Marco Palombo1,2, Clémence Ligneul1,2, Chloé Najac1,2, Juliette Le Douce1,2, Julien Flament1,2, Carole Escartin1,2, Philippe Hantraye1,2, Emmanuel Brouillet1,2, Gilles Bonvento1,2, and Julien Valette1,2
1CEA/DSV/I2BM/MIRCen, Fontenay-aux-Roses, France, 2CNRS Université Paris-Saclay UMR 9199, Fontenay-aux-Roses, France
Synopsis
We
introduce a novel paradigm for non-invasive brain microstructure
quantification, where original diffusion modeling is merged with cutting-edge
diffusion-weighted spectroscopy (DW-MRS) experiments to capture features of
cellular morphology that have remained largely ignored by DW-MRI. A compact
description of long-range cellular morphology is used to randomly generate
large collections of synthetic cells where particles diffusion is
simulated. After investigating model robustness, we apply it on metabolite ADC
measured in vivo in the monkey brain up to td=2
seconds. The new paradigm introduced here opens new possibilities to
non-invasively extract quantitative information about cell size, complexity and
heterogeneity in the brain.Purpose
We introduce a novel
paradigm for non-invasive brain microstructure quantification, where advanced
diffusion modeling is merged with cutting-edge diffusion-weighted spectroscopy
(DW-MRS) to capture features of cellular morphology that have remained largely
ignored by DW-MRI. We elaborate on the finding that metabolite diffusion
measured at long diffusion times t
d (up to ~1 second) is
fairly stable in the primate brain
1,2,
suggesting that metabolites (which, unlike water, are almost exclusively
intracellular) are not significantly confined in subcellular regions, but are
instead diffusing in long neuronal and astrocytic fibers. However, metabolites
should experience long-range structure as t
d keeps increasing. They
will explore the ramifications and experience restriction at the extremity of
fibers, making their ADC depends on these parameters. To analyze these kinds of
data, we propose a model using a compact description of long-range cellular
morphology, based on a small set of morphometric statistics, to generate large
collections of randomly generated synthetic cells where particles diffusion is
simulated. The values of morphometric statistics can then be iterated until calculated
ADC matches experimental ADC (Fig.1). After describing the model and
investigating its robustness, we apply it on experimental metabolites ADC
measured in the monkey brain up to t
d=2 seconds.
Methods
Assuming the signal attenuation due to displacement perpendicular
to fibers is negligible (valid for t
d longer than a few dozen ms), a set of four parameters
is used to describe the morphometric statistics (mean and S.D. of segment
length L
segment and SD
Lsegment, and the
mean and S.D. of embranchments along cell processes N
branch and SD
Nbranch)
generating synthetic branched cells (like neurons and astrocytes). N=2000
particles are positioned in each cell and diffusion is simulated by Monte Carlo
(with effective intracellular diffusivity D
intra), allowing to compute
phase evolution and signal. 80 different cell-graphs are generated to account
for cellular heterogeneity. D
intra, L
segment, SD
Lsegment, N
branch and SD
Nbranch are iteratively changed
until simulated ADC matches measured ADC (Fig.1). While above parameters have a
clear effect on ADC(t
d) (Fig.2A), the number of processes radiating
from the cell body doesn’t, and is therefore set to 10±5. The fitting procedure
uses a combined Parallel-Tempering and Levenberg-Marquardt approach
3, for unsupervised
initialization and quick convergence.Code was implemented in Matlab to manage
the computation in parallel on GPU device, making it possible to fit
experimental ADC in ~3 minutes. Fitting stability relative to noise was
assessed by 250 Monte Carlo trials: at each trial, Gaussian noise (15% relative
S.D.) was added to a reference ADC(t
d) curve to generate a new
dataset, which was analyzed using the fitting pipeline. Stability of the fit
was then evaluated by studying the bias and the coefficient of variation (CV)
of the estimated parameters. Brain metabolite ADC as a function of t
d was measured in seven healthy macaques, as we
have recently described
1. Spectra were acquired at b=0 and 3000 s/mm
2 using a STEAM sequence
(TE=18 ms) with cross-terms cancellation for t
d =
86, 361, 511, 661, 1011 and 2011 ms. Post-processing consisted in scan-to-scan
phasing, eddy current correction and subtraction of experimental macromolecule
spectrum. Spectra were analyzed with LCModel to estimate the ADC of total
N-acetyl aspartate (tNAA=NAA+NAAG), total creatine (tCr), choline compounds
(tCho), glutamate (Glu), and myo-inositol (Ins).
Results and Discussion
Accuracy and precision of
the fit with respect to noise are reported in Fig.2B and quantified in Table 1.
Less than 5% error for all parameters was found, yielding satisfying accuracy
and precision despite 15% noise on ADC. Experimental ADC as a function of t
d is reported in Fig.3 for
all metabolites. Morphometric statistics evaluated from the fit of experimental
data (Fig.3) are reported in Table 2. Generally speaking, cell size and
complexity appear realistic. It is striking that the compartments extracted for
all five metabolites match the expected cell-specificity: Ins and tCho, which
are generally supposed to be mainly astrocytic
4, are indeed found to be in similar, smaller and
simpler synthetic cells, while Glu and tNAA, which are supposed to be neuronal,
are found to be in similar, larger and more complex cells. tCr, which is
supposed to have no preferential compartmentation, is found in intermediate
cells, with larger heterogeneity (mostly SD
Lsegment).
Conclusion
The new paradigm introduced here lets us foresee for
the first time the possibility to non-invasively extract quantitative
information about long-range cellular structure (size, complexity and even
heterogeneity) in the brain. The model can of course be refined by adding other
morphometric parameters of interest, depending on the context and available
data. However, it already gives results that can be compared with real
histological data, as explored in another abstract presented at this symposium.
Acknowledgements
This work was funded by
the European Research Council (ERC-336331-INCELL).References
1 Najac
C, et al. NeuroImage 2014; 90: 374-380.
2 Najac
C, et al. Brain Struct. Fun. DOI: 10.1007/s00429-014-0968-5 (in press).
3 Palombo M, et al., Proceedings of the 23rd ISMRM
Annual Meeting 2015; Abstract # 2982
4 Choi J.K. et al. NMR Biomed. 2007;
20(3): 216-237.