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Field-Based Parameterisation of Cardiac Muscle Structure from Diffusion Tensors

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Functional Imaging and Modeling of the Heart (FIMH 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9126))

Abstract

This paper presents a robust method to directly construct parametric representations of myocardial structure using a left ventricular (LV) finite element model customised to diffusion tensors derived from cardiac diffusion tensor magnetic resonance images (DTMRI). This method avoids the need to solve the eigenvector problem, and therefore avoids issues due to ambiguous eigenvector directions, and the non-uniqueness of eigenvectors in regions of isotropic diffusion. Finite element parameters describing the fibre orientations of a geometric model of the LV are directly fitted to diffusion tensors using non-linear least squares optimisation. The method was tested using ex vivo DTMRI data from a Wistar-Kyoto rat and compared against the conventional eigenvector analysis. Close agreement was found in most regions, except at some boundary locations, and in regions with low fractional anisotropy.

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Notes

  1. 1.

    The MathWorks, Inc., Natick, Massachusetts, United States.

  2. 2.

    OpenCMISS-Cmgui application, www.opencmiss.org.

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Authors and Affiliations

  1. Auckland Bioengineering Institute, University of Auckland, Auckland, New Zealand

    Bianca Freytag, Vicky Y. Wang, G. Richard Christie, Alexander J. Wilson, Gregory B. Sands, Ian J. LeGrice, Alistair A. Young & Martyn P. Nash

  2. Department of Physiology, University of Auckland, Auckland, New Zealand

    Alexander J. Wilson, Gregory B. Sands & Ian J. LeGrice

  3. Department of Anatomy with Radiology, University of Auckland, Auckland, New Zealand

    Alistair A. Young

  4. Department of Engineering Science, University of Auckland, Auckland, New Zealand

    Martyn P. Nash

Authors
  1. Bianca Freytag
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  2. Vicky Y. Wang
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  3. G. Richard Christie
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  4. Alexander J. Wilson
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  5. Gregory B. Sands
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  6. Ian J. LeGrice
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  7. Alistair A. Young
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  8. Martyn P. Nash
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Corresponding author

Correspondence to Vicky Y. Wang .

Editor information

Editors and Affiliations

  1. Eindhoven University of Technology, Eindhoven, The Netherlands

    Hans van Assen

  2. Eindhoven University of Technology, Eindhoven, The Netherlands

    Peter Bovendeerd

  3. Maastricht University, Maastricht, The Netherlands

    Tammo Delhaas

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Freytag, B. et al. (2015). Field-Based Parameterisation of Cardiac Muscle Structure from Diffusion Tensors. In: van Assen, H., Bovendeerd, P., Delhaas, T. (eds) Functional Imaging and Modeling of the Heart. FIMH 2015. Lecture Notes in Computer Science(), vol 9126. Springer, Cham. https://doi.org/10.1007/978-3-319-20309-6_17

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  • DOI: https://doi.org/10.1007/978-3-319-20309-6_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20308-9

  • Online ISBN: 978-3-319-20309-6

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