Mathematical Modeling in Drug Delivery

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

Deadline for manuscript submissions: 10 June 2024 | Viewed by 1456

Special Issue Editor


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Guest Editor
Mechanical Engineering, School of Engineering and Natural Sciences, University of Iceland, Hjardarhaga 2-6, 107 Reykjavik, Iceland
Interests: trandermal drug delivery; finite element modeling; diffusive transport; controlled drug release; prosthetics

Special Issue Information

Dear Colleagues,

Medical devices that release drugs in a controlled manner provide targeted drug delivery and can reduce adverse side effects. Mathematical modeling plays an important role in the design process as it can be used to study various design parameters and, hence, significantly reduce the expensive experimentation required for the optimization of such devices. Mathematical modeling relies on the careful representation of the physical situation and requires a thorough understanding of drug release kinetics, as well as mathematical expressions and modeling tools. Numerious mathematical models have been described in the literature in the past and solved either analytically or numerically; however, there are still many challenges that need to be overcome in order for a mathematical model to be an accurate and easy-to-use tool in the design of medical devices.

This Special Issue serves as a forum to bring together scientists in the field of the mathematical modeling of drug delivery. Both review and original articles are invited.

Prof. Dr. Fjóla Jónsdóttir
Guest Editor

Manuscript Submission Information

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Keywords

  • mathematical modeling
  • drug delivery
  • controlled release system
  • drug release mechanism
  • numerical model
  • mass transport
  • diffusion
  • dissolution
  • mass transfer coefficient
  • partition coefficient

Published Papers (1 paper)

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Research

20 pages, 5222 KiB  
Article
Unraveling Drug Delivery from Cyclodextrin Polymer-Coated Breast Implants: Integrating a Unidirectional Diffusion Mathematical Model with COMSOL Simulations
by Jacobo Hernandez-Montelongo, Javiera Salazar-Araya, Elizabeth Mas-Hernández, Douglas Soares Oliveira and Juan Paulo Garcia-Sandoval
Pharmaceutics 2024, 16(4), 486; https://doi.org/10.3390/pharmaceutics16040486 - 2 Apr 2024
Viewed by 786
Abstract
Breast cancer ranks among the most commonly diagnosed cancers worldwide and bears the highest mortality rate. As an integral component of cancer treatment, mastectomy entails the complete removal of the affected breast. Typically, breast reconstruction, involving the use of silicone implants (augmentation mammaplasty), [...] Read more.
Breast cancer ranks among the most commonly diagnosed cancers worldwide and bears the highest mortality rate. As an integral component of cancer treatment, mastectomy entails the complete removal of the affected breast. Typically, breast reconstruction, involving the use of silicone implants (augmentation mammaplasty), is employed to address the aftermath of mastectomy. To mitigate postoperative risks associated with mammaplasty, such as capsular contracture or bacterial infections, the functionalization of breast implants with coatings of cyclodextrin polymers as drug delivery systems represents an excellent alternative. In this context, our work focuses on the application of a mathematical model for simulating drug release from breast implants coated with cyclodextrin polymers. The proposed model considers a unidirectional diffusion process following Fick’s second law, which was solved using the orthogonal collocation method, a numerical technique employed to approximate solutions for ordinary and partial differential equations. We conducted simulations to obtain release profiles for three therapeutic molecules: pirfenidone, used for preventing capsular contracture; rose Bengal, an anticancer agent; and the antimicrobial peptide KR-12. Furthermore, we calculated the diffusion profiles of these drugs through the cyclodextrin polymers, determining parameters related to diffusivity, solute solid–liquid partition coefficients, and the Sherwood number. Finally, integrating these parameters in COMSOL multiphysics simulations, the unidirectional diffusion mathematical model was validated. Full article
(This article belongs to the Special Issue Mathematical Modeling in Drug Delivery)
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