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Field-Based Parameterisation of Cardiac Muscle Structure from Diffusion Tensors

  • Bianca Freytag
  • Vicky Y. WangEmail author
  • G. Richard Christie
  • Alexander J. Wilson
  • Gregory B. Sands
  • Ian J. LeGrice
  • Alistair A. Young
  • Martyn P. Nash
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, 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.

Keywords

Model-based parameterisation Myocardial fibre orientation Diffusion tensor magnetic resonance imaging 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Bianca Freytag
    • 1
  • Vicky Y. Wang
    • 1
    Email author
  • G. Richard Christie
    • 1
  • Alexander J. Wilson
    • 1
    • 2
  • Gregory B. Sands
    • 1
    • 2
  • Ian J. LeGrice
    • 1
    • 2
  • Alistair A. Young
    • 1
    • 3
  • Martyn P. Nash
    • 1
    • 4
  1. 1.Auckland Bioengineering InstituteUniversity of AucklandAucklandNew Zealand
  2. 2.Department of PhysiologyUniversity of AucklandAucklandNew Zealand
  3. 3.Department of Anatomy with RadiologyUniversity of AucklandAucklandNew Zealand
  4. 4.Department of Engineering ScienceUniversity of AucklandAucklandNew Zealand

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