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Teeguarden

Notes


BPA/BPAG PBPK (Human; Teeguarden et al., 2005) Human PBK for oral absorption administration → GITract Lumen → liver <- GITract Lumen Metabolism Parent only, perfusion-limited tissues GITract Lumen Metabolism BAPG → BAP Hepatic Metabolism BAP → BAPG EHR of BAPG

Overview

key value
Modelled species/orgamism(s) http://purl.obolibrary.org/obo/NCBITaxon_9606
Model chemical(s) http://purl.obolibrary.org/obo/CHEBI_33216
Input route(s) no routes detected
Time resolution h
Amounts unit mg
Volume unit L
Number of compartments 5
Number of species 8
Number of parameters 30 (15 external / 15 internal)

Diagram

Diagram

Compartments

id name unit model qualifier
GILumen GI lumen compartment L http://purl.obolibrary.org/obo/PBPKO_00478
Liver liver L http://purl.obolibrary.org/obo/PBPKO_00558
Blood blood L http://purl.obolibrary.org/obo/PBPKO_00464
Rest rest-of-body L http://purl.obolibrary.org/obo/PBPKO_00450
Feces feces L http://purl.obolibrary.org/obo/PBPKO_00555

Species

id name unit model qualifier
AGILumen Amount in GI lumen mg http://purl.obolibrary.org/obo/PBPKO_00496
ALiver amount of chemical in liver mg http://purl.obolibrary.org/obo/PBPKO_00497
ABlood amount of chemical in blood mg http://purl.obolibrary.org/obo/PBPKO_00623
ARest amount of chemical in rest-of-body mg http://purl.obolibrary.org/obo/PBPKO_00501
ALiverMet Amount of metabolite in liver mg http://purl.obolibrary.org/obo/PBPKO_00497
AGILumenMet Amount of metabolite in GI lumen mg http://purl.obolibrary.org/obo/PBPKO_00496
ABloodMet Amount of metabolite in blood mg http://purl.obolibrary.org/obo/PBPKO_00623
AFecesMet Amount of metabolite in feces mg http://purl.obolibrary.org/obo/PBPKO_00273

Transfer equations

id from to equation
_J0 AGILumen ALiver kabsMet1 * AGILumen
_J1 ABlood ALiver QL * CBlood
_J2 ALiver ABlood QL * CLiver / PL
_J3 ABlood ARest QRest * CBlood
_J4 ARest ABlood QRest * CRest / PRest
_J5 ALiver ALiverMet MWMet / MW * (VmaxLMet * (CLiver / PL) / (KmLMet + CLiver / PL))
_J6 ALiverMet ABloodMet (1 - BileFrac) * ALiverMet
_J7 ALiverMet AGILumenMet BileFrac * ALiverMet
_J8 AGILumenMet ALiver AGILumenMet * kehrMet1
_J9 AGILumenMet AFecesMet AGILumenMet * kfe

ODEs

\(\frac{d[\mathtt{AGILumen}]}{dt} = - \mathit{kabsMet1}\cdot \mathit{AGILumen}\)

\(\frac{d[\mathtt{ALiver}]}{dt} = \mathit{kabsMet1}\cdot \mathit{AGILumen} + \mathit{QL}\cdot \mathit{CBlood} - \frac{\mathit{QL}\cdot \mathit{CLiver}}{\mathit{PL}} - \frac{\mathit{MWMet}}{\mathit{MW}}\cdot \frac{\mathit{VmaxLMet}\cdot \frac{\mathit{CLiver}}{\mathit{PL}}}{\mathit{KmLMet}+\frac{\mathit{CLiver}}{\mathit{PL}}} + \mathit{AGILumenMet}\cdot \mathit{kehrMet1}\)

\(\frac{d[\mathtt{ABlood}]}{dt} = - \mathit{QL}\cdot \mathit{CBlood} + \frac{\mathit{QL}\cdot \mathit{CLiver}}{\mathit{PL}} - \mathit{QRest}\cdot \mathit{CBlood} + \frac{\mathit{QRest}\cdot \mathit{CRest}}{\mathit{PRest}}\)

\(\frac{d[\mathtt{ARest}]}{dt} = \mathit{QRest}\cdot \mathit{CBlood} - \frac{\mathit{QRest}\cdot \mathit{CRest}}{\mathit{PRest}}\)

\(\frac{d[\mathtt{ALiverMet}]}{dt} = \frac{\mathit{MWMet}}{\mathit{MW}}\cdot \frac{\mathit{VmaxLMet}\cdot \frac{\mathit{CLiver}}{\mathit{PL}}}{\mathit{KmLMet}+\frac{\mathit{CLiver}}{\mathit{PL}}} - (1-\mathit{BileFrac})\cdot \mathit{ALiverMet} - \mathit{BileFrac}\cdot \mathit{ALiverMet}\)

\(\frac{d[\mathtt{AGILumenMet}]}{dt} = \mathit{BileFrac}\cdot \mathit{ALiverMet} - \mathit{AGILumenMet}\cdot \mathit{kehrMet1} - \mathit{AGILumenMet}\cdot \mathit{kfe}\)

\(\frac{d[\mathtt{ABloodMet}]}{dt} = (1-\mathit{BileFrac})\cdot \mathit{ALiverMet}\)

\(\frac{d[\mathtt{AFecesMet}]}{dt} = \mathit{AGILumenMet}\cdot \mathit{kfe}\)

Assignment rules

variable assignment
VL VLc * BW
VB VBc * BW
VRest 0.84 * BW - VL - VB
QC QCc * pow(BW, 0.75)
QLc 0.23
QL QLc * QC
QRest (1 - QLc) * QC
kabsMet1 kabsMet1C * pow(BW, -0.25)
VmaxLMet VmaxLMetC * pow(BW, 0.75)
kehrMet1 kehrMet1C * pow(BW, -0.25)
kfe kfeC * pow(BW, -0.25)
CBlood ABlood / Blood
CLiver ALiver / Liver
CRest ARest / Rest
CPlasma CBlood / RBP

Initial assignments

variable assignment
Liver VL
Blood VB
Rest VRest

Parameters

id name unit model qualifier
BW body weight kg http://purl.obolibrary.org/obo/PBPKO_00008
VLc Volume fraction of liver to bodyweight L/kg http://purl.obolibrary.org/obo/PBPKO_00078
VBc Volume fraction of blood to bodyweight L/kg not specified
VL Volume of liver L http://purl.obolibrary.org/obo/PBPKO_00077
VB Volume of blood L http://purl.obolibrary.org/obo/PBPKO_00108
VRest Volume of rest of body L http://purl.obolibrary.org/obo/PBPKO_00105
QCc Cardiac output constant L/h/kg^0.75 http://purl.obolibrary.org/obo/PBPKO_00013
QC Cardiac output L/h http://purl.obolibrary.org/obo/PBPKO_00013
QLc Blood flow to liver constant dimensionless http://purl.obolibrary.org/obo/PBPKO_00025
QL Blood flow rate to liver L/h http://purl.obolibrary.org/obo/PBPKO_00024
QRest Blood flow to rest of body L/h http://purl.obolibrary.org/obo/PBPKO_00050
PL Partition coefficient - liver dimensionless http://purl.obolibrary.org/obo/PBPKO_00577
PRest Partition coefficient - rest of body dimensionless http://purl.obolibrary.org/obo/PBPKO_00585
RBP Blood plasma ratio dimensionless http://purl.obolibrary.org/obo/PBPKO_00187
kabsMet1C Intrinsic uptake from stomach to liver constant not specified not specified
kabsMet1 Uptake rate from stomach to liver /h not specified
VmaxLMetC Glucuronidation - Vmax not specified http://purl.obolibrary.org/obo/PBPKO_00214
VmaxLMet Glucuronidation - Vmax not specified http://purl.obolibrary.org/obo/PBPKO_00214
KmLMet Glucuronidation - Km mg/L http://purl.obolibrary.org/obo/PBPKO_00214
MW Molecular weight g/mol http://purl.obolibrary.org/obo/PBPKO_00127
MWMet Molecular weight g/mol http://purl.obolibrary.org/obo/PBPKO_00127
BileFrac % of metabolite that goes to bile dimensionless not specified
kehrMet1C Enterohepatic recirculation constant metabolite not specified not specified
kehrMet1 Enterohepatic recirculation rate of metabolite /h not specified
kfeC Fecal elimination constant not specified http://purl.obolibrary.org/obo/PBPKO_00236
kfe Fecal elimination rate /h http://purl.obolibrary.org/obo/PBPKO_00230
CBlood Concentration in blood mg/L http://purl.obolibrary.org/obo/PBPKO_00301
CLiver Concentration in liver mg/L http://purl.obolibrary.org/obo/PBPKO_00539
CRest Concentration in rest of body mg/L http://purl.obolibrary.org/obo/PBPKO_00548
CPlasma Concentration in plasma mg/L http://purl.obolibrary.org/obo/PBPKO_00549