Unraveling Drug Delivery from Cyclodextrin Polymer-Coated Breast Implants: Integrating a Unidirectional Diffusion Mathematical Model with COMSOL Simulations

Author:

Hernandez-Montelongo Jacobo12ORCID,Salazar-Araya Javiera3,Mas-Hernández Elizabeth45ORCID,Oliveira Douglas Soares6ORCID,Garcia-Sandoval Juan Paulo7

Affiliation:

1. Department of Physical and Mathematical Sciences, Catholic University of Temuco, Temuco 4813302, Chile

2. Department of Translational Bioengineering, University of Guadalajara, Guadalajara 44430, Mexico

3. Department of Mathematics and Statistics, University of La Frontera, Temuco 4811230, Chile

4. Faculty of Chemistry, Autonomous University of Queretaro, Campus Pedro Escobedo, Queretaro 76700, Mexico

5. Department of Mathematical Engineering, University of La Frontera, Temuco 4811230, Chile

6. Jandaia do Sul Advanced Campus, Federal University of Parana, Jandaia do Sul 86900-000, PR, Brazil

7. Department of Chemical Engineering, University of Guadalajara, Guadalajara 44430, Mexico

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), 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.

Funder

FONDECYT, Chile

ANID Fondecyt Postdoctoral

Publisher

MDPI AG

Reference37 articles.

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