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Review Article

Mathematical modelling of drug release

Aykut Elmas1, Güliz Akyüz1, Ayhan Bergal1Müberra Andaç1,2, Ömer Andaç1,2

1Department of Nanoscience and Nanotechnology, Ondokuz Mayis University, Samsun, Turkey   2Department of Chemistry, Ondokuz Mayis University, Samsun, Turkey                                                                                                                         



Drug release;

Drug Delivery;

Mathematical Modelling;

Controlled Release

Mathematical models of the drug release have been used in the drug delivery (DD) field for more than 50 years by the scientists in the drug development process. These models not only help scientists to learn the dynamics of the drugs release, but also help them to save money and time by helping to design more effective experiments. There is no model in the literature that covers all drug release scenarios. Also, some system-specific models have complex mathematical equations and these models are not suitable for general use. Zero Order Model, First Order Model, Higuchi Model, Peppas Model and Hixon Crowell Model are used in 85% of drug release studies in total. The popularity of these models comes from their simplicity, easy mathematical expressions and implementation. In this review, mathematical derivations of these five models are shown in detail. The points to be considered during the derivation and the problems that may be encountered are carefully explained along with their solutions. In addition, the application of the models to drug release data and the points to be considered were obtained by writing from the scratch without using any ready software while obtaining the fit function. In this way, many problems are better understood, and their solutions are explained. Finally, the obtained fit functions are interpreted.

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8/12/2023 Special Issue: Embark on a journey of innovation with the journal of Research on Engineering Structures and Materials as we unveil a compelling opportunity for contributors in our upcoming special issue, "Design, Analysis, and Manufacturing of Composite Vehicle Structures." Led by distinguished Guest Editors Liubov Gavva and Oleg Mitrofanov from Moscow Aviation Institute. For more info see the link.

21/10/2023 Journal Submission System Upgrade Completed: We're delighted to announce that our Journal Submission and Tracking System has undergone a significant upgrade, aimed at enhancing your experience. We apologize for the delay, and any inconvenience it may have caused. Here are the key enhancements from a user perspective:

Improvements are designed to make your interaction with our journal smoother and more efficient. Please take the upgraded system for a spin and share your thoughts with us. If you encounter any issues or have questions, please don't hesitate to reach out to our support team.

27/12/2022 Reviewer AwardsThe winners of 2022 reviewer awards of Research on Engineering Structures and Materials (RESM) are announced. More information can be found at Reviewer Awards section. 

(More details of the news may be given in the News section)

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2022 Reviewer Awards:

Please, visit Reviewer Awards section for the winners of the 2022 RESM reviewer awards.

2022 Best Paper Award:

The paper authored by Nitin Kumar, Michele Barbato, Erika L. Rengifo-López and Fabio Matta entitled as “Capabilities and limitations of existing finite element simplified micro-modeling techniques for unreinforced masonry” is awarded the 

2022 Most Cited Paper Award:

The paper authored by Aykut Elmas, Güliz Akyüz, Ayhan Bergal, Müberra Andaç and Ömer Andaç entitled as “Mathematical modelling of drug release" is awarded the


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