Skip to content

model_C_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 6
Number of species 6
Number of parameters 22 (12 external / 10 internal)

Diagram

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
Bloodlung not specified not specified 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
Abloodlung not specified not specified not specified

Transfer equations

id from to equation
_J0 Aair Abloodlung Falv * (Aair / Vair) * Fabs
_J1 Abloodlung Aart Qbloodlung * (Aart / Vart)
_J2 Aven Abloodlung Qlung * (Abloodlung / Vbloodlung) / k_bloodlung_blood
_J3 Aart Arest Qrest * (Aart / Vart)
_J4 Arest Aven Qrest * (Arest / Vrest) / k_rest_blood
_J5 Aart Alung Qlung * (Aart / Vart)
_J6 Alung Aven Qlung * (Alung / Vlung) / k_lung_blood
_J7 Aven Aart CO * (Aven / Vven)
_J8 Abloodlung Aair Falv * (Abloodlung / Vbloodlung) / PCAir

ODEs

\(\frac{d[\mathtt{Aair}]}{dt} = - \mathit{Falv}\cdot \frac{\mathit{Aair}}{\mathit{Vair}}\cdot \mathit{Fabs} + \frac{\mathit{Falv}\cdot \frac{\mathit{Abloodlung}}{\mathit{Vbloodlung}}}{\mathit{PCAir}}\)

\(\frac{d[\mathtt{Aart}]}{dt} = \mathit{Qbloodlung}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} - \mathit{Qrest}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} - \mathit{Qlung}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} + \mathit{CO}\cdot \frac{\mathit{Aven}}{\mathit{Vven}}\)

\(\frac{d[\mathtt{Aven}]}{dt} = - \frac{\mathit{Qlung}\cdot \frac{\mathit{Abloodlung}}{\mathit{Vbloodlung}}}{\mathit{k\_bloodlung\_blood}} + \frac{\mathit{Qrest}\cdot \frac{\mathit{Arest}}{\mathit{Vrest}}}{\mathit{k\_rest\_blood}} + \frac{\mathit{Qlung}\cdot \frac{\mathit{Alung}}{\mathit{Vlung}}}{\mathit{k\_lung\_blood}} - \mathit{CO}\cdot \frac{\mathit{Aven}}{\mathit{Vven}}\)

\(\frac{d[\mathtt{Arest}]}{dt} = \mathit{Qrest}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} - \frac{\mathit{Qrest}\cdot \frac{\mathit{Arest}}{\mathit{Vrest}}}{\mathit{k\_rest\_blood}}\)

\(\frac{d[\mathtt{Alung}]}{dt} = \mathit{Qlung}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} - \frac{\mathit{Qlung}\cdot \frac{\mathit{Alung}}{\mathit{Vlung}}}{\mathit{k\_lung\_blood}}\)

\(\frac{d[\mathtt{Abloodlung}]}{dt} = \mathit{Falv}\cdot \frac{\mathit{Aair}}{\mathit{Vair}}\cdot \mathit{Fabs} - \mathit{Qbloodlung}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} + \frac{\mathit{Qlung}\cdot \frac{\mathit{Abloodlung}}{\mathit{Vbloodlung}}}{\mathit{k\_bloodlung\_blood}} - \frac{\mathit{Falv}\cdot \frac{\mathit{Abloodlung}}{\mathit{Vbloodlung}}}{\mathit{PCAir}}\)

Assignment rules

variable assignment
Vblood BW * sc_Vblood
Vrest BW * sc_Vrest
Vbloodlung BW * sc_Vbloodlung
Vlung BW * sc_Vlung
Vart Vblood / 3
Vven Vblood - Vart

Initial assignments

variable assignment
Qbloodlung CO
Qlung CO
Qrest CO - Qlung - Qbloodlung
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
Vbloodlung not specified not specified not specified
sc_Vbloodlung 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
Qbloodlung not specified not specified not specified
Qlung not specified not specified not specified
k_bloodlung_blood not specified dimensionless not specified
Qrest not specified not specified not specified
k_rest_blood not specified dimensionless not specified
k_lung_blood not specified dimensionless not specified
CO not specified L/h not specified
PCAir not specified dimensionless not specified