Les modèles non linéaires à effets mixtes - Isped

Le logiciel MONOLIX
A pharmacokinetics example : theophylline
Twelve subjects were given oral doses of the anti-asthmatic drug
theophylline, then serum concentrations (in mg/L) were measured at 11
time points over the next 25 hours.
Subject i receive an initial dose D i at time 0 and serum concentrations
(y ij ) are measured at time (t ij ). Serum concentration is modeled by a
first-order one compartment model. Then,
where
y ij =
D i ka i ke i
Cl i (ka i − ke i )
ke i is the elimination rate of subject i,
ka i is the absortion rate of subject i,
Cl i is the clearance of subject i.
(e −ke i t ij
− e −ka i t ij
)
+ ε ij
Sminaire ”Statistique et Sant Publique”, Bordeaux - 8 novembre 2005, p.37