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Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions

Annals of Biomedical Engineering volume 28, pages 1281–1299 (2000)Cite this article

Abstract

Blood flow in the large systemic arteries is modeled using one-dimensional equations derived from the axisymmetric Navier–Stokes equations for flow in compliant and tapering vessels. The arterial tree is truncated after the first few generations of large arteries with the remaining small arteries and arterioles providing outflow boundary conditions for the large arteries. By modeling the small arteries and arterioles as a structured tree, a semi-analytical approach based on a linearized version of the governing equations can be used to derive an expression for the root impedance of the structured tree in the frequency domain. In the time domain, this provides the proper outflow boundary condition. The structured tree is a binary asymmetric tree in which the radii of the daughter vessels are scaled linearly with the radius of the parent vessel. Blood flow and pressure in the large vessels are computed as functions of time and axial distance within each of the arteries. Comparison between the simulations and magnetic resonance measurements in the ascending aorta and nine peripheral locations in one individual shows excellent agreement between the two. © 2000 Biomedical Engineering Society.

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Authors and Affiliations

  1. Department of Mathematics and Center for BioDynamics, Boston University, 111 Cummington Street, Boston, Massachusetts

    Mette S. Olufsen

  2. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York

    Charles S. Peskin

  3. Department of Cardiothoracic and Vascular Surgery and MR-Center, Institute for Experimental and Clinical Research, Skejby Sygehus, Aarhus University Hospital, 8200, Aarhus N, Denmark

    Won Yong Kim & Erik M. Pedersen

  4. Department of Aerospace and Mechanical Engineering and Center for BioDynamics, Boston University, 110 Cummington Street, Boston, Massachusetts

    Ali Nadim

  5. Math-Tech Inc., Admiralgade 22, 1066, Copenhagen, Denmark

    Jesper Larsen

Authors
  1. Mette S. Olufsen
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  2. Charles S. Peskin
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  3. Won Yong Kim
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  4. Erik M. Pedersen
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  5. Ali Nadim
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  6. Jesper Larsen
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Olufsen, M.S., Peskin, C.S., Kim, W.Y. et al. Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions. Annals of Biomedical Engineering 28, 1281–1299 (2000). https://doi.org/10.1114/1.1326031

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