ReviewPharmaceutics2019
Mathematical Modeling of Release Kinetics from Supramolecular Drug Delivery Systems.
Review in Pharmaceutics, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 163 papers.
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Who cites it
163 citing papers in PubMed.
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- Enhancement of the Solubility and Dissolution Profile of Rivaroxaban by the Antisolvent Precipitation Technique: A Promising Approach.Polymers · 2026Article
- Nanostructured Lipid Carriers Enhance Ciprofloxacin Antibacterial Activity Through Diffusion-Controlled Release and Modulation of Bacterial Growth Kinetics.Pharmaceutics · 2026Article
- Development and Formulation of Nanofiber-Based Ophthalmic Inserts for the Treatment of Fungal Keratitis.Pharmaceutics · 2026Article
- N-Succinylated Canonical vs. Dehydropeptides: Contrasting Self-Assembly Pathways and Hydrogel Properties.Gels (Basel, Switzerland) · 2026Article
- AI-driven nanomedicine for cancer theranostics.Molecular cancer · 2026Review
- In Vitro Evaluation of Poly(D,L-lactide-co-glycolide) In Situ Gels and Pharmacokinetics Following Subcutaneous Injection in Rats for Model Drugs.Pharmaceutics · 2026Article
- Synergistic combinatorial anticancer potential of Tamoxifen with Naringin and Diosmetin in MCF-7 breast cancer cells and their liposomal delivery.Scientific reports · 2026Article
- Polymeric β-cyclodextrin/alginate/RSC advances · 2025Article
- Anticancer efficacy of albumin nanoparticles co-loaded with silver nanoparticles and 5FU in animal model of colon cancer.Scientific reports · 2025Article
- Tacrolimus-Loaded Superabsorbent Hydrogels: Formulation, Evaluation, and Therapeutic Potential.ACS omega · 2025Article
- Wax-Based Sustained-Release Felodipine Oral Dosage Forms Manufactured Using Hot-Melt Extrusion and Their Resistance to Alcohol-Induced Dose Dumping.Pharmaceutics · 2025Article
103 more citing papers are in PubMed but not listed here.
Corrections and comments
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Authors and funding
9 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Embedding of active substances in supramolecular systems has as the main goal to ensure the controlled release of the active ingredients. Whatever the final architecture or entrapment mechanism, modeling of release is challenging due to the moving boundary conditions and complex initial conditions. Despite huge diversity of formulations, diffusion phenomena are involved in practically all release processes. The approach in this paper starts, therefore, from mathematical methods for solving the diffusion equation in initial and boundary conditions, which are further connected with phenomenological conditions, simplified and idealized in order to lead to problems which can be analytically solved. Consequently, the release models are classified starting from the geometry of diffusion domain, initial conditions, and conditions on frontiers. Taking into account that practically all solutions of the models use the separation of variables method and integral transformation method, two specific applications of these methods are included. This paper suggests that "good modeling practice" of release kinetics consists essentially of identifying the most appropriate mathematical conditions corresponding to implied physicochemical phenomena. However, in most of the cases, models can be written but analytical solutions for these models cannot be obtained. Consequently, empiric models remain the first choice, and they receive an important place in the review.
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