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Integrated Stent Models Based on Dimension Reduction: Review and Future Perspectives

  • Medical Stents: State of the Art and Future Directions
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Abstract

Stent modeling represents a challenging task from both the theoretical and numerical viewpoints, due to its multi-physics nature and to the complex geometrical configuration of these devices. In this light, dimensional model reduction enables a comprehensive geometrical and physical description of stenting at affordable computational costs. In this work, we aim at reviewing dimensional model reduction of stent mechanics and drug release. Firstly, we address model reduction techniques for the description of stent mechanics, aiming to illustrate how a three-dimensional stent model can be transformed into a collection of interconnected one-dimensional rods, called a “stent net”. Secondly, we review available model reduction methods similarly applied to drug release, in which the “stent net” concept is adopted for modeling of drug elution. As a result, drug eluting stents are described as a distribution of concentrated drug release sources located on a graph that fully represents the stent geometry. Lastly, new results about the extension of these model reduction approaches to biodegradable stents are also discussed.

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Authors and Affiliations

  1. Department of Mechanical Engineering and Materials Science, University of Pittsburgh, 604 Benedum Hall, 3700 O’Hara street, Pittsburgh, 15261, PA, USA

    Paolo Zunino

  2. MOX, Modeling and Scientific Computing, Department of Mathematics, Politecnico di Milano, Milan, Italy

    Paolo Zunino & Luca Formaggia

  3. Department of Mathematics, University of Zagreb, Zagreb, Croatia

    Josip Tambača

  4. Laboratory of Biological Structure Mechanics, Department of Chemistry, Materials and Chemical Engineering ‘Giulio Natta’, Politecnico di Milano, Milan, Italy

    Elena Cutrì & Francesco Migliavacca

  5. Department of Mathematics, University of Houston, Houston, 77204, TX, USA

    Suncica Čanić

Authors
  1. Paolo Zunino
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  2. Josip Tambača
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  3. Elena Cutrì
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  4. Suncica Čanić
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  5. Luca Formaggia
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  6. Francesco Migliavacca
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Correspondence to Paolo Zunino.

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Associate Editor Sean McGinty oversaw the review of this article.

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Zunino, P., Tambača, J., Cutrì, E. et al. Integrated Stent Models Based on Dimension Reduction: Review and Future Perspectives. Ann Biomed Eng 44, 604–617 (2016). https://doi.org/10.1007/s10439-015-1459-4

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