Yuan Zheng1,2, Gordon D. Cates1, William A. Tobias1, and G. Wilson Miller3
1Department of Physics, University of Virginia, Charlottesville, VA, United States, 2UIH America, Houston, TX, United States, 3Radiology and Medical Imaging, University of Virginia, Charlottesville, VA, United States
Synopsis
We have developed a novel technique that combines MR and gamma detection
for measuring T1ρ of radioactive isotopes. Gamma-ray emission is
anisotropic with respect to the polarization direction of hyperpolarized
radioactive nuclei (spin>1/2). When the spins are flipped into the
transverse plane and subjected to a spin-locking field, the emission anisotropy
also precesses and gamma detectors in the transverse plane will observe an oscillating
count rate. Decay of the oscillation amplitude during SL can be used to fit T1ρ.
This technique also vastly reduces the number of spins needed for a meaningful measurement since gamma-ray detection is highly efficient.
Introduction
T1ρ is the time constant that
characterizes the spin-lattice relaxation in the rotating frame under a
spin-locking (SL) RF field. It has been shown to provide useful contrast for detecting
cartilage degeneration1, Alzheimer’s
disease2, as well as evaluating high intensity focused ultrasound
tumor treatment3. The typical way of measuring T1ρ includes
a magnetization-preparation step4. The spin magnetization is first
flipped into the transverse plane, and then subjected to a long SL-RF pulse parallel
to the magnetization in the rotating frame, during which the magnetization undergoes
T1ρ relaxation.
After the SL-RF pulse, the magnetization is flipped back to the
longitudinal direction, and an image is acquired. In order to measure T1ρ,
this procedure needs to be repeated with different durations of the SL-RF
pulse, and T1ρ can be determined by fitting the signal intensities
to an exponential decay. Recently, our group has reported a novel method for
spectroscopy and imaging that combines gamma-ray detection and magnetic resonance5,
which makes it possible to measure MR signals from vastly fewer number of spins
by using high efficiency gamma-ray detection. Here we extend this idea and demonstrate
a technique that can measure T1ρ of trace amounts of radioactive
isotopes using a simple pulse sequence.Theory
Gamma emission of
oriented radioactive nuclei (with spin > 1/2) is anisotropic and in many
cases can be described by: $$$W(\theta_r)=a_0+a_2\cos{2\theta_r}$$$ (Eq. 1), where W(θr) is the relative probability that a gamma ray
will be emitted at an angle θr with respect to the spin polarization
direction. The coefficients an depend on the specific gamma
transition being observed, as well as the degree of nuclear polarization. Fig.
1a shows the angular distribution of 164 keV gamma rays emitted from the
metastable isotope 131mXe. If the spin orientation is flipped into the transverse plane and then
subjected to a SL-RF pulse, the asymmetric gamma emission distribution will
rotate together with the spin orientation, causing an oscillating count rate in
a gamma-ray detector oriented in the transverse plane. Since the applied RF
field does not interfere with the detection of gamma rays, these oscillations
can be observed in real time, obviating the need for repeated magnetization
preparation. During T1ρ decay, the gamma emission anisotropy
decreases with the nuclear spin polarization (|a0| increases, |a2|
decreases), so the amplitude of the count-rate oscillation decays, which can be
used to characterize T1ρ (Fig. 2).
Methods
A 2.5-cm diameter
glass sphere containing ~0.07 mCi 131mXe (spin 11/2, gyromagnetic
ratio = 137 Hz/Gauss) was used for this study. The experiment was performed using
a homemade system which combined a low-field (~7 Gauss) MRI scanner6
with a gamma detection setup (Fig. 3). The 131mXe Larmor frequency
was ~970 Hz. Nuclear spin of 131mXe was first polarized to ~55%
using spin-exchange optical pumping. A non-selective 90° RF pulse was applied, and
a low-amplitude, in-phase SL-RF field was then broadcast continuously for 15 s,
during which the gamma-ray count rates in the transverse detectors were recorded (166 kHz sampling rate).
Due to the very small amount of activity in our sample, the
polarization/data acquisition cycle was repeated 177 times to improve the counting
statistics. The gamma count rates from all averages and both transverse
detectors were summed, rebinned to 0.1 s blocks, and then mixed down to a low
frequency. T1ρ was determined by fitting the data to an exponential
decay model. We measured T1ρ with different SL-RF field strengths (12,
24, 47, 95, 178, 245, 369, and 619 mG) to generate a dispersion curve.Results
Fig. 4 shows the count rate decay during SL (178 mG), and the fit value
of T1ρ was 5.2 s. In comparison, T1 was measured to be ~84 s in a
separate measurement. The T1ρ dispersion curve is shown in Fig. 5. As
expected, the relaxation rate (1/ T1ρ) decreases as the locking
field becomes stronger. This entire measurement was performed using less than 3×1012 atoms of 131mXe. In
comparison, at least 1015 protons are needed to produce a barely
measurable electromagnetic signal7.Conclusion
We have developed a novel technique for measuring T1ρ of radioactive
isotopes using the gamma emission anisotropy of hyperpolarized nuclei, which
directly measures the decay of gamma-ray count rate oscillation amplitude while the SL-RF is on. Since gamma-ray
detection is much more sensitive than conventional electromagnetic signal
detection, this technique also vastly reduces the number of nuclear spins
needed for a meaningful measurement, and might lead to a high-sensitivity
medical diagnostic technique.Acknowledgements
The authors would like to thank The Ivy Biomedical Innovation Fund at the University of Virginia for its support of this project.
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