Department of Pharmaceutics, Faculty of Pharmaceutical Sciences,
The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113, Japan
(K.T., T.T., H.S. and Y.S.),
Central Research Laboratories, Kyorin
Pharmaceutical Co., Ltd., Nogi 2399-1, Nogi-machi, Shimotsuga-gun,
Tochigi 329-01, Japan (T.O.)
 |
Introduction |
Because
the BBB and BCSFB are responsible for ligand transfer among the
circulating blood, brain parenchymal tissue and CSF, it has been
assumed that the BBB and BCSFB represent a predominant pathway for
ligand distribution in the brain and CSF, respectively. However, if we
consider the fact that 1) there is free ligand exchange between brain
ISF and CSF across the ependymal surface and 2) several specific
transport systems have been reported to play important roles at the BBB
(Pardridge and Oldendorf, 1977
; Pardridge, 1983
; Smith et
al., 1987
; Terasaki and Tsuji, 1994
) and BCSFB (Spector, 1982
,
1986
) in terms of ligand transport, it is necessary to examine the
contribution of these two pathways to the distribution of drugs in
brain tissue and CSF by using the pharmacokinetic model. Considering
drug diffusion in brain parenchymal tissue, Collins and Dedrick (1983)
and Collins (1983)
have demonstrated that a distributed model is useful
to analyze drug distribution in brain tissue and CSF. Using this model,
we have recently shown that the organic anion efflux transport systems across the BBB and BCSFB play a dominant role in the elimination of
-lactam antibiotics from the CSF (Ogawa et al., 1994
;
Suzuki et al., 1997
).
For the effective treatment of AIDS-ADC or AIDS encephalopathy,
anti-HIV drugs such as AZT and DDI need to reach the CNS in significant
amounts. However, several investigators have demonstrated that the CNS
distribution of AZT (Terasaki and Pardridge, 1988
; Galinsky et
al., 1990
; Masereeuw et al., 1994
; Wang and Sawchuk, 1995
) and DDI (Anderson et al., 1990
; Hoesterey et
al., 1991
) is restricted. Although the probenecid-sensitive efflux
transport system across the BCSFB has been reported to be responsible
for the restricted distribution of DDI both in CSF and brain
parenchymal tissue (Galinsky et al., 1991
), there have also
been reported that BBB efflux transport is responsible for the
restricted cerebral distribution of AZT (Wang and Sawchuk, 1995
;
Dykstra et al., 1993
). Moreover, we have shown that AZT and
DDI are transported from brain tissue into the circulating blood across
the BBB via a probenecid-sensitive carrier-mediated system
(Takasawa et al., 1997
).
Accordingly, the purpose of the present study is to provide kinetic
evidence of the contribution of these two barriers, by means of a
distributed model, on the restricted distribution of AZT and DDI in
brain tissue and CSF.
 |
Materials and Methods |
Materials.
[Methyl]-3H-3
-azido-3
-deoxythymidine
([3H]AZT; 20 Ci/mmol) and
[2
,3
-3H(N)]-2
,3
-dideoxyinosine
([3H]DDI; 42 Ci/mmol) were purchased from
Moravek Biochemicals Inc. (Brea, CA).
Carboxyl-14C-inulin (2.6 mCi/g) and
D-[1-14C]-mannitol (56.7 mCi/mmol)
were purchased from New England Nuclear (Boston, MA).
4-(2-Hydroxyethyl)-1-piperazineethanesulfonic acid from Dojin Chemicals
(Kumamoto, Japan) was of analytical grade. All other reagents were
commercial products of reagent grade and were used without further
purification. Male Wistar rats weighing 230 to 270 g were used
throughout the experiments which were carried out according to the
guidelines provided by The University of Tokyo Animal Care Committee.
Influx of [3H]AZT and
[3H]DDI into brain tissue and CSF.
Rats
were anesthetized with urethane (ethylcarbamate) (1.5 g/kg) and their
femoral artery and vein were cannulated with polyethylene tubing, PE50
(Becton Dickinson, Parsippany, NJ). [3H]AZT (44 µCi/kg, 2.2 nmol/kg) or [3H]DDI (88 µCi/kg,
2.1 nmol/kg) dissolved in 250 µl of saline was administered i.v.
via the femoral vein through the cannula. An aliquot of
blood (0.5 ml) was withdrawn from the femoral artery through the
cannula 1, 3, 5, 8 and 10 min after administration. Then 2, 5 or 10 min
after i.v. administration an aliquot of CSF specimen (50-150 µl) was
taken by cisternal puncture by using a syringe (27.5G; Terumo, Tokyo,
Japan) (Suzuki et al., 1988
, 1989
). Immediately after the
collection of CSF, rats were decapitated and the cerebrums were
removed. The ligand concentrations in the brain, CSF and plasma
specimens were determined according to the method described in the
following section.
The influx clearance of [3H]AZT and
[3H]DDI after i.v. bolus administration was
determined by the integration plot method originally proposed by Patlak
et al. (1983)
. With this procedure, if the uptake by tissues
is measured within a short period after administration during which the
efflux of parent drug and metabolites from the tissue compartment is
negligible, the amount of ligand in the tissues at time t (X(t)) is
described by the following differential equation (Patlak et
al., 1983
; Kim et al., 1988
; Kuwabara et
al., 1995
):
|
(1)
|
where CLuptake is the apparent tissue
uptake clearance and Cp(t) is the plasma concentration of ligand.
Integration of equation 1 yields
|
(2)
|
where AUC(0
t) represents
the area under the plasma concentration-time curve from time 0 to t.
Because the amount of ligands associated with the brain tissue in
vivo (Am(t)) is given by the sum of X(t) and the ligand amount
remaining in the vascular space of the brain, Am(t) is described by
equation 3:
|
(3)
|
where Vd is the capillary space in the
brain. Equation 3 can be rewritten as
|
(4)
|
The CLuptake value now can be obtained
from the initial slope of a plot of Am(t)/Cp(t) vs.
AUC(0
t)/Cp(t), designated as "integration
plot" (fig. 2) (Patlak et al., 1983
; Kim et
al., 1988
; Kuwabara et al., 1995
).

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Fig. 2.
Integration plots of AZT and DDI representing
apparent uptake at the BBB (A) and BCSFB (B) after i.v. bolus
administration. The solid lines were obtained by the nonlinear least
squares program. The symbols represent the observed values of the mean.
All values of S.E. are within the symbols. A, Brain ( :AZT, :DDI),
B, CSF ( :AZT, :DDI).
|
|
For the calculation, the concentration of drug in brain
tissue was determined from the apparent total brain concentration by
subtracting the drug concentration in the brain vascular space. A value
of 0.011 ml/g was used as the blood vascular volume, which was
calculated from the plasma vascular volume of 0.007 ml/g (measured with
inulin; Smith et al., 1988
), using a hematocrit of 0.35 (Blasberg et al., 1983
) .
Efflux of [3H]AZT or
[3H]DDI from CSF.
The efflux of
[3H]AZT or
[3H]DDI from CSF was examined after
i.c.v. bolus administration as described in a previous report (Suzuki et al., 1985
, 1989
). The rats were fixed in a stereotaxic
apparatus and a needle (350 µm o.d.; Seiseido Medical Industry,
Tokyo, Japan) connected to silastic tubing was inserted into the left
lateral ventricle through a hole drilled in the skull.
[3H]AZT (0.8 µCi) or
[3H]DDI (0.8 µCi) and
[14C]mannitol (0.018 µCi) dissolved in 10 µl physiological buffer were administered through the cannula. The
physiological buffer contained 122 mM NaCl, 25 mM
NaHCO3, 10 mM glucose, 3 mM KCl, 1.4 mM
CaCl2, 1.2 mM MgSO4, 0.4 mM
K2HPO4 and 10 mM
4-(2-hydroxyethyl)-1-piperazineethanesulfonic acid, pH 7.3 and was
equilibrated with
95%O2-5%CO2 gas at
37°C. After i.c.v. administration, aliquots of CSF (50-150 µl)
were withdrawn as described above at appropriate times.
Uptake of [3H]AZT or
[3H]DDI by brain slice.
The distribution
volume in the brain of [3H]AZT or
[3H]DDI was determined in an in
vitro brain slice uptake study, as reported previously (Kakee
et al., 1996
) with minor modification (Newman et al., 1991
). After decapitating rats, the cerebrums were
immediately removed and dissected in ice-cold oxygenated physiological
buffer. Using a microslicer, model DTK-2000, (Dosaka, EM, Kyoto,
Japan), five pieces of 300 µm in thickness were obtained at 2.0 mm
anterior to the bregma from one cerebrum, kept in ice-cold oxygenated
physiological buffer equilibrated with
95%O2-5%CO2. After
preincubation for 5 min at 37°C, the uptake study was initiated by
transferring the slice to 50 ml of the oxygenated physiological buffer
containing [3H]AZT,
[3H]DDI or [14C]inulin,
at 4 × 10
3 µCi/ml, 4 × 10
3 µCi/ml or 1 × 10
2 µCi/ml, respectively. At appropriate
times, brain slices and an aliquot of 500 µl of the uptake medium
were collected. In the [14C]inulin uptake
study, brain slices were dissolved in 2.5 ml 2 N NaOH at 50°C for 3 hr. The radioactivity of dissolved tissue and uptake medium were
determined in liquid scintillation cocktail by a liquid scintillation
counter (LC6000, Beckmann, Instruments, Inc., Fullerton, CA). In the
[3H]AZT and [3H]DDI
uptake study brain slices and uptake medium were stored at
20°C and
the determination of unmetabolized drug was carried out by HPLC.
Plasma protein binding of [3H]AZT
and [3H]DDI.
The unbound fraction of
[3H]AZT and [3H]DDI in
plasma was determined by ultrafiltration method as described
previously (Shimamura et al., 1994
). Plasma samples
containing 0.1 µM of AZT and DDI were incubated at 37°C for 30 min
and then centrifuged (2,000 × g) for 10 min through a
suitable membrane (MPS-3; Amicon, Division, W. R. Grace & Co.,
Danvers, MA). The filtrate was collected and an aliquot of 10 µl
analyzed by HPLC and counted in a liquid scintillation counter.
Analysis of [3H]AZT and
[3H]DDI concentrations in the
specimen.
Unmetabolized [3H]AZT
and [3H]DDI in brain tissue, brain slice,
plasma, CSF and uptake medium were determined by HPLC. For the analysis, 0.6 ml physiological buffer was added to 0.6 g brain and
then homogenized in an ULTRA-TURRAX T25 (Janke & Kunkel,
IKA-Labortechnik, Germany). Then 2.1 ml acetonitlile were added to the
homogenate, mixed well and kept at 4°C for 1 hr. After centrifugation
for 15 min at 3000 rpm, the supernatant was evaporated to dryness under
a stream of N2 and then reconstituted with 180 µl mobile phase. After filtration through a membrane filter
(0.45 µm, pore size; Millipore, Bedford, MA), 100 µl of aliquot
were loaded onto a reversed-phase HPLC column, TSK gel ODS-80 (15.0 cm × 4.6 mm i.d., Toso, Tokyo, Japan). A constant flow solvent
delivery system, model 655A-11 (Hitachi, Tokyo, Japan) was used. It was
equipped with an injection system, Rheodyne model 7125, with a 200-µl
injection loop and a UV detector (model 638-41, Hitachi). A guard
column (1.5 cm × 3.2 mm i.d., Toso, Tokyo, Japan) was placed
between the injector and the analytical column. The mobile phase was
methanol-0.01 M ammonium acetate [23:77 (v/v), AZT; 11:89 (v/v),
DDI], pH 6.5 at a flow rate of 0.8 ml/min. The column and solvent were
kept at ambient temperature. The absorbance of the eluent was monitored continuously at 254 nm. Eluent was collected using a fraction collector, Model 2110 (Bio-Rad, Richmond, CA) and 10 ml liquid scintillation cocktail were added to each fraction. The radioactivity of the resulting mixture was measured in a liquid scintillation counter.
For the analysis of plasma, an aliquot of 200 µl acetonitlile
was added to 200 µl plasma, mixed well and kept at 4°C for
1 hr. Then, unmetabolized [3H]AZT and
[3H]DDI were determined as for brain tissue.
For the analysis of CSF, an aliquot (50-150 µl) of CSF was
centrifuged for 0.5 min at 13,000 rpm in a Microfuge E (Beckman, CA).
Then, an aliquot (50-100 µl) of the filtrate was subjected directly
to HPLC.
For the analysis of brain slices, a piece (ca., 30-50 mg)
of each slice was homogenized with 1.0 ml physiological buffer. After
addition of 3.5 ml acetonitlile, the sample was treated exactly as for
brain tissue except that for the reconstitution an aliquot of 200 µl
mobile phase was added. For the analysis of uptake medium, an aliquot
of 500 µl medium was injected onto the HPLC system.
Because the percentage unmetabolized in brain tissue, CSF and
plasma was 99.3 ± 7.0%, 93.5 ± 1.7% and
95.4 ± 3.0% for [3H]AZT, respectively,
10 min after i.v. administration, the total radioactivity was measured
to determine the concentration of [3H]AZT after
i.v. and i.c.v. administration. For [3H]DDI,
however, because the percentage unmetabolized in brain tissue, CSF and
plasma was 36.4 ± 2.8%, 23.5 ± 1.5% and 50.2 ± 3.8% for [3H]DDI, respectively, 10 min after
i.v. administration, the previously described HPLC method was used to
determine the concentration of [3H]DDI after
i.v. and i.c.v. administration. We found that the percentage
unmetabolized in the CSF 10 min after i.c.v. administration of
[3H]DDI was more than 80%.
Theoreticals.
Figure 1
illustrates a distributed model that has been proposed previously
(Collins and Dedrick, 1983
; Collins, 1983
). Analysis was performed
according to the method described previously (Suzuki et al.,
1997
) with some modifications. To derive the mass balance equation, we
have assumed that 1) brain tissue and CSF are described by a
one-dimensional slab of tissue; 2) a drug molecule diffuses through
brain tissue in accordance with Fick's law of diffusion; 3) a drug is
transported by an influx and efflux system across the BBB and BCSFB; 4)
there is a bulk flow of CSF at a constant rate; 5) a drug distributes
into the intracellular fluid space in the brain.
Model analysis after i.v. administration.
Equation 4 represents a mass balance equation describing drug
concentration in brain tissue and CSF after i.v. administration.
|
(4)
|
where Cbr(x, t) is the drug concentration
in brain tissue at distance x from the surface of the
ependymal cell layer at time t, Dt is the
apparent diffusion coefficient in brain tissue,
PSBBB and PSBBB,eff are the
symmetrical permeability clearance across the BBB and the efflux
transport clearance from the brain into the blood across the BBB,
respectively, Cp,u(t) is the unbound drug concentration in plasma, and
Vbr is the distribution volume defined as the
ratio of the drug concentrations in brain tissue and ISF space. As an
initial condition of equation 4, Cbr(x, 0) is
zero at time t = 0 was assumed.
As a boundary condition where the distance x is zero, the following
relation was used which was obtained for a mass balance equation for
the CSF.
|
(5)
|
|
(6)
|
where CCSF is the CSF concentration,
CISF is the brain ISF concentration,
VCSF is the volume of the CSF,
PSCSF is the symmetrical permeability clearance
across the BCSFB, PSCSF,eff is the efflux transport clearance across the BCSFB, Q is the bulk flow rate of the
CSF and Ar is the surface area of the
cerebroventricular ependyma. The physiological and anatomical
parameters are listed in table 2.
As a boundary condition where the distance x is significantly greater
than x*, the following equation was used which was derived by ignoring
the effect of CSF.
|
(7)
|
Taking the Laplace transform of equations 4, 6 and 7 the
following equation can be derived for the drug concentration in brain
tissue at distance x.
|
(8)
|
where the plasma unbound concentration at time t,
Cp,u(t), can be described by the following equation.
|
(9)
|
and
Defining the thickness of cerebral cortex surrounding the CSF as
L, then, the following equation can be derived for the average drug
concentration,
br(s), in brain.
|
(10)
|
Regarding the CSF concentration at time t, x equals zero and
equation 8 becomes
|
(11)
|
Model analysis after i.c.v. administration.
Equation 12
represents a mass balance equation describing drug concentration in
brain tissue and CSF after i.c.v. administration.
|
(12)
|
Taking x and t of equation 12 as zero, as an initial condition,
the following relation is obtained for the CSF concentration.
Assuming equation 5, the following relation is
obtained.
|
(13)
|
As a boundary condition where the distance x is zero, the
followingrelation is derived.
|
(14)
|
As a boundary condition where the distance x is significantly
greater than x*, the following relation is obtained.
|
(15)
|
Taking the Laplace transform of equations 12 and 14, the
following equation can be derived.
|
(16)
|
AUCCSF after i.c.v. administration is
obtained as,
|
(17)
|
The efflux clearance from the CSF after i.c.v. administration
can be described by the following equation.
|
(18)
|
 |
Results |
Disposition of [3H]AZT and
[3H]DDI in the CNS.
The apparent influx
clearance across the BBB was determined from the slope of the
brain-to-plasma concentration ratio (Kp,app.) vs. the ratio of the area under the plasma
concentration-time curve from time 0 to t
(AUC(0
t)) to the plasma concentration after
i.v. administration. As shown in figure
2A, CLuptake values for [3H]AZT and [3H]DDI
were found to be 2.88 ± 0.43 and 0.716 ± 0.172 µl/min/g brain (mean ± S.D.), respectively. The apparent intercept at zero time was found to be 25.3 ± 3.1 µl/g brain for
[3H]AZT and 16.0 ± 2.2 µl/g brain
(mean ± S.D.) for [3H]DDI.
The apparent influx clearance across the BCSFB, determined from
the slope of the CSF-to-plasma concentration ratio vs.
AUC(0
t)/Cp(t) plot (fig. 2B), were found to be
3.85 ± 0.58 and 1.60 ± 0.24 µl/min/ml CSF (mean ± S.D.), for [3H]AZT and
[3H]DDI, respectively. The apparent intercept
at zero time was found to be 38.3 ± 4.6 µl/ml CSF for
[3H]AZT and 7.16 ± 3.11 µl/ml CSF
(mean ± S.D.) for [3H]DDI.
By analyzing the CSF concentration-time profile shown in fugure 4C and
5C, the apparent efflux clearances of [3H]AZT
and [3H]DDI from CSF
(CLCSF), defined as the dose divided by the AUC in CSF, were calculated as 81.8 ± 9.0 and 64.5 ± 15.2 µl/min/rat (mean ± S.D.), respectively.
The unbound fraction of AZT and DDI at concentration of 0.1 µM in
plasma was found to be 0.849 ± 0.008 (mean ± S.E.,
n = 5) and 0.927 ± 0.012 (mean ± S.E.,
n = 5), respectively.
Uptake of [3H]AZT and
[3H]DDI by brain slice.
Figure
3 illustrates the time course of the
apparent slice-to-medium concentration ratio (S/M ratio) for
[3H]AZT, [3H]DDI and
[14C]inulin. The adherent water volume was
determined as the zero time intercept of
[14C]inulin, i.e., 0.104 ml/g brain.
No significant difference was observed in the S/M ratio of
[3H]DDI uptake at 30 min and 60 min.
Subtracting the adherent water volume from the apparent S/M ratio 30 min after incubation, the in vitro distribution volume of
[3H]AZT and [3H]DDI
were found to be 1.07 ± 0.09 ml/g brain and 0.727 ± 0.030 ml/g brain (mean ± S.E., n = 4, 5), respectively.

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Fig. 3.
Time courses of apparent uptake of
[14C]inulin, [3H]AZT and
[3H]DDI by brain slices. Each point represents the
mean ± S.E. of four to eight experiments.
|
|
The diffusion coefficients in agar-saline (water) at 37°C
(Dw) were estimated for AZT and DDI from their
molecular weights as described previously (Fenstermacher and Kaye,
1988
) and are listed in table 1. Using
the Vbr of AZT and DDI, the diffusion coefficients in brain tissue (Dt) were also
estimated as described previously (Fenstermacher and Kaye, 1988
) and
are listed in table 1.
Pharmacokinetic analysis of [3H]AZT and
[3H]DDI distribution in brain tissue and CSF
based on the distributed model.
The concentration-time profiles of
[3H]AZT and [3H]DDI in
brain tissue and CSF after i.v. bolus administration and in CSF after i.c.v. bolus administration are shown in figures
4 and 5,
respectively. Pharmacokinetic parameters describing plasma unbound
concentration-time profiles were found to be A = 1.59% of
dose/ml, B = 0.768% of dose/ml,
= 4.14 min
1 and
= 0.0629 min
1 for [3H]AZT
and A = 1.29% of dose/ml, B = 0.512% of dose/ml,
= 0.964 min
1 and
= 0.0636 min
1 for [3H]DDI,
respectively. The influx and efflux clearances of
[3H]AZT and [3H]DDI
across the BBB and BCSFB were obtained by fitting the data to equations
10, 11 and 16 using the nonlinear least squares method combined with a
fast inverse Laplace transform (MULTI (FILT)) (Yano et al.,
1989
). The initial and model-fitted parameters are listed in table 1.
Figures 4 and 5 show the good agreement between the observed and model
fitted concentration-time profiles of [3H]AZT
and [3H]DDI, respectively.

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Fig. 4.
Time courses of brain and CSF concentrations of AZT
after i.v. or i.c.v. administration to rats. A, Brain concentration
after i.v. administration. B, CSF concentration after i.v.
administration. C, CSF concentration after i.c.v. administration. The
symbols and solid line represent the observed values and the generated values using the best fitted parameters with a distributed model as
listed in table 1.
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|

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Fig. 5.
Time courses of brain and CSF concentrations of DDI
after i.v. or i.c.v. administration to rats. A, Brain concentration
after i.v. administration. B, CSF concentration after i.v.
administration. C, CSF concentration after i.c.v. administration. The
symbols and solid line represent the observed values and the generated values using the best fitted parameters with a distributed model as
listed in table 1.
|
|
Simulation study.
The effects of efflux transport across the
BBB and BCSFB on the distribution of AZT and DDI in brain tissue and
CSF were examined under several conditions. As shown in figure
6A, a significant increase in brain
concentration was observed when no efflux transport across the BBB was
assumed (PSBBB,eff = 0). However, no significant effect of efflux transport across the BBB was observed on the CSF
concentration-time profiles shown in figures 6B and C. Although a
significant decrease in the brain tissue concentration-time profile was
observed when no permeation across the BBB was assumed (PSBBB = PSBBB,eff = 0;
fig. 6A), no significant alteration were observed in the CSF
concentration-time profiles (figs. 6B and C). As shown in figures 6E
and F, significant increase in the CSF concentration-time profile was
observed when no efflux transport across the BCSFB was assumed
(PSCSF,eff = 0). However, no significant effect
of efflux transport across the BCSFB was observed on the brain tissue
concentration-time profile (fig. 6D). When no permeation across the
BCSFB was assumed (PSCSF = PSCSF,eff = 0), significant decrease (fig. 6E)
and increase (fig. 6F) in the CSF concentration-time profile after i.v.
and i.c.v. administration, respectively, was observed. No significant
effect was observed for the brain tissue concentration-time profile
when no permeation across the BCSFB was assumed,
(PSCSF = PSCSF,eff = 0;
fig. 6D).

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Fig. 6.
Effect of the BBB and BCSFB permeability on the
time courses of brain and CSF concentrations of AZT after i.v. or
i.c.v. administration to rats. A and D, Brain concentration after i.v.
administration. B and E, CSF concentration after i.v. administration. C
and F, CSF concentration after i.c.v. administration. The symbols and solid line represent the observed values and the generated values using
the best fitted parameters with a distributed model as listed in table
1. The dotted lines represent the simulated values. The parameters used
for the simulation are listed in table 1, unless indicated as follows.
A-C, PSBBB,eff = 0 (-·-·-), PSBBB = PSBBB,eff = 0 (- - -); D-F, PSCSF,eff = 0 (-·-·-), PSCSF = PSCSF,eff = 0 (- - -).
|
|
To investigate the distribution of DDI in brain tissue and CSF, similar
simulation studies were performed, i.e., the effects of
efflux transport across the BBB and BCSFB on the CNS disposition of DDI
was examined. As shown in figures 7A-F,
the results were very similar to those for AZT (figs. 6A-F) as far as
the distribution of DDI was concerned.

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Fig. 7.
Effect of the BBB and BCSFB permeability on the
time courses of brain and CSF concentrations of DDI after i.v. or
i.c.v. administration to rats. A and D, Brain concentration after i.v.
administration. B and E, CSF concentration after i.v. administration. C
and F, CSF concentration after i.c.v. administration. The symbols and solid line represent the observed values and the generated values using
the best fitted parameters with a distributed model as listed in table
1. The dotted lines represent the simulated values. The parameters used
for the simulation are listed in table 1, unless indicated as follows.
A-C, PSBBB,eff = 0 (-·-·-), PSBBB = PSBBB,eff = 0 (- - -); D-F, PSCSF,eff = 0 (-·-·-), PSCSF = PSCSF, eff = 0 (- - -).
|
|
Figures 8 and
9 show the results of a simulation study
examining the effect of the diffusion coefficient on the distribution in brain tissue and CSF for AZT and DDI, respectively. Assuming that
Dt = Dw or 1/100
Dt, only slight effects were demonstrated on the
distribution in brain tissue and CSF for AZT (fig. 8) and DDI (fig. 9).

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Fig. 8.
Effect of diffusion coefficient on the time courses
of brain and CSF concentrations of AZT after i.v. or i.c.v.
administration to rats. A, Brain concentration after i.v.
administration. B, CSF concentration after i.v. administration. C, CSF
concentration after i.c.v. administration. The symbols and solid line
represent the observed values and the generated values using the best
fitted parameters with a distributed model as listed in table 1. The lines represent the simulated values. The parameters used for the
simulation are listed in table 1, unless indicated as follows. Dt = Dw (-·-·-), Dt = Dt ( ), Dt = Dt/100 (- - -).
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Fig. 9.
Effect of diffusion coefficient on the time courses
of brain and CSF concentrations of DDI after i.v. or i.c.v.
administration to rats. A, Brain concentration after i.v.
administration. B, CSF concentration after i.v. administration. C, CSF
concentration after i.c.v. administration. The symbols and solid line
represent the observed values and the generated values using the best
fitted parameters with a distributed model as listed in table 1. The lines represent the simulated values. The parameters used for the
simulation are listed in table 1, unless indicated as follows. Dt = Dw (-·-·-), Dt = Dt ( ), Dt = Dt/100 (- - -).
|
|
Even if each of the Q, Ar and L values was varied from 50% to 150%
that used in the fitting, a change of less than 10% in the simulation
results has been observed for the distribution of AZT and DDI in the
brain tissue and CSF (data not shown), suggesting that our conclusion
may not be influenced by setting of these parameters.
 |
Discussion |
The endothelial cells of brain capillaries and epithelial cells of
choroid plexus are known to regulate the transfer of many compounds
among brain ISF, CSF and circulating blood (Pardridge and Oldendorf,
1977
; Pardridge, 1983
; Smith et al., 1987
; Terasaki and
Tsuji, 1994
; Spector, 1982
, 1986
). Although it is assumed that the
transport across the BBB rather than BCSFB plays a predominant role in
determining the brain-to-plasma concentration ratio of ligands after
i.v. administration since the surface area of the BBB is 5000-fold
greater than that of the BCSFB (Pardridge, 1983
), an analysis with the
distributed model in which the anatomical features of the CNS is
considered (Collins and Dedrick, 1983
; Collins, 1983
; Suzuki et
al., 1997
) will enable us to gain a deeper insight into drug
distribution mechanism in CNS. Several investigators have examined the
distribution of AZT and DDI in CNS by means of a compartmental model
(Tuntland et al., 1991
), brain microdialysis (Hoesterey
et al., 1991
; Kakee et al., 1996
; Wong et
al., 1993
) and an in vitro transport study (Masereeuw
et al., 1994
; Zimmerman et al., 1987
). The
present investigation, employing a distributed model, has clarified the
kinetic features of the restricted distribution of AZT and DDI in brain
tissue and CSF as follows; 1) efflux transport across the BBB plays a
dominant role in the apparently restricted distribution of AZT and DDI
in brain parenchymal tissue, but not in CSF; 2) efflux transport across
the BCSFB plays a dominant role in the restricted distribution of AZT
and DDI in CSF, but not in brain parenchymal tissue.
One of the advantages of employing a distributed model is that the
effect of drug diffusion through brain tissue can be investigated quantitatively in terms of distribution in CNS (Collins and Dedrick, 1983
; Collins, 1983
; Suzuki et al., 1997
; Dykstra et
al., 1993
). According to a previous report (Fenstermacher and
Kaye, 1988
), the apparent diffusion constants in brain tissue were
calculated as 5.38 × 10
5
(cm2/min) for AZT and 6.63 × 10
5 (cm2/min) for
DDI, by considering the reduced diffusion in the brain parenchymal
tissue compared with that in water (table 1).
Only a slight effect was shown on the brain tissue and CSF
concentration-time profiles by using a 100-fold smaller value
of Dt and the diffusion coefficient in water,
Dw (figs. 8 and 9). These results suggest the
minimal significance of diffusion of drug molecules between brain ISF
and CSF on the brain and CSF disposition. As HIV, in most cases, has
been found in brain capillary endothelial cells and parenchymal cells
surrounding the capillary endothelial cells and macrophages (Wiley
et al., 1986
; Koenig et al., 1986
), drug transfer
across the BBB is essential to increase AZT and DDI concentrations in
brain tissue. Moreover, these results suggest that the CSF
concentration cannot be used as an index of the brain tissue
concentration of AZT and DDI, if HIV infection does not cause any
significant increase in drug permeability via the BBB and/or
the BCSFB.
The distributed model gave equation 21, which can be used to
describe the brain-to-plasma unbound concentration ratio at steady state, Kp,u,br,ss (see Appendix). Using the
pharmacokinetic and physiological parameters listed in tables 1 and
2, the values of
Kp,u,br,ss were calculated to be 0.063 for AZT
and 0.018 for DDI, comparable with those in previous reports
(Galinsky et al., 1990
; Anderson et al., 1990
).
In the same manner, the values of Kp,u,CSF,ss, calculated with equation 22 in
Appendix, were 0.102 for AZT and 0.027 for DDI, which were very similar
to those in previous reports (Galinsky et al., 1990
;
Anderson et al., 1990
).
By analyzing the ligand amount remaining in the ipsilateral
cerebrum after microinjection into the cerebral cortex (BEI method; Kakee et al., 1996
), we have previously determined the
apparent efflux transport rate of AZT and DDI from brain to circulating blood across the BBB (Takasawa et al., 1997
). As shown in
table 1, the BBB efflux clearance obtained by distributed model
analysis was approximately 10-fold greater than that obtained by the
BEI study (Takasawa et al., 1997
). One possible explanation
to explain this contradiction is that the rate-limiting process for the
efflux of AZT and DDI from brain tissue to circulating blood is
ascribed to the abluminal membrane transport.
Regarding the characteristics of the efflux transport system
across the BBB, we have reported that AZT remaining in the ipsilateral cerebrum was significantly increased from 53.8 ± 1.8% to
69.3 ± 6.0%, 67.6 ± 3.3%, and 64.2 ± 3.5% of the
administered dose in the presence of probenecid (50 nmol/0.5 µl
injectate), PAH (500 nmol/0.5 µl injectate) and DIDS (5 nmol/0.5 µl
injectate), respectively, 20 min after intracerebral microinjection of
[3H]AZT in rats (Takasawa et al.,
1997
). The inhibitory effect of probenecid on the efflux of AZT is
consistent with a previous observation obtained by using brain
microdialysis (Dykstra et al., 1993
). Moreover, DDI
remaining in the ipsilateral cerebrum was significantly increased from
72.4 ± 3.9% to 92.6 ± 0.4% in the presence of probenecid
(50 nmol/0.5 µl injectate) 20 min after intracerebral microinjection
of [3H]DDI in rats (Takasawa et al.,
1997
). These results suggest that a carrier-mediated system shared by
probenecid is responsible for the efflux transport of both AZT and DDI
across the BBB (Takasawa et al., 1997
). Regarding BCSFB
transport, we have previously reported that the intact DDI remaining in
the CSF was significantly increased from 1.66 ± 0.64 to 28.3 ± 3.3% of the administered dose when probenecid (0.35 µmol) was
coadministered with [3H]DDI into the lateral
ventricle (Takasawa et al., 1997
). These results suggest
that an organic anion transport system at the choroid plexus is
responsible for elimination of DDI from CSF (Takasawa et
al., in press). Such an organic anion transport system located at
the basolateral membrane of the proximal tubule has been demonstrated
as being responsible for the elimination of AZT from the kidney
(Chatton et al., 1990
; Griffiths et al., 1991
).
Together with the previous findings, the results of our study
suggest that an efflux transport process across the BBB plays an
important role in determining the brain concentration of AZT and DDI.
This suggestion should be taken into consideration in designing
chemotherapeutic strategies and in developing new derivatives of AZT
and DDI for the treatment of ADC.
Accepted for publication May 16, 1997.
Received for publication September 10, 1996.