ReviewJournal of pharmacokinetics and pharmacodynamics2023
Two compartmental fractional derivative model with general fractional derivative.
Review in Journal of pharmacokinetics and pharmacodynamics, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed, 26 citations in OpenAlex.
- Silver Release Diffusion Modeling and Biological Performance of Poly(Vinyl Alcohol)/Alginate Hydrogels with Embedded Silver Nanoparticles.Molecules (Basel, Switzerland) · 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
- General Nonlocal Probability of Arbitrary Order.Entropy (Basel, Switzerland) · 2023Article
Corrections and comments
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Authors and funding
3 authors at 3 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
This study presents a new two compartmental model with, recently defined General fractional derivative. We review that concept of General fractional derivative and use the kernel function that generalizes the classical Caputo derivative in a mathematically consistent way. Next we use this model to study the release of antibiotic gentamicin in poly (vinyl alcohol)/gentamicin(PVA/Gent) hydrogel aimed for wound dressing in medical treatment of deep chronical wounds. The PVA/Gent hydrogel was prepared by physical cross linking of poly (vinyl alcohol) dispersion using freezing-thawing method, and then was swollen in gentamicin solution at 37 °C during 48 h. The concentration of released gentamicin was determined using a high-performance liquid chromatography coupled with mass spectrometer. The advantage of this model is the existence of new parameters in the definition of fractional derivative, as compared with classical fractional compartmental models. The model proposed here in the special case reduces to the classical (integer order) linear two compartmental model as well as classical fractional order two compartmental model since it has more parameters that are determined from the experimental results.
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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.