title: Local identifiability for two and three-compartment pharmacokinetic models with time-lags.
abstract: In this paper, we show that time-lags between compartments in a 2 and 3 compartment pharmacokinetic model may be taken into account but that separate identification for model parameters and for time-lags would not be suitable. Furthermore, it may happen that a time-lag model is locally identifiable while the corresponding model without delay is not. For two-compartment delayed models, with only one observation, it is not necessary to have two different inputs contrary to the case without time-lag. Both the Laplace transformation and a Jacobian matrix are used in an identifiability study. For all two-compartment models we have investigated which kind of parameters or lags are identifiable from amount (Q) or concentration (C) measures.
authors.affiliation: Equipe de cinétique des Xénobiotiques and Laboratoire de Pharmacocinétique et toxicologie clinique: CHU de Rangueil, Toulouse, France.
authors.forename: J A
authors.initials: JA
authors.lastname: Merino
authors.forename: J
authors.initials: J
authors.lastname: De Biasi
authors.forename: Y
authors.initials: Y
authors.lastname: Plusquellec
authors.forename: G
authors.initials: G
authors.lastname: Houin
mesh_terms: D006801:Humans; D016014:Linear Models; D008433:Mathematics; D008954:Models, Biological; D010599:Pharmacokinetics