ArticleJournal of pharmacokinetics and pharmacodynamics2010
Fractional compartmental models and multi-term Mittag-Leffler response functions.
Article in Journal of pharmacokinetics and pharmacodynamics, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
11 citing papers in PubMed.
- CMINNs: Compartment model informed neural networks - Unlocking drug dynamics.Computers in biology and medicine · 2025Article
- Two compartmental fractional derivative model with general fractional derivative.Journal of pharmacokinetics and pharmacodynamics · 2023Review
- Article
- Fractional calculus in pharmacokinetics.Journal of pharmacokinetics and pharmacodynamics · 2018Article
- Exponential tails of drug disposition curves: reality or appearance?Journal of pharmacokinetics and pharmacodynamics · 2014Article
- 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
- Simulation of Drug Uptake in a Two Compartmental Fractional Model for a Biological System.Communications in nonlinear science & numerical simulation · 2011Article
- A nonlinear two compartmental fractional derivative model.European journal of drug metabolism and pharmacokinetics · 2011Article
- Fractional kinetics in multi-compartmental systems.Journal of pharmacokinetics and pharmacodynamics · 2010Article
- Fractional dynamics pharmacokinetics-pharmacodynamic models.Journal of pharmacokinetics and pharmacodynamics · 2010Article
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Abstract
Systems of fractional differential equations (SFDE) have been increasingly used to represent physical and control system, and have been recently proposed for use in pharmacokinetics (PK) by (J Pharmacokinet Pharmacodyn 36:165-178, 2009) and (J Phamacokinet Pharmacodyn, 2010). We contribute to the development of a theory for the use of SFDE in PK by, first, further clarifying the nature of systems of FDE, and in particular point out the distinction and properties of commensurate versus non-commensurate ones. The second purpose is to show that for both types of systems, relatively simple response functions can be derived which satisfy the requirements to represent single-input/single-output PK experiments. The response functions are composed of sums of single- (for commensurate) or two-parameters (for non-commensurate) Mittag-Leffler functions, and establish a direct correspondence with the familiar sums of exponentials used in PK.
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