Fast calculation of the sensitivity matrix in magnetic induction tomography by tetrahedral edge finite elements and the reciprocity theorem

K. Hollaus, C. Magele, R. Merwa, H. Scharfetter

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)

Abstract

Magnetic induction tomography of biological tissue is used to reconstruct the changes in the complex conductivity distribution by measuring the perturbation of an alternating primary magnetic field. To facilitate the sensitivity analysis and the solution of the inverse problem a fast calculation of the sensitivity matrix, i.e. the Jacobian matrix, which maps the changes of the conductivity distribution onto the changes of the voltage induced in a receiver coil, is needed. The use of finite differences to determine the entries of the sensitivity matrix does not represent a feasible solution because of the high computational costs of the basic eddy current problem. Therefore, the reciprocity theorem was exploited. The basic eddy current problem was simulated by the finite element method using symmetric tetrahedral edge elements of second order. To test the method various simulations were carried out and discussed.

Original languageEnglish
Pages (from-to)159-168
Number of pages10
JournalPhysiological Measurement
Volume25
Issue number1
DOIs
Publication statusPublished - Feb 2004

Keywords

  • Eddy current problem
  • EIT
  • Magnetic induction tomography
  • Sensitivity matrix
  • Tetrahedral edge elements of second order
  • Magnetics/instrumentation
  • Electromagnetic Fields
  • Humans
  • Brain Diseases/diagnosis
  • Electric Impedance
  • Models, Biological
  • Sensitivity and Specificity
  • Tomography/methods

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