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Loizou

Overview

key value
Modelled species/orgamism(s) not specified
Model chemical(s) not specified
Input route(s) 1 (oral)
Time resolution not specified
Amounts unit not specified
Volume unit not specified
Number of compartments 5
Number of species 8
Number of parameters 38 (32 external / 6 internal)

Diagram

Diagram

Compartments

id name unit model qualifier
Stomach stomach not specified not specified
Liver liver not specified not specified
Plasma blood plasma not specified http://purl.obolibrary.org/obo/PBPKO_00488
Gut gut not specified http://purl.obolibrary.org/obo/PBPKO_00477
Rest rest-of-body not specified http://purl.obolibrary.org/obo/PBPKO_00450

Species

id name unit model qualifier
AStomach not specified not specified not specified
ALiver amount of chemical in liver not specified http://purl.obolibrary.org/obo/PBPKO_00497
APlasma amount of chemical in plasma not specified http://purl.obolibrary.org/obo/PBPKO_00502
AGut amount of chemical in gut not specified http://purl.obolibrary.org/obo/PBPKO_00496
ARest amount of chemical in rest-of-body not specified http://purl.obolibrary.org/obo/PBPKO_00501
AGutMet1 not specified not specified not specified
ALiverMet1 not specified not specified not specified
ALiverMet2 not specified not specified not specified

Transfer equations

id from to equation
_J0 AStomach AGut ksto * AStomach
_J1 AStomach ALiver k0 * AStomach
_J2 AGut ALiver kabs * AGut
_J3 AGut AGutMet1 VmaxGMet1 * CGut * fu / (CGut * fu + KmGMet1)
_J4 APlasma ALiver QL * CPlasma * fu
_J5 ALiver APlasma QL * fu * CLiver / PL
_J6 APlasma ARest QRest * CPlasma * fu
_J7 ARest APlasma QRest * fu * CRest / PRest
_J8 ALiver ALiverMet1 VmaxLMet1 * CLiver * fu / (CLiver * fu + KmLMet1)
_J9 ALiver ALiverMet2 VmaxLMet2 * CLiver * fu / (CLiver * fu + KmLMet2)

ODEs

\(\frac{d[\mathtt{AStomach}]}{dt} = - \mathit{ksto}\cdot \mathit{AStomach} - \mathit{k0}\cdot \mathit{AStomach}\)

\(\frac{d[\mathtt{ALiver}]}{dt} = \mathit{k0}\cdot \mathit{AStomach} + \mathit{kabs}\cdot \mathit{AGut} + \mathit{QL}\cdot \mathit{CPlasma}\cdot \mathit{fu} - \frac{\mathit{QL}\cdot \mathit{fu}\cdot \mathit{CLiver}}{\mathit{PL}} - \frac{\mathit{VmaxLMet1}\cdot \mathit{CLiver}\cdot \mathit{fu}}{\mathit{CLiver}\cdot \mathit{fu}+\mathit{KmLMet1}} - \frac{\mathit{VmaxLMet2}\cdot \mathit{CLiver}\cdot \mathit{fu}}{\mathit{CLiver}\cdot \mathit{fu}+\mathit{KmLMet2}}\)

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

\(\frac{d[\mathtt{AGut}]}{dt} = \mathit{ksto}\cdot \mathit{AStomach} - \mathit{kabs}\cdot \mathit{AGut} - \frac{\mathit{VmaxGMet1}\cdot \mathit{CGut}\cdot \mathit{fu}}{\mathit{CGut}\cdot \mathit{fu}+\mathit{KmGMet1}}\)

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

\(\frac{d[\mathtt{AGutMet1}]}{dt} = \frac{\mathit{VmaxGMet1}\cdot \mathit{CGut}\cdot \mathit{fu}}{\mathit{CGut}\cdot \mathit{fu}+\mathit{KmGMet1}}\)

\(\frac{d[\mathtt{ALiverMet1}]}{dt} = \frac{\mathit{VmaxLMet1}\cdot \mathit{CLiver}\cdot \mathit{fu}}{\mathit{CLiver}\cdot \mathit{fu}+\mathit{KmLMet1}}\)

\(\frac{d[\mathtt{ALiverMet2}]}{dt} = \frac{\mathit{VmaxLMet2}\cdot \mathit{CLiver}\cdot \mathit{fu}}{\mathit{CLiver}\cdot \mathit{fu}+\mathit{KmLMet2}}\)

Assignment rules

variable assignment
VRest 0.84 * BW - VL - VPlasma - VG
CLiver ALiver / Liver
CPlasma APlasma / Plasma
CPlasma_Total CPlasma / fu
CGut AGut / Gut
CRest ARest / Rest

Initial assignments

variable assignment
Liver VL
Plasma VPlasma
Gut VG
Rest VRest
VL VLc * BW
VPlasma VPlasmac * BW
VG VGc * BW
QC 20 * pow(BW, 0.75)
QL QLc * QC
QG QGc * QC
QRest (1 - QLc - QGc) * QC
k0 k0C * pow(BW, -0.25)
ksto kstoC * pow(BW, -0.25)
kabs kabsC * pow(BW, -0.25)
VmaxGMet1 22750 / 1000 * pow(BW, 0.75)
VmaxLMet1 680095.6 / 1000 * pow(BW, 0.75)
VmaxLMet2 11657 / 1000 * pow(BW, 0.75)

Parameters

id name unit model qualifier
BW body weight not specified http://purl.obolibrary.org/obo/PBPKO_00008
VLc not specified not specified not specified
VPlasmac not specified not specified not specified
VGc not specified not specified not specified
VL not specified not specified not specified
VPlasma not specified not specified not specified
VG not specified not specified not specified
VRest not specified not specified not specified
QC not specified not specified not specified
QLc not specified not specified not specified
QGc not specified not specified not specified
QL not specified not specified not specified
QG not specified not specified not specified
QRest not specified not specified not specified
Hct not specified not specified not specified
fu not specified not specified not specified
k0C not specified not specified not specified
k0 not specified not specified not specified
kstoC not specified not specified not specified
ksto not specified not specified not specified
kabsC not specified not specified not specified
kabs not specified not specified not specified
VmaxGMet1C not specified not specified not specified
VmaxGMet1 not specified not specified not specified
KmGMet1 not specified not specified not specified
VmaxLMet1C not specified not specified not specified
VmaxLMet1 not specified not specified not specified
KmLMet1 not specified not specified not specified
VmaxLMet2C not specified not specified not specified
VmaxLMet2 not specified not specified not specified
KmLMet2 not specified not specified not specified
PL not specified not specified not specified
PRest not specified not specified not specified
CLiver not specified not specified not specified
CPlasma not specified not specified not specified
CPlasma_Total not specified not specified not specified
CGut not specified not specified not specified
CRest not specified not specified not specified