Page 195 - Computational Modeling in Biomedical Engineering and Medical Physics

184 Computational Modeling in Biomedical Engineering and Medical Physics

Figure 6.7 Computational domain and boundary conditions for the hemodynamic and structural
problems.

The arterial segment is of resistance type (Feijóo, 2000) (Chapter 1: Physical, Mathematical,
and Numerical Modeling), with relatively large cross section.
The first stage in MDT delivery is the advection of the MD through larger vessels.
In view of the one-way coupling magnetic field—flow—structure the magnetic field
is solved first. In this “early” stage of MDT, only the vessel volume (MAF) has mag-
netic properties. The magnetic field produced by a PM (B rem 5 1.3 T, e.g.,
N50NdFeB N42, N45, N48, Ningbo, 2019, or SmCo magnets, Pyrhönen et al.,
2009) yields magnetization body forces, Eq. (6.9), which exhibit the expected target-
ing effect, Fig. 6.8.
Next, the hemodynamic flow and pending the deformation of the embedding tis-
sue and vessels walls, with and without magnetic field, are analyzed. Fig. 6.9 (Morega

Figure 6.8 Magnetic field and magnetization forces—independent of the flow and structural inter-
actions: (A) numerical simulation results, and (B) enlarged view (Morega et al., 2011; Dobre, 2012).