## 2 Materials and Methods  
### Models and Properties  
In this study, a total of 6 aneurysms models were selected from the database created by Dr. [PERSON] and his research group at Universidad de Chile. For this database, patient-specific cerebral aneurysm images were provided by the Instituto de Neurocrirugia Asenjo (INCA), and were obtained using a Phillips Integri Allura 3D Rotational Angiograph. Next, they reconstructed the medical image from a Virtual Reality Modeling Language (VRML) format to a Computer-Aided Design (CAD) model, following the procedure described by [PERSON] et al. [16]. It is important to note that, with the aim of simulation, in the reconstruction process the domain is limited by cutting the blood vessels. The aneurysms were located at different cerebral locations: vertebral arteries (VBA), the internal carotid artery (ICA) and the middle cerebral artery (MCA). Moreover, the aneurysms were classified accordingly to their type (lateral, terminal, and lateral with bifurcation) and rupture status (unruptured or ruptured). The geometric dimensions of an aneurysm (height in yellow, neck diameter in green, and width in cyan) are shown in Figure 1a, corresponding to the medical image, and in Figure 1b, corresponding to the reconstructed model. Of the 6 selected aneurysms, 3 were unruptured and 3 were ruptured. In addition, the models were labeled as A-N, where A corresponds to the aneurysm and N to the patient number. Each of the 6 models are shown in Figure 2. Table 1 shows the rupture status, location, type, and age of the patient in each model and Table 2 shows the geometric dimension values. The reason for selecting aneurysms from different locations, types and sizes was to obtain differentiable results. Given the low number of models under study (6 models), the objective was never to produce a statistical analysis between models or  
Figure 1: (**a**) 3D angiography image from a patient of the Instituto de Neurocrirugia Asenjo (INCA). (**b**) Computational reconstruction (CAD model) from the angiography image and the geometric dimensions (Neck, Height, Width). The model corresponds to A-5. similar. Therefore, the morphological parameters usually used for comparisons in a greater number of models are not included in this study. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**A** & **Rupture** & **Location** & **Type** & **Age** \\ \hline
1 & Yes & ICA & Lateral & 80 \\
2 & Yes & ICA & Terminal & 45 \\
3 & Yes & ICA & Lat-Bif. & 46 \\
4 & No & VBA & Lateral & 52 \\
5 & No & MCA & Terminal & 59 \\
6 & No & ICA & Lat-Bif. & 52 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Rupture status, location, type, and patient age of each aneurysm model. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**A** & **Neck [mm]** & **Width [mm]** & **Height [mm]** & **Volume [mm\({}^{3}\)]** \\ \hline
1 & 4.54 & 6.93 & 8.40 & 231.21 \\
2 & 4.09 & 4.83 & 4.74 & 41.66 \\
3 & 2.88 & 3.31 & 7.21 & 97.30 \\
4 & 2.28 & 4.41 & 3.55 & 20.77 \\
5 & 5.96 & 5.90 & 4.45 & 53.90 \\
6 & 4.82 & 5.49 & 4.46 & 107.32 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Geometric dimensions values of each aneurysm model. Figure 2: The six cerebral aneurysms models under study. From A-1 to A-3 (**left**) are ruptured and from A-4 to A-6 (**right**) are unruptured. The blood flow inside the small cerebral arteries was considered as transient, laminar, incompressible, and the [PERSON] non-Newtonian model was implemented (Equation (1)), with a blood density of 1065 kg/m\({}^{3}\)[17; 18]. \[\sqrt{\tau}=\sqrt{\mu_{0}\dot{\gamma}}+\sqrt{\tau_{o}} \tag{1}\]  
where \(\mu_{0}\) is the newtonian viscosity given as 0.0036 Pa\(\cdot\)s and \(\tau_{o}\) is the yield stress. For the arterial wall, we considered a density of 1125 kg/m\({}^{3}\)[19] and a hyperelastic material, with the five parameter Mooney-Rivlin model (Equation (2)), following the results measured by [PERSON] et al. and similar to those of [PERSON] et al. [20; 21]. For the thickness of each aneurysm model, we considered a constant value of 0.35 mm [22].