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Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls

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Abstract

The majority of heart attacks occur when there is a sudden rupture of atherosclerotic plaque, exposing prothrombotic emboli to coronary blood flow, forming clots that can cause blockages of the arterial lumen. Diseased arteries can be treated with drugs delivered locally to vulnerable plaques. The objective of this work was to develop a computational tool-set to support the design and analysis of a catheter-based nanoparticulate drug delivery system to treat vulnerable plaques and diffuse atherosclerosis. A three-dimensional mathematical model of coupled mass transport of drug and drug-encapsulated nanoparticles was developed and solved numerically utilizing isogeometric finite element analysis. Simulations were run on a patient-specific multilayered coronary artery wall segment with a vulnerable plaque and the effect of artery and plaque inhomogeneity was analyzed. The method captured trends observed in local drug delivery and demonstrated potential for optimizing drug design parameters, including delivery location, nanoparticle surface properties, and drug release rate.

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Authors and Affiliations

  1. Institute for Computational Engineering and Sciences, The University of Texas at Austin, 1 University Station, C0200, Austin, TX, 78712, USA

    Shaolie S. Hossain & Thomas J. R. Hughes

  2. New Business Venture, Abbott Vascular, MS 232, 3200, Lakeside Drive, Santa Clara, CA, 95054, USA

    Syed F. A. Hossainy

  3. Department of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093, USA

    Yuri Bazilevs

  4. Applied Mathematics and Computational Science, King Abdullah University of Science & Technology, Thuwal, 23955-6900, Kingdom of Saudi Arabia

    Victor M. Calo

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  1. Shaolie S. Hossain
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  2. Syed F. A. Hossainy
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Correspondence to Shaolie S. Hossain.

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Hossain, S.S., Hossainy, S.F.A., Bazilevs, Y. et al. Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls. Comput Mech 49, 213–242 (2012). https://doi.org/10.1007/s00466-011-0633-2

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  • DOI: https://doi.org/10.1007/s00466-011-0633-2

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