Novel Measures of Arterial Hemodynamics and Wave Reflections Associated With Clinical Outcomes in Patients With Heart Failure
VIEW EDITORIAL:Heart Failure: Insights From the Arterial Waves
Abstract
Background
Arterial stiffness and earlier wave reflections can increase afterload and impair cardiovascular function. Most prior studies have been performed in patients with preserved left ventricular function. We describe novel measures of pulsatile arterial hemodynamics and their association with clinical outcomes in patients with heart failure with reduced ejection fraction.
Methods and Results
Participants with heart failure with reduced ejection fraction (n=137, median age 56 years, 49% women, 58% Black) and age‐matched healthy controls (n=124) underwent measurements of large artery stiffness and pulsatile arterial hemodynamics. Carotid‐femoral pulse wave velocity and augmentation index were assessed using radial applanation tonometry. Pressure‐flow analyses derived reflected wave transit time, the systolic pressure–time integral imposed by proximal aortic characteristic impedance, and the pressure–time integral from wave reflection (wasted pressure effort). Cox proportional hazards models defined associations between hemodynamic measures and (1) all‐cause death and (2) a combined end point of left ventricular assist device implant, heart transplant, and death, at 2 years adjusted for race, BNP (B‐type natriuretic peptide), and the Meta‐Analysis Global Group in Chronic Heart Failure Risk Score. Compared with controls, participants with heart failure with reduced ejection fraction exhibited similar carotid‐femoral pulse wave velocity (6.8±1.6 versus 7.0±1.6 m/s, P=0.40) but higher augmentation index normalized to a heart rate of 75 bpm (13±2% versus 22±2%, P<0.001). Shorter reflected wave transit time (ie, earlier wave reflection arrival to the proximal aorta) was associated with an increased risk of death (adjusted hazard ratio [aHR] 1.67 [95% CI 1.03–1.63]) and the combined end point of death/left ventricular assist device/heart transplant (aHR, 1.61 [95% CI, 1.06–2.44]) at 2 years. Wasted pressure effort/proximal aortic characteristic impedance, representing the proportion of systolic load from wave reflection versus aortic root characteristic impedance, was univariately associated with death (hazard ratio (HR), 1.44 [95% CI, 1.05–1.97]) and with death/left ventricular assist device/heart transplant on univariate (HR, 1.42 [95% CI, 1.07–1.88]) and multivariable (aHR, 1.40 [95% CI, 1.02–1.93]) analysis.
Conclusions
Increased left ventricular systolic load from premature wave reflections is associated with adverse clinical outcomes in patients with heart failure with reduced ejection fraction.
Nonstandard Abbreviations and Acronyms
- AIx
- augmentation index
- CF‐PWV
- carotid‐femoral pulse wave velocity
- HFrEF
- heart failure with reduced ejection fraction
- MESA
- Multiethnic Study of Atherosclerosis
- Pb
- forward waves
- Pf
- backward waves
- PWA
- pulse wave analysis
- PWV
- pulse wave velocity
- RWTT
- reflected wave transit time
- WPE
- wasted pressure effort
- Zc
- aortic root characteristic impedance
Clinical Perspective
What Is New?
•
Pulsatile arterial hemodynamics and wave separation analysis have not been assessed as prognostic indicators in patients with heart failure with reduced ejection fraction.
•
Earlier arrival of the reflected wave to the proximal aorta leads to increased mid‐to‐late left ventricular systolic load.
What Are the Clinical Implications?
•
These noninvasive, comprehensive measures may have prognostic capabilities for the population with heart failure with reduced ejection fraction.
Heart failure (HF) affects nearly 6 million Americans, with ≈50% of cases classified as heart failure with reduced ejection fraction (HFrEF).1 Despite increasing availability of pharmacologic and device‐based therapies for HFrEF, morbidity and mortality remain high. A greater understanding is needed of pathophysiology in HF to determine which patients are at highest risk for adverse outcomes.
Pulsatile arterial hemodynamics are highly prognostic in cardiovascular disease. Both aortic pulse wave velocity (PWV) and measures of wave reflections independently predict incident cardiovascular disease and HF in the general population.2, 3 Wave reflections returning to the proximal aorta are important determinants of left ventricular (LV) afterload and can contribute to LV hypertrophy, diastolic dysfunction, and fibrosis.4 Additionally, large artery stiffness can reduce coronary perfusion pressure and increase pulsatile pressure in microvascular beds that normally operate in low‐pressure states.5 Most prior studies examining these phenomena have been performed in patients with preserved LV function, where reflected waves typically augment aortic pressure in mid‐to‐late systole. There are unique considerations in patients with reduced LV function, however, where wave reflection may actually truncate systolic flow rather than augment late systolic pressure. Wave separation analysis using pressure and flow data, rather than assessment of pressure augmentation, is essential to quantify the impact of wave reflection on LV load. In addition to its effects on the pressure and flow, arrival of reflected waves to the aorta during mid‐to‐late systole can lead to abnormal ventricular‐vascular interactions via myocardial wall stress that may be poorly tolerated in patients with impaired LV function.5
Wave separation analysis is the gold standard method to assess wave reflection. Compared with carotid‐femoral PWV (CF‐PWV, which measures arterial stiffness) or pulse wave analysis (which only considers changes in the pressure waveform), wave separation via analysis of pressure‐flow relations can discern the magnitude and the timing of wave reflection.6, 7 Prior studies have also documented that wave separation analysis more accurately predicts incident HF events compared with augmentation index.7, 8 In contrast to pulse wave analysis, which relies on pressure augmentation by the LV to assess wave reflections, wave separation analysis reliably determines the contribution of reflected waves to LV pulsatile afterload even in the presence of LV dysfunction.9 We hypothesized that wave separation analysis provides prognostic or more reliable measures in patients with impaired LV function. In this study, we (1) compared large artery stiffness measures between HFrEF and control cohorts and (2) examined the association between measures of pulsatile arterial hemodynamics assessed via pressure‐flow relations and clinical outcomes in patients with HFrEF.
Methods
Data Availability
Data are available upon reasonable request from the authors.
Study Populations
(1) Control cohort: Healthy, nonsmoking volunteers aged 30 to 70 years (n=129) from the Emory Predictive Health Initiative were recruited as control participants from 2006 to 2008 after careful screening for the absence of all of the following conditions: hypertension (systolic blood pressure <130 mm Hg or diastolic blood pressure <90 mm Hg on 3 occasions), hyperlipidemia (total cholesterol <200 mg/dL, low‐density lipoprotein <120 mg/dL), impaired fasting glucose or diabetes (fasting glucose <100 mg/dL), overweight or obesity (BMI ≤25 kg/m2), and history of any cardiovascular or valvular heart disease or use of prescription medications, as previously described.10, 11 (2) Patients with HFrEF: Self‐identified Black and White subjects aged ≥18 years (n=205) were screened for eligibility from the outpatient HF clinics at the Emory University Hospitals from 2015 to 2019. Patients were recruited using the following inclusion criteria: (1) ejection fraction (EF) ≤40% by echocardiogram attributable to ischemic or nonischemic etiology; and (2) New York Heart Association class II to IV HF symptoms for 3 months despite guideline‐directed medical therapy. Patients were excluded for the following reasons: (1) HF etiology including hypertrophic or restrictive cardiomyopathy, constrictive pericarditis, or complex congenital heart disease; (2) prior heart transplant or left ventricular assist device (LVAD); (3) any conditions other than HF likely to alter the patient's status over 6 months; (4) end‐stage HF requiring continuous inotrope infusion; and (5) serum creatinine >3 mg/dL or estimated glomerular filtration rate <20 mL/min per 1.73 m2. After informed consent and enrollment, interviews and medical records were used to collect demographics, medical and procedure history, current medications, and laboratory measures. All study visits were performed in the Emory General Clinical Research Center. Both studies were approved by the Emory University Institutional Review Board.
Measures of HF Severity
Clinical Outcomes of Interest
Patients with HFrEF were actively followed for the occurrence of clinical events every 6 months after study enrollment. The primary clinical outcomes of interest were: (1) all‐cause death at 2 years or (2) a composite of death, heart transplant, or LV assist device implantation at 2 years. Patients without available follow‐up data were contacted by phone to ascertain events. For patients completely lost to follow‐up, death data were ascertained by Social Security Death Index query. Because controls were not expected to have clinical events, they were not followed longitudinally.
Measures of Large Artery Stiffness and Wave Reflections
Large artery stiffness and wave reflections were estimated using the SphygmoCor device (Atcor Medical, Australia), according to previously published methods.11 Patients with HFrEF were asked to hold vasoactive medications on the day of their study visit. All measurements were performed before venipuncture for biomarkers in a quiet, temperature‐controlled environment set at 22 °C after an overnight fast and were made with participants in the supine position after a 10‐minute rest period. Using applanation tonometry with a high‐fidelity micromanometer, CF‐PWV, the standard noninvasive reference metric of large artery stiffness, was measured by acquiring pressure waveforms at the carotid and femoral arteries, and velocity (distance/time in m/s) was calculated using the “foot‐to‐foot” method (Figure 1A). Pulse wave analysis (PWA) of the pressure waveforms at the radial artery estimated central (proximal) aortic pressures and the degree of systolic pressure augmentation. This permitted derivation of an augmentation index (AIx=augmented pressure/total central pulse pressure). Although AIx is affected by wave reflections, AIx is also sensitive to heart rate. Therefore, we used unadjusted AIx and AIx adjusted for heart rate in multivariable analysis. Patients with HFrEF with poor quality measurements attributable to poor signal (n=68) as assessed in fashion blinded to outcomes were excluded from this analysis.11, 15

Aortic Pressure‐Flow Analyses
Pressure‐flow analyses were performed offline in participants with HFrEF using custom‐designed software written in MATLAB (The MathWorks, Natick, MA) as previously described.16 We performed 10‐s acquisitions of radial arterial pressure waveforms using high‐fidelity applanation tonometry. The radial waveform was calibrated using brachial systolic and diastolic pressure and used to estimate the aortic pressure waveform using the generalized transfer function of the Sphygmocor device (Naperville, IL). Central systolic blood pressure and pulse pressure were assessed. Pulse wave characteristics and morphology (first and second shoulders of systolic pressure and dicrotic notch) were used for determining the aortic augmentation index (P2−P1×100/pulse pressure). Flow measurements were performed using pulsed wave Doppler at the left ventricular outflow tract (Figure 1B).17 Pressure and flow waves were then aligned to maximize a linear rapid early systolic upstroke of pressure and flow and concordance of (1) first shoulder of systolic pressure with peak systolic flow and (2) aortic pressure dicrotic notch with the cessation of flow (Figure 1C).16 Notably, pressure and flow acquisitions were not simultaneous, which might have introduced noise in the measurements. Figure 2 illustrates the pressure‐flow relations and wave separation analysis. All pressure‐flow pairs underwent a quality control check by J.A.C. to ensure acceptable primary signal quality and good alignment. Aortic root characteristic impedance (Zc) was computed in the frequency domain as the mean value of higher harmonics of input impedance (Figure 2), as previously described.18 Zc was then used to calculate the forward (Pf) and backward (Pb) waves as Pf=(P+Q×Zc)/2 and Pb=(P−Q×Zc)/2, respectively, where P is pressure and Q is flow.18 Reflection magnitude (RM) was calculated as [Pb/Pf×100].8 Reflected wave transit time (RWTT) was calculated as the time delay between the zero crossings of Pf and Pb as previously described (Figure 2A).19 The time integral of the proximal aortic characteristic impedance (QZc) product (instantaneous flow multiplied by characteristic impedance, depicted in dark maroon in Figure 2B) was computed, which represents the pressure–time integral required to push the given stroke volume through the aortic root in the absence of wave reflections. Wasted pressure effort (WPE, depicted in red in Figure 2B) was computed as the difference between QZc and the observed systolic pressure–time integral (ie, the pressure–time integral before the incisura).4 It represents the additional effort required to overcome the load by wave reflections while generating the same flow/stroke volume. The wasted pressure effort ratio, a dimensionless ratio representing the ratio of pulsatile systolic pressure generated as a result of wave reflection versus load by the aortic root, was computed as WPE/QZc.

Figure 2. Representation of pressure‐flow relations and wave separation analysis.
FD indicates frequency domain; Pb, backward wave; Pf, forward wave; QZc, proximal aortic characteristic impedance; WPE, wasted pressure effort; and Zc, aortic root characteristic impedance.
Statistical Analysis
Data are presented as mean±SD, median (interquartile range [IQR]), or n (%) of patients. Baseline characteristics were compared between patients according to race and sex using Student t‐test for normally distributed continuous variables, nonparametric Mann–Whitney U test for non‐normally distributed continuous variables, and the Chi‐square or Fisher exact test for categorical variables. Given the differing physiology of patients with HFrEF compared with controls, ANCOVA was used to adjust CF‐PWV for age, heart rate, and mean arterial pressure, and AIx for age, heart rate, and mean arterial pressure. We similarly compared arterial stiffness and pulsatile hemodynamic measures between patients who experienced the primary end point and those who did not achieve the primary end point.
The association between measures of large artery stiffness and pulsatile load and the primary clinical end points was assessed using Cox proportional hazards models in patients with HFrEF only. All hemodynamic measures were transformed into z‐scores to obtain standardized hazard ratios, which are more intuitively comparable across different hemodynamic indices. All sample values had the mean value subtracted and were divided by 1 SD. Models were adjusted for race, BNP level, and the Meta‐Analysis Global Group in Chronic Heart Failure risk score. The Meta‐Analysis Global Group in Chronic Heart Failure risk score includes 13 clinical variables used to predict mortality in patients with HF, including age, sex, EF, systolic blood pressure, creatinine, New York Heart Association class, current smoking, diabetes, chronic obstructive pulmonary disease, duration of HF diagnosis, and guideline‐directed medical therapy use.20 Power calculations were based on the expected association of traditional measures of arterial stiffness with the frequency of clinical HF‐related events (death, hospitalization) in patients with HF.21 Assuming a 2‐sided type 1 error of 0.05 and a test statistic based on the 2‐sample t‐test, we anticipated a sample size of n=200 would provide 80% power to detect a difference of 1.38 m/sec in femoral PWV (SD=3.1) and 6.37% in AIx (SD=14.3) between subjects with and without an HF‐related event.
Data were analyzed using SAS statistical software version 9.4 (SAS Institute Inc.) and R Studio version 1.3.1073 (The Comprehensive R Archive Network: https://cran.r‐project.org). A 2‐sided P value <0.05 was considered statistically significant.
Results
Baseline Characteristics
Baseline characteristics of the 137 participants with HFrEF and 124 age‐matched controls are displayed in Table 1. Three‐quarters of participants with HFrEF had a nonischemic HF etiology, and almost 90% exhibited New York Heart Association functional class II or III. Approximately half of participants had a history of hypertension or diabetes. Measured blood pressures were consistent with clinical guideline targets, and use of guideline‐directed medical therapy was high.
Characteristic | HFrEF cohort n=137 | Controls† n=124 | P value* |
---|---|---|---|
Age, y | 54.6±13.3 | 52.4±8.6 | 0.10 |
Sex | |||
Men | 70 (51) | 66 (53) | |
Women | 67 (49) | 58 (47) | 0.70 |
Race | |||
Black | 79 (58) | 27 (22) | |
White | 58 (42) | 97 (78) | <0.001 |
Systolic blood pressure, mm Hg | 112 [100–121] | 118 [108–124] | 0.01 |
Diastolic blood pressure, mm Hg | 66 [60–74] | 70 [63–80] | <0.001 |
Body mass index, kg/m2 | 30.1 [25.4, 36.8] | 23.1 [21.5–25.1] | <0.001 |
eGFR, mL/min per 1.73 m2 | 71 [52–94] | ||
Heart failure type† | |||
Ischemic | 32 (23) | 0 (0) | |
Nonischemic | 105 (77) | 0 (0) | N/A |
NYHA class | |||
Class I | 6 (4) | ||
Class II | 60 (44) | ||
Class III | 60 (44) | ||
Class IV | 9 (7) | ||
Diabetes† | 64 (47) | 0 (0) | N/A |
Hypertension† | 74 (54) | 0 (0) | N/A |
Dyslipidemia† | 24 (18) | 0 (0) | N/A |
Myocardial infarction† | 37 (27) | 0 (0) | N/A |
BNP, pg/mL | 201 [78–545] | ||
Guideline‐directed medical therapy† | |||
ACE‐I or ARB | 83 (61) | 0 (0) | |
ARNI | 15 (11) | 0 (0) | |
Beta blocker | 133 (97) | 0 (0) | |
Hydralazine | 26 (19) | 0 (0) | |
Oral nitrates | 22 (16) | 0 (0) | |
Digoxin | 33 (24) | 0 (0) | |
Diuretics | 123 (90) | 0 (0) | |
MRA | 89 (65) | 0 (0) | N/A |
LVEF% | 20 [15–30] | ||
MAGGIC risk score | 22 [18–27] |
Values are mean±SD, median [interquartile range] or n (%). ACE‐I indicates angiotensin‐converting enzyme inhibitor; ARB, angiotensin receptor II blocker; ARNI, angiotensin receptor II blocker‐neprilysin inhibitor; BNP, B‐type natriuretic peptide; eGFR, estimated glomerular filtration rate; HFrEF, heart failure with reduced ejection fraction; LVEF, left ventricular ejection fraction; MAGGIC, Meta‐Analysis Global Group in Chronic Heart Failure; MRA, mineralocorticoid receptor antagonists; and NYHA, New York Heart Association.
*
P<0.05 for heart failure with reduced ejection fraction vs control between‐group comparison is considered statistically significant.
†
Characteristics reported with zero counts for controls represent exclusion criteria.
Comparison of Pulsatile Arterial Hemodynamics in Patients With HFrEF and Controls
Results of large artery stiffness and hemodynamic measures are shown in Table 2. Reproducibility studies in our laboratory on 10 subjects on consecutive days demonstrate a coefficient of variation of 8.1% and 6.4% for CF‐PWV and AIx, respectively. Central systolic, central diastolic, and peripheral diastolic blood pressures were higher in controls than patients with HFrEF. ANCOVA‐adjusted CF‐PWV and AIx were similar in controls compared with patients with HFrEF. Pressure‐flow analyses further characterized pulsatile arterial hemodynamics in patients with HFrEF. Median reflection magnitude was 47% (IQR, 39%–54%). In patients with HFrEF, median RWTT was 115 (IQR, 84–158) ms, whereas median ejection duration was 281 (IQR, 256–307) ms, implying substantial overlap between the reflected wave and systolic ejection. Accordingly, the wasted effort ratio (median, 0.81 [IQR, 0.34–1.29]) implied there was significant additional effort required to overcome the additional load from wave reflections added to the pulsatile load imposed by QZc (median, 0.09 [IQR, 0.06–0.14]).
Arterial stiffness/Pulsatile hemodynamic measurement | HFrEF n=137 | Controls n=124 | P value |
---|---|---|---|
Peripheral systolic pressure, mm Hg | 112 [100–121] | 115 [108–124] | 0.10 |
Peripheral diastolic pressure, mm Hg | 66 [59–73] | 70 [63–79] | 0.016 |
Peripheral pulse pressure, mm Hg | 45 [35–54] | 44 [39–50] | 0.90 |
Central systolic pressure, mm Hg | 100 [91–109] | 107 [96–115] | 0.029 |
Central diastolic pressure, mm Hg | 67 [60–74] | 70 [63–80] | 0.020 |
Central pulse pressure, mm Hg | 32 [24–42] | 33 [27–40] | 0.30 |
Heart rate, bpm | 73 [64–82] | 54 [50–60] | <0.001 |
Carotid‐femoral pulse wave velocity, m/s* | 6.7±1.6 | 7.0±1.6 | 0.30 |
Augmentation index, %* | 23.4±12.1 | 21.8±12.1 | 0.40 |
Augmentation index at heart rate 75, %* | 21.7±11.7 | 12.9±12.0 | <0.001 |
Pulse pressure, mm Hg | 33 [25–41] | ||
Forward wave amplitude, mm Hg | 26.2 [20.0–34.1] | ||
Backward wave amplitude, mm Hg | 12.3 [8.7–16.5] | ||
Reflection magnitude, % | 47 [39–54] | ||
Reflected wave transit time, ms | 115 [84–158] | ||
Ejection duration, ms | 281 [256–307] | ||
Wasted pressure effort ratio | 0.81 [0.34–1.29] | ||
Aortic root characteristic impedance, mm Hg·mL−1 | 0.092 [0.064–0.136] |
Data are presented as median [interquartile range] or mean±SD.
*
Pulse wave velocity is adjusted for heart rate, age, and mean arterial pressure. Augmentation index and augmentation index at heart rate 75 are adjusted for age and mean arterial pressure.
Association of Large Artery Stiffness Measures and Wave Separation Analysis With Clinical Outcomes in Patients With HFrEF
Within a 2‐year follow‐up time in the HFrEF cohort, 27 (20%) patients died, 9 (7%) patients underwent LV assist device implantation, and none underwent heart transplant. Patients who experienced the primary end point had lower central systolic and diastolic pressure, lower central pulse pressure, lower Pf and Pb amplitudes (though comparable RMs), and shorter RWTT compared with patients who did not experience the primary end point (Table S1). On univariate analysis, shorter RWTT was associated with an increased risk of death at 2 years (hazard ratio [HR], 1.79 [95% CI, 1.12–2.78]), and this association remained significant in a multivariable model adjusted for race, Meta‐Analysis Global Group in Chronic Heart Failure score, and BNP (HR, 1.67 [95% CI, 1.03–2.70]) (Table 3, Figure 3A). Greater wasted effort ratio was significantly associated with increased risk of death at 2 years (HR, 1.44 [95% CI, 1.05–1.97]) on univariate analysis, though this association was attenuated in the multivariable model (HR, 1.37 [95% CI, 0.94–1.98]). Shorter RWTT and greater wasted effort ratio were both associated with an increased risk of the primary composite end point on univariate analysis (RWTT: HR, 1.54 [95% CI, 1.05–2.27]; wasted effort ratio: HR, 1.42 [95% CI, 1.07–1.88]) and remained significant in the multivariable model (RWTT: HR, 1.61 [95% CI, 1.06–2.44]; wasted effort ratio: HR, 1.40 [95% CI, 1.02–1.93]) (Table 3, Figure 3B).
Death at 2 y*,† | Death/LVAD/HT at 2 y*,† | |||
---|---|---|---|---|
Unadjusted standardized HR | Adjusted standardized HR | Unadjusted standardized HR | Adjusted standardized HR | |
QZc | 0.80 (0.51–1.25) | 0.76 (0.48–1.18) | 0.82 (0.56–1.20) | 0.75 (0.50–1.11) |
RWTT | 1.79 (1.12–2.78) | 1.67 (1.03–2.70) | 1.54 (1.05–2.27) | 1.61 (1.06–2.44) |
RM | 0.92 (0.62–1.37) | 0.82 (0.50–1.35) | 0.94 (0.67–1.33) | 0.88 (0.58–1.34) |
WPE/QZc | 1.44 (1.05–1.97) | 1.37 (0.94–1.98) | 1.42 (1.07–1.88) | 1.40 (1.02–1.93) |
CF‐PWV | 0.67 (0.42–1.09) | 0.78 (0.50–1.22) | 0.69 (0.46–1.05) | 0.77 (0.53–1.13) |
AIx | 0.95 (0.60–1.50) | 1.04 (0.69–1.59) | 0.94 (0.63–1.40) | 1.00 (0.68–1.47) |
AIx indicates augmentation index; CF‐PWV, carotid femoral pulse wave velocity; HFrEF, heart failure with reduced ejection fraction; HR, hazard ratio; HT, heart transplant; QZc, proximal aortic characteristic impedance; RM, reflection magnitude; RWTT, reflected wave transit time; and WPE/QZc, wasted pressure effort ratio.
*
Full model also adjusted for race, Meta‐Analysis Global Group in Chronic Heart Failure risk score (includes sex), and BNP (B‐type natriuretic peptide).
†
All arterial hemodynamic measurements required z‐score normalization to obtain normal distribution.

Figure 3. Forest plots for association of arterial hemodynamic measurements with death (A) and combined end point of death/left ventricular assist device/heart transplant (B) at 2 years for heart failure with reduced ejection fraction cohort.
A, Outcome: death at 2 years. Shorter reflected wave transit time was associated with an increased risk of death at 2 years. Shorter reflected wave transit time and greater wasted effort ratio were both associated with an increased risk of the composite end point of death/left ventricular assist device/heart transplant at 2 years. B, Outcome: death/left ventricular assist device/heart transplant at 2 years. Shorter reflected wave transit time was associated with an increased risk of death at 2 years. Shorter reflected wave transit time and greater wasted effort ratio were both associated with an increased risk of the composite end point of death/left ventricular assist device/heart transplant at 2 years. HR indicates hazard ratio; HT, heart transplant; LVAD, left ventricular assist device; and WPE/QZc, wasted pressure effort ratio.
Discussion
In a cohort of patients with HFrEF who underwent measurements of large artery stiffness and pulsatile arterial hemodynamics, we demonstrated that measures derived from pressure‐flow analyses, including RWTT and wasted pressure effort, demonstrated a more significant association with clinical outcomes than traditional metrics of large artery stiffness or wave reflection such as CF‐PWV and AIx, respectively. In this cohort, shorter RWTT, representing earlier arrival of wave reflections to the proximal aorta, was associated with increased risk of both death and death/LV assist device/heart transplant within 2 years, while increased WPE/QZc, representing a proportionally higher contribution of wave reflection to LV systolic load, was significantly associated with the composite end point. CF‐PWV and AIx were not associated with either clinical end point on multivariable analysis.
Detailed phenotyping of pulsatile arterial hemodynamics has previously provided important insights into LV remodeling, as well as risk for incident cardiovascular disease. With every contraction, the LV generates a pulse wave that travels forward and is reflected back to the heart when it reaches sites of impedance mismatch (eg, bifurcations, sites of tortuosity or focal stiffening, microvasculature, etc).4 Factors such as aging or increasing burden of traditional cardiovascular risk factors lead to aortic stiffening that transmits both the PF and Pb waves with greater speed, measured as increased CF‐PWV and decreased RWTT.19 Earlier arrival of the backward wave reflected from stiff arteries leads to increased mid‐to‐late LV systolic load. Earlier wave reflections have important consequences on LV remodeling, diastolic dysfunction, and fibrosis, increasing the risk for HF (Figure 4). AIx, a commonly used metric of wave reflection, can be influenced by factors besides wave reflections (eg, age, height, heart rate), rendering it an unreliable independent predictor of cardiovascular risk.22 This is a particular problem in patients with HFrEF, among whom wave reflection may reduce forward flow rather than augment pressure.

Figure 4. Diagram showing effect of arterial hemodynamics on cardiac function, adapted from Weber and Chirinos.7
HF indicates heart failure.
Prior analyses document that wave separation analysis to quantify the Pf and Pb strongly predicts incident HF. An analysis of 6814 healthy subjects in the MESA (Multiethnic Study of Atherosclerosis) cohort confirmed that RM had a stronger association with incident HF than either AIx or pulse pressure amplification.8 However, given that wave reflections re‐reflect in the LV, adding to the Pf, RM can underestimate the contribution of reflected waves to LV load. Furthermore, RM does not consider the effect of the timing of the reflected wave on aortic and LV pressure during systole.4 Studies examining pulsatile arterial hemodynamics in patients with prevalent HF are more limited. Curtis et al compared patients with chronic HF to normal controls and found that patients with HF demonstrated reduced flow velocity in the carotid artery, reduced wave energy generated in systole, and increased RM from the periphery.23 Of note, more “pure” measurements of aortic stiffness via echocardiography/pulsed wave Doppler have been shown to be prognostic in patients with HFrEF.24 In patients with HFrEF, impaired systolic function may adversely impact the magnitude of the forward wave as well as the reflected wave, significantly affecting the overall resulting waveform.7, 25 Thus, modeling of pulsatile pressure‐flow relations, rather than analysis of the pressure waveform alone, is needed to accurately characterize the pulsatile arterial load, and this is even more important among patients with HFrEF.
Our findings are novel in that we assessed wave reflection using pressure‐flow relationships and assessed its association with prognosis in a population with HFrEF.7 Pulsatile load and ventricular‐arterial interactions incorporate various indices based on the pressure and flow generated by the heart, forward and backward arterial wave conduction, and pressure‐volume relations of the entire arterial tree.6 Ventricular‐arterial coupling examines the energetic coupling and mechanical efficacy of the left ventricle and arterial system in the pressure‐volume plane and is most informative in patients with reduced EF but does not adequately incorporate pulsatile arterial load.25, 26, 27, 28 Indeed, effective arterial elastance, computed in the pressure‐volume plane, is predominantly affected by heart rate and microvascular resistance, rather than pulsatile load.29 As demonstrated in the MESA cohort, wave reflection measures such as RM were strongly predictive of incident HF, whereas effective arterial elastance was not.3 Examination of these relationships in tandem has the potential to provide valuable insight into the mechanistic underpinnings of HFrEF and may identify promising therapeutic targets for this population.6, 18
The current analysis adds to the literature by examining novel measures of large artery stiffness and wave reflections in patients with chronic HFrEF treated with contemporary guideline‐directed medical therapy. We attempted to account for RM, RWTT, and novel components of systolic pulsatile pressure by the aortic root (QZc) and wave reflection (WPE), respectively. Whereas QZc represents the pressure necessary to promote flow through the aortic root (given the prevalence aortic root characteristic impedance), the WPE represents the additional pressure the heart must exert with each systolic contraction to overcome the load imposed by wave reflection (Figure 1). In the present study, a shorter RWTT and a higher wasted pressure effort ratio (a dimensionless metric in which WPE is expressed as a proportion of QZc) were associated with increased risk of clinical outcomes at 2 years. These data confirm the concept that increased load from wave reflection during mid‐to‐late systole is detrimental, as compared with early systolic load by the aortic root, or to reflected waves that occur in diastole when they do not contribute to wasted effort and actually promote coronary perfusion.30
These findings demonstrate the importance of timing in wave reflections and their impact on clinical outcomes. Thus, large artery stiffness and wave reflections may serve as a viable therapeutic target for patients with HF in the future. The A‐HeF (African American HF) trial definitively showed improved survival in Black patients randomized to treatment with hydralazine‐isosorbide dinitrate.31 Whereas organic nitrates have been thought to reduce wave reflection, this may not be true in all populations, at least with chronic therapy. A recent study by Zamani et al demonstrated that hydralazine‐isosorbide dinitrate may increase RM in patients with heart failure with preserved EF.30 Exogenous inorganic nitrate/nitrite has been shown to reduce late systolic LV load from arterial wave reflections with high selectivity for conduit muscular arteries.7, 32 The effects of exogenous inorganic nitrate/nitrite on wave reflection and clinical outcomes have yet to be studied in patients with HFrEF. Vericiguat, a soluble guanylate cyclase stimulator, reduced the incidence of cardiovascular death and HF hospitalization in the VICTORIA (Vericiguat Global Study in Subjects With Heart Failure and Reduced Ejection Fraction) trial.33 A recent animal model using invasively recorded data demonstrated that vericiguat substantially reduced wave reflection,34 suggesting that this hemodynamic mechanism may underlie at least some of the therapeutic effect of vericiguat in HFrEF.
The present study should be interpreted in the context of important limitations. This study represents a single‐center experience with a small sample size. Although we acquired measures of large artery stiffness and wave reflections on n=200 patients with HFrEF per our original power calculation, we noted that these patients had lower CF‐PWV than expected and many more had to be excluded for poor‐quality arterial stiffness measurements because of poor signal (n=68) than in prior studies in our laboratory.11 We suspected that this was likely attributed to the degree of systolic dysfunction present in these patients, who were all recruited from our advanced HF clinics. Because of this, we performed additional wave separation analyses to further understand the impact of the arterial tree despite the low CF‐PWV. Wave separation analyses were not available for the control cohort, limiting our ability to comprehensively compare pulsatile arterial hemodynamics in patients with severe disease (HFrEF) versus preserved LV function (controls). Moreover, our control cohort may be substantially healthier than the national average given our stringent exclusion criteria, which may limit the generalizability of these findings. Finally, RWTT only assesses the characteristic point of Pf and Pb and may not be representative of the timing of the overall bulk of wave reflection.35 This is an area of active investigation in studies of wave separation. In addition, pressure and flow acquisitions were not simultaneous, which might have introduced noise in the measurements. However, the shape of the flow waveform, which is the key information needed for wave separation analysis, is likely conserved in stable patients. Pressure‐flow analysis from simultaneous pressure and flow recordings may be even more prognostic. Strengths of this study include the use of multiple modalities to assess differences in arterial hemodynamic measurements and pulsatile load in a diverse cohort of patients. In particular, the use of pressure‐flow analyses rather than pressure‐only metrics allowed for a better assessment of systolic load, aortic root load, and the additional load by reflected waves.
In conclusion, metrics of pulsatile load related to premature wave reflection were significantly associated with worse clinical outcomes in patients with HFrEF. Future studies should assess the impact of therapeutic reductions in wave reflection on clinical outcomes in this population.
Sources of Funding
The project was supported by funding for Dr Morris (National Heart, Lung, and Blood Institute K23 HL124287) and Dr Steinberg (National Institute on Minority Health and Health Disparities U54 MD008173 and the National Center for Advancing Translational Sciences UL1TR002378 and TL1TR002382). Dr Morris has received additional research funding from the National Heart, Lung, and Blood Institute (R03 HL146874), Agency for Healthcare Research and Quality (HS026081), the Woodruff Foundation, and the Association of Black Cardiologists. Dr Chirinos is supported by National Institutes of Health grants R01‐HL121510, U01‐TR003734, U01‐TR003734‐01S1, UO1‐HL‐160277, R33‐HL‐146390, R01‐HL153646, K24‐AG070459, R01‐AG058969, R01‐HL104106, P01‐HL094307, R03‐HL146874, R56‐HL136730, R01‐HL157108, R01HL155764, R01 HL155599, R01HL157264, and 1R01HL153646. He received University of Pennsylvania research grants from the National Institutes of Health, Fukuda‐Denshi, Bristol‐Myers Squibb, Microsoft, and Abbott. Dr Dickert reports receiving research funding from the Agency for Healthcare Research and Quality, National Institutes of Health, Patient‐Centered Outcomes Research Institute, and the Greenwall Foundation. This study was supported in part by grants 4R61HL138657‐04, U54AG062334‐01, 1P30DK111024‐03S1, 15SFCRN23910003, 5P01HL086773‐09, 1R01HL141205‐01, 5P01HL101398‐05, 1P20HL113451‐04, and 3RF1AG051633‐01S2 from the National Institutes of Health (Dr Quyyumi), and grant 15SFCRN23910003 from the American Heart Association (Dr Quyyumi).
Disclosures
Dr Chirinos has recently consulted for Bayer, Sanifit, Fukuda‐Denshi, Bristol‐Myers Squibb, JNJ, Edwards Life Sciences, Merck, NGM Biopharmaceuticals, and the Galway‐Mayo Institute of Technology. He is a member of the Advisory Board for Bristol‐Myers Squibb. He is named as inventor in a University of Pennsylvania patent for the use of inorganic nitrates/nitrites for the treatment of HF and preserved EF and for the use of biomarkers in HF with preserved EF. He has received payments for editorial roles from the American Heart Association, the American College of Cardiology, Elsevier, and Wiley. He has received research device loans from Atcor Medical, Fukuda‐Denshi, Unex, Uscom, NDD Medical Technologies, Microsoft, and MicroVision Medical.
Footnotes
Supplemental Material is available at Supplemental Material
For Sources of Funding and Disclosures, see page 10.
See Editorial by Hametne et al.
Supplemental Material
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© 2023 The Authors. Published on behalf of the American Heart Association, Inc., by Wiley. This is an open access article under the terms of the Creative Commons Attribution‐NonCommercial‐NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non‐commercial and no modifications or adaptations are made.
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Received: 28 July 2022
Accepted: 28 November 2022
Published online: 16 March 2023
Published in print: 21 March 2023
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NHLBI: R03 HL146874, K23 HL124287
NIMHD: U54 MD008173
National Center for Advancing Translational Sciences: TL1TR002382, UL1TR002378
AHRQ: HS026081
National Institutes of Health: 3RF1AG051633‐01S2, 1P20HL113451‐04, 5P01HL101398‐05, 1R01HL141205‐01, 5P01HL086773‐09, 15SFCRN23910003, 1P30DK111024‐03S1, U54AG062334‐01, 4R61HL138657‐04, 1R01HL153646, R01HL157264, R01 HL155599, R01HL155764, R01‐HL157108, R56‐HL136730, R03‐HL146874, P01‐HL094307, R01‐HL104106, R01‐AG058969, K24‐AG070459, R01‐HL153646, R33‐HL‐146390, UO1‐HL‐160277, U01‐TR003734‐01S1, U01‐TR003734, R01‐HL121510
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