## 3 Results  
The patient characteristics are presented in Table 1. In Table 2, median values of hemodynamic and morphologic parameters are presented. Of the selected TAA patients, 13 presented with an aneurysm in the aortic root and 7 with an ascending aorta aneurysm. The mean TAA diameter and mean blood velocity were 50.8 \(\pm\) 2.7 mm and 42.5 \(\pm\) 14.9 cm/s, respectively. \begin{table}
\begin{tabular}{c c} \hline \hline
**Characteristic** & **Quantity** \\ \hline Population size & 20 \\ Male (\%) & 18 (90\%) \\ Age (years) & \(53\pm 14\) \\ Height (cm) & 186 \(\pm\) 8 \\ Weight (kg) & 90 \(\pm\) 11 \\ TAA diameter (mm) & 50.8 \(\pm\) 2.7 \\ Heart rate (bpm) & 68 \(\pm\) 11 \\ Stroke Volume (mL) & 105 \(\pm\) 24 \\ Cardiac Output (L min\({}^{-1}\)) & 7.0 \(\pm\) 1.8 \\ Systolic blood pressure (mm Hg) & 132 \(\pm\) 14 \\ Diastolic blood pressure (mm Hg) & 81 \(\pm\) 7 \\ Trigger delay peak systole—2 phases (ms) & 102 \(\pm\) 31 \\ Trigger delay peak systole—1 phase (ms) & 133 \(\pm\) 32 \\ Trigger delay peak systole (ms) & 163 \(\pm\) 34 \\ Trigger delay peak systole + 1 phase (ms) & 194 \(\pm\) 35 \\ Trigger delay peak systole + 2 phases (ms) & 224 \(\pm\) 36 \\ \hline \end{tabular} Data notated as the mean \(\pm\) standard deviation and presented over all subjects. Abbreviation: TAA—thoracic aortic aneurysm.  
\end{table} 
Table 1: Population characteristics. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Parameter** & \multicolumn{6}{c}{**Anatomical Segments**} \\ \cline{2-7}  & **AoR** & **pAA** & **dAA** & **AoA** & **pDA** & **dDA** \\ \hline
**Flow** & 7.5 & 9.8 & 6.3 & 5.7 & 6.5 & 4.7 \\
**Displacement (\%)** & (5.3–10.2) & (7.1–16.2) & (4.9–9.0) & (4.7–6.5) & (5.8–7.6) & (4.1–5.7) \\ \hline
**Flow Jet Angle (\({}^{\circ}\))** & 17.6 & 17.6 & 14.8 & 14.6 & 15.7 & 9.1 \\  & (13.7–21.9) & (11.9–27.0) & (10.2–21.3) & (12.5–17.3) & (13.1–18.4) & (7.6–10.6) \\ \hline
**WSS magnitude (mPa)** & \begin{tabular}{c} 561 \\ (483–654) \\ \end{tabular}  & \begin{tabular}{c} 763 \\ (570–896) \\ \end{tabular}  & \begin{tabular}{c} 750 \\ (595–955) \\ \end{tabular}  & \begin{tabular}{c} 746 \\ (560–992) \\ \end{tabular}  & \ \begin{tabular}{c} 877 \\ (706–1112) \\ \end{tabular}  & \begin{tabular}{c} 939 \\ (785–1179) \\ \end{tabular}  \\ \hline
**Axial WSS (mPa)** & \begin{tabular}{c} 371.9 \\ (335–478) \\ \end{tabular}  & \begin{tabular}{c} 627.9 \\ (432–734) \\ \end{tabular}  & \begin{tabular}{c} 702.6 \\ (432–734) \\ \end{tabular}  & \begin{tabular}{c} 700.6 \\ (551–893) \\ \end{tabular}  & \begin{tabular}{c} 801.5 \\ (525–949) \\ \end{tabular}  & \ \begin{tabular}{c} 915.2 \\ (670–1045) \\ \end{tabular}  & \begin{tabular}{c} 748–1145) \\ \end{tabular}  \\ \hline
**Circumferential WSS** & 331 & 331 & 204 & 182 & 243 & 205 \\
**(mPa)** & \begin{tabular}{c} (286–410) \\ \end{tabular}  & \begin{tabular}{c} (247–405) \\ \end{tabular}  & \begin{tabular}{c} (159–262) \\ \end{tabular}  & \begin{tabular}{c} (153–215) \\ \end{tabular}  & \ \begin{tabular}{c} (180–296) \\ \end{tabular}  & \begin{tabular}{c} (147–244) \\ \end{tabular}  \\ \hline
**WSS angle (\({}^{\circ}\))** & \begin{tabular}{c} 42.5 \\ (37.4–45.7) \\ \end{tabular}  & \begin{tabular}{c} 32.0 \\ (26.8–37.1) \\ \end{tabular}  & \begin{tabular}{c} 18.3 \\ (13.7–24.0) \\ \end{tabular}  & \begin{tabular}{c} 14.0 \\ (12.1–16.9) \\ \end{tabular}  & \ \begin{tabular}{c} 16.8 \\ (14.4–20.2) \\ \end{tabular}  & \begin{tabular}{c} 11.7 \\ (9.6–14.4) \\ \end{tabular}  \\ \hline
**Vorticity Norm** & \begin{tabular}{c} 18,882 \\ (16,767–1) \\ \end{tabular}  & \begin{tabular}{c} 12,909 \\ (10,629–15,526) \\ \end{tabular}  & \begin{tabular}{c} 10,390 \\ (7695–12,407) \\ \end{tabular}  & \begin{tabular}{c} 11,338 \\ (9273–14,205) \\ \end{tabular}  & \ \begin{tabular}{c} 14,422 \\ (11,800– \\ 19,372) \\ \end{tabular}  & \begin{tabular}{c} 14,150 \\ (11,164– \\ 17,990) \\ \end{tabular}  \\ \hline
**Absolute Helicity** & \begin{tabular}{c} 3084 \\ (2327–3603) \\ \end{tabular}  & \begin{tabular}{c} 1997 \\ (1287–2729) \\ \end{tabular}  &