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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                                                                                                                         

Keywords

Abstract


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.

© 2020 MIM Research Group. All rights reserved.

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22/02/2021 Indexed by InfoBase Index: We are informed that our journal is accepted to be included in the InfoBase Index. 


11/02/2021 Collaboration for ULIBTK 2021: Editorial Board of our journal and Organizing Committee of the 23. Congress on Thermal Science and Technology (ULIBTK 2021) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


31/12/2020 Most Cited Award: 

According to the Editorial Board evaluation, the paper authored by Nelson Batista, Rui Melicio, Victor Mendes entitled as “Darrieus vertical axis wind turbines: methodology to study the self-start capabilities considering symmetric and asymmetric airfoils" is awarded the 2020 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM).


31/12/2020 Best Paper Award:

According to the Advisory Board decision, the paper authored by Marcelo Mesquita do Amaral, Matheus Wanglon Ferreira and Mauro de Vasconcellos Real entitled as “A simplified method for analysis of reinforced concrete beams exposed to fire situation” is awarded the 2020 Best Paper Award of Research on Engineering Structures and Materials (RESM).


02/11/2020 Indexed by SCOPUS: We are informed that our journal is accepted to be included in the SCOPUS Index. See news for more info.


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


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LATEST AWARDS


2020 Most Cited Paper Award:

The paper authored by Nelson Batista, Rui Melicio, Victor Mendes entitled as “Darrieus vertical axis wind turbines: methodology to study the self-start capabilities considering symmetric and asymmetric airfoils" is awarded the


2020 Best Paper Award:

The paper authored by Ahsen Ünal, Işıl Özer, Melek Erol Taygun, Sadriye Küçükbayrak entitled as “Fabrication and in-vitro evaluation of copper doped bioactive glass/polymer composite scaffolds for bone tissue engineering” is awarded the 


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Last Update:

01.04.2021

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