Page 192 - Computational Modeling in Biomedical Engineering and Medical Physics

Magnetic drug targeting 181

Figure 6.5 The level set function, Φ, shows the two-phase flow mixing progress.

the particles are removed from the circulatory flow and the magnetic forces that may
drive them are lower. For instance, forces of the order O(pN) are obtained in a mag-
netic field of about 1 T and with a gradient of about 0.5 T/cm. Numerical simulation
may help asserting the dynamics of the MNPs in the magnetic field, otherwise difficult
(if possible) to figure out, with the aim to exemplify the MDT optimization, training,
planning and intervention.
To substantiate this approach and its merit, we consider an idealized blood vessel
through which blood flows with MNPs, and which is exposed to a static magnetic field.
Several MNPs mass transfer processes occur in the hemodynamic flow and the external
magnetic field: the MNPs travel with the blood flow; they diffuse through the vessel
walls, and then travel and diffuse through the adjacent tissue to the contained ROI.