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Ventricular flow analysis and its association with exertional capacity in repaired tetralogy of Fallot: 4D flow cardiovascular magnetic resonance study



Four-dimensional (4D) flow cardiovascular magnetic resonance (CMR) allows quantification of biventricular blood flow by flow components and kinetic energy (KE) analyses. However, it remains unclear whether 4D flow parameters can predict cardiopulmonary exercise testing (CPET) as a clinical outcome in repaired tetralogy of Fallot (rTOF). Current study aimed to (1) compare 4D flow CMR parameters in rTOF with age- and gender-matched healthy controls, (2) investigate associations of 4D flow parameters with functional and volumetric right ventricular (RV) remodelling markers, and CPET outcome.


Sixty-three rTOF patients (14 paediatric, 49 adult; 30 ± 15 years; 29 M) and 63 age- and gender-matched healthy controls (14 paediatric, 49 adult; 31 ± 15 years) were prospectively recruited at four centers. All underwent cine and 4D flow CMR, and all adults performed standardized CPET same day or within one week of CMR. RV remodelling index was calculated as the ratio of RV to left ventricular (LV) end-diastolic volumes. Four flow components were analyzed: direct flow, retained inflow, delayed ejection flow and residual volume. Additionally, three phasic KE parameters normalized to end-diastolic volume (KEiEDV), were analyzed for both LV and RV: peak systolic, average systolic and peak E-wave.


In comparisons of rTOF vs. healthy controls, median LV retained inflow (18% vs. 16%, P = 0.005) and median peak E-wave KEiEDV (34.9 µJ/ml vs. 29.2 µJ/ml, P = 0.006) were higher in rTOF; median RV direct flow was lower in rTOF (25% vs. 35%, P < 0.001); median RV delayed ejection flow (21% vs. 17%, P < 0.001) and residual volume (39% vs. 31%, P < 0.001) were both greater in rTOF. RV KEiEDV parameters were all higher in rTOF than healthy controls (all P < 0.001). On multivariate analysis, RV direct flow was an independent predictor of RV function and CPET outcome. RV direct flow and RV peak E-wave KEiEDV were independent predictors of RV remodelling index.


In this multi-scanner multicenter 4D flow CMR study, reduced RV direct flow was independently associated with RV dysfunction, remodelling and, to a lesser extent, exercise intolerance in rTOF patients. This supports its utility as an imaging parameter for monitoring disease progression and therapeutic response in rTOF.

Clinical Trial Registration Unique identifier: NCT03217240.


Tetralogy of Fallot (TOF) is the most common form of cyanotic congenital heart disease (CHD) accounting for approximately one in every 3600 livebirths and 5–7% of all CHD. It affects males and females equally [1, 2]. With advances in diagnosis and postoperative care, those born with TOF can now undergo corrective surgical repair early in life and expect to survive to adulthood. Surgical correction of TOF typically involves ventricular septal defect closure, resection of obstructive right ventricular (RV) outflow tract musculature, and pulmonary valvotomy or placement of a transannular patch.

Pulmonary regurgitation (PR) is a common complication in repaired TOF (rTOF), especially with transannular patch repair, that may occur many years after the primary repair procedure. Significant postoperative PR has been found to be associated with progressive RV dilation and dysfunction, as well as risk of sustained ventricular tachycardia and sudden death [3]. Adverse remodelling initially involves RV but eventually affects the left ventricle (LV) as well, as both ventricles share a common septum and are encased within the pericardial cavity. Ventricular-ventricular interaction results in alterations of diastolic [4] and systolic function [5], and LV hemodynamics. Cardiovascular magnetic resonance (CMR) possesses excellent reproducibility for ventricular volume measurement and is the reference standard for quantification of ventricular size and function in rTOF patients [6]. Although pulmonary homograft replacement at guideline-recommended RV volume threshold values may reverse RV remodelling, the evidence for mortality benefit is less firm [7]. Cardiopulmonary exercise testing (CPET) offers additional prognostic guidance for timing of intervention [8] but is not routinely performed in the asymptomatic or mildly symptomatic patient. In a retrospective analysis for rTOF patients with both CMR and CPET, RV ejection fraction (RVEF) < 40% but neither RV end-diastolic volume (EDV) nor end-systolic volume (ESV) was predictive of peak oxygen uptake (VO2) below the established prognostic threshold of 27 ml/kg/min [9]. As severe RV dysfunction presents late, its diagnostic utility for incipient exercise intolerance is limited. Factors other than PR may underpin functional deterioration in rTOF patients. In a study of 81 paediatric rTOF patients, electrocardiographic (ECG) right bundle branch block-induced prolonged QRS duration, more than PR, was associated with reductions in RVEF and peak VO2 [10]. In these studies, intracardiac flow features were not investigated in rTOF patients.

Four-dimensional (4D) flow CMR quantifies blood flow in three orthogonal directions simultaneously within a volume of interest in a time-resolved manner throughout the cardiac cycle. It allows comprehensive visualization of multidirectional flow patterns within the heart and reads out the velocities of multiple jets in 3D space without the need to align the velocity-encoding direction, and may thus yield higher diagnostic accuracy than standard 2D flow CMR or Doppler echo for quantification of pulmonary artery pressure in patients with pulmonary hypertension [11]. 4D flow CMR patterns can be characterized in terms of flow velocities and volume, flow components and kinetic energy (KE) loss. Compared with LV direct flow, RV direct flow contributed to a larger portion of the RV EDV, and is the main determinant of RV intracavity blood flow KE [12]. Altered blood flow and flow velocities as well as pathological vortices were observed in ten rTOF patients compared with four healthy subjects [13]. Other studies of rTOF patients reported derangements of LV and RV KE [14, 15], abnormal LV diastolic direct flow and increased recirculating residual volume in mild to moderate RV dilation [16]. In a recent study of 58 rTOF [17], the RV was systematically segmented into RV outflow (RVOT) and inflow components, and the respective 4D flow data were analyzed that could quantify intracardiac vorticity and energy loss [18]. Diastolic to systolic quotients of RVOT vorticities and viscous energy losses, both attributable to PR, were found to be significant negatively correlated with peak VO2 and % predicted peak VO2 [17].

We aimed to compare 4D flow measurements in rTOF patients versus age- and gender-matched healthy controls, and investigate the association of these measurements with standard volume and function indexes of RV remodelling as well as quantitative outcomes of CPET.


Study population

From June 2017 to September 2020, 130 patients with rTOF and 150 healthy subjects were prospectively recruited from four centers. After applying exclusion criteria (Fig. 1), 63 rTOF patients (14 paediatric; 49 adult) and 63 age- and gender-matched healthy controls (14 paediatric; 49 adult) were selected to be included in the current analysis. The healthy control group all had no prior cardiovascular disease, pulmonary disease, hypertension, or diabetes mellitus. Additionally, all adult rTOF patients and healthy controls underwent CPET. Detailed inclusion and exclusion criteria for healthy subjects and rTOF patients had been previously registered at (Identifier: NCT03217240). The study protocol had been approved by site Institutional Review Boards. Written informed consent was obtained from all subjects or, where applicable, their parents or legal guardians.

Fig. 1
figure 1

Flow chart. 4D four-dimensional, CMR cardiovascular magnetic resonance, CPET cardiopulmonary exercise testing, rTOF repaired tetralogy of Fallot

Cardiovascular ac magnetic resonance protocol

CMR acquisition was performed with agreed, standardized protocols on all major vendor scanners from the different sites using a 3 T (Ingenia, Philips Healthcare, Best, the Netherlands), 1.5 T (Magneton Aera, Siemens Healthineers, Erlangen, Germany), or 3 T (Discovery, General Electric Healthcare, Chicago, Illinois, USA) CMR scanner, respectively. 2D balanced steady state free precession end-expiratory breath-held short-axis cine images covering the LV and RV from base to apex were acquired along with 2-, 3- and 4-chamber long-axis and RVOT cine images with a temporal resolution of 30 frames per cardiac cycle. Standard through-plane 2D  phase contrast (PC) flow measurement was acquired just above the pulmonary valve in a plane perpendicular to the long axis of the pulmonary trunk. Whole-heart 4D flow CMR was performed with free breathing without respiratory navigator gating following guideline recommendations [19, 20]. Typical 4D flow acquisition parameters are detailed in Table 1.

Table 1 4D flow CMR imaging parameters in this study

CMR data analysis

Biventricular volume analysis

Expert analysis of the imaging data from all sites was performed within one core laboratory. LV and RV volumes and systolic function were measured offline using MASS (version 2019EXP, Leiden University Medical Center, Leiden, The Netherlands) using the protocol previously published [21]. Papillary and trabecular muscles were included as LV and RV volume. RV remodelling index was determined as the ratio of RVEDV to LVEDV [22]. Cut-off values of RVEDV/LVEDV ratio for moderate-to-severe and severe RV remodelling were 1.41 and 2.0, respectively [22]. Tricuspid regurgitation (TR) was visually graded as none, mild, moderate, or severe [23] and the presence of RVOT dyskinesia was assessed by experts (RST, YMZ). Pulmonary valve annulus (PVA) diameter was measured in the RVOT view at end diastole [24]. The inter-ventricular mechanical synchrony index was measured as the time difference to maximal displacement between RV free wall and LV lateral wall using feature tracking in four-chamber long-axis cine images [25,26,27].

2D and 4D flow analyses

Standard 2D PC flow and 4D flow images were analyzed using MASS. 2D PC flow images generated main pulmonary artery flow curve, from which PR volume (PRV) and regurgitant fraction (PRF) were extracted. RV restrictive physiology was identified by the presence of end-diastolic forward flow by experts (RST, YMZ). Main pulmonary artery pulse wave velocity (PWV) was calculated from the slope of the line fitted to the flow-area data, which represents the ratio of flow to area changes during early systole [28].

Error corrections and 4D flow quality checks were performed as previously reported [29,30,31]. Phasic endocardial and epicardial contours from LV and RV volume curves were used for flow component and KE analyses. The positions of path lines at end systole were used to classify flow into 4 functional components [32, 33]: (1) direct flow: blood that enters and exits the ventricle in the analyzed cardiac cycle; (2) retained inflow: enters the ventricle but does not exit during the analyzed cycle; (3) delayed ejection flow: starts within the ventricle and exits during the analyzed cycle; and (4) residual volume: blood that remained in the ventricle for the duration of at least one full cardiac cycle. Each component volume was indexed as a proportion of the total ventricular EDV. Movies with appropriate color legend for RV four flow components in one normal subject and one rTOF patient were provided in Additional file 1.

For each volumetric element (voxel), KE was computed using the following formula:

$$\mathrm{KE}=\frac{1}{2}{\uprho }_{\mathrm{blood}}\cdot {\mathrm{V}}_{\mathrm{voxel}}\cdot {v}_{\mathrm{voxel}}^{2},$$

where \({\uprho }_{\mathrm{blood}}\) is the blood density (1.06 g/cm3); \({\mathrm{V}}_{\mathrm{voxel}}\) voxel volume; and \({v}_{\mathrm{voxel}}\) velocity of the corresponding voxel. All KE parameters are normalized to EDV (KEiEDV) and presented in μJ/ml. KEiEDV parameters—peak systole, average systole and peak E-wave—were extracted from time-resolved KE curves. We further define KE discordance as the RV/LV systolic KEiEDV ratio. Inter-ventricular flow synchrony assessment is based on the difference between RV and LV in time to minimal KE during systole normalized to EDV.

Cardiopulmonary exercise testing

All adult subjects underwent exercise testing to maximal volition, on a Lode BV Corival electronically braked cycle ergometer (Gronigen, Netherlands) within one week of the CMR scan. A ramp protocol was adapted for each subject as previously described [34]. Minute ventilation (VE), VO2, and carbon dioxide output (VCO2) were acquired breath-by-breath, and averaged over 10-s intervals. Predicted peak VO2 was calculated based on proposed normative values [35, 36]. VE/VCO2 slope was calculated via least squares linear regression (y = mx + b, m = slope) using VE and VCO2 values acquired from the initiation of exercise to peak. Patients were stratified by peak VO2 values into two groups: low risk: peak VO2 > 15 ml/kg/min; medium to high risk: peak VO2 ≤ 15 ml/kg/min [37]. The exercise capacity with intermediate and high risks was determined as % predicted peak VO2 ≤ 65% [38].


20 subjects were randomly selected to conduct the reproducibility analysis using the coefficient of variation (CV), which was calculated as the overall residual standard deviation divided by the overall mean of the observations. To assess inter-observer variability, LV and RV endocardial and epicardial contours were segmented by a second independent observer (SL) blinded to the first observer’s results. A second segmentation was performed by the primary observer (XDZ) one month after the initial segmentation to assess intra-observer variability.

Statistical analysis

Data were analyzed using SPSS (version 22.0, Statistical Package for the Social Sciences, International Business Machines, Inc., Armonk, New York, USA). Continuous variables were summarized as mean ± standard deviation (SD) or median (interquartile range), as appropriate. For normally distributed data, the two-sample t-test was used to compare means between two independent groups. For non-normally distributed data, the Mann–Whitney U-Test was used for comparisons between two groups and the Kruskal–Wallis (K-W) non-parametric one-way ANOVA for more than two groups (RVEF subgroups vs healthy controls, RVEDV/LVEDV ratio subgroups vs healthy controls, peak VO2 subgroups vs healthy controls) with post-hoc pair-wise comparisons in the event of a significant K-W test. The chi-square test or Fisher’s exact test, as appropriate, were used for analysis of categorical variables. Associations between continuous variables were assessed using Pearson correlation analysis. Univariate and stepwise multivariable linear regression analyses were used to identify independent predictors of RV dysfunction, RV remodelling index and exercise capacity. Regression residuals were assessed visually for variance homogeneity and via Q–Q plots for normality. Assumptions of variance homogeneity and approximate normality of residuals were found to be tenable overall with adequate sample size to confer normality on coefficient estimates, ensuring valid hypothesis tests and confidence intervals. Receiver operator characteristic (ROC) analysis was performed to assess clinical discriminative utility of 4D flow parameters, and area under the ROC curve (AUC) was used to characterize overall discriminative capability. Agreement between intra- and inter-observer measurements was assessed using intra-class correlation (ICC), paired t-tests and Bland–Altman plots. Statistical significance was set at P < 0.05.


Participant characteristics and myocardial function

Demographic and clinical data are tabulated and compared in Table 2. The median [IQR] ages for healthy controls and rTOF subjects were 30 [22, 42] and 29 [21, 41] years, respectively. There were no significant differences in body surface area (BSA), heart rate, LV mass index, LVEDV index, LVESV index, LV stroke volume index, and LV ejection fraction (LVEF) between the two groups. All rTOF subjects were in sinus rhythm during both CMR and CPET. As expected, rTOF patients had significantly larger RV volumes and lower RVEF compared with healthy controls. Mean PRF among rTOF patients was 44%. Seven rTOF patients had moderate-to-severe TR. Forty-three (68%) rTOF patients had RVOT dyskinesia and RV restrictive physiology. rTOF patients had significant larger PVA diameter than healthy controls (2.7 ± 0.6 cm vs. 2.2 ± 0.3 cm, P < 0.001), and significantly higher PWV (3.3 ± 1.9 m/s vs. 1.9 ± 0.8 m/s, P < 0.01). rTOF patients had significantly higher inter-ventricular mechanical synchrony indexes than healthy controls with time to maximal displacement consistently longer in the RV free wall than LV lateral wall (Additional file 2: Figure S1(A)).

Table 2 Demographic comparison between healthy controls and repaired tetralogy of Fallot (rTOF)

Changes in flow components and kinetic energy profiles

RV direct flow at peak systole, end-systole and peak early diastolic filling for one example each of rTOF patient and healthy subject are shown in Fig. 2. In the RV, rTOF patients had significantly reduced direct flow and increased delayed ejection flow, residual volume, RV peak systolic, average systolic, peak E-wave KEiEDV and KE discordance compared with healthy controls (all P < 0.01, Table 3), whereas in the LV, rTOF patients had significantly higher retained inflow and peak E-wave KEiEDV (both P < 0.01, Table 3). Moreover, rTOF patients had significantly higher inter-ventricular flow synchrony indexes (44 [31, 67] ms vs. 23 [0, 31] ms, P < 0.05) (Additional file 2: Figure S1(B)). There was no significant impact of severity of TR, presence of RVOT dyskinesia and inter-ventricular mechanical dyssynchrony on 4D flow CMR parameters except TR severity on RV peak systolic KEiEDV (Additional file 3: Table S1). There was no significant impact of presence of RV restrictive physiology on 4D flow CMR parameters except RV direct flow, RV peak E-wave KEiEDV and KE discordance (Additional file 3: Table S1). Only RV peak E-wave KEiEDV positively correlated with PVA diameter (R = 0.358), PRF (R = 0.465) and PRV (R = 0.496), and KE discordance negatively correlated with PVA diameter (R = − 0.343) (Additional file 4: Table S2).

Fig. 2
figure 2

Right ventricle (RV) direct flow (green) using particle tracing at peak systole, end-systole and peak early diastolic filling phases in a 30-year-old healthy subject (first row) and a 28-year-old repaired tetralogy of Fallot (rTOF) patient (second row) with respective RV direct flow of 39% and 19%. Yellow circles denote the RV contours from stacks of short axis views. RVOT RV outflow tract

Table 3 Comparison of 4D flow and CPET parameters between healthy controls and repaired tetralogy of Fallot (rTOF)

Changes in cardiopulmonary exercise testing outcomes

Compared with healthy controls, rTOF patients had significantly lower VE, attained metabolic equivalents, peak VO2, % predicted peak VO2, anaerobic threshold, and higher heart rate reserve (all P < 0.001) (Table 3). No correlations were found between RVEDV index, RVESV index, RVEF and CPET outcomes. PRV was positively correlated with % predicted peak VO2 (R = 0.292, P = 0.042) and PRF was positively correlated with VE/VCO2 slope (R = 0.372, P = 0.008).

Association of 4D flow parameters with RV remodelling index, function, and CPET outcomes

Correlation coefficients of 4D flow parameters and RV remodelling index (RVEDV/LVEDV ratio), RVEF and CPET parameters are shown in Table 4. RV direct flow correlated negatively with RVEDV/LVEDV ratio (P < 0.01) and positively with RVEF (P < 0.01), % predicted peak VO2 (P < 0.05) and anaerobic threshold (P < 0.05). RV residual volume correlated negatively with RVEF and positively with RVEDV/LVEDV ratio (both P < 0.01). For RV KE parameters, only RV peak E-wave KEiEDV was positively correlated with RV remodelling, and negatively correlated with exercise capacity (peak VO2, metabolic equivalents, % predicted peak VO2 and anaerobic threshold), but the association persisted for RV remodelling but not for % predicted peak VO2 on multivariable analysis (Table 5).

Table 4 Pearson correlation coefficient R of 4D flow parameters and RV remodelling, RV function and CPET parameters in healthy controls and repaired tetralogy of Fallot (rTOF)
Table 5 Univariate and multivariable linear regression analysis for determinants of RV dysfunction, RV dilation, and exercise capacity in healthy controls and repaired tetralogy of Fallot (rTOF)

A progressive decrease in RV direct flow was observed with decreasing RVEF, and rTOF patients with reduced RV function had significantly reduced RV direct flow and increased RV residual volume compared with healthy controls and rTOF with preserved RV function (Fig. 3A). Compared with healthy controls, RV direct flow, residual volume, and peak E-wave KEiEDV differed significantly between rTOF patient with preserved RV remodelling (RVEDV/LVEDV ratio > 2) vs. abnormal RV remodelling (RVEDV/LVEDV ratio ≤ 2) (Fig. 3B) and with preserved peak VO2 (> 15 ml/kg/min) vs. abnormal peak VO2 (≤ 15 ml/kg/min) (Fig. 3C).

Fig. 3
figure 3

Differences in 4D flow right ventricular (RV) parameters according to RV function; RV remodelling; and peak oxygen uptake (VO2). RV direct flow (left), RV residual volume (middle) and peak E-wave KEiEDV (right) are presented (A) among healthy controls, rTOF with preserved RV function, and rTOF with reduced RV function; (B) among healthy controls, rTOF with preserved RV remodelling and rTOF with abnormal RV remodelling; (C) among healthy controls, rTOF with preserved peak VO2 and rTOF with abnormal peak VO2. *P < 0.05 compared with healthy controls; P < 0.05 compared with rTOF with preserved RV function, and rTOF with preserved RV remodelling, respectively. Error bars denote median—25th percentile (lower) and 75th percentile—median (upper). KEiEDV kinetic energy normalized to end-diastolic volume (EDV), rTOF repaired tetralogy of Fallot

On multivariate analysis, RV direct flow was independently associated with RV dysfunction (\(\widehat{\beta }\)=0.574, P < 0.001) and was the only sensitive marker for predicting CPET outcome in adult rTOF and adult healthy controls (\(\widehat{\beta }\)=0.626, P = 0.034). RV direct flow (\(\widehat{\beta }\)=− 0.025, P < 0.001) and RV peak E-wave KEiEDV (\(\widehat{\beta }\)=0.015, P < 0.001) were independently associated with RV remodelling (Table 5).

ROC analysis demonstrated that RV direct flow (AUC = 0.836, sensitivity = 88%, specificity = 65%, cut-off = 31%) had better discrimination for moderate-to-severe RV remodelling defined as RVEDV/LVEDV ratio > 1.41 than RVEF (AUC = 0.712) (Fig. 4A). In addition, RV direct flow (AUC = 0.615, sensitivity = 54%, specificity = 76%, cut-off = 26%) had better discrimination than RVEF (AUC = 0.585) for intermediate and high risks based on exercise capacity (% predicted peak VO2 < 65%) (Fig. 4B).

Fig. 4
figure 4

Utility of right ventricular (RV) direct flow and RV ejection fraction (RVEF) to detect (A) moderate to severe RV remodelling (RVEDV/LVEDV ratio > 1.41) (B) exercise capacity with intermediate and high risks (% predicted peak VO2 < 65%). AUC area under ROC curve, EDV end-diastolic volume, ROC receiver operating characteristic, LV left ventricle, LVEDV left ventricular end-diastolic volume, RVEDV right ventricular end-diastolic volume, VO2 oxygen uptake


The reproducibility results of RV 4D flow components for 10 healthy controls and 10 rTOF are tabulated in Table 6. Both intra- and interobserver had excellent intraclass correlation coefficients (all > 0.97, P < 0.001). Mean intra- and interobserver differences measurements were small with good limits of agreement (Table 6). Bland–Altman plots of intra- and inter-observer measurements were given in Fig. 5. Coefficients of variation for inter-observer reproducibility were 4.9%, 3.9%, 5.2%, 3.8% for direct flow, retained inflow, delayed ejection flow and residual volume, respectively; and for intra-observer reproducibility 4.5%, 3.9%, 4.7% and 3.1%, respectively.

Table 6 Intra- and interobserver agreement
Fig. 5
figure 5

Reproducibility of right ventricular (RV) 4D flow components. (A) Bland–Altman analysis of intra-observer repeated measurements of RV direct flow (first row), RV retained inflow (second row), RV delayed ejection flow (third row) and RV residual volume (last row); (B) Bland–Altman analysis of inter-observer repeated measurements of RV direct flow (first row), RV retained inflow (second row), RV delayed ejection flow (third row) and RV residual volume (last row)


This large-scale multicenter study aimed to investigate the potential role of 4D flow CMR in a specific pathophysiologic state: PR-induced RV volume overload in rTOF. Compared with healthy controls, we observed lower RV direct flow in rTOF patients. Both RV direct and residual flows exhibited significant correlations with RV remodelling index, RV functional parameters and CPET outcomes. Finally, we demonstrated RV direct flow to be the most discriminative marker for predicting adverse RV remodelling, RV dysfunction and impaired exercise capacity compared with standard RV volume and RVEF measurements.

Relationship between RV direct flow and kinetic energy and differences

Flow component analysis sheds light on the efficiency of blood flow transit [39] and is especially illuminating in our rTOF study population with significant pulmonary regurgitation (mean PRF 44%), which both induces and co-exists with RV modelling. Comparing rTOF subjects with healthy controls, blood flow transit is inefficient despite higher stroke volume as a smaller proportion of flow transits the RV per cardiac cycle (direct flow 25% vs 35%, P < 0.001) and a higher proportion is being recirculated within the chamber (residual volume 39% vs 31%, P < 0.001). KE represents work performed by the RV and is expressed as the product of blood volume and the square of velocity. KE can be segmented temporally into different phases of the cardiac cycle as in the current study and others [40], or more granularly into the different flow components at different times, e.g., LV end-diastolic direct flow KE [33]. In our study, segmenting of KE of all voxels into time-resolved parcels allows dissection into the work done by the RV at various phases of the cardiac cycle as KE of the inflowing blood is transferred into motion of the blood already residing in the RV, converted into potential energy stored in the myocardium, or dissipated as heat. We observed higher KE in rTOF compared with healthy controls, which can probably be explained in part as compensation for PR. Our results corroborate the findings of Robinson et al., who reported in paediatric rTOF patients a non-linear correlation between RV diastolic KE and RVEDV index, a traditional metric of disease progression [40].

RV direct flow, the effective propagation of the tricuspid inflow diastolic vortex into the RVOT, which can then be ejected in systole. This flow property has been studied in prior studies, both in-vivo and in-vitro (by computational fluid dynamics and particle velocimetry), in both normal healthy controls and rTOF patients [41,42,43,44,45]. Moreover, Michail and his colleague [45] showed that PR significantly altered the tricuspid inflow during diastolic phase with increasing viscous energy dissipation in the RV in an in-vitro study. These may explain why RV direct flow significantly reduced in rTOF patients, as demonstrated in our study.

In our study, RV direct flow discriminates for RVEF and RV remodelling index in a multiple linear regression model, which supports its utility as a marker of disease progression and potential of response to recommended or experimental therapies. The association of RV direct flow with exercise capacity is more modest but bears closer examination as there has been a dearth of longitudinal studies on exercise capacity in rTOF, which belies its influence on survival in related conditions like left heart failure [46]. In the largest cross-sectional survey of exercise capacity in rTOF involving 586 patients aged 6 to 63 years, there was a worrisome accelerated decline with age compared to controls [47], which underscores the case for vigilant surveillance. Persistence of the association between RV direct flow and exercise capacity even after accounting for RVEF warrants further longitudinal study investigating its prognostic utility.

Relation to earlier studies

Our findings support the utility of 4D flow CMR-assessed RV direct flow component as a sensitive imaging parameter in the surveillance of paediatric and adult rTOF patients. In rTOF, RV dilation demonstrated little correlation whereas RV direct flow component was related to exercise capacity, which is a reflection of functional health status. Traditional RV function parameters such as RVEF are less sensitive and can remain preserved in both paediatric and adult rTOF patients even in the presence of RV myocardial deformation impairment [48, 49]. CPET provides valuable comprehensive information on peak oxygen uptake and minute ventilation/carbon dioxide production, and is considered a surrogate clinical endpoint. Our study demonstrated that RV direct flow is a more accurate predictor of peak VO2 than the conventional RV volume and function measurements. Future incorporation of these 4D flow CMR imaging parameters may redefine risk prognostication for rTOF patients and potentially be used to guide the need for and timing of intervention (i.e., pulmonary valve replacement).

Ventricular KE measurement is a novel imaging parameter in patients with rTOF. Geiger and Francois previously studied flow patterns and vorticity in rTOF [13, 50] and found altered RV vortex structure. Recently, Jeong et al. provided quantitative intra-cardiac flow KE measurements and showed that rTOF exhibited numerically higher peak systolic KE in both RV and LV than in healthy subjects but did not achieve statistical significance, likely due to the small study sample size (10 rTOF and 9 healthy subjects) [14]. Similarly, Sjoberg et al. found higher RV KE in rTOF than in healthy subjects [15]. Robinson et al. also observed higher diastolic RV KE indexed to segmentation volume in children with rTOF (n = 21) than healthy controls (n = 24) [40], and a non-linear relationship between diastolic RV KE indexed to BSA with RVEDV indexed to BSA. We were able to demonstrate statistically significantly higher KE measurements in rTOF vs. healthy controls in the largest 4D flow CMR rTOF cohort to date. Collectively, these findings suggest that greater ventricular KE is necessary to generate flow in the pulmonary and aortic circulation in rTOF.

Impact of loading conditions on RV flow component and kinetic energy parameters

Within any group of rTOF patients, there is likely to be a wide range of loading conditions, which comprise a mix of preload (from PR and/or TR) and afterload (from valvar and/or stenosis/hypoplasia of main or pulmonary arteries). There is significant impact of PRF and PRV on RV diastolic peak E-wave KEiEDV (R  =  0.465, P <  0.001; and R = 0.496, P < 0.001, respectively) but not the relative RV flow components (Additional file 4: Table S2). The former observation is consistent with the literature. Fredriksson et al. [51] stratified 27 rTOF patients into high (>11%) and low (≤ 11%) PRF groups, and observed turbulent KE (associated with diastolic PR flow) to be significantly higher in the former. The peak total RV turbulent KE (in the diastolic phase with the highest turbulent KE) was the strongest predictor of indexed RVEDV (R2 =  0.47, P = 0.002) in multivariable regression analyses. In Robinson et al. [40], RV diastolic KE was positively linearly correlated to PRF (R2  = 0.54, P < 0.01) among 21 rTOF patients. While there was also fair correlation between diastolic and systolic RV KE suggesting the increased RV systolic energy expenditure may be compensating for the PR—the correlation between RV systolic KE and PRF in rTOF was not reported. There is sparse literature on flow component analysis per se in rTOF. A recent systematic review of 4D flow CMR in rTOF [52] identified 26 studies, but none on 4D flow components. Hence, our findings of the lack of impact of PR on flow components are original. Of note, the significant associations between RV direct flow and RV remodelling index as well as RVEF (Tables 4 and 5) suggest that the morphological and functional consequences of PR rather than its severity at a single point in time dominate RV direct flow in rTOF, which is an interesting observation that is best confirmed with longitudinal assessment.

In this cohort, TR severity, pulmonary valve annulus dimension, main pulmonary artery stiffness (as assessed by PWV) had no significant effects on 4D flow components in rTOF. Second, the degree of dyskinesia of the resected/scarred or patched RVOT anterior wall did not significantly affect RV KE and the direct/retained/delayed flow parameters. Third, 43/63 rTOF patients (68%) had restrictive RV physiology. This relatively high proportion may be attributable to the preponderance of significant PR among our study patients (mean PRF 44%, 78% with PRF > 30%) and the long interval between primary repair and study assessment (median 25 years). Often, in the situation of high RV afterload with normal LV afterload, inter-ventricular dyssynchrony occurs since the end-systole timing of RV is delayed because the RV systolic phase is prolonged—sometimes 80–100 ms after LV end-systole. However, inter-ventricular dyssynchrony had no significant impact on flow components and KE parameters in rTOF patients.

Study implication

The result findings are akin the 4D flow studies of LV heart disease. Among 10 dilated cardiomyopathy patients with well-compensated mild heart failure, 4D flow CMR revealed impaired preservation of LV end-diastolic direct flow KE despite similar LV stroke volumes as controls [33]. In another study involving 22 subjects with primary LV disease, RV dysfunction was demonstrated by RV impaired direct flow and end-diastolic KE but not standard CMR measures [53]. In the current study of 63 rTOF subjects (mean PRF 44%), RV direct flow proportion was significantly reduced compared with healthy controls (25% vs. 35%, P < 0.001) and was independently associated with RV remodelling and, to a lesser extent, exercise capacity. 4D flow CMR provides unique insights into chamber flow dynamics and work in the RV volume overload state, and our findings point to RV direct flow as an indicator of RV maladaptation. Its modest but significant correlation with exercise capacity suggests potential prognostic utility that warrants further longitudinal investigation. Pulmonary valve replacement (PVR) reduces RV size and reserves remodelling and could potentially restore the natural flow dynamic and increase direct flow.


4D RV flow components were correlated with a subject’s functional capacity. These relationships of blood flow component alterations with RV remodelling may elucidate additional mechanisms. However, this study is limited by its design as a cross-sectional observational study, which precludes the inference of causality in relationships. Secondly, the study dataset of the present study was acquired on using multi-vendor scanners (Philips, Siemens and GE) at different field strengths (3.0 T and 1.5 T) and using under different 4D flow CMR protocols. We standardized the CMR image acquisition procedures as much as possible to mitigate technical differences, and all were consistent with current recent consensus recommendations [19]. Each center acquired the data with the accepted spatial resolution and also the temporal resolution was not much different. Both spatial and temporal resolution are in line with the published recommendations for cardiac 4D flow [20]. Improvement in spatial and temporal resolution could result in more accurate particle tracing results, provided that the noise level of the data remains the same. Similarly, the post-processing steps of LV and RV segmentation, volumetric quantification, flow component and kinetic energy analyses were protocolized according to the standard recommendation. Thirdly, this study has a relatively modest sample size, which limits its statistical power. Nevertheless, the study was able to clearly demonstrate RV direct flow component as a superior predictor of adverse RV remodelling and impaired exercise capacity, a surrogate of clinical prognosis, compared with conventional volume and function parameters. None of our paediatric rTOF patients underwent CPET due to logistical reasons. PVR reduces RV size and reserves remodelling and could potentially restore the natural flow dynamic and increase direct flow. To what extent PVR impacts 4D flow parameters would be interested to be studied in the near future. Lastly, future studies with longitudinal follow-up data are needed to investigate the clinical prognostic measurements of 4D flow parameters, although clinical outcomes from CPET have been examined.


Our data demonstrate that the RV direct flow component is sensitive in predicting RV remodelling, dysfunction and, to a lesser extent, exercise intolerance in subjects with RV volume loading in the context of rTOF. Hence, 4D flow CMR parameters are proposed as novel imaging markers that provide additional discriminatory information that may serve as useful surrogate endpoints in clinical follow-up as well as in interventional studies of rTOF. The results of this study suggest that 4D flow CMR parameters may play a valuable predictive role in studies of other physiologic types of right heart failure.

Availability of data and materials

The datasets used and/or analysed during the current study are available from the corresponding author on reasonable request.







Area under ROC curves


Body surface area


Congenital heart disease


Confidence interval


Cardiovascular magnetic resonance


Cardiopulmonary exercise testing


Coefficients of variation




End-diastolic volume


Ejection fraction


Echo-planar imaging


End-systolic volume


Generalized autocalibrating partially parallel acquisition


Intra-class correlation coefficient


Interquartile range


K-adaptive-t autocalibrating reconstruction for Cartesian sampling


Kinetic energy


Kinetic energy normalized to end-diastolic volume


Left ventricle/left ventricular


Left ventricular end-diastolic volume


Left ventricular ejection fraction


Left ventricular end-systolic volume


Metabolic equivalents


Main pulmonary artery




Pulmonary regurgitation


Pulmonary regurgitant fraction


Pulmonary regurgitant volume


Pulmonary valve annulus


Pulmonary valve replacement


Pulmonary valve


Pulse wave velocity


Receiver operating characteristic


Repaired tetralogy of Fallot


Right ventricle/right ventricular


Right ventricular end-diastolic volume


Right ventricular ejection fraction


Right ventricular end-systolic volume


Right ventricular outflow tract


Standard deviation


Echo time


Tetralogy of Fallot


Tricuspid regurgitation

VCO2 :

Carbon dioxide output


Minute ventilation


Velocity encoding

VO2 :

Oxygen uptake

Vvoxel :

Voxel volume

\({v}_{\mathrm{voxel}}\) :

Velocity of the corresponding voxel

ρblood :

Blood density


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This study received funding support from the National Medical Research Council of Singapore (Grant Nos. NMRC/OFIRG/0018/2016, MOH-000358, MOH-000351). The funder had no role in the design and conduct of the study; collection; management, analysis, and interpretation of the data; and preparation, review, or approval of the manuscript.

Author information




RST, JLT, PC, JWY, THT, YMZ and LZ conceived the study design; XDZ, LWH, LS and JCA analyzed data; XDZ, LWH, SL, RST, PC, TJY, YMZ and LZ interpreted results; XDZ, SL and JCA performed statistical analysis; XDZ, LWH, SL and LZ drafted manuscript; XDZ, LWH, SL, RST, PC, JB, LST, MF, TJY, RZO, JCA, MH, PG, SZ, RJG, JWY, THT, JLT, YMZ and LZ edited and revised manuscript. All authors read and approved the final manuscript.

Corresponding authors

Correspondence to Yumin Zhong or Liang Zhong.

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The study protocol was approved by the SingHealth Centralised Institutional Review Board and Domain specific review board. Informed consent was obtained from all participants.

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Written informed consent was obtained from all participants for inclusion of their data in publications.

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Supplementary Information

Additional file 1: Movies showing four-chamber views with right ventricle (RV) four flow components using particle tracing in a 30-year-old normal subject and a 28-year-old repaired tetralogy of Fallot (rTOF) patient. Yellow circles denote the RV contours from stacks of short axis views. Color legend: green (RV direct flow), yellow (RV retained inflow), blue (RV delayed ejection flow), red (RV residual volume).

Additional file 2: Figure S1. (A)

Difference in time to maximal displacement between right ventricle (RV) free wall and left ventricle (LV) lateral wall (Time difference = RV \(-\) LV); (B) Difference in time to minimal kinetic energy normalized to end-diastolic volume during systole between right ventricle (RV) and left ventricle (LV) (Time difference = RV \(-\) LV) for healthy control (left) and rTOF (right).

Additional file 3: Table S1.

4D flow parameters in repaired tetralogy of Fallot (rTOF) with no or mild tricuspid regurgitation (TR) vs. with moderate to severe TR, without RVOT dyskinesia versus with RVOT dyskinesia, without inter-ventricular mechanical dyssynchrony versus with inter-ventricular dyssynchrony, without restrictive physiology versus with restrictive physiology.

Additional file 4: Table S2.

Correlation between 4D flow parameters and PV annulus diameter, MPA stiffness based on PWV index and pulmonary regurgitation parameters in repaired tetralogy of Fallot (rTOF).

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Zhao, X., Hu, L., Leng, S. et al. Ventricular flow analysis and its association with exertional capacity in repaired tetralogy of Fallot: 4D flow cardiovascular magnetic resonance study. J Cardiovasc Magn Reson 24, 4 (2022).

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  • Repaired tetralogy of Fallot
  • Kinetic energy
  • 4D flow CMR
  • Flow components
  • Cardiopulmonary exercise testing