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TECHNICAL PAPERS

Frequency Dependence of Dynamic Curvature Effects on Flow Through Coronary Arteries

[+] Author and Article Information
James E. Moore, Erlend S. Weydahl, Aland Santamarina

Mechanical Engineering Department, Biomedical Engineering Institute, Florida International University, 10555 West Flagler Street, Miami, FL 33174

J Biomech Eng 123(2), 129-133 (Nov 01, 2000) (5 pages) doi:10.1115/1.1351806 History: Received February 01, 2000; Revised November 01, 2000
Copyright © 2001 by ASME
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References

Ku,  D. N., Giddens,  D. P., Zarins,  C. K., and Glagov,  S., 1985, “Pulsatile Flow and Atherosclerosis in the Human Carotid Bifurcation: Positive Correlation Between Plaque Location and Low and Oscillating Shear Stress,” Arteriosclerosis (Dallas), 5, No. 3, pp. 293–302.
Moore,  J. E., Xu,  C., Glagov,  S., Zarins,  C. K., and Ku,  D. N., 1994, “Fluid Wall Shear Stress Measurements in a Model of the Human Abdominal Aorta: Oscillatory Behavior and the Relationship to Atherosclerosis. ” Atherosclerosis (Berlin), 110, pp. 225–240.
Moore,  J. E., Guggenheim,  N., Delfino,  A., Doriot,  P. A., Dorsaz,  P. A., Rutishauser,  W., and Meister,  J. J., 1994, “Preliminary Analysis of the Effects of Blood Vessel Movement on Blood Flow Patterns in the Coronary Arteries,” ASME J. Biomech. Eng., 116, pp. 302–306.
Delfino,  A., Moore,  J. E., and Meister,  J. J., 1994, “Lateral Deformation and Movement Effects on Flow Through Distensible Tube Models of Blood Vessels,” Biorheology, 31, No. 5, pp. 533–547.
Schilt,  S., Moore,  J. E., Delfino,  A., and Meister,  J. J., 1996, “The Effects of Time-Varying Curvature on Velocity Profiles in a Model of the Coronary Arteries,” J. Biomech., 29, No. 4, pp. 469–474.
Lynch,  D. G., Waters,  S. L., and Pedley,  T. J., 1996, “Flow in a Tube With Non-Uniform, Time-Dependent Curvature: Governing Equations and Simple Examples,” J. Fluid Mech., 323, pp 237–265.
Santamarina,  A., Weydahl,  E., Siegel,  J. M., and Moore,  J. E., 1998, “Computational Analysis of Flow in a Curved Tube Model of the Coronary Arteries: Effects of Time-Varying Curvature,” Ann. Biomed. Eng., 26, No. 6, pp. 944–954.
Gross, M. F., Vanfossen, D. B., and Friedman, M. H., 1996, “Curvature Changes of the Left Anterior Descending Coronary Artery During the Cardiac Cycle,” Proc. ASME IMECE, Atlanta, ASME BED-Vol. 33, pp. 463–464.
Pao,  Y. C., Lu,  J. T., and Ritman,  E. L., 1992, “Bending and Twisting of an In Vivo Coronary Artery at a Bifurcation,” J. Biomech., 25, pp. 287–295.
Caro, C., Pedley, T. J., Schroter, R. C., and Seed, W. A., 1978, The Mechanics of the Circulation, Oxford University Press, Oxford.

Figures

Grahic Jump Location
Illustration of the deforming curved tube flow situation of interest. The entry to the tube was fixed and the radius of curvature was varied sinusoidally in time. The computational mesh is shown at left.
Grahic Jump Location
Radius of curvature as a function of time for a coronary artery as measured by bi-planar angiography, adapted from Gross et al. 8. A Fourier transform of the waveform is shown in the inset. The magnitudes have been normalized with respect to the mean radius of curvature.
Grahic Jump Location
Wall shear rate as a function of axial position at the (a) inner wall of curvature, (b) mid wall, and (c) outer wall at four different points in time for the case δ=0.08, ε=50 percent. The radius of curvature was a cosine function of time, so t=0 corresponds to the maximum radius of curvature, and T is the period.
Grahic Jump Location
Normalized wall shear rate amplitude (NWSRA) versus axial position for the (a) inner wall of curvature, (b) mid-wall, and (c) outer wall for the case δ=0.08, ε=50 percent. The greatest variation in shear rate was at the mid wall of curvature for the deformation frequency of 5 Hz.
Grahic Jump Location
Maximum inner wall NWSRA found within the first ten tube diameters as a function of the dimensionless group εδα. Data from both the 1 Hz (solid diamonds) and 5 Hz (hollow circles) simulations are included. The effects of dynamic curvature were found to scale well with this parameter.

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