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Updated: May 28, 2026

Noninvasive Determination of Vortex Formation Time Using Transesophageal Echocardiography During Cardiac Surgery
Published on: November 28, 2018
Nonconvective forces: a critical and often ignored component in the echocardiographic assessment of transvalvular
Michael S Firstenberg1, Erik E Abel, Thomas J Papadimos
1Division of Cardiac Surgery, The Ohio State University Medical Center, Columbus, OH 43210, USA.
Insights
Echocardiography uses Doppler-derived velocity to assess heart function, but simplified equations like the modified Bernoulli equation can lead to miscalculations. Understanding fluid dynamics principles and their limitations is crucial for accurate cardiac pressure gradient assessment.
Area of Science:
- Cardiology
- Medical Imaging
- Fluid Dynamics
Background:
- Echocardiography is vital for assessing cardiac function, especially in hemodynamically compromised patients.
- Quantitative Doppler echocardiography provides crucial blood flow velocity data.
- Simplified equations are commonly used to estimate pressure gradients from Doppler data.
Purpose of the Study:
- To review the principles of fluid dynamics applied in clinical echocardiography.
- To highlight the limitations of the simplified Bernoulli equation in calculating intracardiac pressure gradients.
- To emphasize the importance of understanding underlying assumptions for accurate clinical application.
Main Methods:
- Review of fluid dynamics principles relevant to echocardiography.
- Analysis of the assumptions inherent in the modified Bernoulli equation.
- Discussion of potential sources of error in clinical practice.
Main Results:
- The modified Bernoulli equation relies on assumptions that may not always hold true.
- Misapplication or misunderstanding of these assumptions can lead to significant errors in pressure gradient calculations.
- Clinical interpretation requires awareness of these limitations.
Conclusions:
- Accurate assessment of intracardiac pressure gradients using echocardiography requires a thorough understanding of fluid dynamics.
- The limitations of the simplified Bernoulli equation must be recognized to avoid miscalculations.
- Clinicians should be aware of the assumptions and potential pitfalls in routine echocardiographic analysis.
Abstract:
Echocardiography is routinely used to assess ventricular and valvular function, particularly in patients with known or suspected cardiac disease and who have evidence of hemodynamic compromise. A cornerstone to the use of echocardiographic imaging is not only the qualitative assessment, but also the quantitative Doppler-derived velocity characteristics of intracardiac blood flow. While simplified equations, such as the modified Bernoulli equation, are used to estimate intracardiac pressure gradients based upon Doppler velocity data, these modified equations are based upon assumptions of the varying contributions of the different forces that contribute to blood flow. Unfortunately, the assumptions can result in significant miscalculations in determining a gradient if not completely understood or they are misapplied. We briefly summarize the principles of fluid dynamics that are used clinically with some of the inherent limitations of routine broad application of the simplified Bernoulli equation.
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