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A new multi-directional fiber model for low angular
resolution diffusion imaging
Aymeric Stamm, Patrick Pérez, Christian Barillot
To cite this version:
Aymeric Stamm, Patrick Pérez, Christian Barillot. A new multi-directional fiber model for low angular resolution diffusion imaging. International Society for Magnetic Resonance in Medicine, May 2012, Australia. pp.908. �inserm-00858206�
908
Intro (DW) seldo angul resol cross accur Theo the d that convo conce (cylin analy these Meth single 30, 4 samp estim Scann image Discu theor this m acqui clinic aniso provi part κ((κ+ Refer Wede MEDI Callag D. Tu 58, 498
oduction: Diff ) images acqu om exceed 10 lar resolution ution samplin s. To account f rately perform ory: In each v diffusion along account for t olution of a v entration (aro ndrical shape) ytically derive e parameters i hods: An eval e voxel. These 1, 64 and 200 ples were syn mated FOs in s ner with a 8-es repr8-esents ussion: This retically estim model allows ired over the cs, one could otropy (FA) aided with this of our model +1)2+2)-1/2 and rences: [1] Ba een et al., MR IA, 1-19, 2010 ghan, 1991 [6 uch, MRM 52 97-510, 2007 A new m 1Visages IN fusion MRI (dM uired from ng minutes acqu n diffusion (LA ngs (ng≥60 and
for that effect med from LARD
oxel, the EAP g some fiber o the diffusion a von Mises & F
ound µ) para ). Crossing fib d as a functio is then perform uation of the e data were ge 0. The resultin nthetized. For situations whe -ch head coil, a typical case s model en mated from on
for the retro past years. wonder whet and mean dif s model. For a l and by anal d MD = (1+κ/3 asser et al., Bi RM 54, 1377-0 [4] Tuch et a 6] Barmpoutis /6, 1358-72, [9] Basser et ulti-directiona Aym NSERM/INRIA U74 MRI) permits gradient dire uisition, with ARD) images b d nb≥1) [2,3,4 t, we propose D images obta is modeled a orientation (FO along directio Fisher pdf on ameter κ≥0, a bers are cons n of the param med by a least crossing angl enerated as in ng data sets w a given ng a
ere the real F TR/TE/τ = 1 e of LARD imag nables crossi nly 8 DW im ospective stud For a compl ther maps ak ffusivity (MD)
given FO, bas ogy with DTI 3) R2/(1+κ). iophys. J. 66/ -86, 2005 [3] al., MRM 48, 57 s et al., IPMI 2 2004 [8] Desc al., J. Magn. Re al fiber model
meric Stamm1, Patr
46, IRISA - UMR C to infer the en ctions and nb ng ≤ 30 and o by assuming a 4] have reveal a non-Gaussi ained in clinica s a mixture. E O) ±µ, ||µ||=1 ons µ and -µ the sphere o and a centere sequently cha meters of the m t squares fittin le resolution n [6] for differ were then corr and σ, the CA Os are colline 10000/64/22 ges with low s
Res sign low typi of 3 60° sho fibe pro esti ng fibers t ages. In parti dy of DW dat ete applicabil in to the frac ) maps [9] c sed on the Gau I, we propose 1, 259-67, 199 Descoteaux 77-82, 2002 [5 1, 338-49, 20 coteaux et al., eson. B-111, 2
l for low angu
rick Pérez2, and Ch
CNRS 6074, Renn
nsemble aver
b b-values. In
only one b-va a Gaussian dif ed a non-Gaus an parametric al context. Each probabili 1, and is in tur respectively. f radius R>0 ed 3D Gaussia aracterized by model and yie ng of the obse (CAR) of the rent configura rupted with in AR was comp ear. A healthy .1ms, b=800s spatial resolut sults: Figure o nal-to-noise ra w SNRs, increa ical clinical va 30° outperform for higher a ws an extrem ers (the height portional to mated despite to be icular, ta sets lity in ctional an be ussian e FA = 94 [2] et al., 5] P.T. 09 [7] MRM 209-19, 1996. ular resolution hristian Barillot1
es, France, 2Techn
rage propagato the context o alue. The EAP ffusion profile ssian diffusion c modeling of ity density fu rn modeled as . The diffusio (mean covere an pdf with y 8 parameter
elds the theor rved DW inte model was fi ations of the t ncreasing Rici puted as the 9 y adult male w s/mm2, ng=15
tion from whic on the left sho atios (SNR). E asing ng does
alues of SNR = ms the CAR ob angular resolu mity of the cor t of the cones 1/(κ+1)). Fi e the low angu
n diffusion ima nicolor, Rennes, F or (EAP) from of clinical brai P is then infer e [1]. In resea n profile in th f the EAP, the nction (pdf) i s a mixture of on pdf along d ed distance), covariance m rs. The Fouri retical DW inte nsities to the irst performe two FOs with ian noise and 95% confiden was scanned o 5 and 2x2x2m ch our model ows the CAR ach curve cor s not significa = 20dB and ng btained in Q-B ution (ng=81) rpus callosum s is proportion iber crossing ular and spati
aging
France
m a set of diffu in imaging, dM rred from the arch context, h he white matt estimation of in the mixture f two equally direction µ is with mean d matrix D=R2 (I ier transform ensity [5]. The theoretical on d using synth b = 1500s/m , for each nois nce angle bet on a 3T Achiev mm3 voxels. T of the EAP wa of the model rresponds to a antly improve =30, the corre Ball Imaging [8]. Figure o m known to co nal to R² whil gs seem to al resolutions usion-weighte MRI sequence e resulting low higher angula er when fiber f which can b e characterize weighted pdf s given by th irection µ an 3+κµµ’)/(κ+1 of the EAP i e estimation o nes. hetic data on mm2 and ng=15 se level σ, 10 tween the tw va Philips MR This set of DW as estimated. for increasin a given ng. Fo e the CAR. Fo esponding CAR [7], i.e. aroun on the bottom ontain crossin le the radius i be accuratel s. d es w ar rs e es fs e d 1) is of a 5, 0 o RI W g or or R d m g s y
