ArticleJournal of pharmacokinetics and pharmacodynamics2010
Fractional dynamics pharmacokinetics-pharmacodynamic models.
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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Who cites it
11 citing papers in PubMed.
- Investigating the Osteoprotective Potential of Holoptelia integrefolia through Multitarget Modulation of Bone Metabolic Pathways.Applied biochemistry and biotechnology · 2026Article
- CMINNs: Compartment model informed neural networks - Unlocking drug dynamics.Computers in biology and medicine · 2025Article
- Implementation of non-linear mixed effects models defined by fractional differential equations.Journal of pharmacokinetics and pharmacodynamics · 2023Article
- Delayed logistic indirect response models: realization of oscillating behavior.Journal of pharmacokinetics and pharmacodynamics · 2018Article
- Fractional calculus in pharmacokinetics.Journal of pharmacokinetics and pharmacodynamics · 2018Article
- Quantitative Systems Pharmacology: A Framework for Context.Current pharmacology reports · 2016Article
- 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
- A nonlinear two compartmental fractional derivative model.European journal of drug metabolism and pharmacokinetics · 2011Article
- The changing face of the rate concept in biopharmaceutical sciences: from classical to fractal and finally to fractional.Pharmaceutical research · 2011Article
- Fractional kinetics in multi-compartmental systems.Journal of pharmacokinetics and pharmacodynamics · 2010Article
Corrections and comments
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Authors and funding
1 author.
Funding
Abstract
While an increasing number of fractional order integrals and differential equations applications have been reported in the physics, signal processing, engineering and bioengineering literatures, little attention has been paid to this class of models in the pharmacokinetics-pharmacodynamic (PKPD) literature. One of the reasons is computational: while the analytical solution of fractional differential equations is available in special cases, it this turns out that even the simplest PKPD models that can be constructed using fractional calculus do not allow an analytical solution. In this paper, we first introduce new families of PKPD models incorporating fractional order integrals and differential equations, and, second, exemplify and investigate their qualitative behavior. The families represent extensions of frequently used PK link and PD direct and indirect action models, using the tools of fractional calculus. In addition the PD models can be a function of a variable, the active drug, which can smoothly transition from concentration to exposure, to hyper-exposure, according to a fractional integral transformation. To investigate the behavior of the models we propose, we implement numerical algorithms for fractional integration and for the numerical solution of a system of fractional differential equations. For simplicity, in our investigation we concentrate on the pharmacodynamic side of the models, assuming standard (integer order) pharmacokinetics.
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Registered trials
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.