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. 2023 Nov 18;13:20211. doi: 10.1038/s41598-023-47532-8

Table 1.

Summary of geometric parameters selected for this study and respective motivations.

Parameter Motivation
Number of side branches

(1) Side branches can affect the implantation procedure since fixation wires could deploy into the side

branches, resulting in skewed device implantation positions

(2) Side branches near the implanted sensor covering of side branches by the sensor can results in complex, disturbed flows causing thrombus formation

Diameter

(1) Larger diameters of the landing site are associated with less secure fixation, whereas lower diameters can

result in higher degrees of the stenosis due to the vessel cross-section being reduced by the device

(2) At a fixed volumed flow rate, larger vessel diameters are associated with lower WSS, which are known to promote thrombus formation, whereas the sensor is more likely to cause flow separation and recirculation regions in smaller vessels, also promoting thrombus formation

Length Larger vessel lengths will result in higher probabilities to identify a suitable the landing zone for the device without side branches
Bifurcation angle Larger bifurcation angles are associated with flow disturbance (flow separation and recirculation zones) due to the change of the flow direction, which again can promote thrombus formation
Vessel taper The vessel taper T was defined as T = (Din − Dout)/L, where L is the vessel segment length and Din with Dout are vessel segment diameters at the vessel segment inlet and outlet. The vessel tapering aims to compensate WSS reduction due to flow rate reduction caused by side branches. Higher tapering accelerates flow thus reducing the danger of flow separation
Curvature index CI The curvature index (CI) of the LPA or RPA vessel is defined as the ratio of the length of the line connecting start- and endpoints of the vessel segment centreline and the length of the real, curved centreline. A curvature index of the 1 means that the vessel is characterised by a straight centreline. The lower the curvature index, the higher the vessel curvature, which can cause flow separation and recirculation regions. Furthermore, a strongly curved vessel means that it is more challenging to deploy the sensor in a position that is entirely parallel to the vessel wall
Enlargement index EnI The enlargement index (EnI) was defined as EnI = (1 − ((DLPA2 + DRPA2)/DMPA2))2, where D is the diameter of the MPA, LPA and RPA, respectively. This function is proposed in technical fluid mechanics to describe the pressure loss coefficient in a sudden expansion due to formation of recirculation regions21. Like the curvature index, higher enlargement indices are associated with disturbed flow conditions