semi-physiological model (Figure 1) were excellent in all 253
three programs (Figure 2). The model was flexible enough to fit profiles with “sharp” peaks, 254
“plateau-like” peaks, and dual peaks. No estimation algorithm (program) provided the best fit for 255
every subject. The linear regression plot of individual fitted vs. observed concentrations had a 256
slope of 1.007 and intercept of -0.014 mg/L in NONMEM (r = 0.9941), a slope of 1.011 and 257
intercept of -0.011 mg/L in S-ADAPT (r = 0.9928), and a slope of 1.003 and intercept of 258
+0.011 mg/L in NPAG (r = 0.9935). 259
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The final estimates (Table 2 and Table 3) were precise. Relative standard errors were 31% 260
or less for all population means (except for Km, 70% in NONMEM and 39% in S-ADAPT) and 261
41% or less for all BSV estimates. Estimates for apparent clearance and volume of distribution 262
were similar between all three programs. For the absorption parameters, differences were more 263
apparent. The low Km/Dose (mean: 0.433%) from NONMEM indicated that the release from 264
stomach was estimated to be essentially a zero-order process and that Vmax was inhibited in 265
some subjects and stimulated in others as indicated by the negative or positive individual Emax. 266
In S-ADAPT, the release from stomach to intestine had partial first-order and zero-order 267
properties as indicated by the estimate of 42.6% for Km/dose. This rate of release was more 268
notably stimulated, since the median [90% percentile] of individual Emax were 1.82 [5.55]. 269
NPAG estimated the release from stomach to intestine primarily as a first-order process 270
(Km/Dose: 343%) and stimulation of gastric emptying was more pronounced compared to S-271
ADAPT. The mean time of 50% change in the maximum rate of gastric emptying (TC50) after a 272
standardized breakfast was 1.61 h in NONMEM and S-ADAPT and 2.08 h in NPAG. Individual 273
TC50 estimates were variable (Table 2). 274
The VPCs (Figure 3) indicated that the nonparametric simulation based on the support 275
points from NPAG yielded the closest match between predicted and observed concentrations. 276
This was expected, since this simulation is based on the nonparametric distribution of PK 277
parameters that yielded precise and unbiased fits for all 24 concentration-time profiles. The 278
parametric simulations based on the estimates from S-ADAPT and NPAG matched the median 279
and 10-90% percentile of the observations more closely between approximately 1 and 4 h 280
compared to NONMEM (Figure 3). For the three parametric simulations, S-ADAPT yielded the 281
best representation of the observations during the terminal phase followed by NONMEM. The 282
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predicted variability was slightly too wide during the terminal phase for the parametric simulation 283
(Figure 3) using the variance-covariance matrix derived from the support point matrix in NPAG. 284
As the VPCs showed that the nonparametric simulation based on NPAG and the 285
parametric simulation based on S-ADAPT had the best predictive performance, breakpoints from 286
MCS are reported for these two models. Breakpoints of the other two simulation models were 287
within one 1.5-fold dilution. The PTA vs. MIC profiles were similar for these two models (Figure 288
4). For the bacteriostasis target fT>MIC ≥ 40%, the PKPD MIC breakpoint in NPAG / S-ADAPT 289
was 0.5 / 0.375 mg/L for 250 mg Q12h and 0.5 / 0.5 mg/L for 250 mg Q8h. As these PK models 290
are linear with dose, 500 mg Q12h achieved breakpoints of 1 / 0.75 mg/L and 500 mg Q8h 291
achieved 1 / 1 mg/L for the fT>MIC ≥ 40% target. For the near-maximal killing target fT>MIC ≥ 292
65%, PKPD MIC breakpoints were identical between S-ADAPT and NPAG and were 293
0.094 mg/L for 250 mg Q12h, 0.375 mg/L for 250 mg Q8h, 0.188 mg/L for 500 mg Q12h, and 294
0.75 mg/L for 500 mg Q8h. Additional simulations with a hypothetical faster rate of absorption 295
showed that the PKPD MIC breakpoints were lower, if rate of absorption was faster. The 296
decrease in breakpoints was most pronounced for the 65% fT>MIC target and Q12h dosing. 297
High PTA expectations values (≥97.8% for the 40% fT>MIC target) were achieved by all 298
three dosage regimens shown in Table 4 against S. pyogenes, penicillin susceptible S. 299
pneumoniae, N. gonorrhoeae, and N. meningitidis (results not shown for the latter two 300
pathogens). High (>90%) PTA expectation values were achieved against some but not all MIC 301
distributions for S. pneumoniae. The PTA expectation values were notably lower for penicillin 302
intermediate S. pneumoniae, H. influenzae, M. catarrhalis, S. aureus, and K. pneumoniae (results 303
not shown for the latter two pathogens). 304
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Discussion 305
Cefuroxime axetil has been used widely for treatment of community-acquired upper and 306
lower respiratory tract infections (including community-acquired pneumonia) (46) that are often 307
caused by S. pneumoniae, H. influenzae, M. catarrhalis, and S. pyogenes. The reported MIC90’s 308
of cefuroxime against H. influenzae and M. catarrhalis are often 2 or 4 mg/L (42, 46). Whereas 309
most isolates would be deemed susceptible by the CLSI breakpoint of ≤4 mg/L for those 310
pathogens, a significant number of isolates would be considered resistant according to the BSAC 311
and DIN susceptibility breakpoint of ≤1 mg/L. To evaluate which breakpoint is in better 312
agreement with the predicted PKPD MIC breakpoint, we applied parametric and nonparametric 313
population PK modeling and MCS for cefuroxime axetil. 314
The fT>MIC best predicts the clinical and microbiological success for cephalosporins. As 315
the prolonged absorption phase of cefuroxime axetil has a notable influence on the fT>MIC values, 316
it was critical to develop a population PK model that adequately captures the rate of absorption 317
and its between subject variability that was observed in our and in literature studies. We 318
intensively qualified the predictive performance of our population PK model to assure that the 319
model predicted PKPD MIC breakpoints are sound. An 8-fold increase (from 125 to 1000 mg) in 320
the oral cefuroxime axetil dose after a meal causes a 7.5-fold increase in the area under the curve 321
(AUC) and 6.5-fold increase in peak concentrations (Cmax) (21) and causes no systematically 322
altered time of peak concentration (Tmax) (21). Data from rats suggest a saturable component for 323
the rate of absorption (43-45). 324
We found a range of complex absorption patterns in healthy volunteers (Figure 2). Models 325
with first-order or zero-order absorption with or without a lag-time can describe the dose-326
proportionality in AUC and Cmax (21), but cannot describe a mixed-order rate of absorption and 327
the complex absorption profiles observed in our study. A mixed-order absorption model with a 328
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lag-time could describe the plasma concentration time profiles of cefuroxime axetil at one dose 329
level (results not shown). However, such a mixed-order absorption model would predict a notable 330
increase in Tmax with cefuroxime doses. This is in disagreement with the data by Finn et al. (21). 331
A mixed-order absorption model cannot describe profiles with a dual peak. 332
Food increases the extent of bioavailability of cefuroxime axetil from 36% in fasting 333
subjects to 52% after a meal (21). Similar results were found by Williams & Harding (55). In 334
both studies (21, 55), Tmax is prolonged by approximately 0.6 to 0.7 h for administration with 335
food. Potential reasons for the increased bioavailability and slightly longer Tmax under fed 336
conditions include a more complete dissolution of cefuroxime axetil due to a longer residence 337
time in the stomach and due to bile acid secretion stimulated by the presence of lipids in the 338
intestine (37, 51). 339
The proposed absorption model (Figure 1) is in agreement with the observations of 340
literature studies at various dose levels of cefuroxime axetil (21, 55). One limitation of our study 341
is that we only had data at 250 mg oral cefuroxime. Therefore, our simulation results for 500 mg 342
oral cefuroxime q12h should be interpreted conservatively. The saturable rate of absorption is 343
described by a mixed-order release of drug from stomach to intestine that is primarily saturated 344
due to the presence of food and not due to the cefuroxime axetil dose. In our model, Vmax and 345
Km are expressed as fractions of dose and this causes Tmax to be independent of dose. The 346
second peak in some profiles was described by an increase in rate of gastric release over time. 347
This semi-physiological model proved to be robust (Table 2) and to yield excellent 348
individual curve fits (Figure 2) for all three population PK algorithms and programs. This 349
absorption model was able to capture relevant features of complex oral absorption profiles (25, 350
33, 54) which showed that the rate of gastric emptying is important for the absorption of 351
amoxicillin and clavulanic acid (54). 352
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Estimation of a full variance-covariance matrix and its use during simulations yielded the 353
best predictive performance, caused no instability during estimation and did not prolong runtimes 354
in S-ADAPT and NPAG. This saves modeling time, since there are fewer decisions about the 355
choice of the parameter variability model in S-ADAPT and NPAG compared to NONMEM. 356
NPAG does not directly estimate the variance-covariance matrix rather than always derives this 357
full matrix from the estimated support points. Estimating a full variance-covariance matrix in 358
NONMEM tended to cause model instability (i.e. unsuccessful termination messages and 359
inability of NONMEM to obtain asymptotic standard errors) and notably increased estimation 360
times in NONMEM. 361
The most important difference between the parametric and nonparametric approach is that 362
the former describes BSV by a parametric, multivariate distribution (often a multivariate log-363
normal distribution). In contrast, nonparametric methods use a discrete set of support points to 364
exactly store the BSV and correlation structure of all estimated PK parameters in the studied 365
patient population. In the simplest case, each support point essentially represents a complete set 366
of PK parameters for one patient and has a probability of 1 / number of subjects. 367
As the variability of individual PK parameter estimates in the studied subject population 368
is “exactly” represented by the set of support points, it was expected that the nonparametric VPC 369
had the best predictive performance (Figure 3). The parametric VPC using estimates from S-370
ADAPT had the best predictive performance among the parametric VPCs. We reported the 371
results from a parametric MCS in S-ADAPT with 10,000 virtual patients and from a 372
nonparametric MCS in NPAG. As every support point had the same probability for this study 373
with frequent sampling, the latter MCS was identical to simulating from the individual PK 374
parameter estimates of the 24 subjects. 375
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The PTA vs. MIC profiles from S-ADAPT and NPAG were similar (Figure 4). For 250 376
mg oral cefuroxime q12h or q8h, PKPD MIC breakpoints fell between 0.375 and 0.5 mg/L for 377
the bacteriostasis target 40% fT>MIC, but were approximately 4-fold lower (0.094 mg/L) for q12h 378
dosing of 250 mg and the near-maximal killing target 65% fT>MIC. Dosing 250 mg (500 mg) 379
every 8h increased the latter breakpoint to 0.375 mg/L (0.75 mg/L). Koeth et al. (32) determined 380
a PKPD MIC breakpoint of ≤1 mg/L for susceptibility for standard cefuroxime dosage regimens 381
based on the fT>MIC ≥ 40-50%. This higher breakpoint is expected, since Koeth et al. (32) used 382
average PK parameters for simulation and did not include BSV. 383
We did not manually increase the BSV in clearance and volume of distribution to mirror 384
the higher variability in critically ill patients, as the relatively low PKPD MIC breakpoints for 385
oral cefuroxime do not support treatment of critically ill patients. A higher variability in PK 386
parameters and lower average extent of bioavailability after intake of cefuroxime in the fasting 387
state (21, 55) are expected to result in lower PKPD MIC breakpoints than reported here. As the 388
sample size of 24 subjects probably did not allow us to obtain precise estimates of the between 389
subject variability in the whole patient population, the results of our MCS should be interpreted 390
conservatively. The probability of clinical success of the simulated cefuroxime axetil dosage 391
regimens will ultimately depend on the MIC distribution of the pathogen(s) of interest in the local 392
hospital. Dosing 250 mg cefuroxime Q8h instead of Q12h had only a small benefit for S. 393
pyogenes, penicillin susceptible S. pneumoniae, since 250 mg Q12h achieved high PTA 394
expectation values, especially for the bacteriostasis target (Table 4). 395
Administering cefuroxime axetil every 8 h yielded notably higher PTA expectation values 396
for some but not all MIC distributions of H. influenzae and M. catarrhalis. Although 500 mg oral 397
cefuroxime q8h are above the typically recommended oral cefuroxime dose, parenteral doses of 398
up to 6,000 mg split into four daily doses are recommended for severe infections. 399
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To put the results of our MCS into a clinical perspective, we compared our PTA 400
expectation values to the microbiological and clinical outcomes in clinical studies. Clinical data 401
in children with pneumococcal acute otitis media suggest a breakpoint of about 0.5 mg/L for oral 402
cefuroxime (15). Shah et al. (48) studied hospitalized patients and outpatients in 14 countries in 403
Europe, Africa, and South America with acute exacerbation of chronic bronchitis (AECB) and 404
find a 60% bacteriological overall cure rate for 250 mg oral cefuroxime twice daily. This cure 405
rate is comparable to the placebo response rate for AECB (31, 47), depending on the severity of 406
disease. Interestingly 56% (22 of 39) of the H. influenzae isolates were eradicated. The authors 407
report a clinical cure rate of 66% / 61% (per-protocol / intention-to-treat) at their clinical endpoint 408
(5-14 days post treatment) and of 53% / 39% at the follow-up 3 to 4 weeks post treatment. 409
Although the authors did not report the MICs in those patients, the failures for the treatment of 410
H. influenzae show a sub-optimal effectiveness of oral cefuroxime against this pathogen. 411
Chodosh et al. (10) find a significantly lower microbiological eradication rate for 500 mg 412
oral cefuroxime bid (82%) vs. 500 mg oral ciprofloxacin bid (96%) in an outpatient trial with 413
AECB patients. Cefuroxime eradicated S. pneumoniae in 100% of the cases (13/13), but had only 414
an eradication rate of 76% (19/25) for M. catarrhalis and of 86% (19/22) for H. influenzae. In an 415
outpatient trial with AECB patients, de Abate et al. (16) found a clinical cure rate of 77% for 416
250 mg oral cefuroxime bid which was significantly lower than the clinical cure rate of 89% for 417
400 mg gatifloxacin once daily. The microbiological eradication rate was 77% for cefuroxime 418
and 90% for gatifloxacin. 419
A trial in patients with community-acquired pneumonia (20) showed a significantly lower 420
microbiological eradication rate of H. influenzae for combinations of intravenous ceftriaxone (1 421
to 2 g once daily or bid) and/or oral cefuroxime axetil (500 mg bid) compared to intravenous 422
and/or oral levofloxacin (500 mg once daily). The former regimen had an eradication rate of 79% 423
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and the latter of 100%. Upchurch et al. (50) found a clinical cure rate of 74.5% for treatment of 424
acute bacterial sinusitis with 250 mg oral cefuroxime for 10 days but did not document the 425
bacterial etiology. Alvarez-Sala et al. (1) found a clinical success rate of approximately 82% for 426
patients with H. influenzae and S. pneumoniae for 250 mg oral cefuroxime Q12h. 427
In conclusion, we developed a semi-physiological population PK model for oral 428
cefuroxime which provided precise and unbiased individual curve fits for complex absorption 429
profiles and had an excellent predictive performance. The nonparametric VPC based on NPAG 430
showed a better predictive performance than the best parametric VPC in S-ADAPT. The PK/PD 431
MIC breakpoint was 0.375 to 0.5 mg/L for 250 mg oral cefuroxime Q12h and 0.5 mg/L for 250 432
mg oral cefuroxime Q8h for the bacteriostasis target fT>MIC ≥ 40%. Dosing 250 mg cefuroxime 433
Q8h instead of Q12h increased the breakpoint for the near-maximal killing target 65% fT>MIC 434
from 0.094 mg/L to 0.375 mg/L. These breakpoints were (slightly) lower than the susceptibility 435
breakpoint of ≤1 mg/L provided by the BSAC and DIN, whereas the CLSI breakpoint of ≤4 mg/L 436
is higher for most pathogens. Oral cefuroxime (250 mg Q12h or Q8h) achieved high PTA 437
expectation values against S. pyogenes (≥96.7%) and penicillin-susceptible S. pneumoniae 438
(≥91.4%), but notably lower PTA expectation values against M. catarrhalis, penicillin-439
intermediate S. pneumoniae, and H. influenzae for most studied MIC distributions from various 440
countries. Administering 250 mg oral cefuroxime Q8h instead of Q12h was most beneficial for 441
the near-maximal killing target for MICs between 0.094 and 0.375 mg/L. Future clinical studies 442
that assess the MIC of the causative pathogen are warranted to validate these predictions for the 443
clinical and microbiological success for Q12h and Q8h cefuroxime axetil dosage regimens. 444
445
Acknowledgment 446
We thank Dr George Drusano for fruitful discussions about this project.447
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448
Table 1: PK parameters from non-compartmental analysis for 250 mg oral cefuroxime 449
given as cefuroxime axetil 450
451
Parameter Unit Average ± SD Median [Min - Max]
Area under the curve from time zero to infinity
mg h L-1 11.9 ± 2.49 11.6 [8.49 - 18.1]
Peak concentration mg L-1 2.64 ± 0.64 2.54 [1.65 - 3.90]
Time of peak concentration h 2.98 ± 0.73 2.83 [2.00 - 5.00]
Terminal half-life h 1.34 ± 0.13 1.35 [1.08 - 1.54]
Apparent total clearance L h-1 21.8 ± 4.29 21.5 [13.8 - 29.4]
Apparent volume of distribution at steady-state a
L 54.1 ± 15.7 51.2 [34.7 - 102]
Apparent volume of distribution during the terminal phase
L 41.7 ± 7.64 44.4 [27.4 - 54.9]
Time of total concentration above 1 mg/L
h 4.97 ± 0.79 4.90 [3.43 - 7.08]
Time of total concentration above 0.5 mg/L
h 6.90 ± 0.77 6.75 [5.13 - 9.02]
452
453
a: To calculate the mean residence time after iv bolus administration, mean input time was 454
estimated by 0.5 times time of peak concentration assuming approximately zero-order 455
kinetics of drug input. 456
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457
Table 2: Population PK parameters for 250 mg oral cefuroxime given as cefuroxime axetil 458
after a breakfast with a significant amount of fat 459
460
Parameter Symbol Unit Population mean (Standard error)
i
Median [10-90% percentile] of individual estimates
NONMEM S-ADAPT NPAG
Fixed effects
Apparent clearance CL/F L h-1 23.0 (8.1%)
21.7 [16.8-27.9]
21.7 (4.1%)
21.5 [17.1-27.8]
21.8 c
21.8 [17.0-28.3]
Apparent volume of distribution
V/F L 40.7 (6.3%)
39.7 [28.8-47.6]
38.7 (4.1%)
40.2 [30.4-45.8]
34.8
35.6 [25.5-48.0]
Maximum rate of release from stomach to intestine at time zero divided by dose
Vmax0 / Dose
1/h 0.381 (12%) a
0.308 [0.200-0.471]
0.505 (22%)a
0.418 [0.164-1.48]
1.53 a
1.35 [0.500-2.66]
Fraction of dose associated with 50% of Vmax0
Km / Dose 0.433% (70%) a
0.488% [0.180-3.09]
42.6% (39%) a
38.1% [4.70-478]
343% a
363% [193-498]
Fastest half-life of gastric release, if fraction of dose in stomach << Km/Dose
Ln(2) / Vmax0 ·
Km min 0.534 [0.270-6.36] 30.4 [13.0-120] 104 [49.3-155]
Absorption half-life from intestine to central comp.
Tabs f min 9.00 (29%)
14.2 [3.48-30.9]
9.34 (15%)
9.20 [4.70-16.2]
16.9 17.5 [4.00-32.2]
Time past meal at which Vmax changed by 50%
TC50 h 1.61 (14%)
2.06 [1.09-3.26]
1.61 (20%)
1.53 [0.619-5.05]
2.08
2.33 [1.14-5.31]
Maximum fractional change on transformed scale
Lg_Emax - -3.59 (8.9%)
-3.14 [-4.15- -1.79]
-0.762 (31%)
-0.937 [-1.96-0.641]
0.515 c
-0.50 [-3.44-4.95]
Maximum fractional change Emax - -0.582 [-0.845-0.426] 1.82 [0.242-5.55] 2.78 [-0.582-8.93]
Hill coefficient γ - 10 (fixed) g 10 (fixed) g 10 (fixed) g
Random effects b
BSV(CL/F) 0.202 b (18%) h 0.198 b (31%) h 0.193 e
BSV(V/F) 0.201 (16%) 0.183 (32%) 0.258
BSV(Vmax0 / Dose) 0.401 (22%) 0.900 (30%) 0.518
BSV(Km / Dose) 1.23 (37%) 1.80 (27%) 0.403
BSV(Tabs) 0.867 (23%) 0.600 (41%) 0.634
BSV(TC50) 0.536 (25%) 0.946 (31%) 0.580
BSV(Lg_Emax) 1.09 d (30%) 0.990 d (29%) 3.03 d
Proportional residual error 0.0754 (15%) 0.0851 (5.5%) 0.0620
Additive residual error mg/L 0.0065 (24%) 0.0029 (48%) 0.0062
461 462
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a: Vmax0 and Km were estimated and are reported as a fraction of the cefuroxime dose. This assumes 463
that the rate of drug release from stomach is primarily determined by the meal and not by the amount 464
of cefuroxime axetil. This assumption yields a linear increase in peak concentrations and no change 465
of time to peak with dose which is consistent with literature data. 466 b: These estimates for random effects represent the apparent coefficient of variation for the between 467
subject variability. All variability estimates are reported as square roots of the estimated variance, 468
since this square root is an approximation of the coefficient of variation of a normal distribution on 469
natural logarithmic scale. 470 c: For NPAG, the medians of the support point matrix are provided. For Lg_Emax, the arithmetic mean 471
is reported, since the distribution of Lg_Emax was more symmetric and since this choice for 472
Lg_Emax yielded a better predictive performance in the visual predictive check. 473 d: The variability estimate for Lg_Emax is reported as the standard deviation on the transformed scale. 474 e: Estimates are coefficients of variation calculated based on the standard deviation and mean from the 475
support point matrix. 476 f: The corresponding rate constant kabs (unit 1/h) is calculated as ln(2) / (Tabs/60). 477 g: The Hill coefficient was initially estimated and estimates ranged between 10 and 15. To improve 478
model stability, the Hill coefficient was subsequently fixed to 10. This had no notable effect on the 479
curve fits and the objective function. 480 h: The value in brackets represents the uncertainty of the respective between subject variability 481
estimate. The value in brackets is the relative standard error of the estimated variance. 482 i: Standard errors are derived from a nonparametric bootstrap for NONMEM and are asymptotic 483
standard errors for S-ADAPT. 484
485
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486
Table 3: Variance-covariance matrix for the final population PK model in S-ADAPT (see 487
Table 2 for parameter explanations) 488
489
CL/F V/F Vmax0/Dose Km/Dose Tabs TC50 Lg_Emax
CL/F 0.0393
V1/F 0.0326 0.0333
Vmax0/Dose 0.1143 0.0877 0.8100
Km/Dose 0.2693 0.2066 1.5925 3.2560
Tabs 0.0083 0.0142 -0.1036 -0.1640 0.3604
TC50 0.0931 0.0389 0.5324 1.0200 0.0459 0.8945
Lg_Emax 0.1530 0.1131 0.5702 1.1824 0.0414 0.8197 0.9793
490
491
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492
Table 4: PTA expectation values for various cefuroxime axetil dosage regimens and PKPD 493
targets for the parametric Monte Carlo simulation based on S-ADAPT 494 495
Pathogen Region and year (no. of
isolates) PTA expectation value
PKPD Target fT>MIC ≥40% fT>MIC ≥65%
Dosage regimen 250 mg 250 mg 500 mg 250 mg 250 mg 500 mg
Q12h Q8h Q8h Q12h Q8h Q8h
S. pyogenes US & Canada 1997-99 (n=119) (26)
99.2% 99.2% 99.2% 98.9% 99.2% 99.2%
Germany 2002 (n=340) (7) 99.6% 99.8% 100% 99.3% 99.6% 99.9%
Europe 1997-1999 (n=662) (27) 98.9% 99.3% 99.6% 96.7% 98.9% 99.4%
S. pneumoniae US & Canada 1997-99 (n=417) (26)
65.9% 67.6% 70.2% 56.4% 65.6% 68.1%
UK 2002-2003 (n=519) (39) 94.4% 95.0% 96.2% 90.6% 94.2% 95.2%
Germany 2002 (n=331) (7) 97.3% 98.0% 98.2% 93.4% 97.0% 98.0%
Europe 1997-1999 (n=2018) (27) 71.5% 74.1% 77.8% 63.2% 70.8% 74.7%
EUCAST (n=18,869) (19) 100% 100% 100% 98.0% 100% 100%
PSSP US & Canada 1997-99 (n=249) (26)
97.8% 98.5% 99.3% 91.4% 97.6% 98.6%
Global 1997-2000 (n=2102) (6) 98.2% 99.0% 99.6% 92.7% 98.0% 99.2%
Europe 1997-1999 (n=1274) (27) 98.4% 99.1% 99.6% 93.5% 98.2% 99.2%
PISP US & Canada 1997-99 (n=70) (26)
44.5% 52.5% 65.1% 10.9% 43.4% 55.0%
Global 1997-2000 (n=1024) (6) 46.0% 53.9% 64.4% 19.9% 44.0% 55.7%
Europe 1997-1999 (n=458) (27) 39.9% 48.8% 60.8% 18.0% 37.8% 50.9%
H. influenzae US & Canada 1997-99 (n=300) (26)
18.5% 45.3% 83.8% 1.7% 16.0% 53.4%
Canada 2001-2002 (n=1350) (56) 19.3% 44.4% 81.6% 4.8% 17.3% 52.2%
UK 2002-2003 (n=581) (39) 41.1% 67.6% 88.8% 3.9% 33.7% 72.4%
Germany 2002 (n=300) (7) 72.4% 91.6% 98.1% 13.2% 64.7% 93.6%
EUCAST (n=66,947) (19) 41.5% 72.7% 99.1% 4.9% 34.9% 79.3%
M. catarrhalis US & Canada 1997-99 (n=231) (26)
26.2% 49.5% 82.5% 3.6% 22.7% 56.0%
UK 2002-2003 (n=269) (39) 35.1% 63.0% 93.0% 3.6% 30.0% 69.7%
Germany 2002 (n=308) (7) 11.8% 35.5% 77.4% 1.5% 10.5% 43.6% 496 PSSP: Penicillin susceptible S. pneumoniae, PISP: Penicillin intermediate S. pneumoniae. 497
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Figure legends: 498
499
Figure 1: Structure of the final PK model. For the simulation of Vmax/Vmax0 profiles, 500
Emax values of 3 (long dashed line), 1 (continuous line) or -0.5 (dotted line), a 501
time of 50% change (TC50) of 2.5 h and a Hill coefficient of 10 were used. 502
503
Figure 2: Individual curve fits from NONMEM (dashed line), S-ADAPT (dotted line), and 504
NPAG (continuous line) overlaid on observations (markers) 505
506
Figure 3: Visual predictive check for a single oral dose of 250 mg cefuroxime as cefuroxime 507
axetil after a breakfast with a significant amount of fat for the final model in each 508
program. The continuous lines are the 10, 50, and 90% percentiles of the simulated 509
concentrations, the broken lines are the same percentiles of the observations, and 510
the markers show the observations. Ideally, the continuous and corresponding 511
broken lines should fall onto each other. The insets show the terminal phase on 512
semi-logarithmic scale. 513
514
Figure 4: Probability of target attainment vs. MIC profiles for the PKPD targets fT>MIC ≥ 515
40% (top) and fT>MIC ≥ 65% (bottom) for the nonparametric Monte Carlo 516
simulation based on NPAG (continuous lines) and the parametric Monte Carlo 517
simulation based on S-ADAPT (broken lines) 518
519
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