Frequency-Division Multiplexing for Electrical Impedance Tomography in Biomedical Applications

Electrical impedance tomography (EIT) produces an image of the electrical impedance distribution of tissues in the body, using electrodes that are placed on the periphery of the imaged area. These electrodes inject currents and measure voltages and from these data, the impedance can be computed. Traditional EIT systems usually inject current patterns in a serial manner which means that the impedance is computed from data collected at slightly different times. It is usually also a time-consuming process. In this paper, we propose a method for collecting data concurrently from all of the current patterns in biomedical applications of EIT. This is achieved by injecting current through all of the current injecting electrodes simultaneously, and measuring all of the resulting voltages at once. The signals from various current injecting electrodes are separated by injecting different frequencies through each electrode. This is called frequency-division multiplexing (FDM). At the voltage measurement electrodes, the voltage related to each current injecting electrode is isolated by using Fourier decomposition. In biomedical applications, using different frequencies has important implications due to dispersions as the tissue's electrical properties change with frequency. Another significant issue arises when we are recording data in a dynamic environment where the properties change very fast. This method allows simultaneous measurements of all the current patterns, which may be important in applications where the tissue changes occur in the same time scale as the measurement. We discuss the FDM EIT method from the biomedical point of view and show results obtained with a simple experimental system.

[1]  R Bayford,et al.  Design and calibration of a compact multi-frequency EIT system for acute stroke imaging. , 2006, Physiological measurement.

[2]  F. Barnes,et al.  Handbook of biological effects of electromagnetic fields , 2007 .

[3]  P Bertemes-Filho,et al.  A comparison of modified Howland circuits as current generators with current mirror type circuits. , 2000, Physiological measurement.

[4]  Raul Gonzalez Lima,et al.  Electrical impedance tomography using the extended Kalman filter , 2004, IEEE Transactions on Biomedical Engineering.

[5]  David Isaacson,et al.  Dynamic electrical impedance imaging with the interacting multiple model scheme , 2005, Physiological measurement.

[6]  Sverre Grimnes,et al.  Bioimpedance and Bioelectricity Basics , 2000 .

[7]  S Abboud,et al.  Evaluation of the impedance technique for cryosurgery in a theoretical model of the head. , 1999, Cryobiology.

[8]  R H Bayford,et al.  Bioimpedance tomography (electrical impedance tomography). , 2006, Annual review of biomedical engineering.

[9]  H. Schwan,et al.  THE CONDUCTIVITY OF LIVING TISSUES , 1957, Annals of the New York Academy of Sciences.

[10]  U Faust,et al.  Fast EIT data acquisition system with active electrodes and its application to cardiac imaging. , 1996, Physiological measurement.

[11]  L M Heikkinen,et al.  A MATLAB package for the EIDORS project to reconstruct two-dimensional EIT images. , 2001, Physiological measurement.

[12]  J. Newell,et al.  Current topics in impedance imaging. , 1987, Clinical physics and physiological measurement : an official journal of the Hospital Physicists' Association, Deutsche Gesellschaft fur Medizinische Physik and the European Federation of Organisations for Medical Physics.

[13]  C Gabriel,et al.  The dielectric properties of biological tissues: I. Literature survey. , 1996, Physics in medicine and biology.

[14]  J P Kaipio,et al.  Assessment of errors in static electrical impedance tomography with adjacent and trigonometric current patterns. , 1997, Physiological measurement.

[15]  Trevor A. York,et al.  Status of electrical tomography in industrial applications , 2001, SPIE Optics East.

[16]  Gavin Teague Mass flow measurement of multi-phase mixtures by means of tomographic techniques , 2002 .

[17]  Francis A. Duck,et al.  Physical properties of tissue : a comprehensive reference book , 1990 .

[18]  Boris Rubinsky,et al.  A feasibility study for electrical impedance tomography as a means to monitor tissue electroporation for molecular medicine , 2002, IEEE Transactions on Biomedical Engineering.

[19]  R H Smallwood,et al.  Mk3.5: a modular, multi-frequency successor to the Mk3a EIS/EIT system. , 2001, Physiological measurement.

[20]  Wei Wang,et al.  The number of electrodes and basis functions in EIT image reconstruction , 2002, Physiological measurement.

[21]  F J Lidgey,et al.  Development of a real-time adaptive current tomograph. , 1994, Physiological measurement.

[22]  J Kaipio,et al.  Generalized optimal current patterns and electrical safety in EIT. , 2001, Physiological measurement.

[23]  Boris Rubinsky,et al.  Electrical impedance tomography for imaging tissue electroporation , 2004, IEEE Transactions on Biomedical Engineering.

[24]  H Griffiths,et al.  Systematic errors in multi-frequency EIT. , 2000, Physiological measurement.

[25]  K. Boone,et al.  Imaging with electricity: report of the European Concerted Action on Impedance Tomography. , 1997, Journal of medical engineering & technology.

[26]  William R B Lionheart,et al.  A Matlab toolkit for three-dimensional electrical impedance tomography: a contribution to the Electrical Impedance and Diffuse Optical Reconstruction Software project , 2002 .

[27]  Susan Rae Smith-Baish,et al.  The dielectric properties of tissues , 1991 .

[28]  P.A. Karjalainen,et al.  A Kalman filter approach to track fast impedance changes in electrical impedance tomography , 1998, IEEE Transactions on Biomedical Engineering.