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Vol. 281, Issue 1, 93-102, 1997
Department of Anaesthesia and Pain Management,
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Abstract |
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We studied healthy men who underwent blood sampling for plasma nandrolone, testosterone and inhibin measurements before and for 32 days after a single i.m. injection of 100 mg of nandrolone ester in arachis oil. Twenty-three men were randomized into groups receiving nandrolone phenylpropionate (group 1, n = 7) or nandrolone decanoate (group 2, n = 6) injected into the gluteal muscle in 4 ml of arachis oil vehicle or nandrolone decanoate in 1 ml of arachis oil vehicle injected into either the gluteal (group 3, n = 5) or deltoid (group 4, n = 5) muscles. Plasma nandrolone, testosterone and inhibin concentrations were analyzed by a mixed-effects indirect response model. Plasma nandrolone concentrations were influenced (P < .001) by different esters and injection sites, with higher and earlier peaks with the phenylpropionate ester, compared with the decanoate ester. After nandrolone decanoate injection, the highest bioavailability and peak nandrolone levels were observed with the 1-ml gluteal injection. Plasma testosterone concentrations were also influenced (P < .001) by the ester and injection site, with the most rapid, but briefest, suppression being due to the phenylpropionate ester, whereas the most sustained suppression was achieved with the 1-ml gluteal injection. Plasma inhibin concentrations were also significantly influenced by injection volume and site, with the lowest nadir occurring after the nandrolone decanoate 1-ml gluteal injection. Thus, the bioavailability and physiological effects of a nandrolone ester in an oil vehicle are greatest when the ester is injected in a small (1 ml vs. 4 ml) volume and into the gluteal vs. deltoid muscle. We conclude that the side-chain ester and the injection site and volume influence the pharmacokinetics and pharmacodynamics of nandrolone esters in an oil vehicle in men.
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Introduction |
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For decades, administration of
androgens such as testosterone and 19-nor-testosterone has been most
frequently via depot i.m. injections of steroid esters
dissolved in a vegetable oil vehicle (Junkman, 1957
; Behre et
al., 1990
). Such i.m. injections provide sustained androgen
release into the circulation and have remained the mainstay of androgen
replacement therapy for the last few decades (Nieschlag and Behre,
1990
), although the basic pharmacological mechanisms are complex and
only partially understood (Zuidema et al., 1988
). The basic
pharmacology of this depot androgen formulation differs among species
(van der Vies, 1965
) but has been little studied in humans. The current
understanding is that the rate-limiting mechanism governing the
appearance of active steroid in the bloodstream is the retention of
steroid esters from the oil vehicle depot due to oil/water
partitioning, with gradual release into the extracellular fluid, where
esters are rapidly hydrolyzed to liberate biologically active steroid.
Other physiological and physico-chemical factors that could influence
steroid appearance in the bloodstream include the chemistry of the
side-chain ester (hydrophobicity, steric hindrance of hydrolysis and
solubility), injection factors (depth, site and volume, pH and
osmolarity of the solution), exercise and systemic illness. The
influence of site and volume of injection on the release kinetics of
androgen esters from oil vehicle depots has, however, not been
systematically investigated in humans.
This study compared the pharmacokinetics and pharmacodynamics of two currently available esters of nandrolone, the decanoate and phenylpropionate, as well as the influence of i.m. injection sites (gluteal vs. deltoid) and injection volumes (4 ml vs. 1 ml). In addition to measuring plasma nandrolone to investigate pharmacokinetics, we measured plasma testosterone and inhibin by radioimmunoassay to determine the pharmacodynamic effects of nandrolone-induced inhibition of pituitary gonadotrophin secretion, as reflected in LH-dependent Leydig (testosterone) and FSH-dependent Sertoli (inhibin) cell function in healthy men. We analyzed these data using an indirect pharmacodynamic response model, which has demonstrated, for the first time, prominent pharmacological differences between esters differing in only a single carbon in the side-chain, as well as systematic differences attributable to injection site and volume in humans.
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Materials and Methods |
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Experimental design. Twenty-three healthy volunteers were randomly allocated into four groups in two balanced blocks. The first stratum of the study involved comparing two different nandrolone esters while controlling for dose, injection site and volume. In this stratum, volunteers received either nandrolone phenylpropionate (Durabolin; Organon) (group 1) or nandrolone decanoate (DecaDurabolin; Organon) (group 2), administered as a single deep i.m. injection of 100 mg nandrolone ester into a single injection site (gluteal) in a fixed volume (4 ml of arachis oil vehicle). In the second stratum, a single ester (nandrolone decanoate) with fixed dose (100 mg) and volume (1 ml of arachis oil vehicle) was injected into two different sites, gluteal (group 3) or deltoid (group 4) muscles. This design also allowed comparison between different injection volumes (4 ml vs. 1 ml) for a single nandrolone ester with fixed dose and injection site (i.e., group 2 vs. group 3).
Subjects. Healthy nonobese men, 18 to 40 years of age, with normal reproductive function, not competing in sports requiring International Olympic Committee-sanctioned urinary drug screening for anabolic steroids, not allergic to peanuts, free from chronic medical illness, not requiring regular prescribed medication and without abnormalities in routine clinical examination and biochemical screening were recruited. Fully informed written consent was obtained from volunteers, and the study had approval from the University of Sydney Human Ethics Committee within National Health and Medical Research Council Guidelines on Human Experimentation, which conform to the Declaration of Helsinki.
Procedures. Blood (5 ml) was sampled before injection (8:00-9:00 A.M.) and at 1, 2, 4, 6, 8 and 10 hr and 1, 2, 3, 4, 7, 9, 11, 14, 16, 18, 21, 23, 25, 28, 30 and 32 days after injection. During the first 10 hr, the participants were in a metabolic ward facility and were allowed to undertake normal daily activities. Subsequently, participants returned for blood sampling on an ambulatory basis while resuming their habitual daily activities.
To calculate absolute bioavailability, two additional subjects received a single i.v. bolus of 1 mg of 19-nor-testosterone, with sampling before injection and at 2, 4, 6, 8, 10, 15, 20, 30, 45, 60, 120, 180, 240, 360, 480, 720, 900, 1440, 1980 and 2880 min. For this study, crystalline nandrolone (Steraloids Inc., Wilton, NH) was dissolved in dehydrated ethanol BP (David Bull Laboratories, P/L, Mulgrave, Australia) at a concentration of 40 g/liter, from which a nandrolone stock solution (2 mg/ml in 15% ethanol) was produced by appropriate dilution with sterile saline. The nandrolone stock was filtered through a 0.2-µm cellulose acetate filter (Minisart NML; Sartorius GmBH, Gottingen, Germany), and the first 1 ml was discarded. Preliminary experiments showed that >80% of tracer nandrolone was recovered after such filtration. At the start of the study, the stock solution was diluted 10-fold with sterile normal saline in a 20-ml syringe (final ethanol concentration, 1.5%) and 5.0 ml was infused rapidly (within 10 sec) via an indwelling cannula in a forearm vein (nominal dose, 1.0 mg), followed by a flush of the syringe and cannula with an additional 5 ml of sterile saline solution. Aliquots of the injection solution were kept for subsequent assay of the exact amount of nandrolone administered. Blood sampling was from another cannula placed in the other arm.Assays.
Plasma samples were stored at
20°C until assay
in a single batch per analyte. Steroids were measured by
radioimmunoassay after extraction from plasma by a modification of a
solid-phase method (Vining, 1980
). Serum (200 µl for the nandrolone
assay and 75 µl for the testosterone assay) was applied to a 5-cm
mini-column of Extrelut (kieselguhr; Merck, Kilsyth, Australia) packed
in a Pasteur pipette. Steroids were eluted by four washes of 750 µl
of hexane/ethyl acetate (3:2) at 5-min intervals, the combined eluate
was dried and the extract was reconstituted in assay buffer. Extraction
efficiency was 97 ± 5% (n = 29) for testosterone
and 90 ± 5% (n = 25) for nandrolone; therefore,
no corrections were made for extraction losses. Radioactivity was
measured with a Wallac 1410 liquid scintillation counter (Wallac Oy,
Turku, Finland) and a LKB 1261 Multigamma gamma counter (Wallac Oy),
using RIACALC data reduction software on an IBM-compatible computer.
All steroid assay reagents were of analytical or higher grade.
ED80), medium
(
ED50) and high (
ED20) levels of the standard curve (n = 16-24 assays) were 11.7, 9.8 and
11.9% (between-assay) and 6.2, 3.5 and 5.3% (within-assay),
respectively.
Plasma testosterone was measured by radioimmunoassay using a rabbit
antibody to testosterone-3-O-carboxymethyloxime-bovine serum
albumin (SGT-1, supplied by Dr. B. Caldwell, Yale University), [1,2,6,7,16,17(N)-3H]testosterone (specific activity,
5.00-6.66 TBq/mmol; DuPont, North Ryde, Australia), testosterone
standard (Steraloids), extracts of plasma equivalent to 12.5 µl/tube
and a dextran-charcoal separation of bound and free steroid. Correction
was made for cross-reactivity with nandrolone (20.5%), but
cross-reactivities with dihydrotestosterone (21.1%), androstenedione
(2.5%), estradiol (0.17%), nandrolone phenylpropionate (0.04%) and
nandrolone decanoate (<0.0002%) were negligible in relation to
circulating levels. The assay detection limit
(B/Bo = 0.90) was 2 pg/tube (equivalent to
0.6 nM), and the ED50 was 22 pg/tube (equivalent to 6 nM).
Coefficients of variation at low (
ED80), medium
(
ED50) and high (
ED20) levels on the
standard curve (n = 8-32 assays) were 12.6, 17.1 and
12.9% (between-assay) and 8.3, 3.7 and 6.0% (within-assay),
respectively.
Plasma inhibin was measured by a heterologous double-antibody
radioimmunoassay established in our laboratory (Handelsman et al., 1990Data analysis.
Plasma nandrolone, testosterone and inhibin
levels were initially analyzed to evaluate the full time course for
each hormone by repeated-measures analysis of variance with BMDP 5V
software (Dixon, 1992
), testing main effects by the Wald
2 test and using suitable linear contrasts to define
effects of ester, injection site and volume. Due to the very different
time courses of the phenylpropionate and decanoate esters, the three groups (groups 2-4) receiving the decanoate ester were also analyzed separately.
|
(1) |
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(2) |
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(3) |
P) is the
proportion of the bioavailable dose absorbed by k2. The convolution of these input functions
with a biexponential disposition function yielded equations 4 and 5,
which describe the plasma concentrations over time after i.m. injection
for the monoexponential and biexponential absorption models,
respectively.
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(4) |
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(5) |
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TV is the typical value of the parameter
in the population and
is a random variable with mean 0 and variance
2. The estimates of
obtained with NONMEM are similar
to the coefficient of variation for the parameter, which we report as
the population variability, expressed as a percentage. We used a
"constant coefficient of variation" model for the variance of the
intraindividual residual error. Empirical Bayesian estimates of the
individual pharmacokinetic parameters were obtained based on the
typical values of the structural model parameters and on the variances
of the interindividual errors. These population pharmacokinetic models
were implemented with the computer program NONMEM (Beal and Sheiner,
1992Pharmacodynamics. The pharmacodynamic effects of nandrolone on plasma testosterone and inhibin were estimated by nadir concentration, time of nadir, net secretion and duration of suppression. The duration of suppression was defined as the time when plasma testosterone levels were below normal (<10 nM) or inhibin levels were reduced by 50% of base line. The effects of ester, injection site and volume were determined by parametric (testosterone) and nonparametric (inhibin) analysis of variance.
This pharmacodynamic analysis was extended by building a population pharmacodynamic model, again using the approach of Mandema et al. (1992)
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(6) |
) to describe the steepness of this relationship
|
(7) |
was implemented as
= 1 +
, to enable a comparison of the
full model (
> 1) and reduced model (
= 1,
= 0) using
the likelihood ratio test.
Alternatively, partial inhibition of the input rate can be modeled with
an additional term expressing the fractional inhibition (Imax), as shown in equation 8.
|
(8) |
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(9) |
) were assumed to
have a logarithmic-normal distribution, and the variance of the
residual errors was assumed to be homoscedastic. As described for the
pharmacokinetic analysis, a GAM was used to identify significant
covariates, and NONMEM was used to develop the final pharmacodynamic
model. All data are expressed as mean ± S.E.M.
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Results |
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Volunteers randomized into the four groups were comparable in anthropometric and hormonal variables (table 1). There were no significant differences between groups in mean dehydroepiandrosterone sulfate, LH, FSH, prolactin, insulin-like growth factor-I, hemoglobin, urea or creatinine concentrations (data not shown), which were normal for all men.
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Global statistical analysis.
Considering all four groups,
global statistical analysis demonstrated significant differences in the
time course of plasma nandrolone concentrations (group,
2 = 84.6, 3 dF, P < .001 by Wald test; group × time interaction,
2 = 643, 66 dF, P < .001).
These systematic differences were attributable to differences between
different nandrolone esters (table 2). Similarly the
time course of plasma testosterone concentrations varied significantly
by group (group × time interaction,
2 = 266, 66 dF, P < .001) due to effects of both ester and injection site
(table 2). To adjust for the dominating effect of differences between
esters, a global analysis conducted for the three groups receiving
nandrolone decanoate (groups 2-4) demonstrated significant effects of
injection site on plasma nandrolone levels, as well as effects of
injection volume and site on plasma testosterone and inhibin levels
(table 3).
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Pharmacokinetic analysis.
Plasma nandrolone concentrations
reached higher and earlier peak concentrations and had a shorter mean
residence time after injection of the phenylpropionate ester (group 1;
n = 7), compared with the other three decanoate ester
groups (fig. 1; tables 2 and 4). Analysis
of the concentration data obtained from the two subjects who received
i.v. nandrolone gave the following values: area under curve/unit
dose = 1.3224 × 10
3 days/liter, mean residence
time = 25.65 ± 5.22 min, volume of distribution = 11.46 ± 0.30 liters and systemic clearance = 31.52 ± 7.26 liters/hr. From the optimal triexponential curve fit, the following parameters were estimated: A = 153.3 ± 2.7 nM,
= 0.4132 ± 0.0030 min
1,
B = 8.8659 ± 0.4575 nM,
= 0.0098 ± 0.0022 min
1, C = 0.9708 ± 0.0066 nM
and
= 0.00043 ± 0.00045 min
1. Based on the
area under the curve estimates for these two subjects, the absolute
bioavailability of nandrolone from i.m. injections of esters was
significantly higher for nandrolone decanoate injected into gluteal
muscle with a 1-ml volume (73%), compared with the other three groups
(53-56%).
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2 was difficult to estimate accurately, it
describes the very slow terminal elimination phase (fig. 2) and
significantly improved the logarithmic-likelihood objective function of
the model, as exemplified by the improved fit of the two-compartment,
compared with one-compartment, disposition function.
Pharmacodynamic analysis.
Plasma testosterone concentrations
were most rapidly and completely suppressed within the first week after
injections of the phenylpropionate ester (fig. 3; tables
2 and 6), but this suppression was sustained for the
shortest time. The duration of suppression was significantly longest
after the gluteal 1-ml injection. Plasma testosterone concentrations
returned to base line by day 13 after the phenylpropionate ester but
required >20 days to return to base-line levels after the decanoate
ester. Among the decanoate ester injections, both injection volume and
site significantly influenced plasma testosterone concentrations
(tables 3 and 6). Plasma inhibin levels after decanoate ester
injections were suppressed to significantly lower nadir levels after
1-ml gluteal injection (fig. 3; table 6). Plasma inhibin was not
assayed after nandrolone phenylpropionate (group 1) injection.
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Discussion |
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The present study demonstrates that, in addition to the chemistry
of the side-chain ester, both injection site and volume can
systematically influence blood nandrolone levels after i.m. injection
of nandrolone esters in an oil vehicle formulation. Corresponding to
the patterns of blood nandrolone concentrations, pharmacodynamic
indices reflecting androgen-induced inhibition of pituitary-testicular
function, namely blood testosterone and inhibin concentrations, are
also systematically influenced by these factors. Crucially, the
mixed-effects pharmacodynamic modeling demonstrated that essentially
all of the pharmacodynamic variability in plasma testosterone and
inhibin concentrations was accounted for by the variability between
esters and the site and volume of injection of the nandrolone
injections. The present study extends knowledge of the clinical
pharmacokinetics of nandrolone esters, which were reported in two
previous studies concerning nandrolone decanoate kinetics in humans
(Belkien et al., 1985
; Wijnand et al., 1985
);
there are no reports of the pharmacokinetics of the phenylpropionate
ester.
One feature of this study is the use of the population pharmacokinetic
approach to integrating pharmacokinetic and pharmacodynamic data.
Whereas the global statistical analysis indicates the significance of
some key variables, a structural model allows more physiological interpretation of the findings, especially identifying the
relationships between the pharmacokinetic and pharmacodynamic effects.
We have used an indirect response model (Dayneka et al.,
1993
), which allows for more physiologically meaningful models, more
realistic interpretation of derived estimates and statistically valid
testing for categorical covariables, while more efficiently using all of the experimental data (Jusko and Ko, 1994
). The indirect
physiological model-based approach also readily allows incorporation,
into a general model, of data from different subpopulations where the kinetics and dynamics had differing shapes for the effective
dose-response relationships. It is a striking validation of the
model-based estimates that the nadir concentrations of testosterone and
inhibin correspond very accurately to the known concentrations of these hormones in castrated men (1-3 nM and 0 pg/ml, respectively)
(McLachlan et al., 1990
; Handelsman, 1994
).
An interesting feature of this analysis of testosterone suppression is
that the first-order rate constant for the response compartment
(kout) does not correspond to the metabolic
clearance rate for testosterone. Using either bolus injection or
steady-state infusion, the metabolic clearance rate for testosterone in
men is ~540 liters/m2/day (Gandy, 1977
) and the volume of
distribution is 10 to 20 liters, which is similar to the 11.5 liters
estimated in this study for nandrolone, a molecule almost identical to
testosterone. These estimates would indicate a
kout value of ~50 day
1, whereas
our observed estimate for kout was 0.708 day
1; the latter is consistent with a much slower rate
(half-time, ~1 day). This discrepancy is attributable to the fact
that the overall kinetics of suppression of testosterone are dominated by the slow negative feedback system, rather than the much faster metabolic clearance of testosterone. This negative feedback is mediated
via inhibition of pulsatile gonadotropin-releasing hormone secretion from hypothalamic neurons into the pituitary portal system
and then pituitary LH secretion from gonadotropes. For example, a
highly potent and specific gonadotropin-releasing hormone antagonist
that causes immediate cessation of gonadotropin-releasing hormone
action leads to castrate testosterone concentrations within 12 hr
(Behre et al., 1992
), compared with 5 to 10 days in this study. This illustrates the need for physiological insight when interpreting indirect pharmacodynamic models because, in this instance,
the relationship between circulating nandrolone concentration and the
input function to the model may itself be indirect. Our paradigm
exemplifies a paradigm where the kout parameter
may accurately predict the time course of overall behavior of a system
without corresponding to the metabolic clearance rate of the drug or
the pharmacodynamic endpoint under study.
In the present study we have used specific radioimmunoassays to measure
the nandrolone, testosterone and inhibin concentrations, with the
latter two representing effective markers of endogenous pituitary
gonadotropin (LH and FSH, respectively) secretion. This reflects the
physiological fact that pituitary LH acts exclusively upon testicular
Leydig cells, due to their unique expression of cell surface membrane
LH receptors. In healthy men, virtually all circulating testosterone
originates from Leydig cells, with an absolute requirement for trophic
influence from LH derived from the bloodstream. Similarly, pituitary
FSH acts exclusively upon testicular Sertoli cells, which uniquely
express FSH receptors on their cell surface membranes, and virtually
all circulating immunoreactive inhibin originates from the gonads
(Burger, 1992
). As a result, blood levels of these two hormones are
useful integrated bioassay indicators of endogenous pituitary
gonadotropin secretion, as reflected by the testicular hormonal
response to ambient blood LH and FSH levels. In the present study,
these two pharmacodynamic indices showed physiologically meaningful
distinctions between the esters and the effects of injection site and
volume.
Variations in side-chain ester chemistry are important in the
pharmacokinetics of androgen esters in oil vehicle (Behre et al., 1990
). Experimental studies suggest that absorption rates are
predicted by the oil/water partition coefficients (or hydrophobicity) and that the oil vehicle is absorbed more slowly than the androgen ester (Tanaka et al., 1974
). In humans, the very short
propionate (three-carbon aliphatic) ester of testosterone has
distinctly shorter duration of action than esters with longer (seven-
or eight-carbon) side-chains (Nieschlag et al., 1976
;
Schulte-Beerbuhl and Nieschlag, 1980
; Schurmeyer and Nieschlag, 1984
;
Belkien et al., 1985
; Fujioka et al., 1986
). More
subtle changes in side-chain ester structure have proven ineffective in
altering human clinical pharmacokinetics, because substitution of a
linear aliphatic side-chain of seven carbons (enanthate) with either a
saturated, cyclized, seven-carbon aliphatic chain
(cyclohexanecarboxylate) (Schurmeyer and Nieschlag, 1984
) or a linear,
aliphatic, eight-carbon chain (cypionate) (Schulte-Beerbuhl and
Nieschlag, 1980
) resulted in virtually unchanged kinetics. Wider
variation in ester side-chain chemistry to include greater chain length
and/or aromatic ring structures is a more effective determinant of
ester pharmacokinetics, because nandrolone hexoxyphenylpropionate ester
(aromatic ring with 18 carbons) had far better depot properties, with a
prolonged and retarded release profile, compared with the decanoate
(aliphatic chain with 10 carbons) (Belkien et al., 1985
).
The present study indicates that a side-chain ester consisting of a
10-carbon aliphatic chain has better depot properties than a
nine-carbon chain including an aromatic ring. Because the vehicle
(arachis oil) was unchanged during this study and because of the
experimental observation that the oil vehicle influences local reaction
to the oil injection (Brown et al., 1944
), as well as
androgen ester pharmacology (Ballard, 1980
; Al-Hindawi et
al., 1986
), the present conclusions may be extrapolated to other
vegetable oil injection vehicles only with caution.
Injection technique, including injection site, volume and
concentration, as well as the nature of the vehicle, could
theoretically be important for androgen ester release rate. Injection
site may be important because of differences in tissue composition
(Cockshott et al., 1982
) and blood flow (Bederka et
al., 1971
); indeed, i.m. oil-based injections may more accurately
be termed intermuscular (Ballard, 1968
) or intralipomatous (Cockshott
et al., 1982
). The former reflects the tendency of oil
vehicle to distribute along intermuscular fascial planes (Ballard,
1968
), whereas the latter depends upon the amount of fat at the
injection site (including systematic gender differences) (Modderman
et al., 1983
) together with needle geometry and anatomy of
the injection depot. Intralipomatous deposition of injections with a
larger vehicle volume may explain the slower release kinetics of
nandrolone decanoate in the gluteal region, as well as the differences
from the deltoid site, which has a lower fat content. The higher blood
flow in the deltoid, compared with the gluteal, muscle (Evans et
al., 1975
) may also be important. Analogous site-dependent
differences in absorption rate and physiological effects have been
described for a variety of drugs in aqueous solution (Greenblatt and
Koch-Weser, 1976
). To our knowledge, there are no previous reports
examining the systemic pharmacokinetic and pharmacodynamic effects of
injection site and volume for androgen esters in oil vehicle in men.
One possible clinical impact of these observations may lie in recent
observations of differences between population groups in the efficacy
of regular i.m. injections of testosterone enanthate in an oil vehicle
to suppress testicular function for male contraception (World Health
Organization Task Force on Methods for the Regulation of Male
Fertility, 1990
). In that and related (World Health Organization Task
Force on Methods for the Regulation of Male Fertility, 1993
) studies,
interethnic differences in susceptibility to androgen-induced azoospermia were not due to differences in overall body size or related
differences (Handelsman et al., 1995
). Evaluation of the possibility of ethnopharmacological differences, however, required a
greater understanding of the rate-determining mechanisms of androgen
release from androgen ester depots in oil vehicles. The present
findings suggest that differences in absorption of androgen esters may
contribute to such interethnic differences through possible local
mechanical factors (e.g., exercise, compression and muscle
and fat mass) at the injection site, and this issue warrants further
study. Analogous variations in the pharmacokinetics of steroid esters
have been reported among women from different countries using
long-acting contraceptive steroids (Garza-Flores, 1994
), although no
explanation has been advanced. Further analysis of the present
observations may facilitate such ethnopharmacological studies, as well
as clinical applications of androgen esters in oil vehicle
formulations.
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Acknowledgments |
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The authors thank Paul Mutton for his help in conducting this study. The authors are also grateful to Dr. G. Bialy of the Contraceptive Development Branch, National Institute of Child Health and Human Development, for kindly supplying inhibin kits and to Christine Young and Jennifer Spaliviero for assisting with assays.
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Footnotes |
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Accepted for publication November 26, 1996.
Received for publication September 10, 1996.
1 This study was supported by Organon (Australia) Pty Ltd.
Send reprint requests to: Dr. D. J. Handelsman, Andrology Unit, Royal Prince Alfred Hospital, Department of Medicine (D02), University of Sydney, Sydney NSW 2006, Australia.
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Abbreviations |
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FSH, follicle-stimulating hormone; GAM, generalized additive model; LH, luteinizing hormone.
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References |
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