Pulsed diffusion and oscillating diffusion gradients implemented in a semi-Laser sequence for measuring at long and short diffusion times were tested in a phantom and applied in vivo. Metabolite diffusion constants measured in human gray matter in 6 healthy volunteers at short diffusion times were significantly higher than those determined at long diffusion times, suggesting an enhanced sensitivity to diffusion on the cellular and subcellular level.
A semi-Laser6 localization sequence (cf. Fig.1) was extended to include diffusion-weighting by OGSE7,8 and PGSE9 elements, sensitive to TDs <10ms and >50ms, respectively. To counteract limited diffusion-weighting for OGSE a stretching exponent α was included to increase the gradient area10. The effective TD for OGSE is calculated from the gradient modulation spectrum (Fourier transform of total diffusion gradient shape G(t)) by10
$$\omega_{eff}^{OGSE}=\frac{\int_{0}^{\infty}\omega|F(\omega)|^2 d\omega}{\int_{0}^{\infty}|F(\omega)|^2 d\omega} \qquad TD_{eff}^{OGSE}=\frac{1}{4\,\omega_{eff}^{OGSE}}$$
The diffusion-weighting b was calculated by integration of G(t)
$$ b = \int_{0}^{T}dt \left[ \gamma \int_{0}^{t}G(t') dt' \right]^2$$
The parameter space in terms of b-value and TD as accessible on a clinical scanner is shown in Fig.2 as function of echo time (TE) and number of oscillation-periods N. As example, |F(ω)|² is provided for the {TD[ms],b[s/mm²],N} combinations of {5.7,1560,1}, {8.3,4660,1} and {4.5,1560,4} at α=8. For our diffusion measurements, TEs 150 and 200ms were chosen (N=1). At equal TE, PGSE was applied with effective TDs of 107 and 155ms and maximal b-values of 1716 and 4140s/mm². Background diffusion-weighting arising from crusher and slice-selecting gradients for a typical VoI of 30x30x30mm³ was estimated to be merely 55s/mm². Adiabatic metabolite-cycling and selective inversion-recovery pulses were added before localization to acquire water and metabolites simultaneously and suppress CSF (TI=1200ms)11. The inherent water reference was applied for frequency, phase, eddy-current correction and motion-compensation12. The sLaser sequence with PGSE and OGSE at 8 different b-values was tested in a “braino” phantom (TE=150ms) filled with an aqueous solution of typical brain metabolites and applied in vivo (TE=200ms) in gray matter of six healthy volunteers (age: 45.0±13.1yrs). Measurements were performed on a 3T Siemens PRISMA scanner using a 20-channel headcoil. Spectra were fitted with FiTAID13, first independently to probe mono-exponentiality of the decay and second simultaneously imposing a mono-exponential DW signal decay together with spectral linear-combination-model fitting14. The metabolite basis sets were simulated for sLaser with VESPA using real pulse shapes15.
[1] Choi J, Dedeoglu A, and Jenkins B. Application of MRS to mouse models of neurodegenerative illness. NMR Biomed 2007; 20:216–237.
[2] Valette J, Ligneul C, Marchadour C, Najac C, and Palombo M. Brain Metabolite Diffusion from Ultra-Short to Ultra-Long Time Scales: What Do We Learn, Where Should We Go?. Front Neurosci 2018; 12:1–6.
[3] Najac C, Branzoli F, Ronen I, and Valette J. Brain intracellular metabolites are freely diffusing along cell fibers in grey and white matter, as measured by diffusion-weighted MR spectroscopy in the human brain at 7 T. Brain Struct Funct 2016; 221:1245–1254.
[4] Kroenke CD, Ackerman J, and Yablonskiy D. On the nature of the NAA diffusion attenuated MR signal in the central nervous system. Magn Reson Med 2004; 52:1052–1059.
[5] Ligneul J, Palombo C, Flament M, and Valette J. Approaching free intracellular diffusion by diffusion-weighted MRS at ultra-short time scales: initial results in the rodent brain using a 1.5 T/m gradient. Proc Intl Soc Mag Reson Med 2017; 25:1082.
[6] Öz G and Tkáč I. Short-echo, single-shot, full-intensity proton magnetic resonance spectroscopy for neurochemical profiling at 4 T: Validation in the cerebellum and brainstem. Magn Reson Med 2011; 65:901–910.
[7] Gross R and Kosfeld B. Anwendung der Spin-Echo‐Methode bei der Messung der Selbstdiffusion. Messtechnik 1969; 77:171–177.
[8] Does M, Parsons E, and GoreJ. Oscillating gradient measurements of water diffusion in normal and globally ischemic rat brain. Magn Reson Med 2003; 49:206–215.
[9] Stejskal E and Tanner J. Spin Diffusion Measurements: Spin Echoes in the Presence of a Time‐Dependent Field Gradient. J Chem Phys 1965; 42:288–292.
[10] Ligneul C and Valette J. Probing metabolite diffusion at ultra-short time scales in the mouse brain using optimized oscillating gradients and ‘short’-echo-time diffusion-weighted MRS. NMR Biomed 2017; 30:e3671.
[11] Hajnal J, Oatridge A, Herlihy A, and Bydder G. Reduction of CSF artifacts on FLAIR images by using adiabatic inversion pulses. Am J Neuroradiol 2001; 22:317–322.
[12] Döring A, Adalid V, Boesch C, and Kreis R. Diffusion-weighted magnetic resonance spectroscopy boosted by simultaneously acquired water reference signals. Magn Reson Med 2018; 80:2326–2338.
[13] Chong D, Kreis R, Bolliger C, Boesch C, and Slotboom J. Two-dimensional linear-combination model fitting of magnetic resonance spectra to define the macromolecule baseline using FiTAID, a Fitting Tool for Arrays of Interrelated Datasets. MAGMA 2011; 24:147–164.
[14] Adalid V, Döring A, Kyathanahally S, Bolliger C, Boesch C, and Kreis R. Fitting interrelated datasets: metabolite diffusion and general lineshapes. MAGMA 2017; 30:429–448.
[15] Soher B, Semanchuk P, Todd D, and Young K. Vespa: Versatile Simulation, Pulses and Analysis for MR Spectroscopy. 2017; Available: http://scion.duhs.duke.edu/vespa/.