Carrier 2001
Notes
Hg PBK (Carrier et al., 2001):
Overview
| key |
value |
| Modelled species/orgamism(s) |
http://purl.obolibrary.org/obo/NCBITaxon_9606 |
| Model chemical(s) |
http://purl.obolibrary.org/obo/CHEBI_16170 |
| Input route(s) |
1 (oral) |
| Time resolution |
d |
| Amounts unit |
mg |
| Volume unit |
L |
| Number of compartments |
3 |
| Number of species |
3 |
| Number of parameters |
12 (7 external / 5 internal) |
Diagram

Compartments
| id |
name |
unit |
model qualifier |
| GI |
Gastrointestinal compartment |
L |
http://purl.obolibrary.org/obo/PBPKO_00477 |
| Liver |
Liver compartment |
L |
http://purl.obolibrary.org/obo/PBPKO_00558 |
| Blood |
Blood compartment |
L |
http://purl.obolibrary.org/obo/PBPKO_00464 |
Species
| id |
name |
unit |
model qualifier |
| AGI |
Amount in gastrointestinal compartment |
mg |
http://purl.obolibrary.org/obo/PBPKO_00496 |
| ABlood |
Amount in blood |
mg |
http://purl.obolibrary.org/obo/PBPKO_00623 |
| ALiver_Met |
Amount in liver (metabolised) |
mg |
http://purl.obolibrary.org/obo/PBPKO_00497 |
Transfer equations
| id |
from |
to |
equation |
| _J0 |
AGI |
ABlood |
kabs * AGI * Frac |
| _J1 |
ABlood |
ALiver_Met |
ABlood * kmet_liver |
ODEs
\(\frac{d[\mathtt{AGI}]}{dt} = - \mathit{kabs}\cdot \mathit{AGI}\cdot \mathit{Frac}\)
\(\frac{d[\mathtt{ABlood}]}{dt} = \mathit{kabs}\cdot \mathit{AGI}\cdot \mathit{Frac}
- \mathit{ABlood}\cdot \mathit{kmet_{liver}}\)
\(\frac{d[\mathtt{ALiver-Met}]}{dt} = \mathit{ABlood}\cdot \mathit{kmet_{liver}}\)
Assignment rules
| variable |
assignment |
| VB |
VBc * BW |
| VGI |
VGIc * BW |
| VL |
VLc * BW |
| CGI |
AGI / GI |
| CBlood |
ABlood / Blood |
Initial assignments
| variable |
assignment |
| GI |
VGI |
| Liver |
VL |
| Blood |
VB |
Parameters
| id |
name |
unit |
model qualifier |
| BW |
Bodyweight |
kg |
http://purl.obolibrary.org/obo/PBPKO_00008 |
| VGIc |
Volume fraction of gut |
L/kg |
http://purl.obolibrary.org/obo/PBPKO_00509 |
| VBc |
Volume fraction of blood |
L/kg |
not specified |
| VLc |
Volume fraction of liver |
L/kg |
http://purl.obolibrary.org/obo/PBPKO_00078 |
| VB |
Volume of blood |
L |
http://purl.obolibrary.org/obo/PBPKO_00108 |
| VGI |
Volume of gastrointestinal compartment |
L |
http://purl.obolibrary.org/obo/PBPKO_00524 |
| VL |
Volume of liver |
L |
http://purl.obolibrary.org/obo/PBPKO_00077 |
| kabs |
Oral absorption rate constant |
/d |
not specified |
| Frac |
Bioavailability |
dimensionless |
http://purl.obolibrary.org/obo/PBPKO_00263 |
| kmet_liver |
Metabolism rate constant |
/d |
not specified |
| CGI |
Concentration in gastrointestinal compartment |
mg/L |
http://purl.obolibrary.org/obo/PBPKO_00538 |
| CBlood |
Concentration in blood |
mg/L |
http://purl.obolibrary.org/obo/PBPKO_00301 |