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124  Chapter 4 Data-driven reduction of cardiac models
































                                         Figure 4.3. Multiscale model of the systemic and coronary arterial circulation.


                                         microcirculation to correctly capture the effect of myocardial con-
                                         tractions on the coronary flow conditions.
                                            Since invasive coronary measurements are not available and
                                         the goal was to develop a fully non-invasive approach, the per-
                                         sonalization of the boundary conditions is performed based on
                                         allometric scaling laws. Thus, first a healthy reference radius is es-
                                         timated for each branch. Next, the total coronary flow at rest is
                                         defined based on the reference radiuses of all branches [337,349],
                                         and is then distributed to all outlets of the coronary anatomical
                                         model based on the Murray law [338]. Finally, the microvascu-
                                         lar resistances at each outlet are determined through an iterative
                                         calibration procedure which automatically tunes the parameters
                                         [350]. Since FFR is measured invasively during hyperemia, this
                                         state is also simulated in the CFD model, by appropriately de-
                                         creasing the total microvascular resistance for each outlet bound-
                                         ary condition [343]. CFD based FFR is then determined at each
                                         centerline location as ratio of mean pressure at that location and
                                         the mean pressure in the aorta.

                                         4.1.2.3 Machine-learning based FFR computation
                                            Although in practice FFR is determined at a limited number of
                                         locations, to allow the radiologist to probe any coronary location,
                                         the goal was to predict FFR independently at any centerline loca-
                                         tion in the reconstructed anatomical model. Thus, a set of features
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