ArticleJournal of pharmacokinetics and pharmacodynamics2018
Fractional calculus in pharmacokinetics.
Article in Journal of pharmacokinetics and pharmacodynamics, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers, 1 of them a synthesis that pooled it.
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Who cites it
13 citing papers in PubMed, 1 synthesis or guideline pooled it.
- Comparison of the gamma-Pareto convolution with conventional methods of characterising metformin pharmacokinetics in dogs.Journal of pharmacokinetics and pharmacodynamics · 2020Pooled it
- A Physics Informed Neural Network (PINN) framework for fractional order modeling of Alzheimer's disease.Frontiers in neuroinformatics · 2026Article
- Modeling drug retention as memory effects in obese patients using fractional and augmented models.Scientific reports · 2025Article
- 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
- Two compartmental fractional derivative model with general fractional derivative.Journal of pharmacokinetics and pharmacodynamics · 2023Review
- Kinetic modelling of sterol transport between plasma membrane and endo-lysosomes based on quantitative fluorescence and X-ray imaging data.Frontiers in cell and developmental biology · 2023Article
- Diffusion through skin in the light of a fractional derivative approach: progress and challenges.Journal of pharmacokinetics and pharmacodynamics · 2021Review
- A Minimal PKPD Interaction Model for Evaluating Synergy Effects of Combined NSCLC Therapies.Journal of clinical medicine · 2020Article
- Clinical Application of Pharmacokinetics: Basis for Rational Dose Selection in a Critically Ill Patient on Renal Replacement Therapy.European journal of drug metabolism and pharmacokinetics · 2019Article
- On an Unphysical Hypothesis of Bateman Equation and its Implications for Pharmacokinetics.Pharmaceutical research · 2019Article
- Panos Macheras: a pioneering scientist in pharmaceutical science.Journal of pharmacokinetics and pharmacodynamics · 2019Article
- The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel.Advances in difference equations · 2018Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We are witnessing the birth of a new variety of pharmacokinetics where non-integer-order differential equations are employed to study the time course of drugs in the body: this is dubbed "fractional pharmacokinetics". The presence of fractional kinetics has important clinical implications such as the lack of a half-life, observed, for example with the drug amiodarone and the associated irregular accumulation patterns following constant and multiple-dose administration. Building models that accurately reflect this behaviour is essential for the design of less toxic and more effective drug administration protocols and devices. This article introduces the readers to the theory of fractional pharmacokinetics and the research challenges that arise. After a short introduction to the concepts of fractional calculus, and the main applications that have appeared in literature up to date, we address two important aspects. First, numerical methods that allow us to simulate fractional order systems accurately and second, optimal control methodologies that can be used to design dosing regimens to individuals and populations.
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28975496What OpenQuestion holds
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.