Skip to content

model_A_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 4
Number of species 4
Number of parameters 14 (8 external / 6 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

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

Transfer equations

id from to equation
_J0 Aair Aart Falv * (Aair / Vair) * Fabs
_J1 Aart Arest Qrest * (Aart / Vart)
_J2 Arest Aven Qrest * (Arest / Vrest) / k_rest_blood
_J3 Aven Aart CO * (Aven / Vven)
_J4 Aart Aair Falv * (Aart / Vart) / PCAir

ODEs

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

\(\frac{d[\mathtt{Aart}]}{dt} = \mathit{Falv}\cdot \frac{\mathit{Aair}}{\mathit{Vair}}\cdot \mathit{Fabs} - \mathit{Qrest}\cdot \frac{\mathit{Aart}}{\mathit{Vart}} + \mathit{CO}\cdot \frac{\mathit{Aven}}{\mathit{Vven}} - \frac{\mathit{Falv}\cdot \frac{\mathit{Aart}}{\mathit{Vart}}}{\mathit{PCAir}}\)

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

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

Assignment rules

variable assignment
Vblood BW * sc_Vblood
Vrest BW * sc_Vrest
Vart Vblood / 3
Vven Vblood - Vart

Initial assignments

variable assignment
Qrest CO
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
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
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