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Physiological based pharmacokinetic model
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1
Applications of Physiologically Based Pharmacokinetic Modeling
A Course on Physiologically Based Pharmacokinetic (PBPK) Modeling and its Applications
March 28th - April 1st, 2011
Center for Human Health AssessmentThe Hamner Institutes for Health Sciences
‐5
‐4
‐3
‐2
‐1
0
1
2
3
0 50 100 150
Ln Conc (uM)
Time (min)
Hepatic Clearance
Copyright 2011 by The Hamner Institutes for Health Sciences. May not be reproduced without permission
Plasma Protein Binding
Estimated Renal Clearance
Reverse Dosimetry
ExposureTissue Dose
Dose toCritical Biological Units
Inhalation
Exposure Effect
Organ
Biologically Based Dose-Response Modeling
Pharmacokinetics
Inhalation
Ingestion
Dermal
Cancer
OtherToxicity
Pharmacodynamics
Tissue
Macromolecules
Cells PBPK BBDR
2
Role of PBPK Modeling
The purpose of a PBPK model is to define the
relationship between an external measure of
(administered) exposure/dose and an internal
measure of (biologically effective) exposure/dose in ( g y ) p /
both the experimental animal and the human
Physiologically Based Pharmacokinetic ModelCI CXQP
Lung
QC
CA
QC
Liver
Fat
QL
QF
QRCVR
CVF
CVL
Rapidly Perfused(brain, kidneys, etc.)
Slowly Perfused(muscle, bone, etc.)
QSCVS
3
Physiologically Based Pharmacokinetic ModelBasis of Description
• Model structure– anatomy
QCPlasma
iv dose
– metabolism / transport processes• Model parameters
– physiological data (organ weights, blood flows)– biochemical data (partition coefficients,
metabolism)• Model equations
– system of mass-balance differential equations– one equation for each tissue– connected by equation for blood
QKidKidney
QRapRapidly Perfused
QSknSkin
QSlw
LLMLLLLALL PCKPCVPCCQdtdA ///// max
– connected by equation for blood– E.g., metabolizing tissue (liver):
Slowly Perfused
QLiv
Liver
VMax, KM, KMI
oral dose
• Chemical risk assessment
Applications of PBPK Modeling
• Chemical risk assessment
• Drug development research and evaluation
• Interpretation of human biomonitoring data
• In vitro to in vivo extrapolationIn vitro to in vivo extrapolation
• Evaluation of early-life susceptibility
4
• Assess the biological determinants that govern the
How are PBPK Models Used in Human Health Risk Assessment?
Assess the biological determinants that govern the kinetic behavior
• Calculate tissue dose metrics for risk assessment calculations
• Support extrapolation across dose-routes, between species, from high to low dose levels, and over various dosing scenarios
• Assess mechanisms of response (PD) based on their relationship with dose metrics for target tissues
Use of PBPK Modeling in Human Health Risk Assessment by
EPA and Other Agencies
Methylene Chloride (EPA OSHA ATSDR Health Canada)Methylene Chloride (EPA, OSHA, ATSDR, Health Canada)
2-Butoxy Ethanol (EPA, Health Canada)
Vinyl Chloride (EPA)
Chloroform (Health Canada)
Perchlorate (EPA)
Acrylamide (EPA)
Trichloroethylene (EPA)
Perchloroethylene (EPA)
5
Example of the Use of a PBPK Model to Improve Dosimetry in a Risk Assessment:
Vinyl Chloride
• Cross-species correspondence of a rare tumor type:liver angiosarcoma in mouse, rat, and human
• Carcinogenic at doses with no evidence of enhanced cellproliferation, receptor interaction, or cytotoxicity
Mode of Action Information
• Mutagenic; metabolized to reactive intermediatesassociated with DNA adduct formation and mistranscription
• Expect linear dose-response below the experimental range
Vinyl ChlorideVinyl ChlorideVinyl Chloride
Metabolism of Vinyl Chloride
ChloroethyleneEpoxide
P450
Epoxide Hydrolase
DNA AdductsCO2
H2O
GSH
ChloroethyleneEpoxide
ChloroethyleneEpoxide
P450
Epoxide Hydrolase
DNA AdductsDNA AdductsCO2CO2
H2O
GSH
Chloroacetaldehyde Tissue AdductsGlutathioneConjugates
GSHChloroacetaldehydeChloroacetaldehyde Tissue AdductsTissue Adducts
GlutathioneConjugatesGlutathioneConjugates
GSH
Dose metric: concentration (AUC) of chloroethylene epoxide
6
QPQC
QF
Lungs
Fat
CI CX
CVF
CA
QPQC
QF
LungsLungs
FatFat
CI CX
CVF
CA
PBPK Model for Vinyl Chloride
QS
QR
QL
Rapidly Perfused Tissues
Slowly Perfused Tissues
Liver
CVR
CVS
CVL
CA
CA
VMAX2KM2
VMAX1KM1
CAKZER
KA
QS
QR
QL
Rapidly Perfused TissuesRapidly Perfused Tissues
Slowly Perfused TissuesSlowly Perfused Tissues
LiverLiver
CVR
CVS
CVL
CA
CA
VMAX2KM2
VMAX1KM1
CAKZER
KA
Reactive MetabolitesCO2 Glutathione Conjugate
Tissue/DNA Adducts
KCO2 KGSMKM2KM1
KFEE
GSH
KGSM
KS KO
KA
KB
Reactive MetabolitesReactive MetabolitesCO2CO2 Glutathione ConjugateGlutathione Conjugate
Tissue/DNA AdductsTissue/DNA Adducts
KCO2 KGSMKM2KM1
KFEE
GSHGSH
KGSM
KS KO
KA
KB
Dose metric: production of reactive metabolites per gram liver
(Clewell et al. 2001)
Model Parameterization
Physiological Parameters (from literature) i l bl d fl– tissue volumes, blood flows
– alveolar ventilation, cardiac output
Partition coefficients (measured in vitro)– Rodent: blood:air and tissue:air– Human: blood:air
Metabolism (estimated by fitting in vivo data)– Rodent: closed chamber gas uptake, disposition studies
H l d h b t k– Human: closed chamber gas uptake
7
10000
Estimation of Metabolism ParametersGas Uptake Studies in Male F344 Rats
100
1000
Cha
mbe
r C
once
ntra
tion
(ppm
)
1
10
0 1 2 3 4 5 6
Hours
C
250 ppm550 ppm1250 ppm3200 ppm
8000
10000
Estimation of Metabolism ParametersRadiolabel Studies in Male Sprague-Dawley Rats
4000
6000
8000
Tot
al A
mou
nt M
etab
oliz
ed (
mg)
0
2000
0.1 1 10 100 1000 10000
Concentration (ppm)
T
8
10
KM1=0.1
KM1=1.0
Estimation of Metabolism ParametersHuman Inhalation Study – Subject A
1
Cha
mbe
r C
once
ntra
tion
(ppm
)
0.1
0 0.1 0.2 0.3 0.4 0.5
Hours
10
KM1=0.1
KM1=1 0
Estimation of Metabolism ParametersHuman Inhalation Study – Subject B
1
Cha
mbe
r C
once
ntra
tion
(ppm
)
KM1=1.0
0.1
0 0.1 0.2 0.3 0.4 0.5
Hours
C
9
Human risk estimates (per million) for lifetime exposure
to 1 ppb vinyl chloride in air based on the incidence
Cross-Species and Cross-Route Correspondence Using PBPK Dose Metric
of liver angiosarcoma in animal bioassays
Animal Bioassay Study 95% UCL Risk / million / ppb
Males Females
Maltoni - Mouse Inhalation 1.52 3.27
Maltoni - Rat Inhalation 5.17 2.24
Feron - Rat Diet 3.05 1.10
Maltoni - Rat Gavage 8.68 15.70
Comparison of Cancer Risk Estimates for Vinyl Chloride
Basis Inhalation Drinking Water
Old EPA -- Animal(mg/kg/day -- BSA)
PBPK -- Animal
(1 ug/m3)
84.0 x 10-6
2.7 x 10-6
(1 ug/L)
54.0 x 10-6
1.1 x 10-6
PBPK -- Human (Epidemiology)
1.7 x 10-6
10
Applications of PBPK Models in Drug Development Research and Evaluation
• Integrate information from different studies– Different routes of exposure– Different species– Different dosing regimens
• Provide a validated platform for predictive simulation of alternative dosing methods drug-drug interactions (DDI)
• Improve understanding of PD by relating effect to dose at target tissue or binding to target protein (PBPK/PD)
• Support more accurate estimation of equivalent human dosing to achieve same dose to target protein as in test animals g p
• Predict fetal exposure and lactation transfer
• Estimate variability of PK across special populations– Obese, Elderly, Infants, Diseases – Polymorphisms
Use of PBPK Modeling to Optimize the Dosage Regimen of
an Antiparasitic Prodrug
Zhixia (Grace) Yan
Division of Pharmacotherapy and Experimental TherapeuticsUNC Eshelman School of Pharmacy
11
• Prodrug X demonstrated reversible hepatotoxicityin humans
• Prodrug X is rapidly metabolized to the active metabolite Y in the livermetabolite, Y, in the liver
• The active metabolite, Y accumulated significantly in the liver
C ld th t i it h b id d Could the toxicity have been avoided using a more rational dosage regimen?
Dosage Optimization Strategy
• Characterize the hepatobiliary disposition of pafuramidine and furamidinepafuramidine and furamidine.
• Develop and validate a whole-body physiologically-based pharmacokinetic (PBPK) model for pafuramidine and furamidine in rats.
• Develop a whole-body PBPK model for f idi d f idi i hpafuramidine and furamidine in humans.
• Optimize dosage regimen based on the human PBPK model.
12
1
PBPK Predicted Prodrug X/Active metabolite YDisposition in Human Plasma
lasm
a 0.1
1X
Y
0 001
0.01
0.1
Co
nce
ntr
atio
n in
P(μ
M)
0.001
0.01
0 6 12 18 24
0.001
0 48 96 144 192 240
Terminal t1/2 (h) Observed Predicted
X 11 19
Y 14 64 (2.5 d)
Time (h)
3x
An Optimized Dosage Regimen for Efficacy and Safety
10001000
tion
100 mg X twice daily40 mg Y once daily
LiverAUC0 14d ↓ 5x
0.1
1
10
100
0.1
1
10
100
dine
Con
cent
rat
(μM
)
LiverAUC0-14d ↓ 5x
NOAEL
0.001
0.01
0 2 4 6 8 10 12 140.001
0.01
0 2 4 6 8 10 12 14
Time (d)
Fura
mid
Ceff,min
Plasma
13
Application of PBPK Modeling for the Interpretation of Human Biomonitoring Data
Chemical concentrations Chemical concentrations
Margin of safety
Chemical concentrations in human blood from biomonitoring studies
Chemical concentrations in animal blood in
toxicity studies
Pharmacokinetic modeling
Pharmacokinetic Modeling
Forw
ard dosi
Reverse dosi
Human exposures(Chemical concentrations in
environment)
Animal exposures(Administered doses in
toxicity studies)
Traditional risk assessment
metry
metry
Exposure Reconstruction Using a PBPK ModelIraqi woman exposed during pregnancy
to grain contaminated with methylmercury
Linking Internal Dose to Health Outcome:
450 6MaternalE
42 µg/kg/day
200
250
300
350
400
MeH
g in H
air (p
pm)
3
4
5
MeH
g in B
lood
(pp
m)
Maternal hair
Maternal blood
Infant blood
Exposure 108 days
(Clewell et al., 2000)
0
50
100
150
0 200 400 600 800
Days
Me
0
1
2
Me
Pregnancy
14
QSAR In VitroKinetics
PartitioningP i l
Application of PBPK Modeling for In Vitro to In Vivo Extrapolation
PBPKModel
In VitroDynamics
PartitioningMetabolism
etc.
PotentialTarget Tissues
Target TissueResponses
In VivoExposure Profile
In VivoHumanToxicity Estimate
Nature of Toxicity
In VivoDose-Response
IVIVE Example:Impact of CYP2C9 Polymorphism on Coumaden (Warfarin) Internal Dose
QCPlasma
iv dose
QKidKidney
QRapRapidly Perfused
QSknSkin
(Gentry et al., 2002)
QSlwSlowly Perfused
QLiv
Liver
VMax, KM, KMI
oral dose
15
IntrinsicClearance
Allele Reference Mean CV Mean CV (VmaxC/Km)
CYP2C9*1 Haining et al ., 19961 1.61 1.85 0.87
Km (mg/L)Vmax (mg/hr/kg3/4)
Metabolic Parameters for (S)-Coumaden for Three CYP2C9 Alleles
Takahashi et al ., 1998b2 2.13 0.0036 0.81 0.12 2.6
Sullivan-Klose et al ., 19962 1.01 0.046 3.57 0.078 0.28
Rettie et al ., 19943 3.2 1.26 2.5Rettie et al ., 19944
3.2 1.05 3
CYP2C9*2 Sullivan-Klose et al ., 19962 1.26 0.031 3.85 0.056 0.33
Rettie et al ., 19943 0.21 0.52 0.4
Rettie et al ., 19944 0.36 0.65 0.55Rettie et al ., 19995
1.1 0.036 1.85 0.17 0.59
CYP2C9*3 Haining et al ., 19961 0.31 9.24 0.034
Takahashi et al ., 1998b2 0.51 0.22 3.2 0.16 0.16,Sullivan-Klose et al ., 19962
1.37 0.044 28.4 0.059 0.048
1 baculovirus/insect cell system, purified enzyme2 yeast expression, microsomes3 Hep G2 cells, cell lysate4 Hep G2 cells, particulate preparation5 expressed in insect cells, purified enzymes
(Haber et al., 2002)
Average Prevalence of CYP2C9 Alleles in the U.S. Population
Prevalence
S1 homozygous 78%
S1/S2 heterozygous 12%
S1/S3 heterozygous 9%
S2 homozygous 1%
(Haber et al., 2002)
S2/S3 heterozygous 1%
S3 homozygous 0.5%
16
Simulation of impact of genetic polymorphism on Coumaden internal dose
A . C Y P 2 C 9 * 1 A l l e l e
1
2
3
4
5
asm
a C
onc
entr
atio
n (
mg
/L) A . C Y P 2 C 9 * 1 A l l e l e
1
2
3
4
5
asm
a C
onc
entr
atio
n (
mg
/L)
0
0 1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0
H o u r s
Pla
B . C Y P 2 C 9 * 2 A l l e l e
0
1
2
3
4
5
0 1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0
H o u r s
Pla
sma
Co
ncen
trat
ion
(m
g/L
)
C . C Y P 2 C 9 * 3 A l le le5
g/L)
0
0 1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0
H o u r s
Pla
B . C Y P 2 C 9 * 2 A l l e l e
0
1
2
3
4
5
0 1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0
H o u r s
Pla
sma
Co
ncen
trat
ion
(m
g/L
)
C . C Y P 2 C 9 * 3 A l le le5
g/L)
(Gentry et al., 2002)
0
1
2
3
4
0 1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0
H o u r s
Pla
sma
Con
cent
ratio
n (m
g
0
1
2
3
4
0 1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 6 0 0 0
H o u r s
Pla
sma
Con
cent
ratio
n (m
g
Simulation of Impact of Genetic Polymorphism on Warfarin Internal Exposure
200
250
AU
C
Case 2
Case 3
Normal population
Total population
Simulation of impact of genetic polymorphism on coumaden internal dose
50
100
150
Fre
que
ncy
of (
S)-
War
farin
AF
requ
ency
0
0
50
10
0
15
0
20
0
25
0
30
0
35
0
40
0
45
0
50
0
55
0
60
0
65
0
70
0
75
0
80
0
85
0
90
0
95
0
100
0
(S)-Warfarin AUC
(Gentry et al., 2002)
(S)-Coumaden AUC
17
Application of PBPK Modeling to Investigate Age-Dependent Susceptibility
• An age-dependent PBPK model was developed to
simulate the physiological and biochemical changes in
humans associated with growth and aging.
• All physiological and biochemical parameters in the
model change with time based on empirical data; only
the chemical specific parameters remain constant.
• This model was used to simulate blood concentrations• This model was used to simulate blood concentrations
of nicotine and its metabolite cotinine for a constant
daily oral dose of 1 mg/kg/day nicotine from birth to 75
years
Age-Dependent Internal Exposure to Ingested Nicotine (1 ug/kg/day)
4 . 0 E - 4 2 . 5 E - 3
N i c o t i n e
C o t i n i n e
1 . 0 E - 4
2 . 0 E - 4
3 . 0 E - 4
Blo
od
Co
nc.
of
Nic
otin
e (
mg
/L)
5 0 E 4
1 . 0 E - 3
1 . 5 E - 3
2 . 0 E - 3
Blo
od
Co
nc.
of
Co
tinin
e (
mg
/L)
0 . 0 E + 0
0 2 0 4 0 6 0 8 0
A g e ( y e a r s )
0 . 0 E + 0
5 . 0 E - 4
18
• Clewell, H.J., Andersen, M.E., and Barton, H.A. 2002. A consistent approach for the application of pharmacokinetic modeling in cancer and noncancer risk assessment. Environmental Health Perspectives 110:85-93.
• Clewell, H.J., Gearhart, J.M., Gentry, P.R., Covington, T.R., VanLandingham, C.B., Crump, K.S., and Shipp, A.M. 1999. Evaluation of the uncertainty in an oral Reference Dose for methylmercury due to interindividual variability in pharmacokinetics Risk Anal 19:547-
References
methylmercury due to interindividual variability in pharmacokinetics. Risk Anal 19:547-558.
• Clewell, H.J., Gentry, P.R., Covington, T.R., Sarangapani, R., and Teeguarden, J.G. 2004. Evaluation of the potential impact of age- and gender-specific pharmacokinetic differences on tissue dosimetry. Toxicol. Sci. 79:381-393.
• Clewell, H.J., Gentry, P.R., Gearhart, J.M., Allen, B.C.,and Andersen, M.E. 2001. Comparison of cancer risk estimates for vinyl chloride using animal and human data with a PBPK model. Science of the Total Environment 274(1-3):37-66.
• Clewell, H.J., Reddy, M.B., Lave, T., and Andersen, M.E. 2007. Physiologically based pharmacokinetic modeling In: Gad SC ed Preclinical Development Handbook Johnpharmacokinetic modeling. In: Gad, SC, ed. Preclinical Development Handbook. John Wiley and Sons, Hoboken, NJ.
• Clewell, H. J., Tan, Y. M., Campbell, J.L., and Andersen, M.E. 2008. Quantitative interpretation of human biomonitoring data. Tox. Appl. Pharmacol., 231:122-133.
• Gentry, P.R., Hack, C.E., Haber, L., Maier, A., and Clewell, III, H.J. 2002. An Approach for the Quantitative Consideration of Genetic Polymorphism Data in Chemical Risk Assessment: Examples with Warfarin and Parathion. Toxicol Sci 70:120-139.
• Rowland M, Balant L, and Peck C. 2004. Physiologically Based Pharmacokinetics in Drug Development and Regulatory Science: A Workshop Report, AAPS PharmSci. 6(1):E6.