Matthew S Fox1,2, Elise Woodward3, Marcus Couch4, Tao Li5, Iain Ball6, and Alexei V Ouriadov1,2
1Lawson Health Research Institute, London, ON, Canada, 2Physics and Astronomy, The University of Western Ontario, London, ON, Canada, 3The University of Western Ontario, London, ON, Canada, 4Montrel Neuro Institute, Montreal, QC, Canada, 5Thunder Bay Regional Research Institute,, Thunder Bay, ON, Canada, 6Philips Australia & New Zealand, North Ryde, Australia
Synopsis
We hypothesize that the SEM
equation can be adapted for fitting the gas-density dependence of the MR signal
similar to fitting time or b-value dependences S(n)=exp[-(nR)β], where
0<β<1, n is the image number and R is the apparent-fractional-ventilation
parameter. This interpretation allows us
to consider the signal-intensity variation as reflection of the underlying
gas-density variation and hence, reconstruction of the under-sampled k-space
using the adapted SEM equation. Lung
fractional-ventilation maps have been generated using reconstructed
images. We have demonstrated the
feasibility of our approach using retrospective under-sampling mimicking
acceleration factors of 10 and 14 in a small animal cohort.
Introduction
Inhaled gas (3He/129Xe/19F)
MRI has been proven to be useful for dynamic lung imaging.1,2 These
techniques enable acquisition of regional fractional-ventilation3-5 measurements which are very
useful as CT-alternatives for detecting gas trapping in lung diseases such as
lung inflammation, fibrosis and COPD.1 Thus, free-breathing 19F (C3F8
or PFP) dynamic lung imaging has been recently
demonstrated in human lungs.6 This
wash-out scheme ensures the gradual wash-out 19F
gas within the 19F MRI lung images obtained from a COPD patient for
eight wash-out breaths.6 Clearly, each new wash-out breath of air
replaces some volume of the PFP gas in lung, so the signal intensity of the
resulting images was gradually attenuated.
The following equation can be fitted to the wash-out data:4 S(n)=S0(1-r)n, where S0
is the initial signal, n is the
breath number, S(n) is the signal intensity after the nth wash-out breath and r is the fractional-ventilation
parameter.4,7 r can be expressed as the fraction between fresh
gas entering the lung and the total volume of gas within the lung (Vtotal):4,7 r=Vnew/Vtotal or Vnew/(Vnew+Vold). In order
to improve the signal-to-noise ratio (SNR) from attenuating effects like O2-induced
depolarization (hyperpolarized gas case) or due to low-thermally polarized spins
(19F case), signal averaging and the compressed sensing method
combined with the stretched-exponential-model8
(SEM) can be utilized. We hypothesize that the SEM equation can be adapted for fitting
the gas density dependence of the MR signal similar to fitting time or b-value
dependences:9,10 S(n)=exp[-(nR)β], where 0<β<1, n is the image number and R is the apparent fractional-ventilation parameter.11 This
interpretation allows us to consider the MR signal intensity variation (Figure 2)
as reflection of the underlying gas-density variation and hence, reconstruction
of the under-sampled k-space using the adapted SEM equation. Lung fractional-ventilation
maps can be generated using reconstructed images. Therefore, in this proof-of-concept evaluation, our
objective was to demonstrate the feasibility of our approach using
retrospective under-sampling mimicking acceleration factors (AF) of 10 (10% of
the k-space points) and 14 (5%
of the k-space points) in a small animal cohort from previously reported
dynamic lung studies (3He/129Xe/19F MRI5,7). Methods
All animal studies were approved by our local
ethics board. 3He/129Xe MR was performed on five control
animals (Sprague Dawley rats) at 3.0T (MR750, GEHC, WI) using a high-performance insert-gradient-coil
(G=500mT/m, slew-rate=2000T/m/s)12 and a commercial,
xenon-quadrature-rat-sized 3He/129Xe
RF coils13 (Morris
Instruments, Canada). Pulse sequence details and the breathing
protocol were previously described.5 19F MRI (SF6/PFP)
ventilation measurements were performed using a 3.0T Philips Achieva scanner
with maximum gradient strengths of 4 G/cm and a home-built rat-sized quadrature
transmit/receive coil tuned to the 19F resonance frequency of 120.15
MHz. Pulse sequence details and the
breathing protocol were previously described.7
Two Cartesian
sampling schemes (FGRE and x-Centric14) was used to test
the proposed method. Eight fully-sampled
dynamic wash-out images were retrospectively under-sampled (AF=10 and 14) using
random sampling patterns in the wash-out direction (Figure 1b). Thus, the signal intensity of the
under-sampled k-spaces were represented as a functions of the image number
(Figure 2) and then fit following Abascal
et al method.15 Values of (n=0, 1, 2, 3, 4, 5, 6, 8)
was used to fit the 3He/129Xe/19F under-sampled data and generate the mean fractional-ventilation
maps.Results
Figures 3, 4 and 5 show fractional-ventilation maps obtained for three gases
for all rats and Table 1 shows the MRI-based mean fractional-ventilation estimates. The pixel-by-pixel differences between the original
fully-sampled time-zero images and those reconstructed after retrospective
under-sampling was within the interval of 11%-15% for all rats and both AFs,
except for one PFP animal where the difference was more than 22%. We did not
observe any difference between mean fractional-ventilation estimates obtained for the fully-sampled case and
under-sampled cases.Discussion and Conclusion
In this proof-of-concept study, we showed that
the SEM equation can be adapted for fitting the gas
density dependence of the MR signal similar to fitting the time or b-value
dependences. Our mean fractional-ventilation estimates were approximately twice smaller than the
previously reported numbers.5,7 We propose to
generate mean fractional-ventilation estimates using traditional and SEM-based approaches
in order to investigate this mismatch.
It is always possible to use the proposed approach to reconstruct the
images from the under-sampled k-spaces and then use the reconstructed images to
generate r utilizing the traditional approach.4 For the first
time we have demonstrated that dynamic inhaled gas MRI-based lung measurements
can be significantly accelerated by collecting as little as 5% of k-space without
compromising the accuracy of the regional biomarkers such as regional fractional-ventilation estimates.Acknowledgements
No acknowledgement found.References
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