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Chapter 4 Data-driven reduction of cardiac models 119




                     percentage diameter stenosis, determined during invasive coro-
                     nary angiography (ICA). The degree of reduction in lumen di-
                     ameter may be determined either visually or through computer-
                     assisted quantitative coronary angiography [314].
                        Non-invasive imaging techniques, like Coronary Computed
                     Tomography Angiography (CCTA), play nowadays an increasingly
                     important role for CAD diagnosis, prior to ICA. CCTA has been
                     shown to provide a high negative predictive value, but, by overesti-
                     mating the lesion severity [315,316], it also leads to a large number
                     false positives.
                        The purely anatomical CAD assessment, irrespective of the
                     medical imaging modality, does not correlate closely with the
                     functional significance of the coronary lesions. Hence, the diag-
                     nostic measure of Fractional Flow Reserve (FFR) has been pro-
                     posed as an alternative [317]. FFR is defined as the ratio of cycle-
                     averaged pressure distal to the stenosis and cycle-averaged aortic
                     pressure, both measured during hyperemia. It represents a sur-
                     rogate measure for the reduction of hyperemic flow caused by
                     the stenosis, and has been shown to lead to superior long-term
                     patient outcomes, when compared to the purely anatomical as-
                     sessment [318]. Although FFR is now the gold standard in inter-
                     national guidelines [319,320], it is still not used at a large scale,
                     mainly due to the higher costs and risks, and the longer procedure
                     times [321].
                        In view of these limitations, approaches based on compu-
                     tational fluid dynamics (CFD) have been introduced for deter-
                     mining FFR non-invasively from medical images acquired at rest
                     [322–329]. These models are run under patient-specific condi-
                     tions: the coronary anatomical model is reconstructed from med-
                     ical images, and physiological information is derived and em-
                     ployed for model personalization. The CFD models consist of
                     partial differential equations, which can be solved only numeri-
                     cally, leading to a very large number of algebraic equations. Thus,
                     the solution requires several hours in case of high-fidelity three-
                     dimensional models, and several minutes in case of reduced-
                     order models [315,330]. Due to the computationally intensive as-
                     pect of CFD models, and the time-consuming process required
                     for generating the anatomical model, they are not used for intra-
                     operative assessment and planning, where real-time performance
                     is required. Alternatively, artificial intelligence based solutions
                     may be employed, capable of providing results instantaneously. To
                     develop such solutions, a large training database is required, con-
                     taining input–output data pairs, where input data is represented
                     by the vascular geometry, and the output is FFR [331]. Once the
                     training phase has been completed, the online application pro-
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