Yu-Ru Yang1, Meng-Chu Chang1, Ming-Ting Wu2, Ken-Pen Weng3, and Hsu-Hsia Peng1
1Biomedical Engineering and Environmental Sciences, National Tsing Hua University, Hsinchu, Taiwan, 2Radiology, Kaohsiung Veterans General Hospital, Kaohsiung, Taiwan, 3Pediatrics, Kaohsiung Veterans General Hospital, Kaohsiung, Taiwan
Synopsis
We aim to evaluate aortic kinetic energy
(KE) and viscous energy loss (EL) in repaired tetralogy of Fallot (rTOF) patients
with different degrees of aortic regurgitation fraction (RF). The rTOF1 group
(RF<2%) demonstrated decreased systolic KE in arch and descending aorta,
suggesting the mild altered aortic flow. The rTOF2 group (RF≧2%)
presented significantly elevated RF in arch and descending aorta, increased
systolic KE from distal ascending aorta to proximal descending aorta, and decreased
systolic EL in ascending aorta and distal arch. In conclusion, the systolic KE
may provide earlier evidence of abnormal aortic flow before serious aortic
regurgitation.
Introduction
Aortic
dilatation and regurgitation are prevalent in patients with repaired tetralogy
of Fallot (rTOF) [1]. Aortic regurgitation may contribute to progressive aortic
root dilatation in rTOF patients [2]. Recently, pathologic conditions such as
regurgitation or aneurysm were reported to cause additional aortic viscous energy
loss (EL), describing the friction produced by fluid viscosity, and
consequently result in ventricular remodeling [3]. Secondary helices were found
in ascending aorta of rTOF patients and abnormal aortic flow was associated
with increased EL [4].
Ventricular kinetic
energy (KE) was proposed to provide a new insight to assess ventricular
performance in rTOF patients [5]. However, a systematic investigation of aortic
regurgitation, KE and EL in patients with rTOF is deficient. The purpose of
this study was to evaluate the aortic KE and EL in rTOF patients with different
degrees of aortic regurgitation. Methods
The study population comprised 15 patients
with rTOF (age 21.7±3.3
years, 7 females) and 12 age-matched normal volunteers
(age 21.3±0.6
years, 6 females). The 4D flow data were acquired in a 3 Tesla MR scanner (Tim Trio or
Skyra, Siemens) with prospective ECG-triggering (acquire 85%-90% of RR
interval) and navigator-gating to synchronize with heartbeat and respiratory motion,
respectively. Typical scanning parameters were: TR/TE=10.8/2.9 ms, voxel
size=3.2x1.4x3.5 mm3, flip angle=7°, Venc=150 cm/s, and temporal
resolution=41.6 ms. Fourteen planes were localized perpendicularly to the
long-axis of aorta in the 4D flow data-derived MR angiography (Figure 1a). The rTOF patients were
divided to rTOF1 group (n=8) with aortic regurgitation fraction (RF)<2% and
rTOF2 group (n=7) with RF≧2%. The threshold of 2% was decided
by the mean+standard deviation of RF of the 14 planes along the aorta in normal
group. The regions-of-interest (ROI) of the aortic lumen were
manually determined in magnitude images and transferred to phase images for
computation of aortic flow. The aortic peak diameter index is the maximum
aortic diameter during the cardiac cycle normalized by body surface area. The aortic RF
was calculated by (Figure 1b): $$RF=\frac{retorgrade flow}{antegrade flow}\times100%$$The systolic KE was calculated by (Figure
1c): $$KE=\frac{1}{2}{\rho}Vv^{2}$$ where V is the volume
of voxel, v is
velocity and ρ is the blood
density with a value of 1060 kg/m3. The aortic EL of each time frame was calculated
by: $$Φv=\frac{1}{2}\sum_i\sum_j{[(\frac{\partial v_{i}}{\partial v_{j}}+\frac{\partial v_{j}}{\partial v_{i}})-\frac{2}{3}(\triangledown{v})\delta_{ij}]}^{2}, where δij=1 for i=j, δji=0 for i≠j, EL=\mu\sum_{i=1}^{num voxel}ΦvVi $$where Φv is the rate of viscous energy dissipation of
each voxel, i and j represent the principal directions x, y, z, and μ is the viscosity of blood as 0.004 Pa·s in
Newtonian fluid. The aortic systolic EL was computed by the integration of EL
during systolic phases (Figure 1d). Student t test was
performed when appropriate p<0.05 was considered statistically significant.Results
The demographics and hemodynamic characteristics in normal and two rTOF
groups were summarized in Table 1. Compared to normal group, both rTOF1 and
rTOF2 groups exhibited dilated indexed right ventricular end diastolic
(p<0.001 and p=0.004) and systolic (both p=0.002) volumes. The rTOF2 group showed
significantly lower right ventricular ejection fraction than normal and rTOF1
groups (both p<0.05). In Figure 2, both rTOF1 and rTOF2 groups presented
increased peak diameter index at ascending aorta (p<0.05). Solely in rTOF2
group, patients exhibited higher RF in aortic arch and descending aorta
(p<0.05) than that in normal and rTOF1 groups. In comparison to normal group,
both rTOF subgroups demonstrated decreased systolic KE in planes of aortic arch
and descending aorta (p<0.05); meanwhile, rTOF2 group also displayed reduced
systolic KE in distal ascending aorta (p<0.05). As for systolic EL, only the
rTOF2 group presented significantly decreased systolic EL in ascending aorta
and distal aortic arch (p<0.05).Discussion and conclusion
In this study, rTOF2 group presented significantly
dilated ascending aorta, elevated RF in arch and descending aorta, increased
systolic KE from distal ascending aorta to proximal descending aorta, and decreased
systolic EL in ascending aorta as well as in distal arch. The rTOF1 group, who
possess comparable RF with normal group, only demonstrated increased diameter
in ascending aorta and decreased systolic KE in arch and descending aorta,
suggesting the mild altered aortic flow.
Viscous
energy loss, which is formed by the friction between moving blood and vessel
walls, is unavoidable but can be reduced by slight increase in the radius of
the vessel [3]. Therefore, we speculated that the increase of aortic diameter might
lead to reduced systolic EL in rTOF2 group, particularly in ascending aorta.
Intraventricular
kinetic energy is required to generate flow and may provide earlier evidence of
ventricular dysfunction [5]. In this study, we further investigated the aortic
KE in rTOF patients. We found that the rTOF1 group presented normal RF and
preserved systolic EL while the systolic KE in planes from arch to descending
aorta already exhibited decreased systolic KE, suggesting that systolic KE
might be an earlier indication for altered aortic flow patterns.
In conclusion, the
systolic KE in aorta may provide earlier evidence of abnormal aortic flow
before serious aortic regurgitation and altered energy loss.Acknowledgements
No acknowledgement found.References
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