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The Estimation of Free-Water Corrected Diffusion Tensors

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Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Abstract

Diffusion tensor imaging (DTI) is sensitive to micron scale displacement of water molecules, providing unique insight into microstructural tissue architecture. The tensors provide a compact way to describe the average of these displacements that occur within a voxel. However, current practical image resolution is in the millimeter scale, and thus diffusivities from many tissue compartments are averaged in each voxel, reducing the specificity of the measurement to subtle pathologies. In this chapter we review the free-water model, and use it to derive diffusion tensors following the elimination of the free-water component, that is assumed to originate from the extracellular space. Doing so, the resulting diffusion tensors and their derived indices measure the tissue itself, and are more sensitive to the geometry of the tissue, increasing the specificity to pathologies that affect brain tissue.

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Acknowledgements

This work was supported by the following grants: Department of Defense X81XWH-07-CC-CSDoD; NIH P41RR013218, P41EB015902, NIH R01MH074794; VA Merit Award. OP is partly supported by a National Alliance for Research on Schizophrenia and Depression (NARSAD) Young Investigator Grant from the Brain and Behavior Research Foundation.

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Authors and Affiliations

  1. Brigham and Women’s Hospital, Harvard Medical School, Boston, MA, USA

    Ofer Pasternak, Martha E. Shenton, Yogesh Rathi & Carl-Fredrik Westin

  2. German Cancer Research Center, Heidelberg, Germany

    Klaus Maier-Hein

  3. King’s College London, London, UK

    Christian Baumgartner

  4. VA Boston Healthcare System, Brockton, MA, USA

    Martha E. Shenton

Authors
  1. Ofer Pasternak
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  2. Klaus Maier-Hein
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  3. Christian Baumgartner
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  4. Martha E. Shenton
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  5. Yogesh Rathi
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  6. Carl-Fredrik Westin
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Corresponding author

Correspondence to Ofer Pasternak .

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Editors and Affiliations

  1. Dept. of Radiology, Harvard Medical School, Brigham, and Women's Hospital, Boston, Massachusetts, USA

    Carl-Fredrik Westin

  2. Technical University of Delft, Dept of Computer Graphics and Visualization, Delft, The Netherlands

    Anna Vilanova

  3. Universität des Saarlandes, Dept. of Mathematics, Saarbrücken, Germany

    Bernhard Burgeth

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Pasternak, O., Maier-Hein, K., Baumgartner, C., Shenton, M.E., Rathi, Y., Westin, CF. (2014). The Estimation of Free-Water Corrected Diffusion Tensors. In: Westin, CF., Vilanova, A., Burgeth, B. (eds) Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54301-2_11

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