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Chapter 6 Additional clinical applications 191




                     consists in performing blood pressure measurements in the upper
                     and lower body extremities, and computing the difference [428].
                        As described in section 2.4, a different approach relies on Com-
                     putational Fluid Dynamics (CFD) for performing patient-specific
                     blood flow computations. Compared to traditional techniques,
                     the main advantage of a CFD based tool is that it offers the poten-
                     tial to also simulate post-treatment hemodynamics or flow under
                     different conditions such as stress, which would normally have to
                     be induced pharmacologically. Furthermore CFD is able to pro-
                     vide quantities that are not available through measurement, e.g.
                     Wall Shear Stress (WSS) or WSS-derived quantities. As comput-
                     ing power and technology improved over the years, CFD has been
                     used increasingly as a research tool for studying aortic flow under
                     patient-specific conditions and different physiological assump-
                     tions: rigid vessel walls [429,430] or compliant walls [431–433],
                     personalized inlet boundary conditions [434], idealized [433]or
                     reduced order CFD modeling [435,436], etc.
                        CFD based approaches were also proposed for assessing aortic
                     coarctation patients. These methods typically rely on medical im-
                     ages acquired through either magnetic resonance imaging (MRI)
                     [437] or Computed Tomography (CT) [229], in addition to some
                     physiological parameters, such as cuff blood pressures or echocar-
                     diographic flow velocities.
                        Ituetal. [436] proposed a non invasive workflow, based on
                     MRI data, for hemodynamic assessment of aortic coarctation, re-
                     lying on a reduced-order CFD model coupled with a pressure drop
                     model for the CoA segment. The pressure drop model was based
                     on the work previously published by Young and Tsai [438], and in-
                     tegrated into the reduced-order model for accurate computation
                     of energy losses at the CoA site. However, the pressure drop model
                     was designed and developed based on idealized stenotic shapes,
                     which do not reflect the complexities and anatomical variabilities
                     of aortic coarctation.
                        As machine learning (ML) evolved and was successfully ap-
                     plied to solving more complex problems, it also gained popular-
                     ity as a technique for accelerating/replacing complex computa-
                     tions that would normally require long execution times such as
                     computational fluid or structural dynamics. Liang et al. [439]pro-
                     posed a machine learning approach for replacing computation-
                     ally demanding Finite Element Method (FEM) computations for
                     predicting surface stress distribution in aortic vessels. Specifically,
                     they performed a large number of FEM computations on syn-
                     thetically generated aortic vessels, and then trained a neural net-
                     work to directly predict the surface stress distribution using only
                     the vessel shape as input. Similarly, Liang et al. [440] proposed
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