Wolfram Mattar1, Christoph Juchem2, Maxim Terekhov3, and Laura Schreiber3
1Department of Radiology, Section of Medical Physics, Johannes Gutenberg University Medical Center, Mainz, Germany, 2Departments of Radiology and Imaging Sciences, and Neurology, Yale University School of Medicine, New Haven, CT, United States, 3Department of Cellular and Molecular Imaging, Comprehensive Heart Failure Center, Wuerzburg, Germany
Synopsis
This study
entails a comprehensive, theoretical analysis of B0 shimming capabilities in
the human heart. Three-dimensional B0 distributions over the in vivo
human heart are addressed with various spherical harmonic and multi-coil shimming
(shimming with individual placed
magnetic coils to modify the B0 field) approach in a static, dynamic and a hybrid
fashion. The results of the study show that, as expected, the global standard
static spherical harmonic shimming (clinical standard) are generally inferior in comparison
with the results of specifically tailored and customized shimming methods based
on dynamic and multi-coil approaches.Purpose
Severe variations in
magnetic susceptibility are observed around the human heart. Especially, the
multitude of interfaces between bone/tissue and air create spatial B
0
variations in the heart. These B
0 inhomogeneity are modulated by the
heart and respiratory cycles and result in both strong spatial distortion artifacts
and signal drop out in cardiac MRI. The conventional correction of B
0
inhomogeneity (so-called B
0 shimming) relies on spherical harmonic (SH)
shapes [1] and static first or first and second order shapes are routinely
applied in clinical routine. The benefits of multi-coil (MC) shimming, shimming
with individual placed magnetic coils to modify the B
0 field, have
demonstrated recently in the human brain [2,3]. This study entails a comprehensive,
theoretical analysis of B
0 shimming capabilities in the human heart.
Three-dimensional B
0 distributions over the in vivo human heart are addressed with various SH and MC shimming
approach in a static, dynamic and a hybrid fashion.
Methods
To show the benefit
of the different shimming approaches we look at the phase evolution over heartbeat
cycle to get the B
0 difference at every point. These three-dimensional B
0 field maps (Fig. 1) were obtained in five healthy
volunteers with gradient echo MRI at four different echo times (TE = 2.00/3.17/4.37/5.57 ms) on
a 3T MAGNETOM Prisma (Siemens AG, Erlangen, Germany). B
0 field maps were decomposed
in (orthogonal) SH and (non-orthogonal) MC basis shapes with least squares optimization
as described earlier [1] and applied at reversed polarity to simulate the B
0
shim capability. We introduced a quality parameter Q
G to analyze the
quality of different shim methods. Q
G is calculated by the sum of
the absolute difference of the field after shimming divided by the sum of the absolute
difference of the field before shimming. For the SH shimming, boundary
conditions were set to unlimited dynamic range. The MC setup in the simulation
was a 60-channel MC setup (Fig. 2) on an elliptical cylinder (axes dimensions x/y/z
= 520/300/555 mm) that is large enough to host the thorax of a typical male
adult. Individual coil elements (diameter 75-155 mm) were simulated at 100
turns and a 1 A maximum current was assumed. The difference between the
individual shim methods were 2nd and 3rd order SH shim
(SH-2nd, SH-3rd), MC shim (MC), static shim (s), dynamic shim
on heart cycle (dH), dynamic shim on heart cycle and slices (dHS), and for the
dynamic SH shim methods, all parameter dynamic (A), only 1st order parameters
were dynamically modified (1).
Results
The Q
G
values of the aforementioned shim methods for all volunteers are shown in Fig. 3.
The error of the simulated shim, represented by Q
G, is below 0.001%.
The improvement of the average over the five volunteers for every individual
shim method relative to SH-2nd-s (clinical standard) is shown in
Fig. 4.The error of the
improvement of Q
G value is below 0.3%. This demonstrates
clearly the superiority of the dynamic shimming over static shimming. The third order static SH shimming (SH-3rd-s)
is 29.5±0.3% better than the clinical standard, second order SH shimming (SH-2nd-s).
The dynamic SH shimming (SH-3rd-dHS-A) with 56.5±0.2% improvement is
clearly superior with respect to the static shimming of the same SH order. The comparison of MC
shimming versus SH shimming demonstrates obvious advantage on the MC methods. The
static MC shim (MC-s) with 43.8±0.2% is on 14.3 percentage points higher than
the static SH shim (SH-3rd-s). Also the dynamic MC shim (MC-dHS),
called DYNAMITE, (60.8±0.2%) outperforms dynamic third order SH shim (SH-3rd-dHS-A,
56.5±0.2%) and provides the best B
0 homogeneity of all methods
considered in this study.
Discussion
The results of the
study show that, as expected, the global standard static SH shimming are
generally inferior in comparison with the results of specifically tailored and
customized shimming methods based on dynamic and MC approaches. An essential
improvement of B
0 homogeneity in the heart tissue can be gained by using
dynamic shims with SH and, especially, with MC-basis. The most impressive
improvements could be achieved with the most comprehensive (dynamic and MC)
DYNAMITE approach. For the sake of clinically practicable and robust procedure,
the analysis also demonstrates that a lot can be gained with partial dynamic B
0
shimming, i.e. a hybrid approach.
Acknowledgements
The work was supported partially with the BMBF grant numbers 01EO1004 and E1E01504References
[1] Romeo, F. et al.,
Magn Reson Med 1984; 1:44-65. [2] Juchem et al. JMR, 2011, Nr. 2:280-288. [3] Juchem, C.
et al., Conc Magn Reson 2010; 37B:116-128.