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Fast and Accurate Pressure-Drop Prediction in Straightened Atherosclerotic Coronary Arteries

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Abstract

Atherosclerotic disease progression in coronary arteries is influenced by wall shear stress. To compute patient-specific wall shear stress, computational fluid dynamics (CFD) is required. In this study we propose a method for computing the pressure-drop in regions proximal and distal to a plaque, which can serve as a boundary condition in CFD. As a first step towards exploring the proposed method we investigated ten straightened coronary arteries. First, the flow fields were calculated with CFD and velocity profiles were fitted on the results. Second, the Navier–Stokes equation was simplified and solved with the found velocity profiles to obtain a pressure-drop estimate (Δp (1)). Next, Δp (1) was compared to the pressure-drop from CFD (Δp CFD) as a validation step. Finally, the velocity profiles, and thus the pressure-drop were predicted based on geometry and flow, resulting in Δp geom. We found that Δp (1) adequately estimated Δp CFD with velocity profiles that have one free parameter β. This β was successfully related to geometry and flow, resulting in an excellent agreement between Δp CFD and Δp geom: 3.9 ± 4.9% difference at Re = 150. We showed that this method can quickly and accurately predict pressure-drop on the basis of geometry and flow in straightened coronary arteries that are mildly diseased.

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Acknowledgments

This research was performed within the framework of the CARISMA-program of STW (Stichting Wetenschap en Techniek), as well as funded by STW.

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Authors and Affiliations

  1. Department of Biomedical Engineering, Erasmus Medical Center, ’s-Gravendijkwal 230, Faculty Building, Ee 2302, 3000 CA, Rotterdam, The Netherlands

    Jelle T. C. Schrauwen, Dion J. Koeze, Jolanda J. Wentzel, Anton F. W. van der Steen & Frank J. H. Gijsen

  2. Department of Biomedical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Frans N. van de Vosse

  3. Department of Imaging Physics, Delft University of Technology, Delft, The Netherlands

    Anton F. W. van der Steen

  4. Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen, China

    Anton F. W. van der Steen

Authors
  1. Jelle T. C. Schrauwen
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  2. Dion J. Koeze
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  3. Jolanda J. Wentzel
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  4. Frans N. van de Vosse
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  5. Anton F. W. van der Steen
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  6. Frank J. H. Gijsen
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Corresponding author

Correspondence to Jelle T. C. Schrauwen.

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Associate Editor Umberto Morbiducci oversaw the review of this article.

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Schrauwen, J.T.C., Koeze, D.J., Wentzel, J.J. et al. Fast and Accurate Pressure-Drop Prediction in Straightened Atherosclerotic Coronary Arteries. Ann Biomed Eng 43, 59–67 (2015). https://doi.org/10.1007/s10439-014-1090-9

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  • DOI: https://doi.org/10.1007/s10439-014-1090-9

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