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Validation of a finite element solution for electrical impedance tomography in an anisotropic medium

  • Conference paper
13th International Conference on Electrical Bioimpedance and the 8th Conference on Electrical Impedance Tomography

Part of the book series: IFMBE Proceedings ((IFMBE,volume 17))

Abstract

Electrical Impedance Tomography has the potential to become a portable non-invasive medical imaging technique. Until now, implementations have neglected anisotropyeven though human tissue like bone, muscle, and braine white matter are markedly anisotropic. We present a numerical solution the finite element method that has been modified for moddeling anisotropic conductive media. It was validated in an anisotropic domain against an analytical solution in an isotropic domain was diffeomorphically transformed into an anisotropic one. Convergence of the finite element to the analytical solution was verified by showing that the finite element error norm decreased linearly related to the finite size, as the mesh density increased, for the simplified case of Laplace`s equation in a cubical domain with a Dirichlet boundary condition.

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Author information

Authors and Affiliations

  1. Department of Medical Physics, University College London, London, UK

    Juan-Felipe P.J. Abascal

  2. Department of Computer Science, University College London, London, UK

    Simon R. Arridge

  3. School of Mathematics, University of Manchester,, Manchester, UK

    William R.B. Lionheart

  4. School of Health and Social Sciences,, Middlesex University, London, UK

    Richard H. Bayford

  5. Department of Clinical Neurophysiology,, University College London, London, UK

    David S. Holder

Authors
  1. Juan-Felipe P.J. Abascal
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  2. Simon R. Arridge
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  3. William R.B. Lionheart
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  4. Richard H. Bayford
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  5. David S. Holder
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Editor information

Editors and Affiliations

  1. Institute of Medical Engineering, Graz University of Technology, Kronesgasse 5, 8010, Graz, Austria

    Hermann Scharfetter  & Robert Merwa  & 

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© 2007 Springer-Verlag Berlin Heidelberg

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Abascal, JF., Arridge, S., Lionheart, W., Bayford, R., Holder, D. (2007). Validation of a finite element solution for electrical impedance tomography in an anisotropic medium. In: Scharfetter, H., Merwa, R. (eds) 13th International Conference on Electrical Bioimpedance and the 8th Conference on Electrical Impedance Tomography. IFMBE Proceedings, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73841-1_97

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  • DOI: https://doi.org/10.1007/978-3-540-73841-1_97

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73840-4

  • Online ISBN: 978-3-540-73841-1

  • eBook Packages: EngineeringEngineering (R0)

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