Spatial effects in modeling pharmacokinetics of rapid action drugs.
We develop a model to describe the time course of plasma concentration of neuromuscular blocking agents used as anesthetics during surgery. This model, which overcomes the limitations of the classical compartment models routinely used in pharmacokinetics, incorporates spatial effects due to heterogeneity in the circulation: it takes the form of a dispersion equation on a circular domain, with a time-dependent leakage term. This term is fitted to the functional form desired once first-stage transients have died out. Comparisons are made with clinical data by adjusting three parameters in the model.
Lafrance
Patrick
P
Département de mathématiques et de statistique, Université de Montréal, C.P. 6128, succursale centre-ville, Montréal, Québec, H3C 3J7, Canada.
Lemaire
Vincent
V
Varin
France
F
Donati
François
F
Bélair
Jacques
J
Nekka
Fahima
F
D001825:Body Fluid Compartments; D006801:Humans; D007546:Isoquinolines / Q000097:blood / Q000493:pharmacokinetics; D008954:Models, Biological; D009467:Neuromuscular Depolarizing Agents / Q000097:blood / Q000493:pharmacokinetics; D010599:Pharmacokinetics; D014673:Vecuronium Bromide / Q000097:blood / Q000493:pharmacokinetics
D007546:Isoquinolines; D009467:Neuromuscular Depolarizing Agents; D014673:Vecuronium Bromide; C049429:doxacurium