Probing Flow Energetics
Belén Casas1,2

1Division of Cardiovascular Medicine, Department of Medical and Health Sciences, Linköping University, Linköping, Sweden, 2Center for Medical Image Science and Visualization (CMIV), Linköping University, Linköping, Sweden

Synopsis

Valvular and vascular diseases are accompanied by abnormal flow that results in energy losses. These energy losses can provide valuable information about the impact of the disease on cardiac afterload and thereby stress on the myocardium. Recent advances in PC-MRI have given the opportunity to quantify several measures of energy loss that could be valuable for diagnosis purposes. This presentation will give an overview of current MRI-derived measures of energy loss relevant for assessing valve performance and cardiac function. The limitations and potential sources of error of these measures will also be discussed.

Target audience

Those with an interest in non-invasive quantification of energy losses related to valvular and vascular diseases.

Objectives

  • To review the concept of energy loss when applied to evaluate valvular diseases and cardiac function.
  • To give an overview of current PC-MRI-based approaches for non-invasive quantification of energy losses.
  • To review the limitations and potential sources of error in the previous approaches.

Purpose

Several valvular and vascular diseases, such as aortic stenosis and aortic coarctation, are accompanied by energy losses. Blood flow over a stenosis is dominated by jet flow, characterized by a high velocity jet followed by an area with turbulent velocity fluctuations and small eddies. Kinetic energy is dissipated into heat mainly due to turbulence and, to a lesser extent, viscosity. This represents an irreversible loss of energy, causing an increase in cardiac afterload and hence stress on the myocardium [1]. The aim of this presentation is to review current MRI-derived measures of energy loss relevant for assessing valve performance and cardiac function, discussing their limitations and potential sources of error.

Methods

Phase-contrast magnetic resonance imaging (PC-MRI) has gained increasing importance in quantifying blood flow in the heart, heart valves and great vessels. With three-dimensional (3D) cine (time-resolved) phase-contrast MRI with three-directional velocity-encoding (4D flow MRI), it is possible to determine velocity fields over a volume of interest in clinically feasible scan times [2]. More importantly, a 4D Flow MRI acquisition provides information to quantify several measures related to energy loss, which could provide additional information for assessing valve performance and cardiac function.

Results

The gold standard for obtaining the left ventricular load associated with aortic stenosis is measuring the transstenotic pressure gradient by invasive catheterization. In the clinical setting, this gradient is estimated from the simplified Bernoulli equation using Doppler measurements of the velocity at the valve [3]. However, this approximation is known to overestimate the actual pressure gradient across the stenosis [4]. Modifications of the simplified Bernoulli equation have been proposed, which take geometric factors into consideration [5]. Data from a conventional 4D Flow MRI acquisition allow estimation of several energy loss measurements. These include turbulent kinetic energy (TKE), which is a measure of turbulence intensity [6], and viscous energy losses [1]. More recently, other authors have developed approaches to quantify the total turbulent production of the flow using 4D Flow MRI [7]. Several studies have investigated the accuracy and the dependence on image settings of these parameters [8,9].

Discussion and Conclusions

The methods discussed here provide different measures of energy loss that can be applicable to several valvular and vascular pathologies. Since these measures are non-invasive, as opposed to the gold standard measurement of pressure gradients, they could possibly enhance diagnosis and improve understanding of the impact of these pathologies on ventricular function.

Acknowledgements

No acknowledgement found.

References

1 Barker, A. J. et al. Viscous energy loss in the presence of abnormal aortic flow. Magnetic Resonance in Medicine 72, 620-628,(2014).

2 Dyverfeldt, P. et al. 4D flow cardiovascular magnetic resonance consensus statement. Journal of Cardiovascular Magnetic Resonance 17, 1-19,(2015).

3 Hatle, L., Angelsen, B. A. & Tromsdal, A. Non-invasive assessment of aortic stenosis by Doppler ultrasound. British Heart Journal 43, 284-292,(1980).

4 Baumgartner, H., Stefenelli, T., Niederberger, J., Schima, H. & Maurer, G. " Overestimation " of catheter gradients by doppler ultrasound in patients with aortic stenosis: a predictable manifestation of pressure recovery. J Am Coll Cardiol 33, 1655 - 1661,(1999).

5 Garcia, D., Pibarot, P., Sakr, F., Durand, L. G. & Dumesnil, J. G. Assessment of aortic valve stenosis severity: A new index based on the energy loss concept. Circulation 101, 765-771,(2000).

6 Dyverfeldt, P., Gårdhagen, R., Sigfridsson, A., Karlsson, M. & Ebbers, T. On MRI turbulence quantification. Magnetic Resonance Imaging 27, 913-922,(2009).

7 Ha, H. et al. Estimating the irreversible pressure drop across a stenosis by quantifying turbulence production using 4D Flow MRI. Scientific Reports 7, 46618,(2017).

8 Ha, H. et al. Assessment of turbulent viscous stress using ICOSA 4D Flow MRI for prediction of hemodynamic blood damage. Scientific Reports 6, 39773,(2016).

9 Casas, B., Lantz, J., Dyverfeldt, P. & Ebbers, T. 4D Flow MRI‐based pressure loss estimation in stenotic flows: Evaluation using numerical simulations. Magnetic Resonance in Medicine 75, 1808-1821,(2016).

Proc. Intl. Soc. Mag. Reson. Med. 26 (2018)