ArticleJournal of pharmacokinetics and pharmacodynamics2015
Closed form solutions and dominant elimination pathways of simultaneous first-order and Michaelis-Menten kinetics.
Article in Journal of pharmacokinetics and pharmacodynamics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Depot-central synchronization of a pharmacokinetic model with capacity-limited saturable absorption.Journal of pharmacokinetics and pharmacodynamics · 2026Article
- Statistical analysis of one-compartment pharmacokinetic models with drug adherence.Journal of pharmacokinetics and pharmacodynamics · 2022Article
- Constant infusion case of one compartment pharmacokinetic model with simultaneous first-order and Michaelis-Menten elimination: analytical solution and drug exposure formula.Journal of pharmacokinetics and pharmacodynamics · 2021Article
- Oral drug delivery systems using core-shell structure additive manufacturing technologies: a proof-of-concept study.The Journal of pharmacy and pharmacology · 2021Article
- Mathematical analysis and drug exposure evaluation of pharmacokinetic models with endogenous production and simultaneous first-order and Michaelis-Menten elimination: the case of single dose.Journal of pharmacokinetics and pharmacodynamics · 2018Article
- Impact of saturable distribution in compartmental PK models: dynamics and practical use.Journal of pharmacokinetics and pharmacodynamics · 2017Article
- Steady-state volume of distribution of two-compartment models with simultaneous linear and saturated elimination.Journal of pharmacokinetics and pharmacodynamics · 2016Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The current study aims to provide the closed form solutions of one-compartment open models exhibiting simultaneous linear and nonlinear Michaelis-Menten elimination kinetics for single- and multiple-dose intravenous bolus administrations. It can be shown that the elimination half-time ([Formula: see text]) has a dose-dependent property and is upper-bounded by [Formula: see text] of the first-order elimination model. We further analytically distinguish the dominant role of different elimination pathways in terms of model parameters. Moreover, for the case of multiple-dose intravenous bolus administration, the existence and local stability of the periodic solution at steady state are established. The closed form solutions of the models are obtained through a newly introduced function motivated by the Lambert W function.
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Registered trials
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