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Annals of Biomedical Engineering

, Volume 34, Issue 6, pp 958–970 | Cite as

Near-Wall Deposition Probability of Blood Elements as A New Hemodynamic Wall Parameter

  • Min-Cheol Kim
  • Jin Hyun Nam
  • Chong-Sun Lee
Original Paper

The present study was performed to investigate deposition probability of blood particles on the vessel walls. To track dynamics of movement and adhesion of blood particles in the near wall region, two models such as the particle rolling model (PR-model) and the near wall force model (NWF-model) were employed in the present study. Simulations of the present models for the pre-activated platelets in the stagnated point flow chamber and for the pre-activated monocytes in the stenotic perfusion tube resulted in significant correlations with the experimental data. The proposed near wall deposition probability (NWDP) index exhibited good fits with the experimental data of the stagnation point flow chamber for the platelet. As for the monocyte, the NWDP index exhibited the best fit with the experimental data of the stenotic tube. The new hemodynamic index, NWDP, is different from the wall shear stress (WSS)-based hemodynamic parameters, such as MWSS (Mean Wall Shear Stress), AWSS (Amplitude of Wall Shear Stress), and OSI (Oscillatory Shear Index) in that it locates regions of both the high and low WSS. The proposed NWDP index needs to be tested and compared in real geometries for its effectiveness in locating regions of lesion-prone sites.

Keywords

NWDP (Near-wall deposition probability) Particle deposition model Platelet Monocyte Particle trajectory Computer simulation Hemodynamics 

NOMENCLATURE

a

ratio of correction factors c 1 and c 2 in NWDP index

A

area (m2)

Ap

contact area of the particle on the wall (m2)

b1

constant in Eq. (8)

b2

constant in Eq. (8)

c1

correction factor of t m to fit with actual movement of the particle

c2

correction factor of t a to fit with actual adhesion of the particle

d

diameter (m)

dp

particle diameter (m)

h

distance from the horizontal plate in a stagnation flow chamber (m)

hp

distance from the center of the particle to the wall surface (m)

r

spatial coordinate in the radial direction (m)

rp

particle radius (m)

R

radius (m)

t

time (s)

ta

time scale for the adhesion of a particle (s)

tm

time scale for the movement of a particle (s)

T

pulse period (s)

U

average velocity (ms−1)

y

relative coordinate in the wall normal direction (m)

z

spatial coordinate in the axial direction (m)

Red

diameter based Reynolds number (Ud/v)

\( \alpha \)

Wormersley number \( (R\sqrt {\omega /\nu }) \)

\( \Re \)

correlation coefficient

\( \nu \)

kinematic viscosity \( ({{\eta/\rho }}) \) (m2 s−1)

\( \eta \)

dynamic viscosity (kg m−1 s−1)

\( \rho \)

fluid density (kg m−3)

\( \rho _p \)

particle density (kg m−3)

\( \omega \)

angular velocity \( ({{{2\pi}/T}}) \) (s−1)

Subscripts

 

f

fluid

p

particle

Notes

ACKNOWLEDGEMENTS

This work was conducted with the supports of Korean Ministry of Health and Welfare, 02-PJ3-PG3-31403-0004.

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.School of Mechanical and Aerospace EngineeringSeoul National UniversitySeoulKorea
  2. 2.School of Mechanical & Automotive EngineeringKookmin UniversitySeoulKorea
  3. 3.Department of Mechanical and Control EngineeringHandong Global UniversityPohangKorea
  4. 4.Professor of Department of Mechanical and Control EngineeringCE2-104, Handong Global University, Heunghae-eup, Buk-guPohangSeoulKorea

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