Connection Forms for Beating the Heart

LV Mechanics Challenge (Methods)
  • Arthur Mensch
  • Emmanuel Piuze
  • Lucas Lehnert
  • Adrianus J. Bakermans
  • Jon Sporring
  • Gustav J. Strijkers
  • Kaleem Siddiqi
Conference paper

DOI: 10.1007/978-3-319-14678-2_9

Part of the Lecture Notes in Computer Science book series (LNCS, volume 8896)
Cite this paper as:
Mensch A. et al. (2015) Connection Forms for Beating the Heart. In: Camara O., Mansi T., Pop M., Rhode K., Sermesant M., Young A. (eds) Statistical Atlases and Computational Models of the Heart - Imaging and Modelling Challenges. STACOM 2014. Lecture Notes in Computer Science, vol 8896. Springer, Cham

Abstract

We combine recent work on modeling cardiac mechanics using a finite volume method with the insight that heart wall myofiber orientations exhibit a particular volumetric geometry. In our finite volume mechanical simulation we use Maurer-Cartan one-forms to add a geometrical consistency term to control the rate at which myofiber orientation changes in the direction perpendicular to the heart wall. This allows us to estimate material properties related to both the passive and active parameters in our model. We have obtained preliminary results on the 4 canine datasets of the 2014 mechanics challenge using the FEBio software suite. In ongoing work we are validating and improving the model using rat heart (ex-vivo DTI and in-vivo tagging) MRI datasets, from which we have estimated strain tensors.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Arthur Mensch
    • 1
  • Emmanuel Piuze
    • 1
  • Lucas Lehnert
    • 1
  • Adrianus J. Bakermans
    • 2
  • Jon Sporring
    • 3
  • Gustav J. Strijkers
    • 2
  • Kaleem Siddiqi
    • 1
  1. 1.School of Computer Science and Centre for Intelligent MachinesMcGill UniversityMontrealCanada
  2. 2.Academic Medical Center, University of Amsterdam Medical Center and Department of Biomedical EngineeringEindhoven University of TechnologyEindhovenNetherlands
  3. 3.Department of Computer ScienceUniversity of CopenhagenCopenhagenDenmark

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