Time Scale Calculus: a new approach to multi-dose pharmacokinetic modeling.
J Pharmacokinet Pharmacodyn
; 2024 Jul 25.
Article
em En
| MEDLINE
| ID: mdl-39060788
ABSTRACT
In this paper, we use Time Scale Calculus (TSC) to formulate and solve pharmacokinetic models exploring multiple dose dynamics. TSC is a mathematical framework that allows the modeling of dynamical systems comprising continuous and discrete processes. This characteristic makes TSC particularly suited for multi-dose pharmacokinetic problems, which inherently feature a blend of continuous processes (such as absorption, metabolization, and elimination) and discrete events (drug intake). We use this toolkit to derive analytical expressions for blood concentration trajectories under various multi-dose regimens across several flagship pharmacokinetic models. We demonstrate that this mathematical framework furnishes an alternative and simplified way to model and retrieve analytical solutions for multi-dose dynamics. For instance, it enables the study of blood concentration responses to arbitrary dose regimens and facilitates the characterization of the long-term behavior of the solutions, such as their steady state.
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
J Pharmacokinet Pharmacodyn
Assunto da revista:
FARMACOLOGIA
Ano de publicação:
2024
Tipo de documento:
Article
País de afiliação:
Colômbia
País de publicação:
Estados Unidos