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Determining Anisotropic Myocardial Stiffness from Magnetic Resonance Elastography: A Simulation Study

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Abstract

Although magnetic resonance elastography (MRE) has the potential to non-invasively measure myocardial stiffness, myocardium is known to be anisotropic and it is not clear whether all material parameters can be uniquely determined from MRE data. In this study, we examined the determinability of anisotropic stiffness parameters using finite element analysis (FEA) simulations of harmonic steady state wave behavior. Two models were examined: (i) a cylindrical and (ii) a canine left ventricular geometry with realistic fiber architecture. A parameter sweep was carried out, and the objective function, which summed the error between reference displacements and displacements simulated from MRE boundary data and material parameters, was plotted and determinability assessed from the Hessian. Then, given prescribed boundary displacements from the ground truth simulation with added Gaussian noise, an anisotropic material parameter optimization was run 30 times with different noise in order to investigate the effect of noise on determination of material parameters. Results show that transversely isotropic material parameters can be robustly determined using this method.

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Acknowledgements

This research was supported by an award from the National Heart Foundation of New Zealand and by the NeSI high performance computing facilities.

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Authors and Affiliations

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

    Renee Miller, Brett R. Cowan & Alistair A. Young

  2. Ohio Supercomputing Center, Columbus, OH, USA

    Haodan Jiang

  3. Department of Radiology, Ohio State University, Columbus, OH, USA

    Ria Mazumder & Arunark Kolipaka

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

    Martyn P. Nash & Alistair A. Young

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

    Martyn P. Nash

Authors
  1. Renee Miller

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  2. Haodan Jiang

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  3. Ria Mazumder

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  4. Brett R. Cowan

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  5. Martyn P. Nash

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  6. Arunark Kolipaka

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  7. Alistair A. Young

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Corresponding author

Correspondence toRenee Miller.

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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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© 2015 Springer International Publishing Switzerland

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Miller, R.et al. (2015). Determining Anisotropic Myocardial Stiffness from Magnetic Resonance Elastography: A Simulation Study. 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_40

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Price includes VAT (Japan)
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