Introduction

Current guideline recommendations state that aortic stenosis is severe when the aortic valve area (AVA) is less than 1.0 cm2 and the mean aortic valve gradient (mAVG) exceeds 40 mm Hg [1, 2]. However, a great many patients who have an AVA less than 1.0 cm2 do not have an mAVG greater than 40 mm Hg [3]. Such patients are often labeled as having low-flow, low-gradient aortic stenosis, since the presumed mechanism for having an mAVG less than 40 mm Hg is that the flow rate across the aortic valve is reduced due to abnormal left ventricular function or reduced left ventricular chamber volume [4, 5]. Calculation of the transvalvular flow rate obviates the need for such assumptions. The mean systolic flow (MSF) rate may be calculated using echocardiography by dividing the measured stroke volume by the systolic ejection period duration [6, 7]. In the case of low-flow, low-gradient aortic stenosis with reduced MSF, provocative testing may be used to test whether the stenosis remains truly severe when the transvalvular flow rate is improved with an inotrope such as dobutamine [8]. However, when the mAVG is less than 40 mm Hg in the presence of preserved systolic flow, it is uncertain whether the stenosis should be classified as hemodynamically severe. Accordingly, we sought to determine the AVA at which mAVG tends to exceed 40 mm Hg in a sample of subjects with varied transvalvular flow rates.

Material and methods

Our institutional echocardiography database was queried using Apollo (a cardiovascular clinical data repository) for all subjects with native valve aortic stenosis who had echocardiograms performed from 2010 to 2012. The clinical outcomes from this sample of 4,546 patients were previously published [9]. From that sample, we selected 200 consecutive subjects with an AVA less than 1.0 cm2 based on the echocardiography report. Patients with severe mitral valve disease and severe aortic regurgitation were excluded. Subjects were assigned to 3 groups: (1) high gradient aortic stenosis (HGAS): mAVG > 40 mm Hg (n = 50); (2) low-gradient aortic stenosis with normal left ventricular ejection fraction (LGNEF): mAVG < 40 mm Hg, and LVEF ≥ 50% n = 100), and (3) low-gradient aortic stenosis with low left ventricular ejection fraction (LGLEF): mAVG < 40 mm Hg and left ventricular ejection fraction < 50% (n = 50).

Because LGNEF was a group of particular interest, we preferentially allocated subjects to this group. We suspected a priori that many of these subjects would have hemodynamics suggestive of moderate aortic stenosis. Two-dimensional and Doppler echocardiographic studies had been performed on commercially available ultrasound equipment (Philips iE33, Andover, Massachusetts). A single reader re-measured stroke volume, mAVG and systolic ejection time. The AVA was determined by the continuity equation. Peak and mean transvalvular pressure gradients were derived from the modified Bernoulli equation, measured in the apical 5-chamber view. The biplane Simpson’s method and the Doppler VTI method (πr2 LVOT × VTILVOT) were both used to calculate the stroke volume. Systolic ejection period (SEP) was measured from continuous-wave Doppler of the left ventricular outflow tract (LVOT). Mean systolic flow (MSF) was calculated using the formula: πr2 LVOT × VTILVOT/SEP. If mAVG or LVEF differed between the study reader and the values reported on the echo reports, the subjects were re-categorized into the appropriate group based on the study reader’s findings (Table I).

Table I

Patient characteristics and comorbidities

ParameterHigh gradient AS (n = 52) (1)LGNEF (n = 109) (2)LGLEF (n = 39) (3)P-values comparing columns
1 vs. 21 vs. 3
Characteristics:
 Age [years]78 ±1382 ±1174 ±120.060.20
 Male (%)3634560.830.06
 Height [inches]64 ±562 ±465 ±40.060.13
 Weight [pounds]163 ± 42146 ±34154 ±30.0070.29
 BMI [kg/m2]28 ±627 ±726 ±50.180.04
 SBP [mm Hg]128 ±20135 ±21120 ±210.080.04
 DBP [mm Hg]65 ±1165 ±1468 ±100.730.06
Comorbidities (%):
 Hypertension6974690.500.99
 Hyperlipidemia3237360.620.75
 Coronary artery disease3640560.640.06
 Diabetes2134360.100.12
 CVA413130.060.11
 COPD67100.720.43
 PVD24130.550.04
 Chronic kidney disease1520280.460.14

[i] n – number of subjects, LGNEF – low-gradient normal ejection fraction, LGLEF – low-gradient low ejection fraction, BMI – body mass index, SBP – systolic blood pressure, DBP – diastolic blood pressure, CVA – cerebrovascular accident, COPD – chronic obstructive pulmonary disease, PVD – peripheral vascular disease.

Medical records were reviewed for clinical characteristics and co-morbidities. Montefiore Medical Center’s Institutional Review Board approved the study.

Statistical analysis

Statistical analysis was done using Stata software, version 11 (College Station, TX). Normally distributed data were presented as the mean ± standard deviation (SD). Comparison of means was performed using the two-sample t-test. Comparison of categorical data was performed using the χ2 test. P-values were considered significant if < 0.05. Linear regression was performed to determine the relationship between MSF and mAVG. Since this relationship varied by AVA, the regression was stratified by AVA into the following 3 groups: (1) moderately severe AVA: AVA 0.80–0.99 cm2; (2) severe AVA: AVA 0.60–0.79 cm2; and (3) critical AVA: AVA < 0.60 cm2.

It should be noted that the relationship between mAVG and MSF is known not to be linear. As shown in the Gorlin equation, mAVG is related to the square of the MSF for a given AVA. AVA = MSF ÷ (44.3 × √mAVG), where 44.3 is the empirically derived discharge coefficient. Stated otherwise, mAVG = MSF2 ÷ (44.3 × AVA)2. While current guidelines define a low-flow state in terms of the stroke volume index, we chose to use MSF because it is independent of body size and because its use in the Gorlin equation demonstrates that this parameter is the key variable linking aortic valve gradient to aortic valve area.

We used linear regression because this relationship is known to be nearly linear for the range of MSF found in physiologic states and also because our intent was to simply estimate the MSF at which mAVG tended to be greater than 40 mm Hg for a given AVA.

Inter-observer variability was measured by comparing AVA measurements performed by the study investigator to those reported on the clinical reports. Variability was assessed using Bland-Altman analysis to test for bias and agreement between readers.

Results

The clinical characteristic and co-morbidities of patients in each group are listed in Table I. Among the 200 subjects, 52 patients had high-gradient aortic stenosis, 109 patients had LGNEF aortic stenosis, and 39 patients had LGLEF aortic stenosis. Compared to the HGAS group, the LGNEF group had more females, was older and had a significantly lower body surface area. The incidence of peripheral vascular disease was higher in the LGLEF group.

Table II summarizes the echocardiographic parameters of the 3 groups. Compared to the HGAS group, the LGNEF group had a significantly lower peak gradient, lower end-diastolic volume, lower stroke volume, shorter ejection time and lower MSF. Compared with the HGAS group, the LFLEF group had a lower peak gradient, higher end-diastolic volume, lower stroke volume, larger LVOT diameter, shorter ejection time, and lower MSF.

Table II

Echocardiographic parameters

ParameterHigh gradient AS (n = 52) (1)LGNEF (n = 109) (2)LGLEF (n = 39) (3)P-values comparing columns
1 vs. 21 vs. 3
Ejection fraction (%)62 ±1163 ±732 ±90.38< 0.001
Aortic valve area [cm2]0.63 ±0.150.76 ±0.120.72 ±0.16< 0.0010.008
Peak gradient [mm Hg]88 ±1846 ±1440 ±15< 0.001< 0.001
Mean gradient [mm Hg]56 ±1226 ±823 ±9< 0.001< 0.001
EDV [ml]90 ±2875 ±26131 ±46< 0.001< 0.001
SV biplane [ml]58 ±1747 ±1244 ±12< 0.001< 0.001
SV LVOT [ml]61 ±1750 ±1242 ±11< 0.001< 0.001
SVi [ml/m2]34 ±930 ±724 ±60.003< 0.001
Ejection time [ms]330 ±30310 ±40290 ±300.030< 0.001
MSF [ml/s]184 ±52159 ±37145 ±33< 0.001< 0.001
LVOT diameter [cm]1.84 ±0.221.78 ±0.211.95 ±0.190.390.03
Heart rate [beats/min]74 ±1373 ±1378 ±140.860.14

[i] n – number of subjects, AS – aortic stenosis, LGNEF – low-gradient normal ejection fraction, LGLEF – low-gradient low ejection fraction, EDV – end diastolic volume, SV biplane – stroke volume biplane Simpson’s method, LVOT – left ventricular outflow tract, MSF – mean systolic flow.

For reasons outlined earlier, linear regression was performed to determine the relationship between MSF and mAVG (Figure 1). Since this relationship varied by AVA, the 3 groups were further stratified by AVA into moderately severe AVA, severe AVA, and critical AVA. The echocardiographic parameters for each group are shown in Table III. When compared with the moderately severe AVA group, the severe AVA group had a higher peak gradient, higher mean gradient, and longer ejection time. The critical AVA group had a higher peak and mean gradient, lower stroke volume and stroke volume index, longer ejection time and lower mean systolic flow.

Table III

Echocardiographic parameters based on aortic valve area

ParameterModerately severe AS (AVA 0.8–0.99 cm2) (n = 75) (1)Severe AS (AVA 0.60–0.79 cm2) (n = 90) (2)Critical AS (AVA ≤ 0.59 cm2) (n = 35) (3)P-values comparing columns
1 vs. 21 vs. 3
Ejection fraction (%)57 ±1358 ±1552 ±150.640.11
Aortic valve area [cm2]0.86 ±0.040.69 ±0.050.46 ±0.08< 0.001< 0.001
Peak gradient [mm Hg]42 ±1861 ±2271 ±30< 0.001< 0.001
Mean gradient [mm Hg]24 ±1137 ±1543 ±19< 0.001< 0.001
EDV [ml]85 ±3395 ±4386 ±300.120.95
SV biplane [ml]48 ±1352 ±1642 ±120.080.03
SV LVOT [ml]51 ±1554 ±1441 ±90.22< 0.001
SV index (LVOT)30 ±931 ±825 ±60.670.002
Ejection time [ms]304 ±40319 ±30322 ±300.020.05
MSF [ml/s]169 ±41171 ±44129 ±290.79< 0.001
LVOT diameter [cm]1.8 ±0.211.8 ±0.231.74 ±0.180.270.10
Heart rate [beats/min]73 ±1274 ±1475 ±130.43.040

[i] n – number of subjects, AVA – aortic valve area, EDV – end diastolic volume, SV biplane – stroke volume biplane Simpson’s method, LVOT – left ventricular outflow tract, MSF – mean systolic flow.

Figure 1

Linear regression between mean systolic flow (MSF) and mean aortic valve gradient (mAVG). Solid line indicates mAVG of 40 mm Hg. Interrupted lines indicate the MSF when critical (red), severe (blue) and moderately severe (green) AVA group cross the gradient of 40 mm Hg

https://www.archivesofmedicalscience.com/f/fulltexts/118938/AMS-20-3-118938-g001_min.jpg

The MSF rate at which mAVG tended to be greater than 40 mm Hg was 120 ml/s in those with critical AVA, 183 ml/s in those with severe AVA and 257 ml/s in those with moderately severe AVA (Figure 1). When the MSF exceeded 200 ml/s, nearly all of those with critical or severe AVA had an mAVG at or near 40 mm Hg. For this reason, we chose this cutoff to represent preserved systolic flow rate.

The mAVG exceeded 40 mm Hg in 46%, 33% and 8% in those with critical, severe and moderately severe AVA, respectively. In the subset with preserved MSF, the mAVG exceeded 40 mm Hg in 100%, 75% and 21% in those with critical, severe and moderately severe AVA, respectively. All of the subjects in the severe and critical AVA group had an mAVG ≥ 37 mm Hg when MSF was preserved.

Clinical echocardiography reports tended to over-estimate AVA compared to the study reader (0.72 vs. 0.66 cm2, p < 0.001). The standard deviation of the difference between the readers was 0.12 cm2. In a normal distribution, one standard deviation accounts for 68% of all values. Therefore, in most cases (i.e. 68% of the time), the study reader and the clinical reader agreed on the AVA within 0.12 cm2. The clinical reports tended to over-estimate the SV compared to the study reader (56.9 vs. 51.1 ml, p < 0.001). The standard deviation of the mean difference between the study reader and the clinical reports was 5.8 ml. The study reader over-estimated the SV using the LVOT Doppler method (πr2 dLVOT × VTILVOT) compared to the SV measured using the biplane Simpson’s method (51.1 vs. 49.2 ml, p < 0.001). The standard deviation of the mean difference between the methods was 7.1 ml.

Discussion

Our main finding is that subjects with an AVA between 0.8 and 1.0 cm2 rarely have an mAVG > 40 mm Hg. This is true even when the MSF is preserved (i.e. > 200 ml/s). This finding is in agreement with the Gorlin estimates for subjects with such hemodynamics. According the Gorlin equation, a subject with an AVA of 0.8 cm2, who has a normal MSF of 200 ml/s, would have a calculated mAVG of 32 mm Hg. If the guidelines continue to advocate using AVA < 1.0 cm2 as a criterion for severe stenosis, it may therefore be reasonable to lower the cutoff value for mAVG to about 30–35 mm Hg for AS to be considered severe.

We suggest that when the AVA < 1.0 cm2 and the mAVG < 40 mm Hg, it is important to calculate the MSF. Without this parameter it is difficult to know whether the patient truly has low flow causing the discrepancy between valve area and valve gradient. While the current guidelines have focused on stroke volume index instead of systolic flow rate, this parameter may be misleading [1, 2]. We found that 25% of subjects with preserved MSF had an SVI < 35 ml/m2. In a previous retrospective study analyzing stress echocardiography performed for low-flow, low-gradient AS, flow rate was found to be the only resting systolic parameter independently associated with severe AS [9].

In our study, we chose a cutoff value for mean systolic flow rate above 200 ml/s to be considered preserved. At this flow rate, nearly all of those with critical or severe AVA had an mAVG at or near 40 mm Hg. Other authors have also endorsed using this cutoff [912]. Voelker et al. conducted an in vitro study in a pulsatile aortic flow model in which they derived the mean systolic flow from electromagnetic flow curves [13]. They considered a systolic flow of 200 ml/s as physiologic, as it corresponded to a cardiac output of 5 l/min [13]. The authors of the multicenter Truly or Pseudo-Severe Aortic Stenosis (TOPAS) study considered a cutoff of 250 ml/s to be the normal transvalvular flow rate [6]. In our sample, however, only 6 of the included subjects had an MSF at or above this cutoff. Although our sample was selected to be enriched with low-flow aortic stenosis, it seems that the use of a cutoff of 250 ml/s is very high, since the vast majority of subjects with severe aortic stenosis do not reach this level of flow. Irrespective of what cutoff of MSF is ultimately determined to be the optimal, our feeling is that a patient should not be labeled as having low flow if their MSF exceeds the cutoff value.

This study does have limitations. The study design is retrospective, and it included a selected sample of subjects purposefully enriched with having low-gradient aortic stenosis. The sample also excluded those who had severe aortic or mitral regurgitation. These factors may limit the generalizability of our results. Another limitation is that measurement error may play a role in misclassification of patients with aortic stenosis. We measured important differences in inter-observer and intra-observer variability for AVA and SV. Therefore some of the subjects with low-gradient aortic stenosis may have had true AVA > 1.0 cm2.

In conclusion, subjects with AVA of 0.8 and 0.9 cm2 rarely had mAVG > 40 mm Hg, even when the transvalvular flow rate was normal. Using current guidelines, it is not clear whether such cases should be classified as severe.

Conflict of interest

The authors declare no conflict of interest.