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NURBS modeling and structural shape optimization of cardiovascular stents

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Abstract

Cardiovascular stents have been used since the 1990s to treat atherosclerosis, one of leading causes of death in the western world, and structural optimization has led to significant improvements in stent performance. Much of the potential variation in stent geometry, however, has remained unconsidered. This paper presents a non-uniform rational basis spline (NURBS) parameterization of a stent, the inclusion of structural fatigue resistance as a design consideration, and the results of a design optimization based on response surface techniques. Results show the feasibility and merits of the NURBS approach, which models a much broader range of shapes than was previously possible. Multi-objective optimization produces a range of geometrically diverse Pareto-optimal designs; these can be used to develop future clinical design guides, accounting for the variation observed across patients. We conclude by motivating future work with increasingly complex physical modeling and optimization capabilities.

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Notes

  1. The flexibility of diseased blood vessels is, to the best of the authors’ knowledge., not well established in the literature. Certain studies, e.g. Xiang et al. (2008); Shen et al. (2008), indicate values in the range of [1, 30] × 10− 4 mm / mmHg.

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Acknowledgments

The authors wish to thank Dr. Brendan Cunniffe, formerly of Medtronic Vascular, Galway, Ireland, for his help on this project.

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Authors and Affiliations

  1. Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Rory Clune

  2. University College Cork, Cork, Ireland

    Denis Kelliher

  3. Kepler Engineering Software Ltd., National SoftwareCentre, Mahon, Cork, Ireland

    James C. Robinson & John S. Campbell

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  1. Rory Clune
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  2. Denis Kelliher
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  3. James C. Robinson
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  4. John S. Campbell
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Correspondence to Rory Clune.

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Clune, R., Kelliher, D., Robinson, J.C. et al. NURBS modeling and structural shape optimization of cardiovascular stents. Struct Multidisc Optim 50, 159–168 (2014). https://doi.org/10.1007/s00158-013-1038-y

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  • DOI: https://doi.org/10.1007/s00158-013-1038-y

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