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Antimicrobial Agents and Chemotherapy, January 1999, p. 134-140, Vol. 43, No. 1
0066-4804/99/$04.00+0
Copyright © 1999, American Society for Microbiology. All rights reserved.
Limited-Sampling Strategy Models for Itraconazole
and Hydroxy-Itraconazole Based on Data from a Bioequivalence
Study
Guilherme
Suarez-Kurtz,*,1,2
Fernando A.
Bozza,2
Flavio L.
Vicente,2
Cristiano G.
Ponte,1,2 and
Claudio
J.
Struchiner1
Instituto Nacional de Câncer,
Coordenação de Pesquisa, Programa de Farmacologia, Rio de
Janeiro,1 and
Unidade de Farmacologia Clínica,
Santa Casa da Misericórdia, Rio de Janeiro,2 Brazil
Received 20 March 1998/Returned for modification 21 August
1998/Accepted 29 September 1998
 |
ABSTRACT |
The extensive interindividual variability in oral bioavailability
of itraconazole prompted an assessment of the bioequivalence of two
formulations marketed in Brazil, namely, Sporanox (reference) and
Traconal (test). Eighteen healthy volunteers received single 200-mg
oral doses of each formulation at 2-week intervals in a randomized,
crossover protocol. The concentrations of itraconazole and
hydroxy-itraconazole in plasma were measured by high-performance liquid
chromatography, and the datum points (n = 396) were
subsequently used to develop limited-sampling strategy models for
estimation of the areas under the curve (AUCs) for both compounds. The
90% confidence intervals for individual percent ratios (test/reference formulations) of the maximum concentration of drug in serum, the AUC
from 0 to 48 h and the AUC from time zero to infinity
(AUC0-
) for itraconazole and hydoxy-itraconazole were
below the range of 80 to 125%, suggesting that these formulations are
not bioequivalent. Linear regression analysis of the
AUC0-
against time and a "jackknife" validation
procedure revealed that models based on three sampling times accurately
predict (R2, >0.98; bias, <3%; precision, 3 to 7%) the AUC0-
for each of the four
formulation-compound pairs tested. Increasing the number of sampling
points to more than three adds little to the accuracy of the estimates
of AUC0-
. The three-point models developed for the
reference formulation were validated retrospectively and were found to
predict within 2% the AUC0-
reported in previous
studies performed under similar protocols. In conclusion, the data in
this study indicate (i) that the tested formulations are not
bioequivalent when single doses are compared and (ii) that
limited-sampling strategy models based on three points predict
accurately the AUC0-
s for itraconazole and
hydroxy-itraconazole and could be a valuable tool in pharmacokinetic and bioequivalence studies of single oral doses of itraconazole.
 |
INTRODUCTION |
Itraconazole is a broad-spectrum
triazole antifungal agent which acts primarily by inhibiting the
biosynthesis of ergosterol, an essential component of fungal cell
membranes. The pharmacokinetics of orally administered itraconazole in
humans (7, 9) are characterized by considerable
interindividual variation in drug absorption, extensive tissue
distribution, with the concentrations in tissue being many times higher
than those in plasma, and an elimination half-life of ca. 24 h.
Itraconazole is extensively metabolized in humans, yielding over 30 metabolites, including the antifungally active metabolite
hydroxy-itraconazole.
The pharmacokinetics of orally administered itraconazole in plasma are
dose dependent, and absorption from the gastrointestinal tract is
affected by various factors, such as food intake versus fasting state
(20, 22), gastric pH (12, 13), drug interactions (12, 18), AIDS (18), and the pharmaceutical
formulation of the drug (2, 19). Itraconazole is commonly
marketed as gelatin capsules that contain drug-coated microspheres.
Three such formulations (100 mg of itraconazole/capsule) are registered and available in Brazil. Two of these, Sporanox (SPOR) and Itranax, have the same manufacturer (Janssen-Cilag Farmacêutica Ltda.) and
are distinct from the third formulation, Traconal (TRAC; Achê Laboratórios Farmacêuticos s.a.). The lack of
bioequivalence data among these formulations provided the initial drive
for the present comparative study of the bioavailability of SPOR versus that of TRAC. The data collected for the bioequivalence analysis were
then used for the development of a limited-sampling strategy (LSS) for
estimation of the areas under the curve (AUCs) for both itraconazole
and hydroxy-itraconazole. Strategies that use a limited number of
samples and that have proven to be sufficiently robust to allow
accurate estimation of individual pharmacokinetic parameters are very
valuable, especially if sampling at "unsociable" hours is avoided.
In addition, the costs of sample acquisition and the assay are
decreased by the reduction in the number of samples that are required.
 |
MATERIALS AND METHODS |
Clinical protocol.
The open-label, randomized study
described here used a two-way, crossover design in which the two
treatment phases were separated by a 14-day washout period. The study
protocol was approved by the Ethics Committee of the Hospital
Universitário Clementino Fraga Filho, Rio de Janeiro, Brazil, and
all participants provided written, informed consent. Eighteen healthy
volunteers (7 men and 11 women; age range, 19 to 48 years; mean ± standard error of the mean [SEM] age, 27.1 ± 1.7 years; weight
range, 50 to 77 kg; mean ± SEM weight, 63.9 ± 1.9 kg) were
enrolled in the study. They were nonsmokers and had no clinically
significant abnormalities, as determined 2 weeks before the start of
the study on the basis of a medical history, physical examination,
electrocardiogram, and standard laboratory test results (i.e., blood
cell count, biochemical profile, and urinalysis). The enrolled
volunteers had not used any investigational drug in the 6 months
preceding the present study. Prescription drugs other than oral
contraceptives were not allowed during the study. Itraconazole, because
of its affinity for mammalian cytochrome P-450, has the potential for clinically important interactions with oral contraceptives. Indeed, unwanted pregnancy and pill cycle disturbances, such as breakthrough bleedings and delayed or absent withdrawal bleedings, have been reported during concomitant use of itraconazole and oral contraceptives (15, 16). However, the six volunteers in this study who were taking oral contraceptives reported no such disturbances.
In each treatment phase, the volunteers were hospitalized at 7:00 a.m.,
after an overnight (>10-h) fast. A catheter was introduced in a
superficial vein, and then the volunteers received a standard breakfast, consisting of 200 ml of homogenized milk, two slices of
bread with ham and cheese, and one apple. After 30 min, each volunteer
took two 100-mg itraconazole capsules with 200 ml of water. Nine
volunters received the two formulations on one day in one sequence and
on the other day in the opposite sequence in a balanced crossover
design. Water intake was restricted for 2 h after drug
administration. At 4 and 7 h after drug administration, the
volunteers received a standard lunch and snack, respectively, and after
10 h they were discharged. The volunteers returned to the hospital
24 and 48 h after drug administration for blood sampling.
Eight-milliliter blood samples were drawn into heparinized tubes 5 min
before (zero time) and 1, 2, 3, 4, 5, 6, 8, 10, 24, and 48 h after
the administration of itraconazole. Each blood sample was centrifuged
within 30 min after collection, and the plasma was separated and stored
at
20°C. The plasma itraconazole and hydroxy-itraconazole
concentrations were measured by high-performance liquid chromatography
(21). The applied method has a quantification limit of 2.0 ng/ml for both itraconazole and hydroxy-itraconazole. Standard curves
were linear in the evaluated concentration ranges, and the overall
precision, as obtained from tests with independently prepared control
plasma samples, ranges from 2.6 to 8.6% (12.7 to 1,979 ng/ml) for
itraconazole and from 3.4 to 10.1% (12.5 to 1,961 ng/ml) for
hydroxy-itraconazole.
Drugs.
The products used in the study were commercially
available as SPOR (batches 602708 and 602798; date of manufacture,
November 1996) and TRAC (batches 96EE078 and 96L04; dates of
manufacture, May 1996 and November 1996, respectively).
Pharmacokinetic and statistical analysis.
The peak
concentrations of itraconazole and hydroxy-itraconazole in plasma
(Cmax) and the time to reach
Cmax (Tmax) were
determined from the individual plasma drug concentration data. The
terminal elimination rate constants (kel) for
each compound were estimated by linear regression analysis of the datum
points describing a terminal log-linear decay phase. The terminal
half-lives (t1/2s) were calculated as ln
2/kel. The AUCs from 0 to 48 h
(AUC0-48) were calculated by trapezoidal summation and
from time zero to infinity (AUC0-
) by adding the value
of the plasma drug concentrations at 48 h divided by
kel to the AUC0-48 obtained by the
trapezoidal method. The AUCs thus obtained are taken as the "best
estimates" of parameter values.
Individual test/reference (SPOR/TRAC) ratios for
Cmax, AUC0-48, and
AUC0-
and individual test
reference differences
(SPOR
TRAC) for Tmax were obtained for
assessment of bioequivalence. The data were analyzed statistically by
both parametric (one-way analysis of variance for natural
log-transformed data) and nonparametric methods. The bioequivalence
range for the individual percent ratios of natural log-transformed
variables was defined as 80 to 125%.
LSS development.
All-subset linear regression analysis
(11) of the AUC0-
best estimates against the
concentration at a particular time (Ctime)
(independent variables) was carried out in order to develop an LSS to
estimate AUC0-
s for itraconazole and
hydroxy-itraconazole following the administration of each itraconazole
preparation. Thus, four preparation-compound pairs were analyzed,
namely, SPOR-itraconazole (SPOR-ITR), SPOR-hydroxy-itraconazole (SPOR-HYD), TRAC-itraconazole (TRAC-ITR), and
TRAC-hydroxy-itraconazole (TRAC-HYD). Computations were carried out by
using function leaps (5) in Splus 4.0 (14). This
analysis produced equations of the form AUC0-
= A0 + A1 × C1 + A2 × C2... An × Cn, where An is a coefficient,
and n is the number of samples. Regression equations were
then ranked according to the R2 criterion in
order to identify those that provided the best fit for 1 to 10 plasma
samples obtained at various times. The LSS-derived AUC0-
estimates were then compared with the best estimates of AUC0-
for each of the 18 volunteers' data
sets. The bias of these LSS-derived estimates was assessed by
calculating the mean difference (MD; in percent) from the best estimates, where MD = [(derived estimate
best
estimate)/best estimate] × 100, and precision was assessed by
calculating the mean absolute difference (MAD; in percent).
"Jackknife" prediction and exchange of training sets (see below)
were used to validate the procedures described above. Once the
limited-sampling concentration times were chosen for each of the four
preparation-compound data sets, a jackknife prediction of the
AUC0-
was made for each of the 18 volunteers. A
jackknife prediction (10) is made when the regression
equation for the prediction of the AUC0-
is derived by
using n (in our case n = 3) fixed
concentrations of choice from 17 of the volunteers, and this equation
is used to predict the AUC0-
for the 18th volunteer.
Thus, for each subset of sampling times, a slightly different
regression equation is used to predict the AUC0-
for
each volunteer. By discarding one observation at a time and fitting a
new model for the n
1 remaining observations, the
particular observation which is the object of study does not influence
the estimation of the regression parameters.
As a second validation approach, the 18 observations comprising one
data set for itraconazole (i.e., either SPOR-ITR or TRAC-ITR) were used
to estimate the regression coefficients under a three-point LSS model.
These coefficients and the concentrations observed at the same
respective times, but after administration of the other drug
preparation to each of the 18 study subjects, were then used to
estimate the AUC0-
. The AUC0-
s thus
obtained were then compared to the available best estimates available
for each drug preparation. The first set of observations (used for the
development of the LSS regression equations) is referred to as the
training data set, and the expression "exchange of training sets"
is coined to describe this validation procedure.
 |
RESULTS |
All subjects completed the study protocol, and both itraconazole
preparations were well tolerated, with no adverse effects being reported.
Pharmacokinetic data and bioequivalence assessment.
The plasma
drug concentration-time curves (Fig. 1)
show that the mean concentrations of both unchanged itraconazole and
the active metabolite hydroxy-itraconazole, at all sampling points, were higher for SPOR than for TRAC. The pharmacokinetic data summarized in Table 1 reveal large interindividual
variability in Cmax, AUC0-48, and
AUC0-
for both itraconazole and hydroxy-itraconazole
after the administration of either SPOR or TRAC. Nevertheless, the mean
values of these parameters were consistently higher after SPOR
administration than after TRAC administration. Table
2 shows that the 90% confidence
intervals (CIs) for individual percent ratios (TRAC/SPOR) of
Cmax, AUC0-48, and
AUC0-
for both itraconazole and hydroxy-itraconazole
were outside the bioequivalence range of 80 to 125%. This is
interpreted as indicating that the two formulations are not
bioequivalent. Tmaxs for both itraconazole and
hydroxy-itraconazole, however, did not differ significantly between the
two preparations. Also, the individual hydroxy-itraconazole/itraconazole AUC ratios calculated for SPOR (mean ± SEM AUC0-48, 2.99 ± 0.11 ng · h/ml; mean ± SEM AUC0-
, 2.78 ± 0.09 ng
· h/ml) or TRAC (mean ± SEM AUC0-48, 3.02 ± 0.10 ng · h/ml; mean ± SEM AUC0-
,
2.80 ± 0.11 ng · h/ml) did not differ significantly,
suggesting that the extent of hydroxy-itraconazole formation was
similar for both preparations.

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FIG. 1.
Mean ± SEM concentrations of unchanged
itraconazole (A) and the active metabolite hydroxy-itraconazole (B) in
the plasma of 18 volunteers after the oral administration of single
doses (200 mg) of two different itraconazole preparations, namely, SPOR
and TRAC.
|
|
LSS.
The concentration-in-plasma data sets for the 18 volunteers and an all-subset regression approach were used to identify
the most informative sampling times for 1 to 10 samples for each
preparation-compound pair tested, namely, SPOR-ITR, SPOR-HYD, TRAC-ITR,
and TRAC-HYD. The results of this analysis (Table
3) show that the most informative sampling strategies for the estimation of AUC0-
depend on the preparation-compound pair. For example, for three samples, the
most informative times were 1, 4, and 48 h for SPOR-ITR; 3, 8, and
48 h for SPOR-HYD; 1, 8, and 48 h for TRAC-ITR; and 3, 10, and 48 h for TRAC-HYD. Each of these triple concentrations in
plasma correlated well (R2 > 0.98) with the
corresponding AUC0-
. Increasing the number of sampling
points led to higher values of R2 and
consistently increased the precision (MD) and reduced the bias (MAD) of
the estimates of AUC0-
for regressions with three or
fewer samples. Increasing the number of sampling points to more than
three adds little to the precision and bias of the estimates of AUC for
each preparation-compound pair tested. From this analysis we conclude
that an LSS based on three samples is adequate for estimation of the
AUC0-
for each pair tested. Table
4 indicates the 10 most informative
sampling times and the corresponding equations derived for estimation
of the AUC0-
by using three sample times for each pair tested.
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TABLE 3.
R2, bias, and precision of the
best linear equations for n sample times derived by using
the all-subset regression approach to estimate the
AUC0- for each of the 18 subjects for the four
preparation-compund pairs tested
|
|
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TABLE 4.
R2, bias, and precision of the ten best
linear equations on three sample times derived by the all-subset
regression approach to estimate the AUC0- for each of
the 18 subjects for the four preparation-compund pairs tested
|
|
Diagnostic plots of the best estimate of AUC0-
versus
the LSS-derived AUC0-
are shown in Fig.
2A to D for the various data sets.
Jackknife plots (see Materials and Methods) show good agreement between
the observed and the predicted quantities for each of the four
preparation-compound pairs tested. Residual plots (data not shown)
indicate that there is no need to search for either additional variable
transformations or nonlinear relationships.

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FIG. 2.
Scatter plots showing the relationship between the best
estimated AUC0- and the AUC0- derived
from the LSS models for each of the preparation-compound pairs:
SPOR-ITR (A; datum at points 1, 4, and 48 h), TRAC-ITR (B; datum
points at 3, 8, and 48 h), SPOR-HYD (C; datum points at 1, 8, and
48 h), and TRAC-HYD (D; datum points at 3, 10, and 48 h). The
LSS regression equations for each pair were those described in the
first line for each preparation-compound pair in Table 3.
|
|
Figure 3 shows validation plots for the
exchange of the training sets approach applied to the SPOR-ITR and
TRAC-ITR pairs (see Materials and Methods). Although the two drug
preparations were not bioequivalent, the three-point LSS-derived
regression functions for one pair proved to be robust enough for the
adequate prediction of the AUC0-
for the other pair.
Thus, when the SPOR-ITRA data are used as the training set (the first equation for SPOR-ITR in Table 4), the predicted AUC0-
for TRAC-ITRA correlates closely with the best estimate of the parameter value (R2 = 0.96; MD =
13.40% ± 16.46%; MAD = 16.67% ± 12.91%). The converse (R2 = 0.99; MD = 3.44% ± 5.76%; MAD = 5.11% ± 4.25%) is also true when TRAC-ITRA is used as the training
set (the first equation for TRAC-ITR in Table 4).

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FIG. 3.
(A) Scatter plot showing the relationship between the
best estimated AUC0- for SPOR-ITR (abcissa) and the
AUC0- derived from the LSS model by using the TRAC-ITR
data as the training set (ordinate). The plasma itraconazole
concentrations measured 3, 8, and 48 h after the administration of
SPOR to each of the 18 volunteers were plugged in the first equation
for the TRAC-ITR preparation-compound pair in Table 4. (B) Scatter plot
showing the relationship between the best estimated
AUC0- for TRAC-ITR (abcissa) and the
AUC0- derived from the LSS model by using the SPOR-ITR
data as the training set (ordinate). The plasma itraconazole
concentrations measured 1, 4, and 48 h after the administration of
TRAC to each of the 18 volunteers were plugged in the first equation
for the SPOR-ITR preparation-compound pair in Table 4.
|
|
As a final test of the validity of the LSS developed in the current
study, the two most informative equations derived for the SPOR-ITR pair
(Table 4) were used to estimate the AUC0-
from
published data obtained under similar experimental conditions (1,
17). Table 5 shows that the
LSS-estimated AUC0-
s are within 5% of the average
AUC0-
s reported in the previous studies, even though
these values differ substantially from 3,415 ng · h · ml
1 (1) to 5,757 ng · h · ml
1 (17). For data from both of the previous
studies, the second equation displayed in Table 4 performed better than
the first equation. This might be related to the use of the plasma drug concentrations at 1 h (C1), the values of
which are small and subject to large variability in the first equation
but not in the second equation in Table 3.
 |
DISCUSSION |
This paper describes for the first time the development of an LSS
for the antifungal agent itraconazole and its active metabolite hydroxy-itraconazole. These strategies were developed with data from a
bioequivalence study of two preparations of itraconazole in which a
relatively large number of plasma samples were collected from 18 closely monitored healthy volunteers. The pharmacokinetics data
reported here for SPOR, the reference itraconazole preparation, confirm
the large interindividual variability in the
Cmaxs and of the AUCs for both the unchanged
drug and the active metabolite hydroxy-itraconazole in healthy subjects
(1, 9, 12, 17, 22). Nevertheless, the values reported here
for the principal pharmacokinetic parameters obtained after the
administration of single doses (200 mg) of itraconazole, given as SPOR,
are within the range of previously reported data for itraconazole
capsules manufactured for international distribution by the same
pharmaceutical company (Table 6). This
consistency adds strength to our conclusion, based on the individual
test/reference ratios for Cmax,
AUC0-48, and AUC0-
, that the test
preparation TRAC is not bioequivalent to SPOR when the data obtained
after the administration of single doses are compared. Since
itraconazole is frequently used in prolonged (months) treatment
courses, it would be important to assess the bioequivalence of these
two preparations under conditions in which the plasma drug levels are
at steady state. Because itraconazole exhibits nonlinear, saturable
pharmacokinetics in the range of therapeutically effective doses
(1, 6), it might be anticipated that differences in the
bioavailability of SPOR versus that of TRAC will affect the
bioequivalence parameters Cmax and AUC for itraconazole and hydroxy-itraconazole to a larger extent under conditions in which plasma drug levels are at steady state than after
the administration of single doses.
The present study shows that the plasma AUC0-
of
itraconazole and hydroxy-itraconazole following the oral administration of 200 mg to healthy volunteers can be determined accurately by using
only three plasma samples. The gain in accuracy and precision of the
estimates achieved by choosing four or more sample times is marginal,
at best (Table 3). The statistical principle of parsimony advises in
favor of the use of models with fewer parameters, and we thus settle
for three-sample regressions. Ten LSS models in this class were
developed for each of the four preparation-compound pairs tested (Table
4) by using an all-subset regression approach. In general, the first
three or four models in Table 4 for each pair are statistically
indistinguishable, and one could consider additional criteria to be
used to choose among them, as to avoid "unsociable" sampling times
or to shorten the duration of the study. In particular, the best model
for the SPOR-ITR pair involves samples taken 1 h after drug
administration. The concentrations measured in plasma at this time are
low and subject to greater variability than those measured at later
times in the absorption phase of the plasma concentration-time curve.
Because of this, the second-best model in Table 4 might be preferred,
especially because the difference in the precision and bias of the two
models for estimating the AUC0-
of itraconazole after
the administration of SPOR are minimal. Indeed, model 2 performed slightly better when both models were used to estimate the
AUC0-
from previously published data (Table 5).
The three-point LSS was chosen on the basis of a least-squares linear
regression fitting procedure. Alternatively, the SAMPLE module of ADAPT
II provides a strategy based on optimal sampling theory (3).
LSSs based on the d-optimality criterion implemented in ADAPT II were
also produced for the mean curve for the 18 study participants obtained
by calculating the mean concentration of itraconazole in plasma after
the administration of SPOR, the reference formulation, at each
observation time. It was reassuring to observe (data not shown) that
the sampling time allocation design for three samples given by the
d-optimality criterion (1.43, 4, and 48 h) for the SPOR-ITR pair
is essentially the same as that found by the regression method that we
used (1, 4, and 48 h).
In conclusion, we describe the development of LSS methods for
estimating the AUC0-
s of itraconazole and
hydroxy-itraconazole with a large set of concentration-in-plasma datum
points (n = 396) obtained in a bioequivalence
assessment study. The LSS-derived three-point models accurately
predicted the AUC0-
s for both compounds following
the oral administration of either the reference (SPOR) or the test
(TRAC) itraconazole formulation. The LSS developed for SPOR-ITR, when
applied to data from previously published studies (1, 17)
performed under experimental conditions similar to those used in the
present study, accurately predicted the AUC0-
for
itraconazole. Thus, we suggest that the LSS models described here may
be useful for future pharmacokinetic studies of itraconazole.
 |
ACKNOWLEDGMENTS |
This study was supported, in part, by Janssen-Cilag
Farmacêutica. G.S.-K. and C.J.S. are senior investigators of
Conselho Nacional de Desenvolvimento Científico e
Tecnológico (CNPq) and are supported by research grants from
CNPq, Fundação Ary Frauzino (FAF), and Programa Nacional de
Excelência (PRONEX). C.G.P. is supported by a fellowship from CNPq.
 |
FOOTNOTES |
*
Corresponding author. Mailing address: Instituto
Nacional de Câncer-CPQ, Praça da Cruz Vermelha 23/4°, Rio
de Janeiro, RJ 20130-230, Brazil. Phone: 5521 506-6275. Fax: 5521 509-2004. E-mail: kurtz{at}inca.org.br.
 |
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Antimicrobial Agents and Chemotherapy, January 1999, p. 134-140, Vol. 43, No. 1
0066-4804/99/$04.00+0
Copyright © 1999, American Society for Microbiology. All rights reserved.
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