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182   Computational Modeling in Biomedical Engineering and Medical Physics


                Hemodynamic and magnetic field driven mass transfer in larger vessels
                Simplified computational domains are valuable as a first step in the MDT analysis
                (Voltairasetal.,2002). More realistic scenarios, obtained using computational domains
                constructed using medical images, are recently available, and they may provide for
                more thorough, patient-related studies (Morega et al., 2009; Shamloo et al., 2019). For
                instance, using a set of MRI images, a computational domain that renders an arterial tree,
                embedded in a deformable muscular volume, was built to be used in predicting the inter-
                action of the hemodynamic flow with a stationary magnetic field produced by an
                implanted PM (Morega et al., 2010; Dobre, 2012). Following the steps outlined in
                Chapter 3, Computational Domains, the blood volume is singled out using a segmenta-
                tion tool, and morphological tools and boolean operations are then used to construct the
                vascular (arterial) tree. The final 3D solid model is processed to produce the computa-
                tional domain. The PM and the embedding volume are CAD-built. The two con-
                structs—image-based and CAD—are then fused, Fig. 6.6, and FEM meshed (Morega
                et al., 2010).
                   Keeping with the continuous media hypothesis, the MD and the blood, behave
                as a homogeneous MAF. In an external magnetic field, the occurring magnetiza-
                tion body forces may influence its flow. Here, the interactions between the flow,
                the vessel wall and the embedding tissue are coupled one-way only: the flow pres-
                sure field deforms the vessel wall, hence the embedding tissue, and not
                reciprocally.



























                Figure 6.6 The main stages to obtaining a more realistic computational domain constructed using
                a DICOM dataset and a CAD part.
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