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Pulsatile arterial wall-blood flow interaction with wall pre-stress computed using an inverse algorithm.

Ashish Das, Anup Paul, Michael D Taylor

    Biomedical Engineering Online
    |January 21, 2015
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    This study developed an inverse algorithm to calculate arterial wall pre-stress, crucial for accurate blood flow simulations. Results show higher longitudinal stresses in the canine femoral artery under physiologic conditions.

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    Area of Science:

    • Biomechanics
    • Computational Fluid Dynamics
    • Biomedical Engineering

    Background:

    • Accurate simulation of arterial wall deformation and stress requires accounting for in-vivo pre-stress.
    • In-vivo arterial wall motion is influenced by surrounding tissue tethering and average pressure, creating pre-stress.
    • Calculating arterial pre-stress is challenging due to the unknown unloaded, untethered arterial geometry.

    Purpose of the Study:

    • To develop and validate an inverse algorithm for computing in-vivo arterial wall pre-stress.
    • To accurately simulate canine femoral artery deformation and stresses under pulsatile pressure by incorporating pre-stress.

    Main Methods:

    • An inverse algorithm based on nonlinear least squares optimization was employed to determine the unloaded, untethered arterial geometry.
    • The computed geometry was pre-stressed using mean in-vivo pressure (104.5 mmHg) and axial stretch (48%).
    • A Mooney-Rivlin model described the incompressible arterial wall material properties.

    Main Results:

    • The inverse algorithm successfully computed the unloaded, untethered arterial geometry.
    • Pre-stressed arterial dimensions closely matched in-vivo measurements.
    • Longitudinal stresses were 42.5% higher than circumferential stresses under physiologic pulsatile pressure.

    Conclusions:

    • An inverse method effectively computed physiologic pre-stress in arterial walls.
    • Incorporating in-vivo axial stretch and pressure loading revealed higher longitudinal wall stresses.