Effects of Valve Characteristics on the Accuracy of the Bernoulli Equation: A Survey of Data Submitted to the U.S. FDA Sandy F.C. Stewart, Bruce A. Herman, Diane M. Nell, Stephen M. Retta |
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Background and aim of the study: In 1988, valve
manufacturers petitioned the U. S. Food & Drug Administration (FDA)
to replace catheter with Doppler ultrasound measurements of pressure
gradient (DP) in clinical studies. Manufacturers agreed to submit bench
data validating the Bernoulli equation used to calculate DP: DP = K(Vd2
- Vp2), where K = constant, Vd = distal Doppler velocity, and Vp = proximal
Doppler velocity. Previous studies suggest that K may vary from the idealized
4.0, which could lead to incorrect valve assessment and clinical errors. |
to be dependent on valve type (p <0.0001), blood-mimicking
fluid (p <0.0001) and DPTP (p <0.0001), but not valve size. At
DPTP = 30 mm, K = 3.43 ± 0.56, 5.15 ± 0.81, and 4.81 ± 1.02,
for bileaflet, stented and stentless valves, respectively. K averaged
10% less using the 100-mm DPTP, due to pressure recovery. Variations
due to blood-mimicking fluid were likely related to the fluid density. |
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