Theoretical modeling of endovascular drug delivery into a multilayer arterial wall from a drug-coated balloon

Jain, A., McGinty, S. , Pontrelli, G. and Zhou, L. (2022) Theoretical modeling of endovascular drug delivery into a multilayer arterial wall from a drug-coated balloon. International Journal of Heat and Mass Transfer, 187, 122572. (doi: 10.1016/j.ijheatmasstransfer.2022.122572)

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Abstract

Drug-coated balloons (DCBs) are used commonly for delivering drug into diseased arteries. When applied on the inner surface of an artery, drug is transported from the balloon into the multilayer arterial wall through diffusion and advection, where it is ultimately absorbed through binding reactions. Mathematical modeling of these mass transport processes has the potential to help understand and optimize balloon-based drug delivery, thereby ensuring both safety and efficacy. The present work derives a closed-form solution for the multilayer cylindrical convection-diffusion-reaction (CDR) transport problem that occurs in balloon-based endovascular drug delivery. The model is presented for an arbitrary number of layers, and accounts for various transport processes in terms of relevant non-dimensional numbers. Quasi-orthogonality for this multilayer problem is derived. Closed-form expressions for the amounts of drug delivered by the balloon, bound in each arterial layer and lost from the external surfaces are derived. It is shown that only a small fraction of drug from the balloon is actually delivered into the artery during the short exposure time, which is influenced strongly by the diffusion coefficient of the inner-most layer. Further, binding of the drug is found to depend strongly on the reaction coefficient, expressed in terms of the Damköhler number. It is shown that boundary conditions on the inner and outer surfaces, expressed in terms of Sherwood numbers, play a role in drug uptake over a longer time period. The model is general enough to be applicable for a wide variety of scenarios and operational conditions, including an arbitrary number of layers. Results from this work provide fundamental insights into drug transport and uptake processes. In addition, these results may help improve the safety and efficacy of balloon-based drug delivery.

Item Type:Articles
Additional Information:Funding from the European Research Council under the European Union Horizon 2020 Framework Programme (No. FP/2014-2020) ERC Grant Agreement No. 739964 (COPMAT) is acknowledged. This work is also partially supported by Italian MIUR (PRIN 2017 project: Mathematics of active materials: from mechanobiology to smart devices, project number 2017KL4EF3).
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Mcginty, Dr Sean
Creator Roles:
McGinty, S.Conceptualization, Methodology, Formal analysis, Validation, Writing – original draft, Writing – review and editing
Authors: Jain, A., McGinty, S., Pontrelli, G., and Zhou, L.
College/School:College of Science and Engineering > School of Engineering > Biomedical Engineering
Journal Name:International Journal of Heat and Mass Transfer
Publisher:Elsevier
ISSN:0017-9310
ISSN (Online):1879-2189
Published Online:05 February 2022
Copyright Holders:Copyright © 2022 Elsevier Ltd.
First Published:First published in International Journal of Heat and Mass Transfer 187: 122572
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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