Yang Ji1, Dongshuang Lu1, and Phillip Zhe Sun1,2
1Athinoula A. Martinos Center for Biomedical Imaging, Massachusetts General Hospital, Harvard Medical School, Boston, MA, United States, 2Department of Radiology and Imaging Sciences, Emory University School of Medicine, Atlanta, GA, United States
Synopsis
Given the association between MT and longitudinal relaxation rate (1/T1),
we hypothesized that T1app, under RF saturation, can be estimated
from T1 to improve CBF quantification. Using Wistar rats, we showed
that the T1app over T1 ratiometric map (i.e., T1app/T1)
is homogeneous despite large regional variation in T1 and T1app
maps. Therefore, we postulated that T1app map could be estimated
from the routine T1 map instead of T1app, which is
cumbersome and not straightforward. A fast T1app estimation provides
satisfactory Cerebral blood flow (CBF) measurement across the brain, not
affected by the concomitant MT effect.
Introduction
CBF is an
informative tissue hemodynamic index and has been increasingly used in imaging
neurological disorders such as acute stroke and tumor1, 2. However, ASL CBF
imaging is not straightforward3. Specifically,
accurate CBF mapping requires the measurement of corresponding T1app
(the apparent T1 under the saturation of the ASL tagging pulse), which
varies with both amplitude and offset of the RF tagging pulse4. Recently, we
introduced a fast multi-slice T1app mapping for improved ASL
measurement5. We further discovered that the routine T1 (without
tagging pulse) and T1app (with tagging pulse) are highly associated.
Building on this observation, we proposed to estimate T1app based on
T1 measurement, corrected for the amplitude and offset of RF tagging
pulse. Our in vivo results showed that the proposed method provides fast and
accurate CBF measurement, consistent with that obtained with T1app
measurement, and advantageous over that using a single T1app
approximation. Methods
In vivo data acquisition:
All
experiments were conducted on a 4.7T Bruker MRI scanner. We used multi-slice
single-shot echo-planar imaging (EPI, 2 mm/slice for five slices) with a field
of view (FOV) of 20 x 20 mm2 (matrix = 48 x 48). T1 images were acquired using inversion recovery MRI,
with seven inversion delays ranging from 250 ms to 2750 ms. T1app-weighted images were acquired with 5 s RF irradiation before
the excitation pulse, using the same recovery time as T1 MRI. Single-slice
T1app and T1 images were acquired to assess the B1
dependence of T1app (slice thickness = 3mm). We varied the B1
amplitude from 2.35, 3.53, 4.7, 5.88 to 7.05 μT; for each amplitude, we varied
the offset from 6, 8, 10, 12 to 14 kHz in five rats (n=5). We measured AM-ASL
MRI (repetition time (TR)/TE=6500ms/28ms, NA=32, time of saturation (TS)=3000
ms, n=5)6. We used B1=4.7 μT, a labeling distance of 15 mm
(Δω=10,000 Hz), the modulation frequency of 250 Hz, and post-labeling duration
of 300 ms, as suggested by Utting et al.7.
Data
processing and analysis:
Images
were analyzed in Matlab (Mathworks, Natick, MA). T1 and T1app
maps were calculated by the least-squares fitting of the signal intensities as
functions of the inversion time ($$$I=I_{0}[1-\beta e^{-\tau_{inv}/T_{1}}]$$$and$$$I=I_{ss}[1-\beta e^{-\tau_{inv}/T_{1app}}]$$$) per
pixel, in which $$$\tau_{inv}$$$ is the
inversion time. CBF was calculated as5,8
$$CBF=\frac{\lambda \cdot (I_{ref}-I_{tag})\cdot \exp(\delta /T_{1b})}{2\cdot \alpha\cdot T_{1app}\cdot I_{0}\cdot [1-\exp(-\tau/T_{1app})]} (1)$$ where λ is the
brain/blood partition coefficient, α is the degree of inversion, Iref
and Itag are image intensities when RF labeling and reference pulses
are applied, respectively, and I0 is the control image without RF
irradiation.
We
further postulated that T1app could be estimated from routine T1
map without tagging RF pulse (i.e., T1app= η·T1, where η is
the scaling factor), and that CBF can be calculated as$$CBF'=\frac{\lambda \cdot (I_{ref}-I_{tag})\cdot \exp(\delta /T_{1b})}{2\cdot \alpha\cdot (\eta \cdot T_{1})\cdot I_{0}\cdot [1-\exp(-\tau/T_{1app})]} (2)$$Results
Fig. 1 shows single-slice T1, T1app, and the
ratiometric T1app/T1 maps of a representative rat. The
slice was positioned 2 mm posterior from Bregma. Both T1 (Fig. 1a)
and T1app (Fig. 1 b) maps were heterogeneous.
Fig. 2a shows a T1app map normalized by 1.54 s (the mean T1
value for all brain regions except the CSF); the regional variation
significantly decreased due to T1 normalization (Fig. 2b). The
dependence of the ratiometric correction factor (i.e., η=T1app
/T1) on RF amplitude and offset can be reasonably described by linear
regression. Fig. 2c shows that T1app /T1 decreased with B1
amplitude and increased with RF offset (Fig. 2d). Such dependencies show that T1app
strongly depends on experimental parameters.
Fig. 3 compares the single-slice CBF maps calculated from the T1app
map, single T1app value (0.83 s), and the approximate T1app
estimated from T1 map (η=0.54), respectively, with an overlaid
scatter plot. CBF was 1.60 ± 0.80 ml/g.min as calculated with Eq. 1, using an
experimentally measured single-slice T1app map (Fig. 3a). In comparison,
CBF', calculated from a single T1app value, and approximated T1app
from T1 map, were 1.39 ± 0.73 and 1.58 ± 0.81 ml/g∙min,
respectively.
Fig. 4 shows the multi-slice parametric T1 map and correction
coefficient (η) map calculated from Fig. 2d, the estimated multi-slice T'1app map and CBF' map of a representative rat. Multi-slice T1 maps were
derived by considering the echo time and EPI acquisition time to calculate the
effective inversion time. For multi-slice AM-ASL MRI, the T1app/T1
map must be calculated per slice due to different effective offsets during RF
tagging, based on B1 amplitude, gradient strength, and slice position.Discussion and Conclusion
Our study showed that the ratiometric T1app/T1 map
was reasonably homogeneous within the slice, and the parametric T1app
maps can be derived from experimentally measured T1 maps. We
further demonstrated that estimated T1app normalized AM-ASL MRI
provides improved CBF quantification than those using a single global T1app
value, promising for studying neurological disorders including stroke and tumor.Acknowledgements
This study was supported in part by NIH 2R01NS083654.References
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