Abstract
The brain microstructure consists of the complex organization of cellular structures and extra-cellular space. Insights into this microstructure can be gained in vivo by means of diffusion-weighted imaging that is sensitive to the local patterns of diffusion of water molecules throughout the brain. Diffusion compartment imaging (DCI) provides a separate parameterization for the diffusion signal arising from each compartment of water molecules at each voxel. Their use in population studies and longitudinal monitoring of diseases hold promise for unraveling alterations of the brain microstructure in various disorders and conditions. Yet, to analyze multi-compartment models, high-level operations commonly used in scalar images need to be generalized. We present a framework that enables interpolation, averaging, filtering, spatial normalization and statistical analyses of multi-compartment data with a focus on multi-tensor representations. This framework is based on the generalization of linear combinations of voxel values through mixture simplification. We illustrate the impact of this framework in registration, atlas construction, tractography and population studies.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Arsigny, V., Fillard, P., Pennec, X., Ayache, N.: Log-euclidean metrics for fast and simple calculus on diffusion tensors. Magn. Reson. Med. 56(2), 411–421 (2006)
Assaf, Y., Basser, P.J.: Composite hindered and restricted model of diffusion (charmed) MR imaging of the human brain. NeuroImage 27(1), 48–58 (2005)
Cabeen, R.P., Bastin, M.E., Laidlaw, D.H.: Estimating constrained multi-fiber diffusion MR volumes by orientation clustering. In: Medical Image Computing and Computer-Assisted Intervention–MICCAI 2013, pp. 82–89. Springer, Berlin (2013)
Collard, A., Bonnabel, S., Phillips, C., Sepulchre, R.: Anisotropy preserving DTI processing. Int. J. Comput. Vis. 107(1), 58–74 (2014)
Guimond, A., Meunier, J., Thirion, J.P.: Average brain models: a convergence study. Comput. Vis. Image Underst. 77(2), 192–210 (2000)
Jeurissen, B., Leemans, A., Tournier, J.D., Jones, D.K., Sijbers, J.: Investigating the prevalence of complex fiber configurations in white matter tissue with diffusion magnetic resonance imaging. Hum. Brain Mapp. 34(11), 2747–2766 (2013)
Malcolm, J.G., Shenton, M.E., Rathi, Y.: Filtered multitensor tractography. IEEE Trans. Med. Imaging 29(9), 1664–1675 (2010)
Ng, A.Y., Jordan, M.I., Weiss, Y., et al.: On spectral clustering: analysis and an algorithm. Adv. Neural Inf. Process. Syst. 2, 849–856 (2002)
Nichols, T.E., Holmes, A.P.: Nonparametric permutation tests for functional neuroimaging: a primer with examples. Hum. Brain Mapp. 15(1), 1–25 (2002)
Panagiotaki, E., Schneider, T., Siow, B., Hall, M.G., Lythgoe, M.F., Alexander, D.C.: Compartment models of the diffusion MR signal in brain white matter: a taxonomy and comparison. NeuroImage 59(3), 2241–2254 (2012)
Pasternak, O., Westin, C.F., Bouix, S., Seidman, L.J., Goldstein, J.M., Woo, T.U.W., Petryshen, T.L., Mesholam-Gately, R.I., McCarley, R.W., Kikinis, R., et al.: Excessive extracellular volume reveals a neurodegenerative pattern in schizophrenia onset. J. Neurosci. 32(48), 17365–17372 (2012)
Peters, J.M., Taquet, M., Prohl, A.K., Scherrer, B., van Eeghen, A.M., Prabhu, S.P., Sahin, M., Warfield, S.K.: Diffusion tensor imaging and related techniques in tuberous sclerosis complex: review and future directions. Future Neurol. 8(5), 583–597 (2013)
Scherrer, B., Warfield, S.K.: Parametric representation of multiple white matter fascicles from cube and sphere diffusion mri. PLoS One 7(11), e48232 (2012)
Scherrer, B., Schwartzman, A., Taquet, M., Prabhu, S.P., Sahin, M., Akhondi-Asl, A., Warfield, S.K.: Characterizing the distribution of anisotropic micro-structural environments with diffusion-weighted imaging (diamond). In: Medical Image Computing and Computer-Assisted Intervention–MICCAI 2013, pp. 518–526. Springer, Berlin (2013)
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)
Taquet, M., Macq, B., Warfield, S.K.: A generalized correlation coefficient: application to DTI and multi-fiber DTI. In: 2012 IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA), pp. 9–14. IEEE, Breckenridge (2012)
Taquet, M., Scherrer, B., Benjamin, C., Prabhu, S., Macq, B., Warfield, S.K.: Interpolating multi-fiber models by gaussian mixture simplification. In: 2012 9th IEEE International Symposium on Biomedical Imaging (ISBI), pp. 928–931. IEEE, Barcelona (2012)
Taquet, M., Scherrer, B., Commowick, O., Peters, J., Sahin, M., Macq, B., Warfield, S.K.: Registration and analysis of white matter group differences with a multi-fiber model. In: Medical Image Computing and Computer-Assisted Intervention–MICCAI 2012, pp. 313–320. Springer, Berlin (2012)
Taquet, M., Scherrer, B., Boumal, N., Macq, B., Warfield, S.K.: Estimation of a multi-fascicle model from single b-value data with a population-informed prior. In: Medical Image Computing and Computer-Assisted Intervention–MICCAI 2013, pp. 695–702. Springer, Berlin (2013)
Taquet, M., Scherrer, B., Macq, B., Warfield, S.K., et al.: Multi-fascicle model reconstruction from acquisitions at a single b-value with a population-informed prior. In: Proceedings of the 21st International Symposium on Magnetic Resonance in Medicine (ISMRM), vol. 30 (2013)
Taquet, M., Scherrer, B., Peters, J.M., Prabhu, S.P., Warfield, S.K.: A fully bayesian inference framework for population studies of the brain microstructure. In: Medical Image Computing and Computer-Assisted Intervention–MICCAI 2014. Springer, Berlin (2014)
Taquet, M., Scherrer, B., Commowick, O., Peters, J., Sahin, M., Macq, B., Warfield, S.: A mathematical framework for the registration and analysis of multi-fascicle models for population studies of the brain microstructure. IEEE Trans. Med. Imaging 33(2), 504–517 (2014)
Tuch, D.S., Reese, T.G., Wiegell, M.R., Makris, N., Belliveau, J.W., Wedeen, V.J.: High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn. Reson. Med. 48(4), 577–582 (2002)
Wagstaff, K., Cardie, C., Rogers, S., Schrödl, S., et al.: Constrained k-means clustering with background knowledge. In: ICML, vol. 1, pp. 577–584 (2001)
Zhang, K., Kwok, J.T.: Simplifying mixture models through function approximation. In: Advances in Neural Information Processing Systems, pp. 1577–1584 (2006)
Zhang, K., Kwok, J.T.: Simplifying mixture models through function approximation. IEEE Trans. Neural Netw. 21(4), 644–658 (2010)
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Taquet, M., Scherrer, B., Warfield, S.K. (2015). A Framework for the Analysis of Diffusion Compartment Imaging (DCI). In: Hotz, I., Schultz, T. (eds) Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-319-15090-1_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-15090-1_14
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15089-5
Online ISBN: 978-3-319-15090-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)