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Effects of inflow velocity profile on two-dimensional hemodynamic analysis by ordinary and ultrasonic-measurement-integrated simulations

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Abstract

Two-dimensional ultrasonic-measurement-integrated (2D-UMI) simulation correctly reproduces hemodynamics even with an inexact inflow velocity distribution. This study aimed to investigate which is superior, a two-dimensional ordinary (2D-O) simulation with an accurate inflow velocity distribution or a 2D-UMI simulation with an inaccurate one. 2D-O and 2D-UMI simulations were performed for blood flow in a carotid artery with four upstream velocity boundary conditions: a velocity profile with backprojected measured Doppler velocities (condition A), and velocity profiles with a measured Doppler velocity distribution, a parabolic one, and a uniform one, magnitude being obtained by inflow velocity estimation (conditions B, C, and D, respectively). The error of Doppler velocity against the measurement data was sensitive to the inflow velocity distribution in the 2D-O simulation, but not in the 2D-UMI simulation with the inflow velocity estimation. Among the results in conditions B, C, and D, the error in the worst 2D-UMI simulation with condition D was 31 % of that in the best 2D-O simulation with condition B, implying the superiority of the 2D-UMI simulation with an inaccurate inflow velocity distribution over the 2D-O simulation with an exact one. Condition A resulted in a larger error than the other conditions in both the 2D-O and 2D-UMI simulations.

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Abbreviations

b :

Unit vector along the ultrasound beam

D :

Inlet diameter

e :

Error of the Doppler velocity

f :

Feedback signal

\(K_{\text{v}}^{*}\) :

Feedback gain

L :

Characteristic length

(N x , N y ):

Grid points of the computational grid

p :

Pressure

t :

Time

U :

Characteristic velocity

u = (u, v):

Velocity vector

u in :

Cross-sectional average inflow velocity

u ref :

Representative velocity for normalization

V c :

Computed Doppler velocity

V m :

Measured Doppler velocity

(x, y):

Coordinates in the computational domain

(X, Y):

Coordinates in the ultrasound color Doppler image

α :

Net ultrasound beam angle

β :

Rotation angle of the image

Δt :

Computational time increment

(Δx, Δy):

Spatial resolution of the computational grid

θ :

Ultrasound beam angle

μ :

Viscosity

ρ :

Density

τ :

Wall shear stress

Ω :

Region of interest

Ω f :

Feedback domain

Ω q :

Monitoring domain

ave:

Spatial-averaged value

- :

Time-averaged value

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Acknowledgments

Part of this study was supported by JSPS KAKENHI Grant Number 24360064 and JST Adaptable & Seamless Technology Transfer Program through Target-driven R&D (A-STEP) (AS251Z01013P). The authors thank to Mr. Tadashi Shimazaki, Mr. Takao Jibiki, and Mr. Koji Miyama at GE Healthcare Japan Corporation, for their contribution on exporting ultrasonic measurement data for hemodynamic analysis. All computations were performed using the supercomputer system at the Advanced Fluid Information (AFI) Research Center, Institute of Fluid Science, Tohoku University.

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Authors and Affiliations

  1. Graduate School of Biomedical Engineering, Tohoku University, Sendai, 980-8579, Japan

    Takaumi Kato & Shusaku Sone

  2. Institute of Fluid Science, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai, 980-8577, Japan

    Kenichi Funamoto & Toshiyuki Hayase

  3. Graduate School of Engineering, Tohoku University, Sendai, 980-8579, Japan

    Hiroko Kadowaki

  4. Jichi Medical University, Shimotsuke, Tochigi, 329-0498, Japan

    Nobuyuki Taniguchi

Authors
  1. Takaumi Kato
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  2. Shusaku Sone
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  3. Kenichi Funamoto
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  4. Toshiyuki Hayase
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  5. Hiroko Kadowaki
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  6. Nobuyuki Taniguchi
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Correspondence to Kenichi Funamoto.

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Kato, T., Sone, S., Funamoto, K. et al. Effects of inflow velocity profile on two-dimensional hemodynamic analysis by ordinary and ultrasonic-measurement-integrated simulations. Med Biol Eng Comput 54, 1331–1339 (2016). https://doi.org/10.1007/s11517-015-1376-6

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  • DOI: https://doi.org/10.1007/s11517-015-1376-6

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