Live haemodynamic model

Adjust · watch the gradient split
Flow & pressure along the outflow tract
LVleft ventricle
Vena contractapeak velocity
Asc. aortarecovery zone
Doppler max ΔP
64mmHg
4v² at the vena contracta
Pressure recovery
16mmHg
reconverted downstream
Net gradient (catheter-equivalent)
48mmHg
the true LV-to-aorta pressure drop
Doppler 64
Catheter 48
Peak jet velocity4.0m/s
Effective orifice area (EOA)0.90cm²
Ascending aorta diameter28mm
30 mm · recovery threshold
Below ~30 mm, pressure recovery becomes clinically relevant.
1

The physics: it is an energy story

01

Squeeze → speed up

Blood forced through the narrow orifice accelerates sharply. By conservation of energy, this surge of kinetic energy comes at the cost of pressure — pressure is lowest exactly where velocity peaks, at the vena contracta.

02

Downstream turbulence wastes energy

As the jet exits into the wider aorta it decelerates. Some kinetic energy is lost forever as heat and turbulence — an abrupt, wide expansion is turbulent and wasteful. That lost energy can never come back as pressure.

03

…but some pressure recovers

Whatever kinetic energy is not lost to turbulence is reconverted back into pressure as flow slows down. This rise in measured static pressure downstream is pressure recovery. The smoother and smaller the aorta, the more recovers.

This is why the two numbers differ. Continuous-wave Doppler samples the peak velocity right at the vena contracta and reports 4v² — the maximum pressure drop, before any recovery. A catheter pullback measures LV pressure minus the recovered aortic pressure — the net gradient. Neither is wrong; they are reading different points on the same pressure curve.

2

When pressure recovery actually matters

In most adults with a dilated ascending aorta, recovery is small and safely ignored. It becomes clinically important — and can lead to overestimation of stenosis severity by Doppler — in these settings:

Small ascending aorta (< 30 mm)

The single most important determinant. A narrow aorta gives orderly, low-turbulence deceleration, so a larger share of kinetic energy is reconverted to pressure. This is the threshold the guideline flags.

Congenital & bicuspid AS

Highlighted by the guideline as a setting where recovery is particularly relevant — often younger patients with a smaller, non-dilated aorta and a doming valve.

Children & small adults

With a smaller body and aorta, moderate stenosis can look severe by gradient alone. Recovery-corrected indices matter most here to avoid over-calling severity.

Bileaflet mechanical valves

Flow through the central slot of a bileaflet mechanical prosthesis produces localised high velocities and pronounced recovery, a classic cause of falsely elevated Doppler prosthetic gradients.

3

Quantifying & correcting for it

Recovered pressure gradient
How much pressure comes back
PR = 4v² · 2·(EOA/AoA) · (1 − EOA/AoA)
Recovery scales with the ratio of valve area (EOA) to aortic cross-sectional area (AoA). A small aorta pushes EOA/AoA up and, with it, the recovered pressure. Subtract PR from 4v² to get the net gradient.
Energy loss index (ELI)
Recovery-corrected effective area
ELI = [ AoA · EOA / (AoA − EOA) ] / BSA
Corrects the continuity-equation valve area for what the aorta gives back, indexed to body size. In a small aorta the ELI runs higher than the raw EOA — i.e. the stenosis is genuinely less severe than the plain area suggests.

A quick, robust safeguard needs no aortic area at all: the velocity ratio (dimensionless index) = VTILVOT / VTIAV. Because it is a ratio of the same flow, it is inherently recovery-insensitive; a value < 0.25 indicates severe AS. Note that outcome-validated cut-offs for the recovery-corrected indices remain limited — the guideline treats them as adjuncts, not replacements.

Take-home for the report

References

  1. Baumgartner H, Hung J, Bermejo J, et al. Recommendations on the Echocardiographic Assessment of Aortic Valve Stenosis: A Focused Update. J Am Soc Echocardiogr 2017;30(4):372–392 (EACVI/ASE). — pressure-recovery formula, <30 mm aorta, ELI, velocity ratio.
  2. Garcia D, Pibarot P, Dumesnil JG, et al. Assessment of aortic valve stenosis severity: a new index based on the energy loss concept. Circulation 2000;101:765–771. — energy loss coefficient / index derivation.
  3. Baumgartner H, Stefenelli T, Niederberger J, et al. "Overestimation" of catheter gradients by Doppler ultrasound in patients with aortic stenosis: a predictable manifestation of pressure recovery. J Am Coll Cardiol 1999;33:1655–1661.