Hydrodynamic Modeling of Cerebrospinal Fluid Motion Within the Spinal Cavity

[+] Author and Article Information
Francis Loth

Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60607

M. Atif Yardimci

Advanced Engineering Design Center, CRTS, Baxter International, Round Lake, IL 60606

Noam Alperin

Department of Radiology, University of Illinois at Chicago, Chicago, IL 60607

J Biomech Eng 123(1), 71-79 (Sep 13, 2000) (9 pages) doi:10.1115/1.1336144 History: Received September 13, 1999; Revised September 13, 2000
Copyright © 2001 by ASME
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Spinal canal geometry viewed from the front and side where thin and thick lines represent the spinal cavity and cord dimensions, respectively. Scale indicates distance from the base of the skull in centimeters.
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Cross-sectional geometry of the spinal cavity. Note: position indicated is measured from the base of the skull in centimeters.
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Distribution of hydraulic diameter and cross-sectional area along the spinal canal
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CSF flow waveform obtained through phase contrast MR on a healthy human subject
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Distribution of peak Reynolds number (based on spatially average velocity) and hydraulic diameter along the spinal canal
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Pressure gradient time trace for the circular annulus (outer radius=10 mm)
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Wall shear stress acting on the spinal cord during the cardiac cycle for circular annulus
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Velocity profiles for the circular annulus at different times during the cycle (external and internal radius are 10 and 3 mm, respectively, α=16)
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Velocity profiles for the circular annulus at different times during the cycle (external and internal radius are 10 and 9 mm, respectively, α=2.3)
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Computational grids for elliptic spinal cavity and circular spinal cord with and without eccentricity: LEFT = concentric, RIGHT = eccentric
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Velocity distributions for an elliptic outer wall and concentric circular spinal cord at four time points during the cardiac cycle (α=7.6): A=peak flow at systole, B=deceleration end systole, C=near zero flow after systole, D=reverse flow during diastole
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The peak velocity distribution for eccentric circular/elliptic spinal boundaries (α=7.6)
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Peak pressure gradient (Pa/mm) multiplied by flow area (mm2) as a function of flow area for the circular annulus
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Phase-contrast MRI images of the CSF pulsatile flow during systole [LEFT] and diastole [RIGHT] along with the corresponding velocity profile. The velocity profile is anterior-to-posterior at the location indicated by a white dotted line. Note that the CSF image has been rotated by 90 deg from the previous orientation in Figs. 2 and 10.




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