Maximilian Fuetterer1, Christian Torben Stoeck1,2, and Sebastian Kozerke1,2
1Institute for Biomedical Engineering, University and ETH Zurich, Zurich, Switzerland, 2Division of Imaging Sciences and Biomedical Engineering, King's College London, London, United Kingdom
Synopsis
Second-order
motion compensation for PRESS (PRESSmc) is proposed to allow for
robust single-voxel cardiac spectroscopy throughout the entire cardiac cycle. Motion-compensated
spoiler gradients were designed and implemented into a cardiac-triggered PRESS sequence.
A numerical 3D model of cardiac motion was used to optimize and validate the
gradient waveforms. In-vivo measurements in healthy volunteers were obtained to
assess SNR and triglyceride-to-water ratio (TG/W). SNR gains and variability of
TG/W of PRESSmc were evaluated against a conventional PRESS sequence
with optimized gradients. PRESSmc effectively reduces cardiac-motion
induced signal degradation during FID spoiling providing higher SNR and less
variability for TG/W quantification. Introduction
Cardiac MR spectroscopy can reveal metabolic alterations inside
the myocardium as a result of dietary interventions or metabolic conditioning,
as well as diurnal changes (1–3). To suppress FID components from imperfect
180° refocusing pulses, conventional PRESS sequences use unipolar spoiler
gradients that are sensitive to motion (4). Reliable measurements can therefore only be
performed in heart phases where the myocardium is stationary. Variations in
heart rate during the examination, especially under pharmacologically induced
stress, can however result in acquisitions outside the optimal heart phase.
In this work we therefore propose the use of bipolar spoiler
gradients in a PRESS sequence (PRESS
mc) to mitigate second order gradient moments, thereby
making the acquisition insensitive to velocity and acceleration. The proposed method is
compared to a conventional PRESS sequence with reduced spoiler gradients (4)
(PRESS
rs) using simulations and in-vivo measurements
of the human heart.
Theory
The phase of moving spins subject to a gradient field $$$G(t)$$$ with spatial position $$$x(t)$$$ is expanded around $$$t_{0}=0$$$ as:
$$\phi=\gamma\int_{}^{}G(t)\sum_{}^{}\frac{1}{n!}\frac{\partial ^{n}}{\partial t^{n}}x(t)\mid_{t=0}t^{n}dt$$
with $$$\gamma$$$ denoting the gyromagnetic ratio and $$$n$$$ the order of motion. A gradient waveform that
is motion compensated up to $$$n^{th}$$$ order has to fulfil
$$m_i = \int_{}^{}G(t) t^{i}dt = 0$$
for $$$1\leq i \leq n$$$, where $$$m_{i}$$$ denotes the $$$i_{th}$$$ gradient moment. Unwanted FID components from refocusing pulse imperfections
experience phase dispersion that is given by
$$\phi_{spoil}=\gamma a_{spoil} s_{x}$$
and
is proportional to the voxel size $$$s_{x}$$$. The effective spoiling
areas for both sequences can be calculated as illustrated in Fig-1.
Methods
The proposed sequence was implemented on a Philips Achieva 1.5T system equipped with a 40mT/m, 200T/m/s gradient system and a 5-channel cardiac receive coil. The bipolar gradient pairs were scaled such that the first and second gradient moments are nulled at the time of acquisition (Fig-2). An effective spoiling area of 20mTms/m was used for both sequences, resulting in echo times of 22ms (unipolar) and 28ms (bipolar).
A numerical heart motion
model was created from a 3D tagging E dataset acquired in a healthy volunteer and interpolated to a temporal resolution of 0.05ms (Fig-3). Intravoxel dephasing was
simulated over the full cardiac cycle considering gradient moments up to 3rd order (Fig-4a).
Five healthy female volunteers
(age 21-32) were enrolled in this study. For both sequences a single PRESS
voxel of 8x16x32mm3 was positioned inside the septal wall for 8
different heart phases (250ms–600ms). Iterative shimming was performed during one initial breath hold and
was kept constant throughout each session. Eight reference water spectra and 48
water suppressed spectra were acquired for each sequence and heart phase using
cardiac triggering and pencil beam respiratory gating. Total scan duration was 6:45min per heart phase and sequence, including preparation phases.
The reconstructed spectra were analysed in jMRUI (5) by time-domain fitting in
AMARES (6) assuming Lorentzian line
shapes after first-order phase correction. Six resonances were fitted for the
water suppressed spectra: triglycerides (TG) at 0.9, 1.3 and 2.1ppm, creatine (Cr)
at 3.01ppm, trimethylammonium (TMA) at 3.2ppm and the residual water at 4.7ppm. The triglyceride-to-water ratio (TG/W) was calculated as the sum of the
fitted TG resonances at 0.9ppm and 1.3ppm divided by the fitted water signal.
Results
Experimental
data confirm the heart phase dependency of SNR for the conventional sequence, while
PRESSmc exhibits only small SNR degradation in diastole (Fig-4a).
Mean
SNR values of the water signal increased significantly (p < 0.05) from 702±203 (RS) to 924±183 (MC) with significantly
reduced coefficients of variance over eight repeat measurements (Fig-4b).
The variation
of the measured TG/W ratio over heart phases is significantly reduced with
PRESSmc during diastole (Fig-5a). Mean coefficient of variation is
significantly reduced in across volunteers from 0.37±0.26 (RS) to 0.1±0.02 (MC) (Fig-5b).
Comparison
of best and worst spectra acquired during diastole with both sequence shows improved spectral quality with second-order motion compensation (Fig-5d).
Discussion
The proposed
sequence yields higher SNR of water and triglyceride resonances, better
reproducibility in repeat measurements and improved repeatability of
quantification over the cardiac cycle despite an increased TE, which results in
15% (water) / 7.4% (TG) signal loss due to transversal relaxation.
Experimental data
indicates residual signal dephasing during diastole, which is not predicted by simulations. This issue is associated with the limited spatial and temporal resolution of the numerical model. Additionally,
rotational components of the contractile motion are only partly compensated to
a degree where a linear translational approximation is valid.
Conclusion
Second-order
motion compensation in PRESS significantly increases signal-to-noise ratio of
water and triglyceride signals of the in-vivo heart while simultaneously reducing variability over
repeat measurements and heart phases.
Acknowledgements
This work was
supported by the Molecular Imaging Network Zurich (MINZ).
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