Parameters
Drug Properties
Kp (Partition Coeff.)
Physiology
Blood Flow (L/h)
PBPK Model
Equations
Stomach
dAst/dt = −ka,st · Ast
Gut
dAgut/dt = ka·fa·ka,st·Ast + Qgut·(Cart/BP − Cgut/Kpgut)
Liver
dAliv/dt = Qgut·Cgut/Kpgut + Qliv,a·Cart/BP − Qliv,t·Cliv/Kpliv − CLint·fu·Cliv/Kpliv
Kidney
dAkid/dt = Qkid·(Cart/BP − Ckid/Kpkid) − CLR·Ckid/Kpkid
Tissue
dAT/dt = QT·(Cart/BP − CT/KpT)
Venous
dAven/dt = Σ(Qi·Ci/Kpi)·BP − QL·Cven
Lung
dAL/dt = QL·(Cven/BP − CL/KpL)
Arterial
dAart/dt = QL·CL/KpL·BP − ΣQi·Cart
Notation
A Amount (mg)
C Concentration (mg/L)
Q Blood flow (L/h)
Kp Partition coefficient
BP Blood:plasma ratio
fu Fraction unbound
fa Fraction absorbed
CLint Hepatic intrinsic CL
CLR GFR · fu · fe
PK Results
Earth (1G)
Cmax—
Tmax—
AUC—
t½—
ISS (~0G)
Cmax—
Tmax—
AUC—
t½—
Moon (0.16G)
Cmax—
Tmax—
AUC—
t½—
Mars (0.38G)
Cmax—
Tmax—
AUC—
t½—
Concentration Profiles
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