Multi-frequency electrical impedance tomography and magnetic resonance electrical impedance tomography

Jin Keun Seo, Eung Je Woo

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Citations (Scopus)

Abstract

Medical imaging modalities such as computerized tomography (CT) using X-ray and magnetic resonance imaging (MRI) have been well established providing three-dimensional high-resolution images of anatomical structures inside the human body and computer-based mathematical methods have played an essential role for their image reconstructions. However, since each imaging modality has its own limitations, there have been much research efforts to expand our ability to see through the human body in different ways. Lately, biomedical imaging research has been dealing with new imaging techniques to provide knowledge of physiologic functions and pathological conditions in addition to structural information. Electrical impedance tomography (EIT) is one of such attempts for functional imaging and monitoring of physiological events. EIT is based on numerous experimental findings that different biological tissues inside the human body have different electrical properties of conductivity and permittivity. Viewing the human body as a mixture of distributed resistors and capacitors, we can evaluate its internal electrical properties by injecting a sinusoidal current between a pair of surface electrodes and measuring voltage drops at different positions on the surface. EIT is based on this bioimpedance measurement technique using multiple surface electrodes as many as 8 to 256. See Figs. 1.1a and 1.2. In EIT, we inject linearly independent patterns of sinusoidal currents through all or chosen pairs of electrodes and measure induced boundary voltages on all or selected electrodes. The measured boundary current-voltage data set is used to reconstruct cross-sectional images of the internal conductivity and/or permittivity distribution. The basic idea of the impedance imaging was introduced by Henderson and Webster in 1978 [13], and the first clinical application of a medical EIT system was described by Barber and Brown [7]. Since then, EIT has received considerable attention and several review papers described numerous aspects of the EIT technique [8, 10, 14, 36, 49, 62]. To support the theoretical basis of the EIT system, mathematical theories such as uniqueness and stability were developed [2, 6, 16, 19, 25, 29, 38, 39, 48, 52, 57-59, 61] since Caldeŕon's pioneering contribution in 1980 [9].

Original languageEnglish
Title of host publicationMathematical Modeling in Biomedical Imaging I
Subtitle of host publicationElectrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging
PublisherSpringer Verlag
Pages1-71
Number of pages71
ISBN (Print)9783642034435
DOIs
Publication statusPublished - 2009 Jan 1

Publication series

NameLecture Notes in Mathematics
Volume1983
ISSN (Print)0075-8434

Fingerprint

Electrical Impedance Tomography
Magnetic Resonance
Electrode
Imaging
Voltage
Electrical Properties
Permittivity
Modality
Conductivity
Biomedical Imaging
Computerized Tomography
Internal
Biological Tissue
Medical Imaging
Magnetic Resonance Imaging
Measurement Techniques
Image Reconstruction
Capacitor
Impedance
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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Seo, J. K., & Woo, E. J. (2009). Multi-frequency electrical impedance tomography and magnetic resonance electrical impedance tomography. In Mathematical Modeling in Biomedical Imaging I: Electrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging (pp. 1-71). (Lecture Notes in Mathematics; Vol. 1983). Springer Verlag. https://doi.org/10.1007/978-3-642-03444-2_1
Seo, Jin Keun ; Woo, Eung Je. / Multi-frequency electrical impedance tomography and magnetic resonance electrical impedance tomography. Mathematical Modeling in Biomedical Imaging I: Electrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging. Springer Verlag, 2009. pp. 1-71 (Lecture Notes in Mathematics).
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Seo, JK & Woo, EJ 2009, Multi-frequency electrical impedance tomography and magnetic resonance electrical impedance tomography. in Mathematical Modeling in Biomedical Imaging I: Electrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging. Lecture Notes in Mathematics, vol. 1983, Springer Verlag, pp. 1-71. https://doi.org/10.1007/978-3-642-03444-2_1

Multi-frequency electrical impedance tomography and magnetic resonance electrical impedance tomography. / Seo, Jin Keun; Woo, Eung Je.

Mathematical Modeling in Biomedical Imaging I: Electrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging. Springer Verlag, 2009. p. 1-71 (Lecture Notes in Mathematics; Vol. 1983).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Seo JK, Woo EJ. Multi-frequency electrical impedance tomography and magnetic resonance electrical impedance tomography. In Mathematical Modeling in Biomedical Imaging I: Electrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging. Springer Verlag. 2009. p. 1-71. (Lecture Notes in Mathematics). https://doi.org/10.1007/978-3-642-03444-2_1