Mathematical Modeling of Polymer-Based Drug Delivery Systems: Mechanisms and Applications

A special issue of Pharmaceutics (ISSN 1999-4923). This special issue belongs to the section "Drug Delivery and Controlled Release".

Deadline for manuscript submissions: 31 May 2025 | Viewed by 1729

Special Issue Editor

Special Issue Information

Dear Colleagues,

In recent years, a wide range of theoretical models have been developed to describe drug release mechanisms.

The first types of models are empirical and semi-empirical models. The most used ones are the zero-order model, Higuchi model, Hixson–Crowell model, Korsmeyer–Peppas model, first-order model, etc. There are also kinetic models, based on the usual conservation laws, developed on spaces with integer dimensions, or kinetic models, based on the conservation laws, developed on spaces with a non-integer dimension, explicitly written through fractional derivatives. Recently, a new generation of theoretical models has arisen, based on scale relativity, either with the monofractal dynamics, as in the case of Nottale, or with the multifractal dynamics, as is the case for the Multifractal Theory of Motion.

(1) Introduction, including scientific background and highlighting the importance of this research area.

We are pleased to invite you to submit your manuscript(s) to Pharmaceutics for a Special Issue entitled “Mathematical Modeling of Polymer-Based Drug Delivery Systems: Mechanisms and Applications” with open access.

(2) Aim of the Special Issue and how the subject relates to the journal scope. Please make sure that your Special Issue is in the scope of the journal. You can check the scope in the journal menu: Aims & Scope. Additionally, the scope should not be too broad or too narrow. The aim is to have a collection of at least 10 articles, and the Special Issue may be printed in book form if this number is reached.

This Special Issue aims to present the main mathematical models employed in polymer-based drug delivery, in correlation with possible experimental approaches and applications.

(3) Suggested themes and article types for submissions.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but not limited to) the following:

  • Classical drug delivery models;
  • Fractal drug delivery models;
  • Fractional derivatives models;
  • Holographic-type models;
  • Deep learning models;
  • Operational procedures employed in drug delivery models: invariance groups, differential geometries, embedding spaces, dimensions compactification, etc.

We look forward to receiving insightful contributions.

Prof. Dr. Maricel Agop
Guest Editor

Manuscript Submission Information

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Keywords

  • polymers
  • drug delivery
  • mathematical model
  • experimental data

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Published Papers (1 paper)

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11 pages, 716 KiB  
Article
Experimental and Theoretical Design on the Development of Matrix Tablets with Multiple Drug Loadings Aimed at Optimizing Antidiabetic Medication
by Mousa Sha’at, Lacramioara Ochiuz, Cristina Marcela Rusu, Maricel Agop, Alexandra Barsan (Bujor), Monica Stamate Cretan, Mihaela Hartan and Adrian Florin Spac
Pharmaceutics 2024, 16(12), 1595; https://doi.org/10.3390/pharmaceutics16121595 - 14 Dec 2024
Viewed by 1334
Abstract
Background: Diabetes is a growing global health crisis that requires effective therapeutic strategies to optimize treatment outcomes. This study aims to address this challenge by developing and characterizing extended-release polymeric matrix tablets containing metformin hydrochloride (M-HCl), a first-line treatment for type 2 diabetes, [...] Read more.
Background: Diabetes is a growing global health crisis that requires effective therapeutic strategies to optimize treatment outcomes. This study aims to address this challenge by developing and characterizing extended-release polymeric matrix tablets containing metformin hydrochloride (M-HCl), a first-line treatment for type 2 diabetes, and honokiol (HNK), a bioactive compound with potential therapeutic benefits. The objective is to enhance glycemic control and overall therapeutic outcomes through an innovative dual-drug delivery system. Methods: The tablets were formulated using hydrophilic polymers, such as Carbopol® 71G NF and Noveon® AA-1. The release kinetics of M-HCl and HNK were investigated through advanced mathematical models, including fractal and multifractal dynamics, to capture the non-linear and time-dependent release processes. Traditional kinetic models (zero-order, first-order, Higuchi equations) were also evaluated for comparison. In vitro dissolution studies were conducted to determine the release profiles of the active ingredients under varying polymer concentrations. Results: The study revealed distinct release profiles for the two active ingredients. M-HCl exhibited a rapid release phase, with 80% of the drug released within 4–7 h depending on polymer concentration. In contrast, HNK demonstrated a slower release profile, achieving 80% release after 9–10 h, indicating a greater sensitivity to polymer concentration. At shorter intervals, drug release followed classical kinetic models, while multifractal dynamics dominated at longer intervals. Higher polymer concentrations resulted in slower drug release rates due to the formation of a gel-like structure upon hydration, which hindered drug diffusion. The mechanical properties and stability of the matrix tablets confirmed their suitability for extended-release applications. Mathematical modeling validated the experimental findings and provided insights into the structural and time-dependent factors influencing drug release. Conclusions: This study successfully developed dual-drug extended-release matrix tablets containing metformin hydrochloride and honokiol, highlighting the potential of hydrophilic polymers to regulate drug release. The findings emphasize the utility of advanced mathematical models for predicting release kinetics and underscore the potential of these formulations to improve patient compliance and therapeutic outcomes in diabetes management. Full article
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