ArticleEuropean journal of drug metabolism and pharmacokinetics2011
A nonlinear two compartmental fractional derivative model.
Article in European journal of drug metabolism and pharmacokinetics, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed, 28 citations in OpenAlex.
- A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative.Scientific reports · 2026Article
- Two compartmental fractional derivative model with general fractional derivative.Journal of pharmacokinetics and pharmacodynamics · 2023Review
- Fractional calculus in pharmacokinetics.Journal of pharmacokinetics and pharmacodynamics · 2018Article
- How to avoid unbounded drug accumulation with fractional pharmacokinetics.Journal of pharmacokinetics and pharmacodynamics · 2013Article
- Individualization of a pharmacokinetic model by fractional and nonlinear fit improvement.European journal of drug metabolism and pharmacokinetics · 2013Article
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Authors and funding
6 authors at 2 institutions in 1 country.
Funding
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Abstract
This study presents a new nonlinear two compartmental model and its application to the evaluation of valproic acid (VPA) pharmacokinetics in human volunteers after oral administration. We have used literature VPA concentrations. In the model, the integer order derivatives are replaced by derivatives of real order often called fractional order derivatives. Physically that means that the history (memory) of a biological process, realized as a transfer from one compartment to another, is taken into account with the mass balance conservation observed. Our contribution is the analysis of a specific nonlinear two compartmental model with the application in evaluation of VPA pharmacokinetics. The agreement of the values predicted by the proposed model with the values obtained through experiments is shown to be good. Thus, pharmacokinetics of VPA after oral application can be described well by 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 (PSO) numerical procedure is used. The results show that the nonlinear fractional order two compartmental model for VPA pharmacokinetics is superior in comparison to the classical (integer order) linear two compartmental model and to the linear fractional order two compartmental model.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.