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Chapter 4 Data-driven reduction of cardiac models 121























                     Figure 4.1. Overall workflow of the proposed method.


                        While the training process is based solely on synthetic arte-
                     rial trees, FFR is computed during the online prediction phase for
                     patient-specific coronary anatomies. This step is fully automated,
                     consisting of feature extraction, application of the pre-learned
                     model to compute cFFR ML at all locations of the coronary tree,
                     and visualization of the color coded coronary tree (see Fig. 4.1).
                        The generation of the patient-specific coronary geometry is
                     semi-automatic: an initial version of the coronary centerlines and
                     luminal contours is computed automatically, and then edited by
                     the user after careful inspection [335]. Once the coronary geome-
                     try is available, features are extracted.


                     4.1.2.1 Generating synthetic coronary arterial trees
                        The synthetic coronary arterial trees used for setting up the
                     training database are generated algorithmically. As displayed in
                     Fig. 4.2 this is done in three sequential stages. During the first
                     stage, the structure of the coronary tree is determined, i.e. num-
                     ber of generations and number of segments. During the second
                     stage, first the length of each segment is set, and, next, the ves-
                     sel radius at each location is defined (including tapering). These
                     properties are determined by a set of parameters, whose values
                     are randomly sampled in a pre-defined interval (Table 4.1): the
                     interval limits have been chosen to ensure that a large range of
                     anatomical variations is covered, leading to a large range of varia-
                     tions in the derived hemodynamic quantities.
                        The first two stages enable the generation of healthy coronary
                     anatomical models. The third stage inserts stenoses into the coro-
                     nary trees. Thus, the number of stenoses is set randomly between
                     zero and three for LAD, LCx and RCA, and between zero and two
                     for their side branches. Each stenosis is defined by a set of pa-
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