Page 156 - Artificial Intelligence for Computational Modeling of the Heart
P. 156

128  Chapter 4 Data-driven reduction of cardiac models




                                         4.1.3 Results
                                            The proposed methodology was evaluated in three steps, de-
                                         scribed in the following.

                                         4.1.3.1 Validation on synthetic anatomical models
                                            The synthetic datasets were split randomly using a ratio of 5:1
                                         into training and validation datasets. Hence, 2000 out of the 12 000
                                         synthetically generated anatomical models were used for an initial
                                         validation step. CFD based FFR was compared with ML based FFR
                                         at all centerline locations and obtained an almost perfect correla-
                                         tion results (ρ = 0.9998, p <0.001). The mean difference between
                                         cFFR ML and cFFR CFD was 0.0008 (no systematic bias). When
                                         considering CFD based FFR as ground truth, and employing 0.8
                                         as binary cut-off value, ML based FFR has an accuracy of 99.7%.

                                         4.1.3.2 Validation on patient specific anatomical models
                                            A dataset based on 87 patients was further employed for vali-
                                         dation. An anatomical model was reconstructed for each patient
                                         from the CT data, using centerline detection and lumen border
                                         segmentation, as described in [322,328]. As for the synthetic eval-
                                         uation dataset, the correlation between cFFR ML and cFFR CFD ,
                                         at all coronary centerline locations, was excellent (ρ = 0.9994,
                                         p <0.001) and the Bland–Altman analysis revealed no systematic
                                         bias: mean difference −0.00081 ± 0.0039 (Fig. 4.7,Fig. 4.8). The
                                         mean computation time was 2.4 ± 0.44 seconds for ML based
                                         FFR, and 196.3 ± 78.5 seconds for CFD based FFR, both on a
                                         standard desktop computer (3.4 GHz Intel i7 8-core CPU). For
                                         a more detailed analysis the individual centerline locations have
                                         been grouped into 5 bins, based on the cFFR CFD values: 0.0–0.6;
                                         0.6–0.7; 0.7–0.8; 0.8–0.9; 0.9–1.0. The bins were defined either
                                         globally or separately for the three main coronary branches: LAD
                                         (Left Anterior Descending), LCx (Left Circumflex) and RCA (Right
                                         Coronary Artery). The results of this detailed comparison between
                                         cFFR ML and cFFR CFD analysis are displayed in Table 4.2: overall
                                         the agreement between cFFR CFD and cFFR ML is very high for all
                                         locations and all bins.

                                         4.1.3.3 Validation against invasively measured FFR
                                            FFR was measured invasively for 125 stenoses in the above
                                         mentioned dataset containing 87 patients. The exact measure-
                                         ment location was set either around 2 cm distal from the steno-
                                         sis [317] or, if available, extracted from the coronary angiogra-
                                         phies displaying the pressure wire. All lesions with FFR ≤ 0.80
                                         were considered hemodynamically significant [327] (38 out of 125
   151   152   153   154   155   156   157   158   159   160   161