Analysis of Trajectories
for Targeting of Magnetic
Nanoparticles in Blood Vessels
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Abstract
The technique of magnetic drug targeting deals with binding
drugs
or genetic material to superparamagnetic nanoparticles and accumulating
these complexes via an external magnetic field in a target region.
For a successful approach, it is necessary to know the required magnetic
setup as well as the physical properties of the complexes. With the
help of computational methods, the complex accumulation and behavior
can be predicted. We present a model for vascular targeting with a
full three-dimensional analysis of the magnetic and fluidic forces
and a subsequent evaluation of the resulting trajectories of the complexes.
These trajectories were calculated with respect to the physiological
boundary conditions, the magnetic properties of both the external
field and the particles as well as the hydrodynamics of the fluid.
We paid special regard to modeling input parameters like flow velocity
as well as the distribution functions of the hydrodynamic size and
magnetic moment of the nanoparticle complexes. We are able to estimate
the amount of complexes, as well as the spatial distribution of those
complexes. Additionally, we examine the development of the trapping
rate for multiple passages of the complexes and compare the influence
of several input parameters. Finally, we provide experimental data
of an <i>ex vivo</i> flow-loop system which serves as a
model for large vessel targeting. In this model, we achieve a deposition
of lentivirus/magnetic nanoparticle complexes in a murine aorta and
compare our simulation with the experimental results gained by a non-heme-iron
assay