model_B_inh_exh_art_ven
Overview
| key | value |
|---|---|
| Modelled species/orgamism(s) | not specified |
| Model chemical(s) | not specified |
| Input route(s) | 1 (dermal) |
| Time resolution | h |
| Amounts unit | ug |
| Volume unit | L |
| Number of compartments | 5 |
| Number of species | 5 |
| Number of parameters | 18 (10 external / 8 internal) |
Diagram
Compartments
| id | name | unit | model qualifier |
|---|---|---|---|
| Air | alveolar air | L | http://purl.obolibrary.org/obo/PBPKO_00458 |
| Arterial | not specified | L | not specified |
| Venous | not specified | L | not specified |
| RestofBody | not specified | L | not specified |
| Lung | lung | L | not specified |
Species
| id | name | unit | model qualifier |
|---|---|---|---|
| Aair | not specified | ug | not specified |
| Aart | not specified | ug | not specified |
| Aven | amount of chemical in venous blood | ug | not specified |
| Arest | amount of chemical in rest-of-body | ug | http://purl.obolibrary.org/obo/PBPKO_00501 |
| Alung | not specified | ug | not specified |
Transfer equations
| id | from | to | equation |
|---|---|---|---|
| _J0 | Aair | Alung | Falv * (Aair / Vair) * Fabs |
| _J1 | Alung | Aart | Qlung * (Aart / Vart) |
| _J2 | Aven | Alung | Qlung * (Alung / Vlung) / k_lung_blood |
| _J3 | Aart | Arest | Qrest * (Aart / Vart) |
| _J4 | Arest | Aven | Qrest * (Arest / Vrest) / k_rest_blood |
| _J5 | Aven | Aart | CO * (Aven / Vven) |
| _J6 | Alung | Aair | Falv * (Alung / Vlung) / PCAir |
ODEs
\(\frac{d[\mathtt{Aair}]}{dt} = - \mathit{Falv}\cdot \frac{\mathit{Aair}}{\mathit{Vair}}\cdot \mathit{Fabs} + \frac{\mathit{Falv}\cdot \frac{\mathit{Alung}}{\mathit{Vlung}}}{\mathit{PCAir}}\)
\(\frac{d[\mathtt{Aart}]}{dt} = \mathit{Qlung}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} - \mathit{Qrest}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} + \mathit{CO}\cdot \frac{\mathit{Aven}}{\mathit{Vven}}\)
\(\frac{d[\mathtt{Aven}]}{dt} = - \frac{\mathit{Qlung}\cdot \frac{\mathit{Alung}}{\mathit{Vlung}}}{\mathit{k\_lung\_blood}} + \frac{\mathit{Qrest}\cdot \frac{\mathit{Arest}}{\mathit{Vrest}}}{\mathit{k\_rest\_blood}} - \mathit{CO}\cdot \frac{\mathit{Aven}}{\mathit{Vven}}\)
\(\frac{d[\mathtt{Arest}]}{dt} = \mathit{Qrest}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} - \frac{\mathit{Qrest}\cdot \frac{\mathit{Arest}}{\mathit{Vrest}}}{\mathit{k\_rest\_blood}}\)
\(\frac{d[\mathtt{Alung}]}{dt} = \mathit{Falv}\cdot \frac{\mathit{Aair}}{\mathit{Vair}}\cdot \mathit{Fabs} - \mathit{Qlung}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} + \frac{\mathit{Qlung}\cdot \frac{\mathit{Alung}}{\mathit{Vlung}}}{\mathit{k\_lung\_blood}} - \frac{\mathit{Falv}\cdot \frac{\mathit{Alung}}{\mathit{Vlung}}}{\mathit{PCAir}}\)
Assignment rules
| variable | assignment |
|---|---|
| Vblood | BW * sc_Vblood |
| Vrest | BW * sc_Vrest |
| Vlung | BW * sc_Vlung |
| Vart | Vblood / 3 |
| Vven | Vblood - Vart |
Initial assignments
| variable | assignment |
|---|---|
| Qlung | CO |
| Qrest | CO - Qlung |
| CO | 12.5 * pow(BW, 0.75) |
Parameters
| id | name | unit | model qualifier |
|---|---|---|---|
| Vblood | not specified | not specified | not specified |
| BW | body weight | kg | http://purl.obolibrary.org/obo/PBPKO_00008 |
| sc_Vblood | not specified | L/kg | not specified |
| Vrest | not specified | not specified | not specified |
| sc_Vrest | not specified | L/kg | not specified |
| Vlung | not specified | not specified | not specified |
| sc_Vlung | not specified | L/kg | not specified |
| Vart | not specified | not specified | not specified |
| Vven | not specified | not specified | not specified |
| Falv | not specified | L/h | not specified |
| Vair | not specified | not specified | not specified |
| Fabs | not specified | not specified | not specified |
| Qlung | not specified | not specified | not specified |
| k_lung_blood | not specified | dimensionless | not specified |
| Qrest | not specified | not specified | not specified |
| k_rest_blood | not specified | dimensionless | not specified |
| CO | not specified | L/h | not specified |
| PCAir | not specified | dimensionless | not specified |