R. Marc Lebel1,2,3, Csanad G Varallyay4, and Edward A Neuwelt4
1GE Healthcare, Calgary, AB, Canada, 2Radiology, University of Calgary, Calgary, AB, Canada, 3Biomedical Engineering, University of Calgary, Calgary, AB, Canada, 4Neurology, Oregon Health and Science University, Portland, OR, United States
Synopsis
Quantitative or semi-quantitative mapping of
cerebral blood volume typically involves complex modeling of a dynamic
gadolinium-enhanced acquisition. Off-label use of ferumoxytol is being explored
as a mechanism for high-resolution quantification of cerebral blood volume.
Acquisition involves high-resolution pre- and post-contrast T2*-weighted scans;
quantification is straightforward and does not require fitting. We present a
multi-echo acquisition and optimal quantification algorithm for improved
detection of ferumoxytol-based blood volume measurements. Our approach provides
high dynamic range and minimal noise amplification.Introduction
Ferumoxytol is an FDA approved therapeutic iron-oxide
agent for treatment of iron deficiency. Off-label use as an MR contrast agent for
both vascular and parenchymal enhancement is being explored. This agent has a
much longer vascular half-life than do gadolinium-based contrast agents, allowing
the opportunity for detailed visualization or quantification of the vasculature.
A recent report quantified the relative cerebral blood volume (rCBV) by
comparing T
2* weighted images before and after
administration of this
(1) This prior work employed a single echo acquisition
and was most sensitive to contrast agent concentrations (and thus rCBV values)
resulting in moderate signal decay. Higher rCBV (too much signal decay) or
lower rCBV (too little signal decay) were difficult to detect. Here, we present
a multi-echo acquisition spanning a wide range of echo times and an optimized
quantification strategy to effectively estimate rCBV from multi-echo data.
Theory
The rCBV is linearly related to the change in
transverse relaxation rate (ΔR2*) following administration of Ferumoxytol. This latter
parameter can be quantified directly from pre- and post-contrast signal
intensities (SIpre and SIpost, respectively) without data
fitting:
$$\Delta R_{2}^\star = \frac{1}{\text{TE}} \cdot \ln \left(\frac{\text{SI}^\text{pre}}{\text{SI}^\text{post}} \right)$$
Assuming uncorrelated noise with power σ2 in both scans, noise
power in the quantitative map is given by:
$$\sigma^2_{\left(\Delta R_2^\star\right)} = \frac{1}{\text{TE}^2} \left[\left(\frac{1}{\text{SI}^\text{pre}}\right)^2 + \left(\frac{1}{\text{SI}^\text{post}}\right)^2 \right]$$
A multi-echo acquisition with N echoes provides
N estimates of ΔR2* , each
with a different noise power based on the echo time and signal intensities.
These maps provide the same information and can be combined for reduced
variance. We propose a minimal-noise image combination that involves
normalizing by noise power then averaging maps:
$$\Delta R_2^\star = \sum_i^\text{N} \; \frac{\Delta R_{2_i}^\star}{\sigma_i^2} \; / \; \sum_i^\text{N} \; \frac{1}{\sigma_i^2}$$
This weighted average, when applied on a
voxel-by-voxel basis, is expected to provide an effective means of accurately
estimating a wide range of rCBV values. Additionally, this strategy should
enable measurements in high susceptibility areas, where a single echo
acquisition or non-optimized combination would fail.
Methods
2D multi-echo spoiled gradient echo images were
acquired before and after administration of Ferumoxytol in a patient with
suspected Glioblastoma multiforme. Five echo times between 6.9 and 29 ms were
acquired. Quantitative maps were computed at each echo time and were combined
with the proposed method.
Results
Quantitative ΔR
2*
maps computed at each echo time show differential noise variance among
structures and echo times (Figure 1), as predicted by the second equation. The highly
vascular tumor is most effectively characterized at short echo times. At long
echo times, the complete signal decay prevents characterization of the tumor (note
that signal gets masked out when approaching the noise floor). Normal appearing
white and gray matter are best quantified at longer echo times due to the
slower signal attenuation. Optimal image combination favors short echo times in
the tumor (blue lines) while emphasizing longer echo times in gray matter (red
lines). A composite image, optimized on a voxel-by-voxel basis, takes the best
parts of individual echo times, making it sensitive to a high dynamic range of
rCBV while minimizing noise and artifact.
Conclusion
A multi-echo acquisition is a promising approach
for high resolution CBV mapping with ferumoxytol. Optimized reconstruction is
expected to improve the linearity, accuracy, and precision of quantitative maps
relative to standard reconstruction and relative to single echo acquisitions.
This approach is being investigated for high resolution quantification of tumor
vascularity and outcome prediction.
Acknowledgements
No acknowledgement found.References
[1] Varallyay, C. G., et al. (2013). High-resolution steady-state cerebral blood volume maps in patients with central nervous system neoplasms using ferumoxytol, a superparamagnetic iron oxide nanoparticle. Journal of Cerebral Blood Flow & Metabolism, 33(5), 780–786. doi:10.1038/jcbfm.2013.36