Abstract
Microstructure recovery procedures via Diffusion-Weighted Magnetic Resonance Imaging (DW-MRI) usually discard the signal’s phase, assuming symmetry in the underlying diffusion process. We propose to recover the Ensemble Average Propagator (EAP) directly from the complex DW signal in order to describe also eventual diffusional asymmetry, thus obtaining an asymmetric EAP. The asymmetry of the EAP is then related to tortuosity of undulated white matter axons, which are found in pathological scenarios associated with axonal elongation or compression. We derive a model of the EAP for this geometry and quantify its asymmetry. Results show that the EAP obtained when accounting for the DW signal’s phase provides useful microstructural information in such pathological scenarios. Furthermore, we validate these results in-silico through 3D Monte-Carlo simulations of white matter tissue that has experienced different degrees of elongation/compression.
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Assaf, Y., Blumenfeld-Katzir, T., Yovel, Y., Basser, P.J.: AxCaliber: a method for measuring axon diameter distribution from diffusion MRI. MRM 59(6), 1347–1354 (2008)
Zhang, H., Schneider, T., Wheeler-Kingshott, C.A., Alexander, D.C.: NODDI: practical in vivo neurite orientation dispersion and density imaging of the human brain. Neuroimage 61(4), 1000–1016 (2012)
Alexander, D.C.: A general framework for experiment design in diffusion MRI and its application in measuring direct tissue-microstructure features. MRN 60(2), 439–448 (2008)
Nilsson, M., Lätt, J., Stahlberg, F., Westen, D., Hagsltt, H.: The importance of axonal undulation in diffusion MR measurements: a Monte Carlo simulation study. NMR in Biomedicine 25(5), 795 (2012)
Shacklock, M.: Biomechanics of the Nervous System: Breig Revisited. Neurodynamics Solutions, Adelaide (2007)
Tanner, J.E., Stejskal, E.: Restricted Self-Diffusion of Protons in Colloidal Systems by the Pulsed-Gradient, Spin-Echo Method. JCP 49(4), 1768–1777 (1968)
Özarslan, E., Koay, C.G., Basser, P.J.: Remarks on q-space MR propagator in partially restricted, axially-symmetric, and isotropic environments. MRI 27(6), 834–844 (2009)
Hellinger, E.: Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen. Journal für die reine und angewandte Mathematik (1909)
Hall, M.G., Alexander, D.C.: Convergence and parameter choice for Monte-Carlo simulations of diffusion MRI. IEEE TMI 28, 1354–1364 (2009)
Bracewell, R.: The Fourier transform and its applications, New York (2000)
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Pizzolato, M., Wassermann, D., Boutelier, T., Deriche, R. (2015). Exploiting the Phase in Diffusion MRI for Microstructure Recovery: Towards Axonal Tortuosity via Asymmetric Diffusion Processes. In: Navab, N., Hornegger, J., Wells, W., Frangi, A. (eds) Medical Image Computing and Computer-Assisted Intervention -- MICCAI 2015. MICCAI 2015. Lecture Notes in Computer Science(), vol 9349. Springer, Cham. https://doi.org/10.1007/978-3-319-24553-9_14
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DOI: https://doi.org/10.1007/978-3-319-24553-9_14
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