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Magnetic Particle Imaging: Linear Gradient Array for Imaging with a Traveling Wave
P. Klauer1,2, M. A. Rückert1,2, P. Vogel1,2, W. H. Kullmann1, P. M. Jakob2,3, and V. C. Behr2
Electrical Engineering, University of Applied Sciences Würzburg-Schweinfurt, Schweinfurt, Germany, 2Department of Experimental Physics 5 (Biophysics),
University of Würzburg, Würzburg, Germany, 3Research Center for Magnetic Resonance Bavaria e.V (MRB), University of Würzburg, Würzburg, Germany
1
Introduction
Magnetic particle imaging directly detects ferro- and super-paramagnetic particles based on
the nonlinear response to magnetic fields [1]. The imaging is done by moving a field free
region of a strong gradient in the order of 5T/m through the sample. In [2] dynamic 3
dimensional imaging has been demonstrated on a mouse using a Lissajous trajectory. We
present a new gradient design that will allow performing dynamic imaging in a linear sampling
scheme rather than a Lissajous trajectory by using a traveling wave. This approach provides
the possibility of increasing the field of view arbitrarily in one dimension without increasing
the sampling time.
Figure 1: Schema of linear gradient array with 16
Methods
The designed linear gradient array consists of 16 consecutive coils with a full length of 144mm segments.
(figure 1). A traveling wave is generated by applying a sinusoidal drive field with an increased
phase shift per coil. The phase shift between adjacent coils was chosen in order to fit a
complete wave train in the gradient array. This results in two field free points (FFP) with
positive and negative gradient slew which are moving approximately linearly through the
sampling volume. The coil dimensions were chosen to generate a gradient strength of about
3T/m for a coil current of 50A. Each coil consisted of 21 windings of litz wire with an inner
diameter of 54mm, an outer diameter of 90mm and a width of 8mm. For better cooling 1mm
air gap was left between adjacent coils. The resistance of each coil was 0.035mΩ, hence
generating a gradient strength of 3T/m will dissipate around 700W electrical power within the
array.
The gradient performance was simulated for applying a sinusoidal current with a phase shift of
22.5° between each coil. For characterizing the field distribution in the actual setup, we
simplified the array for using only two amplifier channels by combining the 16 coils to 4
blocks consisting of 4 adjacent coils each. They were driven with a sinusoidal current of 0.6A
connected in such a way that an increasing phase shift of 90° resulted between neighboring
blocks.
The field distribution and phase variation along the symmetry axis was measured by using a
pickup coil with 10 windings, 30mm diameter and 2mm thickness.
Figure 2: Simulated field distribution within the
Results
The simulated magnitude of the field distribution in the gradient array is shown in figure 2 for gradient array for two time points. Traveling wave
two time points (longitudinal section). It shows the two traveling FFPs along the symmetry direction is left to right.
axis. The gradient strength varies about 7% within 80mm around the center.
The measurement of the simplified coil array configuration shows a variation of 30% in field
magnitude within 80mm around the center, compared to less than 7% of the simulated field
magnitude for using 16 phase shifted channels. The expected linear phase dependency along
the symmetry axis holds true within 5% error within 60mm around the center (figure 3).
Conclusion
A new gradient system for magnetic particle imaging was build and characterized. It could be
shown, that the presented gradient system is able to generate a traveling wave suitable for
performing magnetic particle imaging. The advantage of this approach is the easy possibility
to enlarge the field of view to the full length of a mouse while providing a more simplified
sampling trajectory.
References
[1] B.Gleich, J.Weizenecker: Tomographic imaging using the nonlinear response of magnetic
particles. Nature 435,1214-121,2005
[2] J.Weizenecker et al.: Three-dimensional real-time in vivo magnetic particle imaging .
Phys. Med. Biol. 54, L1-L10,2009
Proc. Intl. Soc. Mag. Reson. Med. 19 (2011)
3783
Figure 3: The graph above shows the comparison of
the simulated field magnitude along the symmetry
axis with the measured implementation (which was
equivalent to using 4 phase shifted channels).
The graph below shows the measured phase shift of
the exciation field along the symmetry axis.