Vanessa L. Landes1, Eamon K. Doyle1,2, Pablo J. Prado3, John C. Wood1,2, and Krishna S. Nayak4
1Biomedical Engineering, University of Southern California, Los Angeles, CA, United States, 2Cardiology, Children's Hospital Los Angeles, Los Angeles, CA, United States, 3One Resonance, LLC, San Diego, CA, United States, 4Electrical Engineering, University of Southern California, Los Angeles, CA, United States
Synopsis
We
investigate the use of a magnet with flat field isosurfaces over 4 cm for assessment of proton density fat fraction (PDFF). We experimentally demonstrate a correlation between PDFF and apparent
T2 in phantoms.
Apparent T2 measurement variability is low enough to produce invertible
curves of T2 vs. PDFF in intervals of 2% PDFF for a 0 – 17% PDFF range
at 0ºC and intervals of 4% PDFF for a 0 – 12% PDFF range at 23ºC in milk and cream mixtures. The long-term goal is to use this device for in-vivo clinical
applications, such as measurement of intra-hepatic and intra-muscular fat. PURPOSE
Portable NMR devices can measure water content, lipid content,
and to show differences between layers of materials and air, using Car-Purcell-Meiboom-Gill
(CPMG) sequences [1-4]. These differences have mainly been used for non-medical
applications and have never been shown in the single-sided portable NMR device.
In this work, we investigate the use of a magnet with flat field isosurfaces
over 4 cm (designed by Prado, [4]) for assessment of proton density fat
fraction (PDFF). We experimentally demonstrate a correlation between PDFF and apparent
T2 in phantoms. The long-term goal is to use this device for in-vivo clinical
applications, such as measurement of intra-hepatic and intra-muscular fat.
METHODS
Experiments were performed using a single-sided Neodymium Iron
Boron magnet (12x12cm2 top; 7cm height) and a flat spiral RF coil
(75 mm diameter) [5]. The magnet’s field
strength varied from 0.4T at 0cm and 0.08T at 4cm from the surface. A CPMG sequence measured free induction decays
(FID) with parameters: 16.73 MHz center frequency, NSA=100, 2000 echoes, transmit/receive
BW= 200kHz/10 MHz, 25 samples/echo, TR=500 ms. Apparent T2 values were estimated
by performing a mono-exponential fit to the echo amplitudes. Signal
measurements were made 1 mm above the magnet surface.
Measurements were acquired in room-temperature mixtures of skim milk
and heavy whipping cream with 0, 25, 50, 75 and 100% cream. The measurements were made in succession and
the protocol was repeated 12 times. A second experiment measured mixtures of
milk and cream with 0, 12.5, 25, 37.5, 50, 62.5, 75, 87.5, and 100% cream with
the same protocol but were placed on ice between measurements. PDFF was validated
with an IDEAL-SPGR pulse sequence on a 3T HDxt GE MRI magnet.
A third experiment measured apparent T2 values of a phantom made
from a linear gradient of 3% agar in 100% coconut oil. Two triangular prisms of
agar and coconut oil stacked to form a rectangular prism (0.5 cm x 4.5 cm). Apparent
T2 measurements of partially-volumed voxels were acquired at 6 points along the
agar/oil gradient, 2 points in 100% agar, and 4 points in 100% coconut oil by
moving the sample over the coil.
RESULTS
Reference MRI scans determined the PDFF of skim milk and cream to
be 0.5% and 17% respectively. Figure 1 shows that estimated T2 varies inversely
with PDFF. Apparent T2 measurement variability is low enough to produce
invertible curves of apparent T2 vs. PDFF with ±0.5% sensitivity for a 0 – 17%
PDFF range at 0ºC and ± 2% sensitivity for a 0 – 12% PDFF range at 23ºC. Linear
regressions demonstrated R-squared values of 0.93 at 23ºC and 0.98 at 0ºC.We
expect the slope of this curve to change with different echo spacing due to
diffusion effects [5]; T2 estimates will decrease as echo spacing increases.
Figure 2 shows the results of the agar and coconut oil gradient
experiment. The left-most measurements are made over pure agar, while the
right-most measurements are made over pure coconut oil. A partial voluming
effect can be seen where measured apparent T2 value is the approximate average
of T2 measured in pure agar and pure coconut oil. The data demonstrates that we
are sensitive to the entire dynamic range of fat. The non-linear relationship
between apparent T2 and PDFF is likely related to the shape of measurement
zone.
DISCUSSION
The milk-cream experiments show an increased negative slope of apparent
T2 vs. PDFF at low temperatures. This documented temperature dependence is a
likely result of crystallization of fat in milk [6]. Apparent T2 can be
measured regardless of temperature; temperature and diffusion coefficient must
be known to estimate PDFF. The results show the single-sided device is capable
of demonstrating a previously derived relationship between T2 and temperature
in fat/water emulsions. Because body
temperature is stable under healthy conditions, this effect will not confound future
in-vivo studies.
The agar/coconut oil gradient experiments show that apparentT2
can estimate the fat/water ratio in a partially-volumed voxel. The
non-linearity of the T2-PDFF relationship remains a challenge. We expect this to be resolved in applications
where the measurement zone is much larger than fat/water aggregates. In cases
where the scale cannot be avoided, tuning of the pulse bandwidth may help
overcome error.
CONCLUSION
We demonstrate that a single-sided NMR device can measure
relative PDFF in a time-efficient manner and with sensitivity of ±0.5% at 0ºC
and ±2% at 23ºC. This magnet geometry, once scaled to an appropriate size for
humans, may be useful for the assessment of intra-hepatic or intra-muscular fat
for detection of diseases such as fatty liver disease or metabolic syndrome. Calibration at body temperature and
decoupling of diffusion effects is pending.
Acknowledgements
No acknowledgement found.References
[1] Todt et al. Food Chem, 96: 436-440, 2006
[2] Sorland et al. Meat Sci, 66: 543-550
[3] Castell-Palou et al. Food Bio. Tech. 6:2685-2694
[4] Prado et. al, JMR, 144:200-206, 2000
[5] Prado, MRM, 21:397-400, 2003
[6] Bertram et al., International Dairy J. 15: 1056-1063,
2005