## 2 Materials and Methods
### Material Properties  
The structural properties of the arterial wall required for establishing FSI simulations are perceived from [PERSON] et al. [24]. Moreover, the fluid properties mimicking blood composed of blood plasma and RBC are adopted from an earlier study [16]. These are further listed in Table 1.  
Development of 3D Models for Simulation (Computational Fluid Dynamics (CFD) and Fluid-Solid Interaction (FSI))  
Numerical analysis tool ANSYS version 2020R\({}_{1}\) was used to import the reconstructed 3-dimensional stereo lithographic (.stl) model, as shown in Figure 1b. However, the FSI model was constructed of fluid and solid domains representing blood and the wall respectively, later developed using ANSYS, are shown in Figure 1b,c.  
The elastic wall of 0.5 mm thickness was generated by referring to the previously published manuscript [24] using the blood domain volume model. The geometrical details of the LCA revealed in Figure 3 had dimensions given in Table 2.  
\begin{table}
\begin{tabular}{l l} \hline \hline
**Parameters** & **Value** \\ \hline Primary Phase & \\ Density of Plasma (\(\rho_{\text{p}}\)) & 1003 kg/m\({}^{3}\) \\ Viscosity & 0.0013 kg/m-s \\ \hline Secondary Phase & \\ RBC (Red Blood Cells) Density (\(\rho_{\text{RBC}}\)) & 1096 kg/m\({}^{3}\) \\ Granular diameter of RBC & 8 μm \\ RBC volume fraction & 0.45 \\ Coefficient of Restitution, (e) & 0.99999 \\ Coefficient of Wall restitution (\(\text{e}_{\text{w}}\)) & 0.9999 \\ Coefficient of Specularity (\(\varphi\)) & 0.60 \\ packing limit of RBC, (\(\epsilon_{\text{s}}\))\({}_{\text{max}}\) & 0.70 \\ Viscosity model & Carreau model \\ Time Constant (\(\lambda\)) [s], & 3.313 \\ Index of Power-Law (\(n\)) & 0.3568 \\ Zero shear viscosity (\(\mu_{0}\)) & 0.056 (kg/m-s) \\ Infinite shear viscosity (\(\mu_{\infty}\)) & 0.00345 (kg/m-s) \\ \hline Structural Properties & \\ Artery Wall Density(\(\rho_{\text{s}}\)) & 1300 kg/m\({}^{3}\) \\ Wall thickness & 0.5 mm \\ Young’s Modulus & 1.08 (MPa) \\ Poisson’s ration(v) & 0.49 \\ Bulk Modulus & \(1.8\times 10^{7}\) (Pa) \\ Shear Modulus & \(3.6242\times 10^{5}\) (Pa) \\ \hline \hline \end{tabular}
\end{table}
Table 1: Properties of blood plasma, RBC and structural properties of artery wall [16; 24].  
Figure 2: Inlet pulsatile blood flow in the left coronary artery (LCA) model [20].  
The 3D-blood domain and artery wall models were meshed separately, and their interface between fluid-solid domain is shown in Figure 4.  
\begin{table}
\begin{tabular}{l c} \hline \hline
**Parameters** & **Dimensions** \\ \hline Length of Left Main (LM) & 9.91 mm \\ Length of left circumflex (LCx) & 66.27 mm \\ Length of Left anterior descending (LAD) & 82.29 mm \\ Vessel wall thickness & 0.5 mm \\ Diameter of LM along Inlet & 3.186 mm \\ Diameter of LAD along Outlet & 2.168 mm \\ Diameter of LCx along Outlet & 2.823 mm \\ Area of inlet (LM) & 7.9715 mm\({}^{2}\) \\ Angulation between LCx and LAD & 78.48\({}^{\circ}\) \\ \hline \hline \end{tabular}
\end{table}
Table 2: Geometrical details of actual patient left coronary artery (LCA) model.  
Figure 3: Geometrical details of Left anterior descending (LAD) and left circumflex (LCx) branches with cross-sectional (CS) planes at stenosis regions of Left Coronary artery (LCA).