Biomaterial Database

Local identifiability for two and three-compartment pharmacokinetic models with time-lags. 1998

J A Merino, and J De Biasi, and Y Plusquellec, and G Houin

Equipe de cinétique des Xénobiotiques and Laboratoire de Pharmacocinétique et toxicologie clinique: CHU de Rangueil, Toulouse, France.

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.

UI	MeSH Term	Description	Entries
D008433	Mathematics	The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed)	Mathematic
D008954	Models, Biological	Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment.	Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D010599	Pharmacokinetics	Dynamic and kinetic mechanisms of exogenous chemical DRUG LIBERATION; ABSORPTION; BIOLOGICAL TRANSPORT; TISSUE DISTRIBUTION; BIOTRANSFORMATION; elimination; and DRUG TOXICITY as a function of dosage, and rate of METABOLISM. LADMER, ADME and ADMET are abbreviations for liberation, absorption, distribution, metabolism, elimination, and toxicology.	ADME,ADME-Tox,ADMET,Absorption, Distribution, Metabolism, Elimination, and Toxicology,Absorption, Distribution, Metabolism, and Elimination,Drug Kinetics,Kinetics, Drug,LADMER,Liberation, Absorption, Distribution, Metabolism, Elimination, and Response
D006801	Humans	Members of the species Homo sapiens.	Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D016014	Linear Models	Statistical models in which the value of a parameter for a given value of a factor is assumed to be equal to a + bx, where a and b are constants. The models predict a linear regression.	Linear Regression,Log-Linear Models,Models, Linear,Linear Model,Linear Regressions,Log Linear Models,Log-Linear Model,Model, Linear,Model, Log-Linear,Models, Log-Linear,Regression, Linear,Regressions, Linear