Choice of the study object for mathematical model in Electrical Impedance Tomography

Authors

  • M. S. Gorb National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev
  • E. V. Guseva National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev http://orcid.org/0000-0003-1968-7036

DOI:

https://doi.org/10.20535/RADAP.2013.52.120-128

Keywords:

electrical impedance tomography, electrostatic model, quasi-static model, full electrodynamics model

Abstract

Introduction. A brief review of scientific publications relating to questions of the object for study modeling that implements the EIT methods is given. Formulation of the problem. EIT features associated with three-dimensionality of processes taking place in the study objects during the measurement and the complexity of the reconstruction process are shown. A comparative analysis of the quasi-static and full-wave model of the object for study is presented. Conclusion. Based on three-dimensional processes that take place in the study objects using EIT has shown that adequate models of study objects should be based on quasi-static or full-wave electrodynamics approaches.

Author Biographies

M. S. Gorb, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Postgraduate Student

E. V. Guseva, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Cand. Of Sci (Technics), Associate Prof.

References

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References:

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Part 1 of Electrical Impedance Tomography: Methods, History and Applications / Ed. Holder D.S. Bristol: Institute of Physics Publilishing, 2004, 64 p. Bibl.: pp. 54–64 (154 title). – ISBN 0750309520

Cheney M., Isaacson D., Newell J. C. Electrical impedance tomography. SIAM.Rev. – 1999, Vol.41, No.1, pp. 85–101.

Deng Y., Xin L. Electromagnetic imaging methods for nondestructive evaluation applications. Sensors, 2011, No.11, pp.11774–11808.

Bayford R. H. Bioimpedance tomography (Electrical impedance tomography). Annu.Rev.Biomed.Eng, 2006, pp. 63–91.

Nejatali A. Electrical impedance tomography with neural networks and fuzzy sets. PhD thesis. Dep. of Electrical and Computer Eng. University of Manitoba. Manitoba, 1997, 170 p.

Brownell A. B., Isaacson D., Saulnier G. J., Newell J. C. Full Maxwell Equations as a forward model for EIT in the mammography geometry. Bioengineering Conference (NEBEC), IEEE 37th Annual Northeast, Troy, NY – 1-3 April 2011 2011, pp. 21–22

Soni N. K., Paulsen K. D., Dehghani H., Hartov A. Finite element implementation of Maxwell's equations for image reconstruction in electrical impedance tomography. IEEE Trans. on Medical Imaging, 2006, V.25, No.1,pp. 55–61.

Otto G. P., Weng C. C. Time-harmonic impedance tomography using the T-matrix method. IEEE Trans. on Medical Imaging, 1994, V.13, No.3, pp. 508–516.

Doerstling B. H. A 3-D Reconstruction algorithm for linearized inverse boundary value problem for Maxwell's equations. PhD thesis. Rensselaer Polytechnic Institute, Troy NY, USA, 1995. 116 p.

Lionheart W.R.B. EIT reconstruction algorithms: pitfalls, challenges and recent developments. Physiol.Meas, 2004, No.25, pp. 125–142.

Barber D. C., Smallwood R. H., Brown B. H. Three-dimensional electrical impedance tomography. Nature, 1996, V. 380, pp. 509–512.

Bahrani N. 2½D Finite Element Method for Electrical Impedance Tomography Considering the Complete Electrode Model. PhD thesis. – Department of Systems and Computer Engineering Carleton University, Ottawa, Ontario, Canada, 2012. 169 p.

Calderón A. P. On an inverse boundary value problem. Computational & Applied Mathematics, 2006, V.25, N.2-3, pp.133–138. (A reprint of the original work by A. P. Calderón at the ― Seminar on Numerical Analysis and its Application to Continuum Physics‖ in the ATAS of SBM (Rio de Janeiro), 1980, pp. 65–73).

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Steinmetz T., Kurz S., Clemens M. Domains of validity of quasistatic and quasistationary field approximations. Proc.of XV International Symposium on Theoretical Electrical Engineering. 22-24 June 2009, Lubeck, Germany, 2009, pp. 271–275.

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Published

2013-05-04

How to Cite

Горб, М. С. and Гусєва, О. В. (2013) “Choice of the study object for mathematical model in Electrical Impedance Tomography”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(52), pp. 120-128. doi: 10.20535/RADAP.2013.52.120-128.

Issue

No. 52 (2013)

Section

Radioelectronics Medical Technologies

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