KjellstromNordberg 1978
Notes
Cd PBK (Kjellstrom and Nordberg, 1978):
Overview
| key | value |
|---|---|
| Modelled species/orgamism(s) | http://purl.obolibrary.org/obo/NCBITaxon_9606 |
| Model chemical(s) | http://purl.obolibrary.org/obo/CHEBI_22978 |
| Input route(s) | 1 (oral) |
| Time resolution | d |
| Amounts unit | ug |
| Volume unit | L |
| Number of compartments | 9 |
| Number of species | 9 |
| Number of parameters | 15 (14 external / 1 internal) |
Diagram
Compartments
| id | name | unit | model qualifier |
|---|---|---|---|
| GI | Gut compartment | L | http://purl.obolibrary.org/obo/PBPKO_00477 |
| Intestinal_Tissue | Intestinal tissue compartment | L | not specified |
| Liver | Liver compartment | L | http://purl.obolibrary.org/obo/PBPKO_00558 |
| Kidney | Kidney compartment | L | http://purl.obolibrary.org/obo/PBPKO_00557 |
| Plasma | Plasma compartment | L | http://purl.obolibrary.org/obo/PBPKO_00488 |
| Red_Blood_Cell | Red blood cells compartment | L | http://purl.obolibrary.org/obo/PBPKO_00634 |
| Metallothionein | Metallothionein blood compartment | L | http://purl.obolibrary.org/obo/PBPKO_00464 |
| Rest | Rest of body compartment | L | http://purl.obolibrary.org/obo/PBPKO_00450 |
| Daily_Uptake | Amount of daily uptake | L | not specified |
Species
| id | name | unit | model qualifier |
|---|---|---|---|
| AGI | Amount in gut | ug | http://purl.obolibrary.org/obo/PBPKO_00496 |
| ATI | Amount in intestinal tissue | ug | not specified |
| ALiver | Amount in liver | ug | http://purl.obolibrary.org/obo/PBPKO_00497 |
| AKidney | Amount in kidney | ug | http://purl.obolibrary.org/obo/PBPKO_00498 |
| APlasma | Amount in plasma | ug | http://purl.obolibrary.org/obo/PBPKO_00502 |
| ARBC | Amount in red blood cells | ug | http://purl.obolibrary.org/obo/PBPKO_00623 |
| AMetallothionein | Amount in metallothionein blood | ug | http://purl.obolibrary.org/obo/PBPKO_00623 |
| ARest | Amount in rest of body | ug | http://purl.obolibrary.org/obo/PBPKO_00501 |
| ADaily_Uptake | Amount of daily uptake | ug | not specified |
Transfer equations
| id | from | to | equation |
|---|---|---|---|
| _J0 | AGI | ATI | C5 * AGI |
| _J1 | ATI | ADaily_Uptake | C6 * ATI |
| _J2 | ADaily_Uptake | AMetallothionein | piecewise(C7 * ADaily_Uptake, lt(C7 * ADaily_Uptake, C8), C8) |
| _J3 | ADaily_Uptake | APlasma | piecewise(ADaily_Uptake * (1 - C7), lt(C7 * ADaily_Uptake, C8), ADaily_Uptake - C8) |
| _J4 | APlasma | ARest | C9 * APlasma |
| _J5 | ARest | APlasma | C10 * ARest |
| _J6 | APlasma | ALiver | C12 * APlasma |
| _J7 | ALiver | APlasma | C13 * ALiver |
| _J8 | ALiver | AMetallothionein | C14 * ALiver |
| _J9 | ARBC | AMetallothionein | C16 * ARBC |
| _J10 | AMetallothionein | AKidney | C17 * AMetallothionein |
| _J11 | AKidney | APlasma | C18 * AKidney |
| _J12 | APlasma | ARBC | CX * APlasma |
ODEs
\(\frac{d[\mathtt{AGI}]}{dt} = - \mathit{C5}\cdot \mathit{AGI}\)
\(\frac{d[\mathtt{ATI}]}{dt} = \mathit{C5}\cdot \mathit{AGI} - \mathit{C6}\cdot \mathit{ATI}\)
\(\frac{d[\mathtt{ALiver}]}{dt} = \mathit{C12}\cdot \mathit{APlasma} - \mathit{C13}\cdot \mathit{ALiver} - \mathit{C14}\cdot \mathit{ALiver}\)
\(\frac{d[\mathtt{AKidney}]}{dt} = \mathit{C17}\cdot \mathit{AMetallothionein} - \mathit{C18}\cdot \mathit{AKidney}\)
\(\frac{d[\mathtt{APlasma}]}{dt} = \begin{cases} \mathit{ADaily_{Uptake}}\cdot (1-\mathit{C7})& \text{ if } & \mathit{C7}\cdot \mathit{ADaily_{Uptake}}<\mathit{C8}\\ \mathit{ADaily_{Uptake}}-\mathit{C8}& {\text{ otherwise}}\end{cases} - \mathit{C9}\cdot \mathit{APlasma} + \mathit{C10}\cdot \mathit{ARest} - \mathit{C12}\cdot \mathit{APlasma} + \mathit{C13}\cdot \mathit{ALiver} + \mathit{C18}\cdot \mathit{AKidney} - \mathit{CX}\cdot \mathit{APlasma}\)
\(\frac{d[\mathtt{ARBC}]}{dt} = - \mathit{C16}\cdot \mathit{ARBC} + \mathit{CX}\cdot \mathit{APlasma}\)
\(\frac{d[\mathtt{AMetallothionein}]}{dt} = \begin{cases} \mathit{C7}\cdot \mathit{ADaily_{Uptake}}& \text{ if } & \mathit{C7}\cdot \mathit{ADaily_{Uptake}}<\mathit{C8}\\ \mathit{C8}& {\text{ otherwise}}\end{cases} + \mathit{C14}\cdot \mathit{ALiver} + \mathit{C16}\cdot \mathit{ARBC} - \mathit{C17}\cdot \mathit{AMetallothionein}\)
\(\frac{d[\mathtt{ARest}]}{dt} = \mathit{C9}\cdot \mathit{APlasma} - \mathit{C10}\cdot \mathit{ARest}\)
\(\frac{d[\mathtt{ADaily-Uptake}]}{dt} = \mathit{C6}\cdot \mathit{ATI} - \begin{cases} \mathit{C7}\cdot \mathit{ADaily_{Uptake}}& \text{ if } & \mathit{C7}\cdot \mathit{ADaily_{Uptake}}<\mathit{C8}\\ \mathit{C8}& {\text{ otherwise}}\end{cases} - \begin{cases} \mathit{ADaily_{Uptake}}\cdot (1-\mathit{C7})& \text{ if } & \mathit{C7}\cdot \mathit{ADaily_{Uptake}}<\mathit{C8}\\ \mathit{ADaily_{Uptake}}-\mathit{C8}& {\text{ otherwise}}\end{cases}\)
Assignment rules
| variable | assignment |
|---|---|
| C17 | piecewise(0.95, lt(Age, 30), 0.95 * 0.33 * (Age - 30) / (80 - 30)) |
Parameters
| id | name | unit | model qualifier |
|---|---|---|---|
| Age | Age | y | http://purl.obolibrary.org/obo/PBPKO_00521 |
| BW | Bodyweight | kg | http://purl.obolibrary.org/obo/PBPKO_00008 |
| C5 | Coefficient | dimensionless | not specified |
| C6 | Coefficient | /d | not specified |
| C7 | Coefficient | dimensionless | not specified |
| C8 | Coefficient | mg | not specified |
| C9 | Coefficient | dimensionless | not specified |
| C10 | Coefficient | /d | not specified |
| C12 | Coefficient | dimensionless | not specified |
| C13 | Coefficient | /d | not specified |
| C14 | Coefficient | /d | not specified |
| C16 | Coefficient | /d | not specified |
| C17 | Coefficient | dimensionless | not specified |
| C18 | Coefficient | /d | not specified |
| CX | Coefficient | dimensionless | not specified |