ArticleJournal of pharmacokinetics and pharmacodynamics2009
Fractional kinetics in drug absorption and disposition processes.
Article in Journal of pharmacokinetics and pharmacodynamics, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 27 papers.
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Who cites it
27 citing papers in PubMed.
- Optimizing breast cancer treatment strategies through fractional-order dynamics: A computational modeling approach.PloS one · 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
- Two compartmental fractional derivative model with general fractional derivative.Journal of pharmacokinetics and pharmacodynamics · 2023Review
- Anomalous kinetic study of atenolol release from ATN@DNA a core-shell like structure.Scientific reports · 2023Article
- Fractal Kinetic Implementation in Population Pharmacokinetic Modeling.Pharmaceutics · 2023Article
- Tailored Pharmacokinetic model to predict drug trapping in long-term anesthesia.Journal of advanced research · 2021Article
- Application of Deep Neural Networks as a Prescreening Tool to Assign Individualized Absorption Models in Pharmacokinetic Analysis.Pharmaceutics · 2021Article
- Diffusion through skin in the light of a fractional derivative approach: progress and challenges.Journal of pharmacokinetics and pharmacodynamics · 2021Review
- Firing activities of a fractional-order FitzHugh-Rinzel bursting neuron model and its coupled dynamics.Scientific reports · 2019Article
- Benefits of Fractal Approaches in Solid Dosage Form Development.Pharmaceutical research · 2019Review
- Monte Carlo simulations in drug release.Journal of pharmacokinetics and pharmacodynamics · 2019Review
- Panos Macheras: a pioneering scientist in pharmaceutical science.Journal of pharmacokinetics and pharmacodynamics · 2019Article
- Fractional calculus in pharmacokinetics.Journal of pharmacokinetics and pharmacodynamics · 2018Article
- The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel.Advances in difference equations · 2018Article
- Membrane capacitive memory alters spiking in neurons described by the fractional-order Hodgkin-Huxley model.PloS one · 2015Article
- 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
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2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We explore the use of fractional order differential equations for the analysis of datasets of various drug processes that present anomalous kinetics, i.e. kinetics that are non-exponential and are typically described by power-laws. A fractional differential equation corresponds to a differential equation with a derivative of fractional order. The fractional equivalents of the "zero-" and "first-order" processes are derived. The fractional zero-order process is a power-law while the fractional first-order process is a Mittag-Leffler function. The latter behaves as a stretched exponential for early times and as a power-law for later times. Applications of these two basic results for drug dissolution/release and drug disposition are presented. The fractional model of dissolution is fitted successfully to datasets taken from literature of in vivo dissolution curves. Also, the proposed pharmacokinetic model is fitted to a dataset which exhibits power-law terminal phase. The Mittag-Leffler function describes well the data for small and large time scales and presents an advantage over empirical power-laws which go to infinity as time approaches zero. The proposed approach is compared conceptually with fractal kinetics, an alternative approach to describe datasets with non exponential kinetics. Fractional kinetics offers an elegant description of anomalous kinetics, with a valid scientific basis, since it has already been applied in problems of diffusion in other fields, and describes well the data.
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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.