Abstract
A novel diffusion anisotropy metric is presented. It is based on dissimilarity between the acquired diffusion signal and its isotropic equivalent. Using the inner product of signals, a closed form expression is obtained, which allows its computation using spherical harmonics from a reduced set of acquired data, compatible with most popular diffusion MRI acquisition protocols. Results show that the proposed metric (1) is able to discriminate among different microstructure scenarios; (2) shows a robust behaviour in clinical studies.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aja-Fernández, S., Pieciak, T., Tristán-Vega, A., Vegas-Sánchez-Ferrero, G., Molina, V., de Luis-García, R.: Scalar diffusion-MRI measures invariant to acquisition parameters: a first step towards imaging biomarkers. Magn. Reson. Imag. 54, 194–213 (2018)
Alexander, D.C.: A general framework for experiment design in diffusion MRI and its application in measuring direct tissue-microstructure features. Magn. Reson. Med. 60(2), 439–448 (2008)
Atkinson-Clement, C., Pinto, S., Eusebio, A., Coulon, O.: Diffusion tensor imaging in Parkinson’s disease: review and meta-analysis. Neuroimage: Clin. 16, 98–110 (2017)
Avram, A.V., Sarlls, J.E., Barnett, A.S., Özarslan, E., Thomas, C., Irfanoglu, M.O., Hutchinson, E., Pierpaoli, C., Basser, P.J.: Clinical feasibility of using mean apparent propagator (MAP) MRI to characterize brain tissue microstructure. NeuroImage 127, 422–434 (2016)
Basser, P.J.: Relationships between diffusion tensor and q-space MRI. Magn. Reson. Med. 47(2), 392–397 (2002)
Basser, P., Pierpaoli, C.: Microstructural features measured using diffusion tensor imaging. J. Magn. Reson. B 111(3), 209–219 (1996)
Behrens, T.E., Woolrich, M.W., Jenkinson, M., Johansen-Berg, H., Nunes, R.G., Clare, S., Matthews, P.M., Brady, J.M., Smith, S.M.: Characterization and propagation of uncertainty in diffusion-weighted MR imaging. Magn. Reson. Med. 50(5), 1077–1088 (2003)
Callaghan, P., Eccles, C., Xia, Y.: Nmr microscopy of dynamic displacements: k-space and q-space imaging. J. Phys. E: Sci. Instrum. 21(8), 820–822 (1988)
Descoteaux, M., Angelino, E., Fitzgibbons, S., Deriche, R.: Apparent diffusion profile estimation from high angular resolution diffusion images: estimation and applications. Magn. Reson. Med. 56(2), 395–410 (2006)
Gallager, R.G.: Principles of Digital Communication. Cambridge University Press Cambridge, Cambridge, UK (2008)
Hansen, B., Jespersen, S.N.: Kurtosis fractional anisotropy, its contrast and estimation by proxy. Sci. Rep. 6, 23999 (2016)
Mori, S., Wakana, S., Van Zijl, P.C., Nagae-Poetscher, L.: MRI Atlas of Human White Matter. Elsevier (2005)
Özarslan, E., Koay, C.G., Shepherd, T.M., Komlosh, M.E., Irfanoğlu, M.O., Pierpaoli, C., Basser, P.J.: Mean apparent propagator (MAP) MRI: a novel diffusion imaging method for mapping tissue microstructure. NeuroImage 78, 16–32 (2013)
Özarslan, E., Sepherd, T.M., Vemuri, B.C., Blackband, S.J., Mareci, T.H.: Resolution of complex tissue microarchitecture using the Diffusion Orientation Transform (DOT). NeuroImage 31, 1086–1103 (2006)
Özarslan, E., Vemuri, B.C., Mareci, T.H.: Generalized scalar measures for diffusion MRI using trace, variance, and entropy. Magn. Reson. Med. 53(4), 866–876 (2005)
Smith, S.M., Jenkinson, M., Johansen-Berg, H., Rueckert, D., Nichols, T.E., Mackay, C.E., Watkins, K.E., Ciccarelli, O., Cader, M.Z., Matthews, P.M., et al.: Tract-based spatial statistics: voxelwise analysis of multi-subject diffusion data. Neuroimage 31(4), 1487–1505 (2006)
Tuch, D.S., Reese, T.G., Wiegell, M.R., Wedeen, V.J.: Diffusion MRI of complex neural architecture. Neuron 40, 885–895 (2003)
Westin, C.F., Maier, S.E., Mamata, H., Nabavi, A., Jolesz, F.A., Kikinis, R.: Processing and visualization for diffusion tensor MRI. Med. Image Anal. 6(2), 93–108 (2002)
Ziegler, E., Rouillard, M., André, E., Coolen, T., Stender, J., Balteau, E., Phillips, C., Garraux, G.: Mapping track density changes in nigrostriatal and extranigral pathways in Parkinson’s disease. Neuroimage 99, 498–508 (2014)
Acknowledgements
This work was supported by Ministerio de Ciencia e Innovación of Spain with research grants RTI2018-094569-B-I00 and PRX18/00253 (Estancias de profesores e investigadores senior en centros extranjeros).
The authors acknowledge Rutger H.J. Fick for providing his personal implementation of the MAP-MRI to estimate the PA. The authors are also grateful to Maryam Afzali from Cardiff University Brain Research Imaging Center for interesting discussion about MAP-MRI model and the multichamber experiment.
Data collection and sharing for this work was provided by (1) the Human Connectome Project (HCP; Principal Investigators: Bruce Rosen, M.D., Ph.D., Arthur W. Toga, Ph.D., Van J. Weeden, MD). HCP funding was provided by the National Institute of Dental and Craniofacial Research (NIDCR), the National Institute of Mental Health (NIMH), and the National Institute of Neurological Disorders and Stroke (NINDS). HCP data are disseminated by the Laboratory of Neuro Imaging at the University of Southern California; (2) the High-quality diffusion-weighted imaging of Parkinson’s disease data base, Cyclotron Research Centre, University of Liège.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Aja-Fernández, S., Tristán-Vega, A., de Luis-García, R., Jones, D.K. (2020). Alternative Diffusion Anisotropy Metric from Reduced MRI Acquisitions. In: Bonet-Carne, E., Hutter, J., Palombo, M., Pizzolato, M., Sepehrband, F., Zhang, F. (eds) Computational Diffusion MRI. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-030-52893-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-030-52893-5_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-52892-8
Online ISBN: 978-3-030-52893-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)