Individualization of a pharmacokinetic model by fractional and nonlinear fit improvement.
Eur J Drug Metab Pharmacokinet
; 38(1): 69-76, 2013 Mar.
Article
en En
| MEDLINE
| ID: mdl-22618469
This study presents application of a new linear and nonlinear fractional derivative two compartmental model to the evaluation of individual pharmacokinetics. In the model, the integer order derivatives are replaced by derivatives of real order. A specific nonlinear function is used for the fit improvement of a fractional derivative two compartmental model with the mass balance conservation. The agreement of the values predicted by the proposed model with the values obtained through experiments with bumetanide tablets in human volunteers is shown to be good. Thus, pharmacokinetics of bumetanide can be described well by a linear or a nonlinear two compartmental model with fractional derivatives of the same order proposed here. Parameters in the model are determined by the least squares method and the particle swarm optimization numerical procedure is used. The results show that the linear fractional order two compartmental model for bumetanide is useful improvement of the classical (integer order) two compartmental model and that the nonlinear fractional order model is useful improvement of the linear model in a great number of volunteers.
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Bumetanida
/
Modelos Lineales
/
Dinámicas no Lineales
/
Diuréticos
/
Modelos Biológicos
Tipo de estudio:
Prognostic_studies
Límite:
Humans
Idioma:
En
Revista:
Eur J Drug Metab Pharmacokinet
Año:
2013
Tipo del documento:
Article
Pais de publicación:
Francia