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ABSORPTION, DISTRIBUTION, METABOLISM, AND EXCRETION
Departments of Pharmaceutical Sciences, School of Pharmacy and Pharmaceutical Sciences (M.N.S., N.A.P., D.C.D., R.R.A., W.J.J.), and Biological Sciences (D.C.D., R.R.A.), State University of New York at Buffalo, Buffalo, New York
Received September 20, 2005; accepted December 20, 2005.
| Abstract |
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Synthetic fluorinated corticosteroids exhibit transplacental passage when administered to pregnant women because of low affinity for maternal corticosteroid binding globulin (CBG) and poor breakdown by placental steroid metabolizing enzymes (Pugeat et al., 1981
; Diederich et al., 1998
). DEX, in the form of its soluble phosphate ester prodrug, is administered prenatally to induce fetal lung maturation in women at risk of preterm delivery. This exogenous steroid administration has been shown to reduce the incidence of neonatal RDS and is considered a rare example of medical intervention that improves health care and produces considerable cost saving (National Institutes of Health Consensus Panel, 1995
).
Reports have appeared in the literature that the current empirically chosen dosing regimen of four 6-mg doses of DEX administered every 12 h reduces the incidence of RDS by only 50% (Newnham, 2001
). This has led to the practice of administering multiple doses of corticosteroids, which are administered weekly for weeks and even months to women at risk for preterm delivery. Such prolonged exposure has been found to produce adverse cardiovascular, neuronal, and developmental effects in the fetus (Newnham, 2001
). There is therefore a need for dose optimization for the safe use of these potent drugs. An assessment of glucocorticoid PK and effects in a suitable animal model may therefore provide some insight into the optimal use of steroids in prenatal medicine.
The first objective was to capture the glucocorticoid profile and lung maturation profile in control fetal rats. An optimal regimen was then defined as a DEX dosing schedule that would precociously produce the endogenous prenatal steroid exposure and up-regulation of fetal lung maturational markers. This first report of a two-part series focuses on designing such a regimen from a pharmacokinetic standpoint in pregnant rats. Examination of PK properties during pregnancy in rodents requires measurement of drug concentrations in maternal and fetal plasma and total drug content in fetal tissue (Samtani et al., 2004a
). Furthermore, corticosteroid effects during pregnancy are driven by both the endogenous and the exogenously administered corticosteroid. Finally, it is important to assess free corticosteroids in plasma because it is the unbound drug that is accessible to various organs for mediating steroid effects. This article reports extensive data that were obtained to help understand the driving force behind corticosteroid PD effects in pregnant rats.
| Materials and Methods |
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Antenatal corticosteroids are indicated for threatened preterm labor during the gestational window of 24 to 34 weeks, which corresponds to 60 to 85% of human gestation (Ballard and Ballard, 1995
). Most studies with larger animals involving antenatal corticosteroids are therefore conducted at 70 to 80% gestation. However, rats have a short gestational life of only 22 days, and the time point selected for DEX input was 18 days (82% gestation) because of the fetal size restrictions. However, a short rodent gestational life also translates into a very late switch on time for critical organs such as fetal lungs, and this becomes obvious in the companion paper (Samtani et al., 2006
). Expression of surfactant proteins does not start to rise until gestational day 19, and development seems to be completed by 21 to 22 days of gestation. Thus, although 18 days of gestation seems to be fairly late in development, it still represents a state where the lungs are immature and is a suitable time frame for inducing precocious fetal lung maturation in rats.
To design a regimen that met of all of the above-mentioned criteria, we used our model for DEX pharmacokinetics in rat pregnancy (Samtani et al., 2004a
). The model was developed using some sparse literature data for total DEX concentrations in pregnant rats on gestational day 20. The model as shown in Fig. 1 consists of a two-compartment maternal/fetal exchange model with elimination only from the maternal compartment. Such a simple system is possible only in rodents, where the fetus lacks drug-metabolizing capability (Samtani et al., 2004a
). The equations used were as follows:
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Animals
Fifty-four time-pregnant Wistar rats were purchased from Harlan (Indianapolis, IN). Animals arrived at 12 days gestation and were housed in our University Laboratory Animal Facility maintained under constant temperature (22°C) and humidity with a controlled 12-h light/dark cycle. A time period of 5 days was allowed for acclimatization. Rats had free access to rat chow and drinking water. Rats were randomly divided into two groups. Twenty-four rats (group 1) were assigned to the control group, and 30 rats (group 2) were assigned to the treatment group. Studies began either on gestational day 17 (group 1) or day 18 (group 2) at which time these animals weighed 330 to 440 g. This research adheres to Principles of Laboratory Animal Care (National Institutes of Health publication 85-23, revised 1985) and was approved by the University at Buffalo Institutional Animal Care and Use Committee.
Experimental Procedures
Control Rats. Rats in group 1 were sacrificed at 9:00 AM on GA 17, 18, 19, 20, and 21. Three additional time points at 5:00 PM on GA 18, 19, and 20 were also chosen. Three animals were sacrificed at each time point. Rats were sacrificed by exsanguination under ketamine/xylazine anesthesia, with maternal blood drained from the abdominal aortic artery and fetal blood collected by neck incision. Individual fetuses were weighed, and blood from all the fetuses from a single litter was pooled. Blood was collected in EDTA-containing syringes and capillary tubes, centrifuged immediately at 4°C, and plasma was quickly harvested and aliquoted for different assays and ultrafiltration. Samples were frozen at 20°C until analyzed. One fetus from each litter was frozen in liquid nitrogen and stored at 80°C. Fetal lungs were excised by dissection of the chest cavity, immediately frozen in liquid nitrogen, and stored at 80°C until used for RNA preparation, which is described in the companion paper (Samtani et al., 2006
).
DEX-Treated Rats. The dose of DEX that met the criteria described in the simulation section was 1 µmol kg1 (0.4 mg kg1 DEX). Animals in group 2 were administered up to six doses of DEX in the form of DEX sodium phosphate (Phoenix Scientific, Inc., St. Joseph, MO). These doses were injected intramuscularly between 8:00 and 9:00 AM and between 8:00 and 9:00 PM on GA 18, 19, and 20. Three animals were sacrificed at each of the following time points: 1, 6, and 9 h after the first dose on GA 18; 10 min, 2.5 and 9 h after the third dose on GA 19; 0.5, 4, and 9 h after the fifth dose on GA 20; and 12 h after the sixth dose on GA 21. The methods for sample collection were identical to the control group. The different sacrifice times on the four gestational days will help to illustrate the stationarity of the PK system.
A few methodological issues need to be elucidated further. The use of corticosteroid prodrugs in PK studies poses the risk of overestimation of corticosteroid concentrations because of in vitro hydrolysis of prodrugs after sample collection. The ex vivo prodrug hydrolysis can be minimized by administering the prodrug via the intramuscular route where a good fraction of the prodrug is activated at the injection site, and the steroid can be absorbed directly in the active form (Samtani and Jusko, 2005b
). This is the preferable administration route since it is used clinically and produces almost complete and rapid DEX input (Samtani and Jusko, 2005a
). To stabilize samples, they should be collected in EDTA, kept on ice during processing delays, rapidly spun down at 4°C, and stored immediately at 20 to 70°C (Samtani and Jusko, 2005b
). Prodrug hydrolysis is an enzymatic process and is highly temperature-dependent (Samtani et al., 2004b
). Cooling the samples, therefore, reduces ex vivo generation of DEX.
Nonpregnant Controls. Three nonpregnant control female rats were sacrificed before the beginning of the dark cycle, which represents the peak of the circadian cycle for corticosterone in rats (Hazra et al., 2004
). Total and free plasma corticosterone concentrations in plasma from these three animals were measured and compared with values from fetal samples.
Plasma Steroid Assays. Preparation of samples for measurement of unbound steroid concentrations. Protein free samples for measurement of unbound corticosterone and DEX concentrations were prepared by the method of ultrafiltration using the Amicon Centrifree device (Millipore, Billerica, MA) with a 30-kDa molecular weight cut-off filter. Then, 300 to 400 µl of fetal plasma was spun at 1000g in a fixed angle rotor for 6 min, whereas 0.5 ml of maternal plasma was spun for 15 min at 37°C. Preliminary experiments indicated that filtration of up to 50% of the sample did not affect binding equilibrium, and binding of corticosterone and DEX to the ultrafiltration device was negligible. The ultrafiltration conditions described above produced a filtrate volume that was 30 to 40% of the initial plasma used.
DEX analysis by liquid chromatography-tandem mass spectrometry. DEX was measured in maternal/fetal plasma, plasma ultrafiltrate, and fetal tissue. Plasma DEX concentrations were determined by a highly sensitive and specific solid phase extraction liquid chromatography-tandem mass spectrometry method as described previously (Samtani et al., 2005
). The limit of quantitation was 0.25 nM, and the interday and intraday coefficients of variation were less than 20%.
Fetuses from control rats were used for generation of pooled blank fetal tissue homogenate for constructing standards and controls. Entire fetuses were weighed and homogenized (4 ml/g tissue) in ice-cold phosphate-buffered saline (Gibco, Grand Island, NY) using a Polytron homogenizer (Brinkmann Instruments, Westbury, NY) at speed setting 5 with three bursts of 10-s duration with 30-s intervals. Blank plasma ultrafiltrate was obtained by spinning a 15-ml starting volume of rat plasma in Amicon Ultra-15 centrifugal filter units (Millipore) with a 30-kDa molecular weight cut-off filter in a swinging bucket rotor at 1000g for 45 min at 37°C. Standards and quality controls were prepared by spiking known quantities of steroids into blank matrices and were run daily for assay calibration.
Sample preparation for the fetal tissue involved addition of 50 µl of the internal standard and 1 ml of methanol to 0.5 ml of tissue homogenate. Addition of methanol caused precipitation of proteins and extraction of steroids upon thorough vortexing. The samples were then centrifuged at 8000g for 20 min, and the supernatant was siphoned off into 50-ml polypropylene tubes into which 20 ml of high-performance liquid chromatography water was added to reduce the content of methanol to <5%. This mixture was vortexed and subjected to solid phase extraction using Oasis HLB 20-ml Vac RC 30-mg cartridges (Waters, Milford, MA). The extraction procedure is otherwise identical to that described for plasma, except that the funnel shaped Vac RC cartridges can accommodate a 20-ml processed sample instead of the 1-ml processed sample described for plasma.
Sample preparation for plasma ultrafiltrates involved adding 0.75 ml of high-performance liquid chromatography water to 0.2-ml sample in polypropylene tubes. Sample volume was restricted to 200 µl because the maximum volume of ultrafiltrate obtained during rat PK/PD studies ranges between 100 and 200 µl. Added was 50 µl of a methanolic stock (1 µg/ml) of prednisolone as internal standard; thereafter, the 1-ml processed ultrafiltrate sample was handled identical to the plasma samples.
Corticosterone analysis by radioimmunoassay. The possibility of simultaneously monitoring corticosterone with DEX during liquid chromatography-tandem mass spectrometry analysis was investigated. However, the sensitivity was not satisfactory for corticosterone during PK studies involving DEX because of its strong adreno-suppressive effect. We therefore used the commercially available ImmuChem Double Antibody 125I kit from MP Biomedicals (Costa Mesa, CA), which requires only 5-µl plasma samples. Two minor modifications have been commonly used in the literature to improve the sensitivity of this kit (Duffy et al., 2000
; Huot et al., 2002
). This enhancement in sensitivity becomes necessary when evaluating samples from DEX-treated animals that exhibit extremely low corticosterone. We incorporated two additional standards, i.e., 36 and 18 nM, into the curve by diluting the lowest standard (72 nM) provided with the kit and decreased sample dilution from 1:200 to 1:100. These changes improved the lower limit of quantification from 72 to 9 nM using a 5-µl plasma sample. Samples were counted in a 1272 CliniGamma counter from LKB Wallac (Little Chalfont, Buckinghamshire, UK) with a counting time of 2 min/tube. Finally, in our experience and in other published reports (Pacak et al., 1995
; Taymans et al., 1997
), this kit has been found to be suitable for measurement of free corticosterone in plasma ultrafiltrates. To achieve measurable levels of free corticosterone, 25 µl of ultrafiltrate samples was diluted 1:10 with assay buffer. The lower limit of quantification with plasma ultrafiltrates was 0.9 nM.
Mathematical Models
Fetal Growth. Growth curves describing the average body weight of a fetus from a litter in control and DEX-treated animals were pooled, and eq. 6 was fitted to the data to obtain estimates of A0 and TD.
DEX Pharmacokinetics. Although protein binding in maternal and fetal plasma was linear the extent of binding was not identical. Differential equations were thus allowed to operate on free rather than total drug concentrations. The DEX PK component of the model presented in Fig. 1 was fitted to free maternal/fetal plasma concentrations using eqs. 1 to 3. Five data sets were fitted simultaneously: 1) unbound maternal plasma DEX, 2) unbound fetal plasma DEX, 3) total fetal tissue DEX content expressed as picomoles per gram of fetal tissue, 4) total maternal plasma DEX, and 5) total fetal plasma DEX; and the output functions were as follows:
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Fetal Corticosterone Temporal Patterns in Control versus Treated Animals. Our data demonstrated that corticosterone binding in maternal/fetal plasma was highly nonlinear and nonstationary and that administration of DEX had a marked inhibitory effect on corticosterone secretion. Thus, for the purposes of simplicity and also because the fetal steroid concentrations are of the greatest interest since they drive fetal PD, only the fetal corticosterone data were modeled. The corticosterone inhibition component of the model depicted in Fig. 1 was fitted to the data using the following equations:
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To rationalize the cause of the nonlinearity and nonstationarity observed in the corticosterone temporal profiles, literature data for fetal rat albumin and CBG as a function of gestation were used (Tam and Chan, 1977
; VanBaelen et al., 1977
). Data were recaptured by computer digitalization (Sigma Scan; Jandel Scientific, Corte Madera, CA) and fitted to the following sigmoid functions:
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values are sigmoidicity parameters; descriptors c and a refer to CBG- and albumin-specific parameters, respectively; and tc50 and ta50 are time parameters where CBG and albumin, respectively, change by 50%. The following equations describing total corticosterone concentrations in control and DEX-treated animals were fitted simultaneously along with eqs. 12 and 13:
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Data Analysis. Data from multiple animals were pooled and the ADAPT II program (D'Argenio and Schumitzky, 1997
) with the maximum likelihood method was applied for all fittings. The following variance model was used:
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| Results |
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Fetal Growth Curves. The fetal growth curves followed an exponential growth pattern (Fig. 3). Variability in the control group on gestational day 21 (96 h) may be because of the variable litter sizes that were obtained from two animals at this time point where one rat had only eight fetuses, whereas another rat had 19 fetuses. Parameter estimates were A0 = 1 g (CV = 3%) and TD = 1.7 day (CV = 3%). Figure 4 visualizes the burst of growth that occurs in fetal rats during late gestation.
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Temporal Fetal Corticosterone Patterns in Control/DEX Rats. Total corticosterone in control fetal rats began to rise on GA 17, stayed high up to 19 day GA, and exhibited a shallow decline between GA 19 and 21 (Fig. 7). In contrast, the free corticosterone rose to a maximum on day 17 and stayed constant until the end of the study. Total corticosterone in the fetus was somewhat lower than the circadian high observed in nonpregnant controls. However, the free corticosterone in fetal rats closely mirrored the circadian high that occurs in nonpregnant controls after GA 17. Maternal administration of DEX caused marked adrenal suppression, which led to lowering of the total and free corticosterone concentrations (Fig. 7). Corticosterone concentrations in adrenosuppressed fetuses, although fairly low, were still captured by the radioimmunoassay. Parameters describing the release and binding pattern of corticosterone in fetal rats and inhibition of corticosterone secretion by DEX are provided in Table 2.
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Plasma Protein Binding Stationarity and Linearity. Binding of DEX in maternal and fetal plasma was found to be linear (Fig. 8). However, DEX was more extensively bound in maternal than in fetal plasma. Thus, the common assumption of equal binding in maternal/fetal plasma was found to be inappropriate. Therefore, in modeling the data, the differential equations were allowed to operate on the free rather than the total drug concentrations. Binding of corticosterone in maternal and fetal plasma in both control and DEX-treated groups was nonlinear and nonstationary (Fig. 8). The nonstationarity can be attributed to the rapidly declining CBG concentrations in rat plasma during the last few days of gestation (Fig. 9). During this period, the albumin concentrations also change but with an increasing trend (Fig. 9). Despite the increasing albumin concentrations, binding to this protein is expected to remain linear due to the large size of this binding pool, which exists at 50 to 100 times higher concentrations in the fetal rat compared with CBG. The linearity of this binding system in the fetal rat is illustrated by the binding characteristics of DEX, which binds to albumin alone. The parameter estimates describing the change in fetal plasma binding proteins as a function of time are shown in Table 3.
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Fetal/Maternal Gradients for Corticosteroids. Fetal/maternal gradients are usually evaluated by assessing the ratio of unbound fetal to maternal concentrations. Binding of steroids to different extents in the two plasma pools can cause differences in total drug concentrations between the mother and the fetus. By estimating the ratio of free drug concentrations the binding effects in the two exchanging pools can be negated. Assessment of this ratio for corticosterone in control rats shows that this ratio is roughly distributed around 1, indicating that corticosterone distributes readily across the placental interface (Fig. 10). However, the ratio for DEX exhibits a value of less than 1 in all of the 30 steroid-treated animals. This indicates that the placenta creates a barrier for the transfer of DEX from the maternal to fetal circulation (Fig. 10). The possible source of this placental barrier can be understood by comparing the values of CLmf and CLfm obtained during curve fitting of the DEX PK data (Table 1). A higher value for CLfm indicates that the placental DEX transfer occurs much more efficiently in the fetal to maternal direction.
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| Discussion |
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DEX did not seem to have an effect on fetal growth; therefore, growth curves from both groups were pooled and modeled. The fitted parameters for fetal growth are in good agreement with literature estimates of Ao = 0.7 g and TD = 1.5 day (Schneidereit, 1985
).
Binding of DEX, although different in maternal and fetal plasma, was found to be linear in both compartments. This is somewhat unexpected considering that fetal plasma albumin changes dramatically during the last days of gestation (Fig. 9). However, the concentration of albumin even in fetal plasma is in the high micromolar range. This probably precludes saturation of albumin binding sites by DEX, which circulates at nanomolar concentrations after administration of a 1 µmol kg1 dose.
Binding of corticosterone in fetal plasma was found to be highly nonlinear and nonstationary. It is interesting to note that although the total concentrations of corticosterone decline in control fetal rats after GA 19, the free concentrations stay unchanged. All these observations can be explained by the sharp fall in CBG concentrations during late gestation. As CBG concentrations decline, more corticosterone is available for elimination, which causes total corticosterone to decrease but allows the free corticosterone to stay at an elevated plateau. These high fetal free concentrations are close to the circadian peak in corticosterone concentrations that occur daily in control rats. These elevated concentrations mean that more corticosterone is available for distribution to sites such as the fetal lung for mediating PD effects. The declining CBG pool therefore serves as an important mechanism for amplifying glucocorticoid effects. This emphasizes the fact that measuring total steroid concentrations can be misleading and that it is the free steroid that is the active species driving PD. Thus, in the companion report (Samtani et al., 2006
), the present fetal free steroid data is used for driving corticosteroid effects.
There was a marked difference in the distribution of corticosterone and DEX across the placenta. Corticosterone distributed across the barrier readily, whereas DEX exhibited restricted fetal access. It is generally thought that placental 11-
hydroxysteroid dehydrogenase creates a barrier for maternal endogenous corticosteroids by metabolizing them to their inactive 11-keto metabolites (Yang, 1997
). However, it has been recently shown that this placental enzyme shuts down in the rat placenta during the last days of gestation, allowing greater access of maternal corticosterone to the fetus (Waddell et al., 1998
). This enzyme behavior has been postulated as a possible mechanism for the increased glucocorticoids circulating in the fetal circulation during the last days of gestation. Our data support this hypothesis since the free concentrations of corticosterone seem to equalize in the maternal/fetal circulations after GA 18 in the control group. In contrast DEX access to the fetal circulation was restricted by some placental process. We have recently postulated that placental P-glycoprotein may serve as a barrier to maternally administered DEX (Samtani et al., 2004a
). Most synthetic corticosteroids, including DEX, are excellent substrates for this transporter (Yates et al., 2003
), and the placenta expresses high levels of P-glycoprotein where it serves as a pump for effluxing xenobiotics from the fetal to the maternal circulation (Young et al., 2003
). The P-glycoprotein argument is further strengthened when corticosterone data are reconsidered. Corticosterone, unlike synthetic corticosteroids, is not a P-glycoprotein substrate (Karssen et al., 2001
; Yates et al., 2003
); thus, the lack of metabolic and efflux barriers allow this steroid to distribute equally across the placenta. Finally, the importance of computing free fetal/maternal concentration ratios cannot be stressed enough. Because of the lack of available data, we previously compared total fetal and maternal DEX concentrations from the literature (Samtani et al., 2004a
). This comparison revealed a fetal/maternal gradient of 0.2. It is only now that we understand that an important reason for this gradient is the lower binding of DEX in the fetal circulation. A higher free fraction in fetal plasma allows greater return of DEX from the fetal to the maternal circulation. However, by computing the fetal-to-maternal ratio of free DEX (average = 0.55 across the duration of the study), it is recognized that plasma protein binding does not completely explain the fetal to maternal gradient and that some additional process restricts fetal access, which is probably placental efflux.
It was noted that one animal sacrificed as 81 h showed markedly lower steroid concentrations (Fig. 5). All five measurements (maternal total and free, fetal total and free, and fetal tissue content) from this particular animal were outliers. This observation rules out assay error since five mismatches cannot arise from the assays. By extrapolating the curves from the previous dose, it seems that this animal may not have received the fifth dose. In performing these labor-intensive animal studies, the possibility of such human error cannot be ruled out. The enormity of the study size can be judged from the fact that the 54 pregnant animals humanely killed in this study yielded almost 800 fetuses. The possibly erroneous data points were retained during the modeling process because the use of the maximum likelihood procedure, which is inherently a way of weighting the data, is less susceptible to outliers during the curve-fitting procedure (Gabrielsson and Weiner, 1997
). This point is emphasized by the fitted curves, which do not seem to be influenced by the five outliers.
The estimation of DEX PK parameters made use of a simple two-compartment maternal/fetal exchange model that assumed stationary PK across the entire duration of the study, except for the parameter Vf. The property of stationary DEX PK is demonstrated in Fig. 6 where unbound maternal/fetal concentrations from different gestational days are plotted against the time since last dose. On gestational days 18, 19, and 20, a trough kill at 9 h was performed. The overlapping of DEX concentrations at this time point on maternal/fetal profiles in Fig. 6 shows that PK are not altered by advancing GA. Furthermore, the data take the shape of a simple Bateman function, which further illustrates stationarity. In constructing Fig. 6, reverse superpositioning (Bauer and Gibaldi, 1983
) to strip off contributions of the previous doses during the second to the sixth dosing intervals was not applied. The dosing interval exceeded four elimination half-lives, and the contribution of the previous dose would be <7%, making the correction factor marginal. Figure 6 also demonstrates that although only 10 time points were chosen over the course of a 72-h study, the judicious choice of sample collection points during this multiple-dosing study helps capture both the disposition and absorption properties of DEX with good precision (evident from the <35% CV for all parameters in Table 1).
Modeling the corticosterone data, although yielding parameters with high degrees of precision, produced fitted curves that did not characterize all the data equally well. Examples include GA 18 data for total and free corticosterone in control and DEX-treated fetuses (Fig. 7). One possible explanation is that all data in Fig. 7 were fitted simultaneously. It is known that DEX treatment can suppress levels of CBG (VanBaelen et al., 1977
), which was not incorporated in the model. This is because quantitative assessments of DEX effects on CBG are sparse or qualitative in nature. Given the lack of complete information, CBG levels were assumed to be similar in control and treated animals. Furthermore, the main purpose of capturing steroid profiles was to ascertain the driving force behind corticosteroid effects. It is generally thought that effects are driven by free steroid concentrations; therefore, any discrepancies in fitting the total corticosterone data are not a big concern. In addition, free corticosterone data in the DEX-treated group will have a minor contributing effect toward steroid PD because the effects will be primarily driven by the exogenous steroid because of its higher affinity for the glucocorticoid receptor. Thus, the most important profile among the different curves in Fig. 7 is the fetal free corticosterone in untreated controls, and these data were captured relatively well. Finally, the estimates of KD values in Table 2 confirm that CBG and albumin are high- and low-affinity binding proteins, which is in good agreement with corticosterone binding properties (Jobin and Perrin, 1974
).
| Acknowledgements |
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| Footnotes |
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ABBREVIATIONS: RDS, respiratory distress syndrome; CBG, corticosteroid binding globulin; DEX, dexamethasone; PK, pharmacokinetic; PD, pharmacodynamic; GA, gestational age; IM, intramuscular; CV, coefficient of variation.
Address correspondence to: Dr. William J. Jusko, Department of Pharmaceutical Sciences, School of Pharmacy and Pharmaceutical Sciences, 565 Hochstetter Hall, State University of New York at Buffalo, Buffalo, NY 14260. E-mail: wjjusko{at}buffalo.edu
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