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Physiologically based pharmacokinetic prediction of telmisartan in human
Rui Li, Avijit Ghosh, Tristan S. Maurer, Emi Kimoto, Hugh A. Barton
Department of Pharmacokinetics, Dynamics, and Metabolism, Worldwide Research and Development, Pfizer Inc.,
Cambridge, MA (R.L., A.G., and T.S.M.) and Groton, CT (E.K. and H.A.B.).
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Running title: Physiologically based PK prediction of telmisartan in human
Corresponding author: Hugh A. Barton
Email address: [email protected]
Telephone number: +1 860 715 1020
Fax number: +1 860 686 5665
Number of text pages: 20
Number of tables: 3
Number of figures: 7
Number of references: 41
Number of words in the Abstract: 187
Number of words in the Introduction: 531
Number of words in the Discussion: 1500
List of nonstandard abbreviations
IVIVE, in vitro to in vivo extrapolation; Kp, tissue to plasma partition coefficient; HBSS, Hanks’ balanced salt
solution; HLM, human liver microsome; LC-MS/MS, liquid chromatography-tandem mass spectrometry; OATP,
organic anion-transporting polypeptide; PBPK, physiologically based pharmacokinetic; PET, positron emission
tomography; PK, pharmacokinetic(s); SCHH, sandwich culture human hepatocytes; SF, scaling factors; UGTs,
UDP-glucuronosyltransferase.
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Abstract
A previously developed physiologically based pharmacokinetic (PBPK) model for hepatic transporter
substrates was extended to an organic anion transporting polypeptide (OATP) substrate, telmisartan. Predictions
utilized in vitro data from sandwich culture human hepatocyte (SCHH) and human liver microsome (HLM) assays.
We have developed a novel method to calibrate partition coefficients (Kps) between non-liver tissues and plasma
based on published human positron emission tomography (PET) data in order to decrease the uncertainty in tissue
distribution introduced by in silico predicted Kps. With in vitro data-predicted hepatic clearances, published
empirical scaling factors (SFs), and PET-calibrated Kps, the model could accurately recapitulate telmisartan PK
behavior before 2.5 hours. Reasonable predictions also depend on having a model structure that can adequately
describe the drug disposition pathways. We showed that the elimination phase (2.5 to 12 hours) of telmisartan PK
could be more accurately recapitulated when enterohepatic recirculation of parent compound derived from intestinal
deconjugation of glucuronide metabolite was incorporated into the model. This study demonstrated the usefulness of
the previously proposed PBPK modeling approach for purely predictive IV PK simulation and identified additional
biological processes that can be important in prediction.
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Introduction
Predicting plasma and tissue pharmacokinetic profiles in human is a critical step during drug discovery.
Several attempts have been made to predict drug disposition through physiologically based pharmacokinetic (PBPK)
modeling incorporating in vitro data. PBPK models offer the opportunity to characterize the underlying biological
processes, and hence, have the potential to improve prediction accuracy. Typically, generic PBPK models assume
flow-limited distribution and well-stirred tissue kinetics. Successful predictions using these PBPK models have been
made for lipophilic compounds whose absorption and distribution are governed by passive processes (Jones et al.,
2006; Rostami-Hodjegan and Tucker, 2007; Jones et al., 2011). However, these models would not be expected to
provide reasonable predictions for compounds that are actively transported. To improve predictions for transporter
substrates, in vitro assays assessing active processes have been developed, and the active uptake rates estimated
from these assays have been integrated into PBPK models (Poirier et al., 2009; Watanabe et al., 2009; Jamei et al.,
2014). In these models, reasonable predictions for substrates of liver transporters are achieved only when empirical
in vitro to in vivo extrapolation (IVIVE) scaling factors (SFs) are applied. Previously, our group has developed a
liver transporter PBPK model and a unified set of SFs for hepatic uptake, passive diffusion, biliary and metabolic
clearances, which adequately describe the human PK of seven structurally diverse OATP substrates, based only on
in vitro sandwich cultured human hepatocytes (SCHH) and human liver microsome (HLM) data (Jones et al., 2012;
Li et al., 2014).
The aim of this study is to predict the human PK of an OATP substrate not previously evaluated, by
deriving the relevant hepatic clearance parameters from in vitro data and using the previously estimated empirical
SFs for those clearances within the PBPK framework. Telmisartan, a potent, long-acting, small molecule antagonist
of the angiotensin II type-1 receptor (Wienen et al., 2000), was chosen as the compound in this study because it is an
OATP substrate with clinical intravenous infusion data not included in our previous work (Jones et al., 2012; Li et
al., 2014). It has been reported to be predominantly transported into liver by OATP1B3 (encoded by the SLCO1B3
gene) (Ishiguro et al., 2006) and metabolized by UDP-glucuronosyltransferase (UGTs) 1A3 (Ieiri et al., 2011), with
negligible biliary and renal clearance of parent (Stangier et al., 2000a). Multiple clinical data (Stangier et al., 2000a;
Stangier et al., 2000b) are available to evaluate predictions. To help with the analysis, we split the time course into
the infusion and distribution phase (from 0 to 2.5 hour) and the elimination phase (after 2.5 hour).
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During the infusion and distribution phase, Kp values, governing tissue distribution, had a major impact on
plasma PK prediction. To estimate Kp, we translated the total energy absorbed by human tissues as reported in the
PET study (Shimizu et al., 2012) into tissue concentrations, as the total energy emitted from radiolabeled compound
is a function of the amount in the tissues. Human plasma PK predictions with in silico Kp values were compared
with the prediction using the PET Kp values. Deconjugation of glucuronide metabolite and enterohepatic
recirculation of parent were added to the PBPK model to account for the long half-life observed in telmisartan
clinical data.
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Materials and Methods
Modeling and simulations of plasma PK during the infusion and distribution phase
In vivo Model.
A previously published intravenous PBPK model (Li et al., 2014) was used to model the in vivo data. All
compartments are connected by the circulating blood system. Telmisartan distribution in the tissues except liver, and
the two tissues with the largest volume (i.e., adipose and muscle), is assumed to be perfusion limited. Telmisartan
distribution in the liver, adipose, and muscle is assumed to be permeability limited. The liver is modeled as a tissue
with 5 pairs of sub-compartments for liver blood (extracellular) and tissue (intracellular), whereas the adipose and
muscle are modeled with one pair of extracellular and intracellular sub-compartments. Renal clearance was set to
zero based on a previous report (Stangier et al., 2000a). In vitro unbound active uptake clearance (CLint, u, act),
unbound passive distributional clearance (CLint, u, pass), and unbound biliary clearance (CLint, u, bile), for telmisartan, as
well as unbound biliary clearance for telmisartan glucuronide (CLint, u, bile, glu) were estimated from SCHH using a
mechanistic model described in the following section. In vitro unbound metabolic clearance (CLint, u, met) was
estimated using HLM data. These in vitro clearances were physiologically scaled as described previously (Houston,
1994). Empirical scaling factors (SFs) for OATP substrates were those estimated in the previous study, in which the
active (SFact), passive (SFpass), metabolic (SFmet), and biliary (SFbile) scaling factor are 55, 0.092, 0.11, and 0.019,
respectively (Li et al., 2014). The product of physiologically scaled clearance and the previously derived empirical
SF is the in vivo clearance applied for in vivo simulation.
The following equations were added to the above PBPK model to predict the concentration of glucuronide
in liver tissue (CIC, glu) and residual liver bile (Cbile, glu), and the concentration of telmisartan in the residual liver bile
(Cbile, tel):
,, , , , , ,
, ,, , , , , , , , , , , ,
bile telbile bile u bile IC tel u liver tel liver bile bile tel
IC i glu gluIC met u met IC i tel u liver tel bile glu u bile glu IC i glu u liver glu
tel
bbile
dCV SF SCL C f Q C
dtdC MW
V SF SCL C f SF SCL C fdt MW
dCV
⋅ = ⋅ ⋅ ⋅ − ⋅
⋅ = ⋅ ⋅ ⋅ ⋅ − ⋅ ⋅ ⋅
⋅ ,, , , , , , , ,
ile glubile glu u bile glu IC glu u liver glu liver bile bile gluSF SCL C f Q C
dt= ⋅ ⋅ ⋅ − ⋅
(1)
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where fu, liver, tel and fu, liver, glu are the unbound fraction of telmisartan and glucuronide in the liver tissue. SCLu,bile,
SCLu,met, and SCLu, bile, glu are the physiologically scaled CLint, u, bile, CLint, u, met of unbound telmisartan, CLint, u, bile, glu of
telmisartan glucuronide. SFbile, glu is the biliary scaling factor for the glucuronide. Its value is either assumed to be the
same as SFbile, or was calibrated by fitting the total amount of telmisartan and telmisartan glucuronide in the liver
observed in the PET study (Shimizu et al., 2012). Vbile and Qliver, bile are the volume of bile ducts in the liver and the
bile flow rate. Vbile and Qliver, bile were set to previously reported values, i.e., 0.318% of liver volume (Casali et al.,
1994) and 350 mL/day (Davies and Morris, 1993), respectively. MWglu and MWtel are the molecular weight of
telmisartan glucuronide (690.76 g/mol) and telmisartan (514.62 g/mol).
Kp Calculation
Kp is defined as
( )
( )tissue
tissueplasma
C tKp
C t≈ (2)
Due to the rapid equilibrium in the post-distributional phase, the ratio between tissue concentration (Ctissue (t)) and
plasma concentration (Cplasma (t)) at any time t is assumed to be Kptissue.
We calculated tissueKp from the previously published absorbed dose in each tissue (Atissue) in the PET study
(Shimizu et al., 2012) and the plasma concentration time course. The time dependent molar concentration of drug in
plasma, ( )plasmaC t , is estimated using a previously published three-compartment population pharmacokinetic model
(Wallenstein et al., 1999).
The mean administered dose in the PET study is 1.05 µg (2.043×10-9 mole). If one assumes that every telmisartan
compound had been labeled with one 11C, the number of 11C disintegrations per unit time or total radioactivity ( Ω )
of that dose would be 6.972×105 MBq:
dose AN N λ=Ω ⋅ ⋅ (3)
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where doseN is molar amount of the dose, AN is Avogadro’s number, and λ is the decay constant of 11C. As the
observed mean injected activity was 106.2 MBq, this indicates that most of the dose is in fact unlabeled. The ratio of
labeled telmisartan at t = 0 to total dosed telmisartan is:
4
5
(0)(0)
106.21.52 10
6. 10972
labeled
dose
NR
N
−
=
= = ××
(4)
where R is the ratio between Ndose and amount of radiolabeled molecules (Nlabeled). This value is similar to a reported
typical value of only 1 in 1000 molecules labeled with 11C for PET studies (Schlyer, 2004). The amount of
radiolabeled compounds (Nlabeled) (and therefore the ratio ( )R t ) decreases due to radioactive decay according to the
standard 1st order radioactive decay process:
11 (0)
( )
(0)
t
dose
C
t
N eR t
N
R e λ
λ−
−
⋅=
= ⋅
(5)
By accounting for the volume of the tissue and rearranging equation (2), one can derive an expression for the total
amount of drug in the tissue at some time t :
( ) ( )
( ) ( )tissue tissue plasma
tissue tissue tissue plasma
C t Kp C t
N t Kp V C t
⋅
⋅
=
⋅= (6)
Since the decay rate is independent of tissue, this can be converted to the amount of 11C labeled drug in the tissue of
interest using eqn. (5):
11,( ) ( ) (0) t
tissue tissue plasmatissue CN t Kp V t R eC λ−= ⋅⋅ ⋅ ⋅ (7)
The total number of 11C disintegrations, D, in the tissue over the time course T of the experiment is expected to be:
11
0
,0
(
( )
( )0)
T
A tissue C
tA tissue tissue plasma
T
D N N t
N Kp V t e dt
dt
R C λ
λ
λ −
= ⋅ ⋅
= ⋅ ⋅ ⋅ ⋅ ⋅
∫
∫ (8)
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For each 11C disintegration, two positrons are generated and immediately annihilated releasing κ joules of energy,
where for dual positron annihilation, 131.637 10 Jκ −= × . This implies that the total energy per kg tissue (the
absorbed dose tissueA ) during the time course T of the experiment must be:
0
(0( )
) tA tissue tissuetissue plasma
tis
T
sue
N Kp Vt e d
RtA C
Wλλ κ −⋅ ⋅ ⋅ ⋅ ⋅
= ⋅∫ (9)
Rearranging, one can derive an expression for Kp in terms of the absorbed dose and the plasma PK:
0
1
(0) ( )
tissue tissuetissue
tA tissue plasm
T
a
W AKp
RN V t eC dtλκ λ −
⋅=
⋅ ⋅ ⋅ ⋅ ⋅∫ (10)
If one makes the assumption that tissue density is approximately 1 g / cm3, eqn. (10) can be simplified yielding:
0
1
(0) ( )
tissuetissue
tA plasm
T
aN t e dt
AKp
R C λκ λ −=
⋅ ⋅ ⋅ ⋅∫ (11)
The PET derived tissueKp values are corrected for residual blood in the tissue:
( ) ( )
,,
, /
, ,
/
tissue uncorrectedtissue uncorrected
plasma
tissue tissue blood blood tissue blood
plasma
tissue bloodtissue corrected B P
tissue blood tissue blood
tissue corrected tissue uncorr
CKp
C
C V C V V V
C
V VKp R
V V V V
Kp Kp
=
⋅ + ⋅ +=
= ⋅ + ⋅+ +
= /blood tissue blood
ected B Ptissue blood tissue
V V VR
V V V
⎛ ⎞ +− ⋅ ⋅⎜ ⎟+⎝ ⎠
(12)
where volumes of tissues (Vtissue) and residual blood (Vblood) are obtained from (Shah and Betts, 2012) and RB/P, tel is
the blood to plasma ratio of telmisartan (Table 1).
To test the models against literature PK data, the volume of distribution at steady state (Vdss) can be
estimated from the derived Kp values as follows:
/SS P E E P tissueVd V V R V Kp= + ⋅ + ⋅∑ (13)
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where VP and VE are volumes of plasma and erythrocytes (Shah and Betts, 2012); RE/P is the erythrocyte/plasma
concentration ratio (Table 1). For comparison purpose, Kp values were also predicted using a standard in silico
method (Rodgers and Rowland, 2006).
In vitro clearance estimation using sandwich-cultured human hepatocytes (SCHH) assay
Materials. In VitroGro-HT (thawing), In VitroGro-CP (plating), and In VitroGro-HI (incubation)
hepatocyte media were purchased from Celsis In Vitro Technologies Inc. (IVT) (Baltimore, MD). Hanks’ balanced
salt solution (HBSS) was purchased from Invitrogen (Carlsbad, CA). BioCoat 24-well plates and MatrigelTM were
purchased from BD Biosciences (Bedford, MA). The BCA Protein Assay Kit was purchased from Pierce
Biotechnology (Rockford, IL). HPLC grade acetonitrile (ACN) and water were obtained from Burdick & Jackson
(Muskegon, MI) and Mallinckrodt Baker (Phillipsburg, NJ), respectively. Telmisartan and telmisartan acyl-β-D-
glucuronide were purchased from Sequoia Research Products (Pangbourne, UK) and Toronto Research Chemicals
Inc. (Ontario, Canada), respectively. All other chemicals were purchased from Sigma (St. Louis, MO).
Cryopreserved human hepatocyte lot 310 was purchased from BD Biosciences (Woburn, MA), and HU4241 was
purchased from CellzDirect (Pittsboro, NC).
Experimental procedure. Plateable cryopreserved hepatocytes (310 and HU4241) were thawed and plated
as described previously (Bi et al., 2006). Briefly, hepatocytes were thawed in a water bath at 37 ºC and placed on ice.
The cells were then poured into In VitroGro-HT medium at 37 ºC at a ratio of one vial/50 mL in a conical tube. The
cells were centrifuged at 50 × g for 3 minutes and resuspended at 0.75 × 106 cells/mL in In VitroGro-CP medium.
Cell viability was determined by trypan blue exclusion. On day 1, hepatocyte suspensions were plated in collagen-
coated 24-well plates at a density of 0.375 × 106 cells/well in a volume of 0.5 mL/well. After 18 to 24 hours of
incubation at 37ºC, cells were overlaid with ice-cold 0.25 mg/mL MatrigelTM in In VitroGro-HI medium at 0.5
mL/well. Cultures were maintained in In VitroGro-HI medium that was refreshed every 24 hours. On day 5 of
SCHH, the hepatocytes were first rinsed twice with Ca2+/Mg2+ containing or free (containing 1 mM EGTA for free)
HBSS buffer, and then pre-incubated for 10 minutes with Ca2+/Mg2+ containing HBSS, Ca2+/Mg2+ free HBSS
containing 1 mM EGTA, or Ca2+/Mg2+ containing HBSS buffer in the presence of 100 µM rifamycin SV. After
aspirating the pre-incubation buffer, 0.5 mL of incubation buffer containing substrate was added in the absence or
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presence of rifamycin SV. The uptake was terminated at a designated time (0.5, 1, 2, 5, 10, 15 and 20 minutes) by
adding 0.5 mL of ice cold Ca2+/Mg2+ containing HBSS buffer after removal of the incubation buffer. Cells were then
washed three times with 0.5 mL of ice cold Ca2+/Mg2+ containing HBSS buffer. The hepatocytes were lysed with
methanol containing the internal standard for liquid chromatography – tandem mass spectrometry (LC-MS/MS)
quantification.
LC-MS/MS analysis of substrates. LC-MS/MS analysis of telmisartan and telmisartan acyl-β-D-
glucuronide was analyzed on an API-4000 triple quadrupole mass spectrometer (Applied Biosystem, Foster City,
CA) with an atmospheric pressure electrospray ionization source (MDS SCIEX, Concord, Ontario, Canada) that is
connected to a SLC-20A LC system (Shimadzu, Kyoto, Japan) and HTC PAL autosampler (LEAP Technologies,
Carrboro, NC). Samples (10 µL) were injected onto a Kinetex C18 column (2.6 µm, 100 Å, 30×2.1 mm,
Phenomenex, Torrance, CA) and eluted by a mobile phase with initial conditions of 10% solvent B for 0.2 minutes,
followed by a linear gradient of 10% solvent B to 90% solvent B over 1 minute (solvent A: 100% water with 0.1%
formic acid; solvent B: 100% ACN with 0.1% formic acid) at a flow rate of 0.5 mL/min.
SCHH data analysis. The modeling approach used to analyze SCHH data was developed based on a
previously described method (Jones et al., 2012). Briefly, as illustrated in Figure 1, the model includes
compartments representing the media, cells, and bile in the experiment with compound distributing among them
through CLint, u, act, CLint, u, pass, CLint, u, bile, CLint, u, met, and CLint, u, bile, glu. By varying the assay conditions (+/−
rifamycin SV to inhibit active uptake, +/− Ca2+ to inhibit biliary efflux back into the cell media), the individual
active clearance rates can be derived. To simplify the analysis, the amount of glucuronidated telmisartan that is
either actively transported or passively permeated back into the media from cells is assumed to be negligible. This is
consistent with previous findings that only a very limited amount of glucuronide is detected in the blood (Stangier et
al., 2000a). Binding constants (KB) are used to model nonspecific binding to cells at time zero (Jones et al., 2012). In
the presence of Ca2+/Mg2+ (Condition A in Figure 1), the data were modeled as
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int, , int, , int, ,,, , , , , ,
int, , int, , int, , int,,, , ,
u pass u act u passtel mediatel media u tel media tel cell u tel cell
media cell
u pass u act u pass utel celltel media u tel media
media
CL CL CLdXX f X f
dt V V
CL CL CL CLdXX f
dt V
+= − ⋅ ⋅ + ⋅ ⋅
+ += ⋅ ⋅ − , int, ,
, , ,
, int, ,, , ,
, int, , ,int, ,, , , , , ,
,
bile u mettel cell u tel cell
cell
tel bile u biletel cell u tel cell
cell
glu cell u bile gluu mettel cell u tel cell glu cell u glu cell
cell cell
glu bil
CLX f
V
dX CLX f
dt V
dX CLCLX f X f
dt V V
dX
+⋅ ⋅
= ⋅ ⋅
= ⋅ ⋅ − ⋅ ⋅
int, , ,, , ,
e u bile gluglu cell u tel cell
cell
CLX f
dt V= ⋅ ⋅
(14)
where Xtel, medial, Xtel, cell, and Xtel, bile are the amounts of telmisartan in media, cells, and bile, in pmoles/mg protein.
The observed telmisartan data with calcium, with or without rifamycin SV, are the sum of Xtel, cell and Xtel, bile, while
without calcium the data are just the amount in the cells, Xtel, cell. Xglu, cell and Xglu, bile are the amounts of telmisartan
glucuronide in cells and bile, in pmoles/mg protein. The observed glucuronide data with calcium, with or without
rifamycin SV, are the sum of Xglu, cell and Xglu, bile, while without calcium the data are just the amount in the cells, Xglu,
cell. fu, tel, cell, fu, tel, media, and fu, glu, cell are the unbound fraction of telmisartan in cells, telmisartan in media, and
glucuronide in cells, respectively, where fu, tel, media was assumed to be 1 due to the absence of protein in the media.
Vmedia and Vcell are the volume of media and cells. When rifamycin SV was present to inhibit active uptake clearance
(Condition B in Figure 1), an inhibited metabolic clearance (Finhibition × CLint, u, met) was used to represent potential
inhibition of glucuronidation by rifamycin SV observed in the current study and a previous study (Gan et al., 2010):
int, , int, ,,, , , , , ,
int, , int, , int, , int,,, , ,
u pass u passtel mediatel media u tel media tel cell u tel cell
media cell
u pass u pass u bile inhibitiontel celltel media u tel media
media
CL CLdXX f X f
dt V V
CL CL CL F CLdXX f
dt V
= − ⋅ ⋅ + ⋅ ⋅
+ + ⋅= ⋅ ⋅ − ,
, , ,
, int, ,, , ,
, int, , ,int, ,, , , , , ,
, int, ,
u mettel cell u tel cell
cell
tel bile u biletel cell u tel cell
cell
glu cell u bile gluu mettel cell u tel cell glu cell u glu cell
cell cell
glu bile u
X fV
dX CLX f
dt V
dX CLCLX f X f
dt V V
dX CL
dt
⋅ ⋅
= ⋅ ⋅
= ⋅ ⋅ − ⋅ ⋅
= ,, , ,
bile gluglu cell u tel cell
cell
X fV
⋅ ⋅
(15)
With Ca2+/Mg2+ free media (Condition C in Figure 1), the data were modeled as
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int, , int, , int, , int, ,,, , , , , ,
int, , int, , int,,, , ,
u pass u act u pass u biletel mediatel media u tel media tel cell u tel cell
media cell
u pass u act utel celltel media u tel media
media
CL CL CL CLdXX f X f
dt V V
CL CL CLdXX f
dt V
+ += − ⋅ ⋅ + ⋅ ⋅
+= ⋅ ⋅ − , int, , int, ,
, , ,
, int, , ,int, ,, , , , , ,
pass u bile u mettel cell u tel cell
cell
glu cell u bile gluu mettel cell u tel cell glu cell u glu cell
cell cell
CL CLX f
V
dX CLCLX f X f
dt V V
+ +⋅ ⋅
= ⋅ ⋅ − ⋅ ⋅
(16)
The model was implemented in MATLAB (version 7.11, 2010b, Mathworks, Natick, MA). With the model and
observed amounts in SCHH, CLs were estimated by simultaneously fitting telmisartan and glucuronide data under
different conditions using pattern search, a global optimization method (Global Optimization Toolbox TM, version
3.1, Mathworks, Natick, MA). Mean values of the parameters are estimated by simultaneously fitting all data. The
coefficients of variation (CV) are calculated using values estimated in individual fitting of each replicate.
Modeling and simulations of plasma PK during elimination phases
In vivo Model
The previously published PBPK model can adequately describe the human plasma elimination phase
profiles for four compounds with metabolic clearance (i.e., bosentan, fluvastatin, cerivastatin, and repaglinide) (Li et
al., 2014). The HLM CLint, u, met values for these compounds are 22, 29, 76, and 128 μL/min/mg, respectively (Jones
et al., 2012), which are smaller than the value for telmisartan (395 µL/min/mg microsomal protein with BSA (Gill et
al., 2012), 1212 µL/min/mg microsomal protein with BSA (this study)). However, their mean half-lives (3.4, 1.78, 1,
and 1.2 hours, respectively) are much shorter than that of telmisartan (20 hours) (Lindahl et al., 1996; Weber et al.,
1996; Muck et al., 1997; Stangier et al., 2000b; Niemi et al., 2005). To address the inconsistency between in vitro
and in vivo observations, we hypothesize that telmisartan glucuronide is converted by intestinal microflora into
telmisartan, and telmisartan experiences enterohepatic recirculation. Additional terms for the deconjugation of the
telmisartan glucuronide in the GI tract and enterohepatic recirculation of telmisartan were incorporated into the
previously published PBPK model (Figure 2), accounting for the slow elimination phase of telmisartan (time course
after 2.5 hours):
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( ),
, , , ,( )lumen tel tel
liver bile bile tel bile glu lumen tel
glu
a e
dX MWQ C C X
dt MWk k= ⋅ + ⋅ − + ⋅ (17)
where Xlumen, tel is the amount of telmisartan in GI lumen compartment. ka is the absorption rate, and ke is the fecal
excretion rate. The sum of ka and ke is calculated as ka divided by Fa, where Fa is the fractional absorption of active
drug. In this model, we assume that there is no glucuronidation in the GI tract, so the fraction that escapes from
metabolism in the GI tract is assumed to be 1. We assumed conversion from telmisartan glucuronide to telmisartan
in this compartment is effectively instantaneous, considering almost no glucuronide was observed in feces (Stangier
et al., 2000a) and the very fast clearance telmisartan glucuronide in a rat study (180 mL/min/kg, compared with 15.6
mL/min/kg for the telmisartan) (Ebner et al., 1999). Gallbladder emptying after meals was not included in the
modeling scheme because the feeding schedule was not available. The equation for the gut compartment in the
generic PBPK model was modified for recirculation:
, / ,, , ,
,
( )gut tel B P telgut gut a tel gut tel a lumen tel
gut tel
dC RV Q C C k X
dt Kp= − + (18)
where Vgut is the volume of gut tissue, Qgut is the blood flow, Ca, tel is the telmisartan concentration in arterial blood,
Cgut, tel is the telmisartan concentration in gut compartment, and Kpgut, tel is the tissue to plasma partition coefficient of
telmisartan.
Local sensitivity analysis
Local sensitivity analyses were conducted as described before using a numerical approach to approximate
the partial derivatives with respect to each parameter (Jones et al., 2012). Briefly, each drug specific parameter (i.e.
Kp, unbound fraction in plasma (fu, p), blood/plasma ratio (RB/P), fu, liver, fu, liver, glu, CLact, CLpass, CLmet, CLbile, CLbile, glu,
passive clearance in adipose and muscle, ka and Fa) was raised by 1% with respect to its value in the above
simulation and the values of the plasma concentration, AUCplasma, and the amount of telmisartan and glucuronide in
the liver were obtained throughout the time course. Sensitivity coefficients were normalized to both the parameter
value and the model output value, so when the output changes by 1% for a 1% change in the input parameters, the
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sensitivity coefficient is 1 or −1. Only parameters with normalized sensitivity coefficients greater than 0.3 or less
than −0.3 are reported.
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Results
Predicted and experimentally determined Kps.
The Kp values calculated from human PET data (Table 2) can be compared with those predicted from a
standard in silico method. Since the absorbed dose in adipose was not available from the published PET study, we
used the Rodger and Rowland adipose Kp for all the simulations. The PET bone Kp was calculated from the tissue
weight-weighted average of the red marrow and osteogenic cells PET data. The PET gut Kp was calculated from
the tissue weight-weighted average of the large and small intestine wall PET data. Lastly a “rest of body” Kp was
calculated from the tissue weight-weighted average of PET data in pancreas, thymus, and other tissues.
Estimated Vdss using Kp and observed plasma concentrations are given in Table 2. In comparison to the in
silico approach, using the PET Kp values leads to a Vdss that is closer to clinical values, though both sets of Kp
values result in Vdss less than the reported clinical value. This may be due to enterohepatic recirculation substantially
influencing the plasma concentrations post 2.5 hours as analyzed below (Miura et al., 2009; Ieiri et al., 2011).
In vitro SCHH Assay.
The in vitro SCHH data and the model fit are shown in Figure 3. This assay was performed with two
donors (HU4241 and BD310), but telmisartan glucuronide was not monitored in donor BD310. For this reason
CLint,u,met (3.73 μL/min/106 cells with CV of 24%) was fixed at the value estimated from donor HU4241. This value
is close to a previously published value (4.3 μL/min/106 cells) estimated from cryopreserved human hepatocytes
(donor HU4122) (Menochet et al., 2012). The estimates of the in vitro SCHH CLint, u, act, CLint, u, pass, and CLint, u, bile
are shown in Table 1 as the average value from the two lots.
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In vivo PK prediction during infusion and distribution phases
Prediction using in silico and PET Kp
With the in silico Kp values, the model overpredicts the plasma concentration before 1 hour and
underpredicts it after 1 hour for both dosing regimens (Figure 4). Mean squared error (MSE) between data and
predictions with Rodger and Rowland Kp is 0.199. The predictions for both dosing regimens were greatly improved
by using the PET Kp values (MSE = 0.048), although the model still overpredicts the plasma concentration reported
for the 40 mg 30 min infusion dosing. The performance of PET and in silico Kp values were not compared by
simulating plasma concentration after 2.5 hours, because the plasma pharmacokinetics is no longer sensitive to Kp
values as shown below.
Use of the liver PET data for validation of the PBPK model
After a micro dose, the combined total amount of telmisartan and telmisartan glucuronide in the liver
observed in the PET study (Shimizu et al., 2012) and predicted by the PBPK model are shown in Figure 5. The total
amount of telmisartan and telmisartan glucuronide in the liver was overpredicted. The prediction also reached the
maximum amount (tmax = 1.9 hour) later than the data (tmax = 0.8 hour). Given that the published SFbile was estimated
using compounds with very different structures from telmisartan glucuronide, we fixed SFact, SFpass, SFmet, SFbile for
telmisartan at previously published values (e.g. 55, 0.092, 0.11, and 0.019), and re-estimated the SFbile (0.254) for
telmisartan glucuronide by fitting the model to the data (Figure 5A). The result indicates that CLbile may be
underpredicted when using the previously published SFbile. Changing the value of SFbile for telmisartan glucuronide
did not affect the predicted time-concentration profiles of telmisartan in plasma. Using the fitted SFbile, the predicted
total liver concentration is largely glucuronide except at the earliest times (Figure 5B).
In vivo PK prediction during elimination phase
Prediction with enterohepatic recirculation
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The telmisartan PBPK model with the global optimal SFs substantially underpredicts plasma concentration
after 2.5 hours, which suggested that a recirculation model may be needed to predict the slow elimination of
telmisartan. Although including enterohepatic recirculation did not the change model prediction during the infusion
and distribution phases after IV infusion dosing or during the adsorption phase after oral dosing, the model
predictions were greatly improved during the elimination phase (i.e. after 2.5 hours) for both dosing regimens
(Figure 6). Adding enterohepatic recirculation has an impact on the amount of telmisartan and telmisartan
glucuronide in the liver, hence the value of SFbile, glu (0.094) was recalibrated by fitting the total amount of
telmisartan and telmisartan glucuronide in the liver observed in the PET study (Shimizu et al., 2012). Values of ka
(0.68 h−1) and Fa (0.72) were calibrated together with SFbile, glu by simultaneously fitting human plasma
concentration time courses and observed PET liver data, however they may also be estimated from published rat
data (ka = 0.775 h−1 and Fa = 0.61) (Wang et al., 2009; Furukawa et al., 2012). Plasma data after both IV and oral
dosing were digitized from the previous publication (Stangier et al., 2000a) up to 12 hours; large errors may be
introduced by digitizing small values from plots in normal space potentially impacting values after 2.5 hours.
Local sensitivity analysis
The sensitivities of plasma concentration profiles, AUCplasma, and the amount of parent and glucuronide in
the liver were evaluated for all compound specific parameters. A few of the parameters had normalized sensitivity
coefficients greater than 0.3 or less than −0.3 (Figure 7). The plasma concentration is sensitive to Kpmuscle, fu, p, RB/P,
fu, liver, glu, CLact, CLbile, glu, and Fa. AUCplasma is sensitive to fu, p, RB/P, CLact, and Fa. The total amount of telmisartan
and telmisartan glucuronide in the liver is sensitive to Kpgut, RB/P, fu, liver, glu, CLbile, glu, and Fa.
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Discussion
While predicting PK of transporter substrates remains a challenge, several groups have proposed PBPK
models to improve prediction by incorporating active uptake and/or biliary clearance estimated from in vitro data
(Poirier et al., 2009; Watanabe et al., 2009; Jones et al., 2012; Jamei et al., 2014). With empirical SFs, these models
provide reasonable simulations of plasma concentrations for liver OATP substrates. Here we applied our published
modeling strategy for predicating the human PK of OATP substrates to a new compound.
One purpose of this study is to identify potential weak spots in the modeling approach, such as whether our
ability to predict PK is confounded by inaccurate estimates of Kps and limitations of the model structure. Assessing
Kp values is challenging because of the lack of methods to acquire data in humans. Kp values in PBPK models
available in preclinical development, are usually estimated using in silico methods based on tissue composition
(Poirier et al., 2009; Watanabe et al., 2009; Jones et al., 2012). Early in silico methods focused on water-lipid
partitioning in tissues (Poulin and Theil, 2000). Later methods incorporate drug interactions with extracellular
proteins (Rodgers and Rowland, 2006), leading to the improved prediction accuracy for rat Kp and volume of
distribution (Graham et al., 2012). For acids, these methods may still mispredict Kp because they, ignore other
possible mechanisms including specific or nonspecific intracellular binding to protein or compound exclusion due to
membrane potential. Kp values have also been experimentally determined using rodents or predicted using an
empirical regression model based on volume of distribution and/or other physiological properties of the compound
observed in rodents (Yun and Edginton, 2013). However, these methods rely on the rodent data and may result in
misprediction in human due to potential species differences.
In this study, a PET-based Kp calculation method is proposed to test the PBPK model performance when it
is not confounded by misestimation of non-liver tissue distribution, and to validate or calibrate in silico Kp
prediction methods. The comparisons between in silico Kps and PET Kps were done by predicting human IV data
without fitting, using clearance estimated from in vitro data and SFs estimated from other OATP substrates (Li et al.,
2014). In silico Kps led to overpredicted plasma concentrations during the infusion phase, presumably due
to underpredicted distribution to tissues. Plasma concentration was underpredicted in the elimination phase possibly
because overpredicted plasma concentrations in the infusion phase led to excessive clearance of plasma drug. Kp
predicted from another in silico method (Poulin and Theil, 2000), or estimated from experimental rat tissue data
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(U.S. Food and Drug Administration, 1998), were also tested, but led to similar misprediction in human PK (data not
shown). Only the Kp values derived from the PET data were associated with reasonable predictions. It is worth
noting that the PET Kp is essentially calculated as the ratio of tissue and plasma AUCs (Equations 8 and 11), a
method previously reported (Gallo et al., 1987). We used AUC0-1.5 h (the duration of the PET study) to approximate
equilibrium AUC, because the two simulated AUC values are close (data not shown). The predicted Kp values
largely reflect nonspecific binding in the tissues, but the values derived from the PET imaging reflect combinations
of nonspecific binding, passive permeability, and efflux and influx transport or clearance processes. Tissues like
muscle may have limited active uptake and largely would be expected to reflect signal from the parent compound
rather than glucuronide, so the PET-derived Kp more accurately estimates this than current in silico methods do. As
noted in the sensitivity analysis, the muscle Kp is an important determinant of the volume of distribution reflected in
the plasma concentrations, so the 5-fold higher value obtained from the PET imaging impacts the plasma predictions.
By contrast, the much higher value for the PET-derived Kp for liver likely reflects a combination of influx and
efflux transport and metabolism (see Figure 5B). Similarly, the observed radioactivity in the PET study in kidney
may reflect some active uptake and in the small intestine, release of bile, impacting those Kps. Thus, the PET-
derived Kp values provide the best fit to the data through better estimates of the Kp or through compensating for
activities that may not be in the model structure, e.g., active uptake in kidney for parent or glucuronide.
Although the model can accurately predict the 20 min infusion 40 mg human IV data, it still overpredicts
30 min infusion 40 mg human IV data reflecting inconsistencies between these two studies. The discrepancy
between the predictions and data may be due to experimental factors including differences in OATP or UGT
polymorphic forms in the study participants (Ieiri et al., 2011; Yamada et al., 2011) versus the forms in the
hepatocytes used in vitro, as well as culturing or other factors in the in vitro studies or analytical differences in the in
vivo studies.
To account for the slow rate of telmisartan loss during the elimination phase despite the high metabolic
clearance predicted from in vitro studies, deconjugation of glucuronide and enterohepatic circulation of parent were
added into the generic model. Contradictory information about telmisartan enterohepatic recirculation has been
reported. Stangier et al. claimed that there was no evidence of enterohepatic circulation (Stangier et al., 2000a).
However, direct evidence was observed in rats (U.S. Food and Drug Administration, 1998), and two groups claimed
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that double peaks observed in human plasma concentration versus time profiles suggested recirculation occurring
and contributing to the long elimination half-life (Miura et al., 2009; Ieiri et al., 2011). Telmisartan has an apparent
volume of distribution 30 times higher than that of most other acidic compounds (around 7 L/kg versus 0.22 L/kg as
the median value of 159 acidic compounds (Obach et al., 2008) ). The high apparent volume of distribution and low
clearance are characteristics of compounds with efficient and dominant enterohepatic recirculation (Roberts et al.,
2002). However, efficient recirculation requires efficient biliary excretion (Roberts et al., 2002), which is not
observed for telmisartan in SCHH in this study. On the contrary, a high biliary excretion rate is observed for
telmisartan glucuronide in SCHH, which is consistent with previous hypothesis that in man, as in other species,
telmisartan is excreted in bile as the glucuronide (Wienen et al., 2000). Only limited glucuronide has been detected
in plasma and feces, which is believed to be due to very efficient cleavage of glucuronide in the intestine by
bacterial glucuronidases (Stangier et al., 2000a; Wienen et al., 2000). With all this information, it appears likely that
telmisartan enterohepatic recirculation is achieved by efficient biliary excretion and deconjugation of glucuronide.
Such recirculation has been reported for other compounds with prolonged elimination and their conjugates, the
topoisomerase I inhibitor SN-38 and its glucuronide (Kuhn, 1998) and 2-fluoro-β-alanine and its bile acid
conjugates (Zhang et al., 1993). With ka and Fa estimated from either rat or human oral data, the enterohepatic
circulation of parent compound derived from deconjugation of glucuronide enables the model to accurately simulate
the plasma concentration-time course from 0 to 12 hours after either IV or oral dosing. To predict intestinal
deconjugation of glucuronide and resultant enterohepatic recirculation before a clinical study, assays that can
quantify the glucuronide cleavage rate by intestinal bacterial glucuronidases are required in future. The empirical
scaling factor for biliary clearance of glucuronide calibrated by PET data in this study was 5 to 13 times larger than
our published biliary scaling factor. This may be due to the fact that the molecular structure, solubility and other
properties of the glucuronide are very different from the OATP substrates from which the empirical scaling factor
was estimated.
In the sensitivity analysis, plasma concentration, AUCplasma, and liver amount are increasingly sensitive to
Fa as time increases, probably driven by the enterohepatic recirculation. The plasma concentration is sensitive to
Kpmuscle until about 2.5 hours, which indicates Kp values have a major impact during the distribution phase but not
in the elimination phase. The total amount of telmisartan and its glucuronide in the liver is more sensitive to CLact
(the max value of the normalized sensitivity coefficient is 0.22, hence this parameter is not shown in Figure 7) than
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Fa, fu, liver, glu, and CLbile, glu in the distribution phase, however less sensitive to CLact than the other three parameters
during the elimination phase. These results indicate that predictions have different sensitivity to parameters between
the distribution and elimination phases, supporting our two-step modeling scheme.
In summary, a PBPK model of telmisartan and telmisartan glucuronide was developed. Parameterized with
appropriate Kp values, the PBPK model was able to predict the early intravenous plasma concentration of
telmisartan without fitting. A prediction of the liver amount of telmisartan and telmisartan glucuronide was made
and calibrated with PET data. Enterohepatic circulation was proposed and tested using the model to explain the flat
and extended elimination phase for telmisartan. This study demonstrated usefulness of the previously proposed
PBPK modeling approach for IV PK prediction, and identified additional factors that should be considered in
predictions on future OATP substrates.
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Authorship Contributions
Participated in research design: Li, Ghosh, Maurer, and Barton.
Conducted experiments: Kimito.
Performed data analysis: Li and Ghosh.
Wrote or contributed to the writing of the manuscript: Li, Ghosh, Maurer, Kimito, and Barton.
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Figure Legends
Fig. 1. Schematic diagram of the in vitro model. Condition A: Ca2+/Mg2+ containing media, where passive
diffusion, active uptake, and metabolic clearances are active. Compounds cleared by biliary clearance are stored in
bile canaliculi (Equation 14). Condition B: 0.1 mM rifamycin SV, where active uptake clearance is fully inhibited;
and metabolic clearance is partially inhibited (Equation 15). Condition C: Ca2+/Mg2+ free, 1 mM EGTA, where
compounds cleared by biliary clearance are released into media from the bile canaliculi (Equation 16).
Fig. 2. Schematic diagram of the enterohepatic circulation model. Black arrows indicate transport of telmisartan;
while white arrows indicate transport of telmisartan glucuronide; red arrows indicate conversion between the two
compounds; and purple arrow indicates fecal excretion.
Fig. 3. Observed and predicted SCHH data. Circles represent the observed data, which were mean values of two
replicates. Solid lines represent simulations with the fitted parameter values. Data from lot HU4241 (A - F,
telmisartan and glucuronide measured) and BD310 (G - I, only telmisartan measured) were fitted individually.
Fig. 4. Predicted and observed human intravenous plasma concentration-time profile of telmisartan with
different Kp values following 40 mg (A) 30 min and (B) 20 min IV infusion dosing. Black circles represent
observed data (Stangier et al., 2000a,b), red solid lines represent predictions using PET derived Kp values, and
black dashed lines represent predictions using Rodgers and Rowland Kp values.
Fig. 5. Observed and simulated amount of telmisartan and telmisartan glucuronide in the liver. (A) Summed
total amount of telmisartan and telmisartan glucuronide in the liver per dosed amount of telmisartan. Circles
represent the observations in the PET study (Shimizu et al., 2012), black dashed line represents simulation when
SFbile for telmisartan glucuronide is set to previously published SFbile (Li et al., 2014), and red solid line represents
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simulation with fitted SFbile for telmisartan glucuronide. (B) Simulated amount of telmisartan (green dashed line)
and amount of telmisartan glucuronide (blue solid line) in the liver with fitted SFbile for telmisartan glucuronide.
Fig. 6. Simulations with and without enterohepatic recirculation following (A) IV infusion or (B) oral dosing.
Circles represent the observations, lines represent simulations with (green solid line) and without (red dashed line)
enterohepatic recirculation.
Fig. 7. Time-dependent local sensitivity of compound specific parameters on (A) plasma concentration of
telmisartan, (B) AUCplasma of telmisartan, and (C) amount of telmisartan and glucuronide in the liver. The
plots only show the parameters that had normalized sensitivity coefficients greater than 0.3 or less than −0.3.
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Tables
Table 1. Summary of Input Parameters for Telmisartan PBPK Model
Parameters Values (CV) Sources
logD7.4 2.5 In-house data
pKa 3.8 In-house data
Blood/plasma ratio (RB/P) 0.78 (Stangier et al., 2000a)
Erythrocyte/plasma ratio (RE/P) 0.5 (Stangier et al., 2000a)
Unbound fraction in plasma (fu, p) 0.005 (Stangier et al., 2000b)
Unbound fraction in human liver
tissue (fu, liver) 0.013 (16%) In-house data
CLu, int, met (μL/min/mg microsomal
protein) 1210 (32%) In-house HLM with BSA data
CLu, int, act (μL/min/106 cells) 53 (53%) This study
CLu, int, pass (μL/min/106 cells) 72 (43%) This study
CLu, int, bile (μL/min/106 cells) 3 (84%) This study
Unbound fraction of glucuronide in
human liver tissue (fu, liver, glu) 0.0073 (15%) In-house data
CLu, int, bile, glu (μL/min/106 cells) 74 (16%) This study
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Table 2. Predicted partition coefficients and volume of distribution1
Tissues Rodger and Rowland Kp PET Kp
adipose 0.35 (0.35)2
bone 0.13 0.47
brain 0.11 0.25
gut 0.22 1.67
heart 0.18 1.54
kidney 0.16 4.40
lung 0.25 1.07
muscle 0.08 0.40
skin 0.37 0.26
spleen 0.11 0.41
testes 0.08 0.26
rest of body 0.08 0.53
Liver3 0.12 11.37
Vdss (L/kg) 0.20 0.67
Clinical Vdss (L/kg)4 8.9 (Stangier et al., 2000a)
6.6 to 7.3 (Stangier et al., 2000b)
1. The body weight is assumed to be 70 kg for all Vdss values.
2. Parentheses indicate the PET Kp is not available for adipose, hence Rodger and Rowland Kp is used for
plasma PK or Vdss prediction.
3. The Kp of liver was not used in PBPK modeling, but only to estimate Vdss here.
4. Clinical Vdss are published values.
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Table 3 AUC1 estimated by nonparametric analysis and PBPK model
Study type AUCplasma, 0 – 2.5 hrs
(h·μg/L)
AUCplasma, 0 – 12 hrs
(h·μg/L)
Nonparametric analysis1
IV (Stangier et al., 2000b) 449 558
IV (Stangier et al., 2000a) 664 852
PBPK model2
Rowland and Rodger Kp3 731 -
PET Kp3 709 -
Without enterohepatic
recirculation4 - 742
With enterohepatic
recirculation4 - 946
1. All studies were performed with 40 mg telmisartan IV infusion dosing;
2. AUC were estimated using trapezoid integration;
3. Calculated without enterohepatic recirculation;
4. Calculated with PET Kp.
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Figure 2
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Figure 3
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Figure 6
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Figure 7(A)
(B) (C)
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