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122  Chapter 4 Data-driven reduction of cardiac models






                      Table 4.1 Parameters with pre-defined value ranges employed in the generation of the synthetic
                                                       coronary trees.

                                  Step  Parameter               Range
                                        Number of main branches  3 (LAD, LCx, RCA)
                                  Step 1 Number of side branches (1st gen.) 2–5
                                        Number of side branches (2nd gen) 0–2
                                        Root radius [336]       0.15–0.35 cm
                                        Power coefficient [332,337,338]  2.1–2.7
                                                                0.35–0.45 (main branch)
                                  Step 2 Area ratio [339]
                                                                0.6–0.8 (side branch)
                                        Degree of tapering [340]  −20% to +5% from top to bottom
                                        Length [341]            1.5–4 cm
                                        Bifurcation angle [336,342]  30–90 degrees




                                         rameters: percentage diameter stenosis, stenosis length, stenosis
                                         center, length of the stenosis region with minimum radius, proxi-
                                         mal – distal radius variation (radius tapering). Both single branch
                                         and bifurcation stenoses are generated. The Medina classification
                                         is employed in case of bifurcation stenoses, and for each stenosed
                                         bifurcation segment the above mentioned parameters are inde-
                                         pendently set. Fig. 4.2 displays an overview of the stenosis specific
                                         properties. Parameter sampling is based on a uniform distribu-
                                         tion, except for the left main and RCA ostial radius, and the per-
                                         centage diameter stenosis, for which a normal distribution has
                                         been chosen.
                                            A database of 12.000 synthetic coronary arteries was generated
                                         reflecting anatomical variations of stable CAD patients. While a
                                         wide range of pathological configurations encountered in clin-
                                         ical practice is covered, some seldomly encountered coronary
                                         anatomies, e.g. aneurysms, are not covered.

                                         4.1.2.2 CFD-based hemodynamic computations
                                            The methodology described in the previous paragraph cov-
                                         ers the generation of the input data in the training database. To
                                         generate the corresponding output, a reduced-order multiscale
                                         fluid-structure interaction hemodynamic model is employed to
                                         compute the CFD based FFR values. The model was described in
                                         details in [315], and then validated in several clinical studies by
                                         comparison against invasively measured FFR. The diagnostic ac-
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