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Diffusion-weighted in vivo imaging with ≤100 µm resolution: Principles and applications to ADC mapping of pregnant mice
Qingjia Bao1, Gilad Liberman1, Eddy Solomon1, Miki Lustig2, and Lucio Fydman1

1Departments of Chemical and Biological Physics, Weizmann Institute of Science, Rehovot, Israel, 2Department of Electrical Engineering and Computer Science, UC Berkeley, Berkeley, CA, United States

Synopsis

Although a major advantage of SPatiotemporal ENcoding (SPEN) vs EPI is a higher immunity to artifacts, it suffers –as all single-shot experiments– from resolution and SNR limitations. These can be dealt by multi-scan interleaving, which unlike EPI counterparts leads to independent low-resolution images free from aliasing artifacts. We present an acquisition and processing protocol that reconstructs from these data a composite image free from hardware or motional imperfections, possessing unprecedented resolution. The power of this self-referenced method is demonstrated with in vivo ADC maps of brains, kidneys and fetal organs in pregnant mice, possessing resolutions in the 78-230 µm range.

INTRODUCTION

Diffusion provides unique in vivo insight under normal and pathological conditions, helping to reveal structures and microstructures. The pulsed gradients used in these measurements make multi-scan experiments incompatible in vivo motions, demanding single-shot imaging methods like EPI’s quality, however, is compromised by field distortions. SPatiotemporal ENcoding (SPEN) is a single-shot method enabling the use of larger gradients, hence providing higher immunity to these heterogeneities.[1] Still, both single-shot EPI and SPEN suffer from limited resolution and compromised sensitivities. Multi-shot interleaving can bypass these, yet in EPI this comes at the expense of reintroducing sensitivity to motions. Not so necessarily in SPEN, where interleaving will still comprise the acquisition of low-resolution images in every scan. This paper introduces new acquisition and processing methods that exploit this, and demonstrates their potential with ADC maps acquired in vivo for olfactory bulbs and kidneys in naïve mice and for organs in pregnant mice –including fetal brain and placental diffusivity maps.

METHODS

Like multi-shot EPI, interleaved SPEN[2] will be affected by two main artifacts: one arises from gradient imbalances during the readout train that translates in SPEN into even/odd “stripes”[3, 4]; another arises from motions between shots and leads to phase errors. Interleaved SPEN, however, delivers low-resolution images for every even/odd kRO set within every shot; based on this, Figure 1 introduces three kinds of interleaving schemes capable of accounting for all artifacts without demanding navigator scans. All schemes contain a variable “kshot” gradient and delay that shifts the spatial positions of interleaved shots along the SPEN (y) direction. Figure1A is a fly-back scheme where data are only acquired during positive readout gradients, freeing images from even/odd distortions at the expense of efficiency. The other two schemes utilize positive and negative readout gradients, but differ in their kx/y-space trajectories: one employs standard interleaving, the other interleaves while alternating the initial kRO directions. In all cases intra- and inter-shot inconsistencies are corrected using information arising from each set itself, but the scheme with alternating initial kRO directions is best to map the phase distortions of even/odd readouts, due to its higher point density along the SPEN-domain. Figure 2 shows a processing algorithm developed for removing from these data all phase artifacts. SPEN’s non-Fourier nature and lack of image aliasing allows us to perform this for every even/odd set within every shot. These corrections involved equalizing all phases using second-order polynomial fits in (x,y). First a coarse correction was done using super-resolved (SR) SPEN images arising from individual even/odd sets. Subsequently a finer correction was done on these SR SPEN images, which would still showing striping as a result of residual imperfections. Upon FT these stripes translate into high-frequency ky-space echoes; the second, finer correction involved finding the phases that minimized these spurious echoes. To assess this strategy’s ability to provide artifact-free high-resolution ADC maps, data were collected on a 7T/120mm horizontal Agilent MRI scanner and quadrature Millipede® coil, and comparisons run against single-shot SPEN and EPI counterparts. All abdominal measurements were respiration-only synchronized.

RESULTS & DISCUSSION

Figure 3 compares single- and multi-shot b0 and ADC images collected on a live mouse’s brain. Notice the good agreement between the low (single-shot) and high resolution (multi-shot) ADC maps, which in the latter case access the sinuses-challenged olfactory bulb without distortions at a 79µm in-plane resolution. Figures 4 and 5 center on in vivo abdominal images of pregnant and naïve mice. The kidney’s ADC map in Figure 4 clearly reveals the different behavior of the cortex, medulla, collecting ducts and collecting papilla layers. These layers have been observed in anatomical mice images, but to our knowledge it is the first time they are revealed by ADC maps [5]. The pregnant mouse’s ADC map also reveals for the first time multiple fetoplacental features, including a clear delineation of fetal brain hemispheres with distinct CSF and white matter values, fetal organs including lung and heart, fast-diffusing amniotic fluid, distinct placental layers (maternal, fetal, trophoblasts), diffusing fluid in the umbilical cord, and the maternal spine.

CONCLUSION

Interleaved acquisition and processing schemes that exploit SPEN’s image-based, aliasing-free nature, allowed us to reconstruct diffusion images with unprecedented resolution from challenging regions. The methods’ abilities to withstand heterogeneities and motions and to zoom without folding enabled in vivo ADC mapping of the olfactory bulb at high resolution, of various layers in the kidney structure, of fetal mouse brains, and of layers in the maternal placentas. The biological insight that this provides is under study.

Acknowledgements

We are grateful to Dr. Zhiyong Zhang and Dr. Amir Seginer for valuable discussions.Financial support came from the NIH human placenta project (R01HD086323), Minerva funding (#712277), the Kimmel Institute for Magnetic Resonance and the generosity of the Perlman Family Foundation.

References

1. Tal, A. and L. Frydman, Single-scan multidimensional magnetic resonance. Prog Nucl Magn Reson Spectrosc, 2010. 57(3): p. 241-92.

2. Schmidt, R., A. Seginer, and L. Frydman, Interleaved multishot imaging by spatiotemporal encoding: A fast, self-referenced method for high-definition diffusion and functional MRI. Magn Reson Med, 2016. 75(5): p. 1935-48.

3. Ben-Eliezer, N., M. Irani, and L. Frydman, Super-resolved spatially encoded single-scan 2D MRI. Magn Reson Med, 2010. 63(6): p. 1594-600.

4. Seginer, A., et al., Referenceless reconstruction of spatiotemporally encoded imaging data: principles and applications to real-time MRI. Magn Reson Med, 2014. 72(6): p. 1687-95.

5. Hueper, K., et al., Multiparametric Functional MRI: Non-Invasive Imaging of Inflammation and Edema Formation after Kidney Transplantation in Mice. PLoS One, 2016. 11(9): p. e0162705.

Figures

Figure 1 New interleaved SPEN sequences (left) and acquisition trajectories in SPEN’s kx/y-space (right, for Nshot=3) discussed in this study. (A) Fly-back SPEN using only positive readouts free from even/odd distortions. (B) Interleaved SPEN utilizing both positive and negative readouts[2]. All sequences include: kshot and delays for interleaving, a diffusion weighting block with bipolar gradient pulses of duration δ and separation Δ, a SPEN encoding module including an adiabatic π pulse, an acquisition including oscillating gradients Gro and interspersed with blipped Ga gradients yielding the 2D image after 1D FT and super-resolution, and a hard 180˚ pulse to enable multi-slicing.

Figure 2 Processing flowchart adopted for multi-shot SPEN, illustrated for the alternating initial direction option in Fig. 1b: (Left) Eliminating even/odd phase errors caused by imperfect gradients. (Right) Correcting inter-shot inconsistencies caused by motions. All phase corrections were based on analyzing both image- and k-space data: First a rough phase correction was calculated on the image data. To obtain a more accurate correction data was inverse FTd against y, leading to multiple ky-space echoes as consequence of the intra- and inter-scan phase imperfections. Images were then iteratively phase-corrected until eliminating these high frequency k-space components.

Figure 3 In vivo Fast-Spin-Echo (FSE, RARE), EPI and SPEN results obtained on a mouse brain. The grayscale data shows FSE and b0 images, and the colored ones the resulting ADC maps. FOVs and thicknesses for all images were 20x20x1mm3. FSE parameters: TR/TE 2000/34ms, RARE-factor 8, 2 averages, in-plane resolution 104x104µm2. Single-shot EPI/SPEN: in-plane resolution: 312x312µm2. Multishot EPI: TR/TE 2000/43ms, 4 interleaves, 4 averages, 78x156µm2 in-plane resolution, one navigator scan to correct even/odd phase problems. Multishot SPEN parameters: TR/TE 2000/55ms, 7 interleaves, 12 averages, 78x79µm2 in-plane resolution. Diffusion parameters δ=4.5ms, ∆=12ms, maximum Gd=24G/cm.

Figure 4 In vivo diffusion weighted multishot-SPEN for a mouse kidneys. (a,b) b0 and diffusion-weighted multishot-SPEN images. (c,d) ADC map and generating decay curves arising from the SPEN data. Scan parameters: FOV=30x30mm2, TR/TE 2000/42ms, 5 interleaves, 4 averages, in-plane resolution 187*187μm2, 1mm slice, diffusion parameters as in Fig. 3.

Figure 5 In vivo diffusion weighted studies on a pregnant mouse. Shown in grayscale are FSE and SPEN b0 images; shown in color are the corresponding ADC maps. The coronal views exploit SPEN’s zooming ability, leading to 187µm in-plane resolutions. Notice the various fetal features. FOV and thickness for all the images are same: 30x30x1mm3. Notice the motion artifacts in the FSE, absent in the SPEN images. SPEN parameters: TR/TE 2000/42ms, 5 interleaves, 4 averages, diffusion parameters as in Fig 4.

Proc. Intl. Soc. Mag. Reson. Med. 26 (2018)
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