Time Scale Calculus: a new approach to multi-dose pharmacokinetic modeling.

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

SUBMITTER: Arteaga-Bejarano JR 

PROVIDER: S-EPMC11579191 | biostudies-literature | 2024 Dec

REPOSITORIES: biostudies-literature