Investigation on magnetoacoustic signal generation with magnetic induction and its application to electrical conductivity reconstruction

A theoretical study on the magnetoacoustic signal generation with magnetic induction and its applications to electrical conductivity reconstruction is conducted. An object with a concentric cylindrical geometry is located in a static magnetic field and a pulsed magnetic field. Driven by Lorentz force generated by the static magnetic field, the magnetically induced eddy current produces acoustic vibration and the propagated sound wave is received by a transducer around the object to reconstruct the corresponding electrical conductivity distribution of the object. A theory on the magnetoacoustic waveform generation for a circular symmetric model is provided as a forward problem. The explicit formulae and quantitative algorithm for the electrical conductivity reconstruction are then presented as an inverse problem. Computer simulations were conducted to test the proposed theory and assess the performance of the inverse algorithms for a multi-layer cylindrical model. The present simulation results confirm the validity of the proposed theory and suggest the feasibility of reconstructing electrical conductivity distribution based on the proposed theory on the magnetoacoustic signal generation with magnetic induction.

[1]  B. He.  High-resolution Functional Source and Impedance Imaging , 2005, 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference.

[2]  M. H. Cho,et al.  Electrical conductivity imaging by magnetic resonance electrical impedance tomography (MREIT) , 2003, Magnetic resonance in medicine.

[3]  D. Isaacson,et al.  A reconstruction algorithm for electrical impedance tomography data collected on rectangular electrode arrays , 1999, IEEE Transactions on Biomedical Engineering.

[4]  Peter Basser,et al.  A theoretical model for magneto-acoustic imaging of bioelectric currents , 1994, IEEE Transactions on Biomedical Engineering.

[5]  L From,et al.  A 40-100 MHz B-scan ultrasound backscatter microscope for skin imaging. , 1995, Ultrasound in medicine & biology.

[6]  M. Oelze,et al.  Examination of cancer in mouse models using high-frequency quantitative ultrasound. , 2006, Ultrasound in medicine & biology.

[7]  T A Whittingham,et al.  The use of measured acoustic speed distributions in reflection ultrasound CT , 1992 .

[8]  Lihong V. Wang,et al.  Time reversal and its application to tomography with diffracting sources. , 2004, Physical review letters.

[9]  Kevin Paulson,et al.  Optimal experiments in electrical impedance tomography , 1993, IEEE Trans. Medical Imaging.

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

[11]  D C Barber,et al.  Theoretical limits to sensitivity and resolution 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.

[12]  Bin He,et al.  Modeling and imaging of bioelectrical activity : principles and applications , 2004 .

[13]  D. C. Barber,et al.  Three-dimensional electrical impedance tomography , 1996, Nature.

[14]  M.R. Islam,et al.  A magneto-acoustic method for the noninvasive measurement of bioelectric currents , 1988, IEEE Transactions on Biomedical Engineering.

[15]  Ohin Kwon,et al.  Magnetic resonance electrical impedance tomography (MREIT): simulation study of J-substitution algorithm , 2002, IEEE Transactions on Biomedical Engineering.

[16]  M D Harpen.  Eddy current distributions in cylindrical samples: effect on equivalent sample resistance. , 1989, Physics in medicine and biology.

[17]  Bin He,et al.  Estimation of electrical conductivity distribution within the human head from magnetic flux density measurement. , 2005, Physics in medicine and biology.

[18]  Bin He,et al.  Magnetoacoustic tomography with magnetic induction for imaging electrical impedance of biological tissue , 2006 .

[19]  Bin He,et al.  Magnetoacoustic tomography with magnetic induction (MAT-MI) , 2005, Physics in medicine and biology.

[20]  T Loupas,et al.  Deconvolution in medical ultrasonics: practical considerations. , 1989, Physics in medicine and biology.

[21]  A Korjenevsky,et al.  A 3D electrical impedance tomography (EIT) system for breast cancer detection. , 2001, Physiological measurement.

[22]  Y. Z. Ider,et al.  Experimental results for 2D magnetic resonance electrical impedance tomography (MR-EIT) using magnetic flux density in one direction. , 2003, Physics in medicine and biology.

[23]  T. Taxt,et al.  Noise robust one-dimensional blind deconvolution of medical ultrasound images , 1999, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[24]  B M Eyüboglu,et al.  Distinguishability analysis of an induced current EIT system using discrete coils. , 2000, Physics in medicine and biology.

[25]  Nico de Jong,et al.  Contrast harmonic imaging. , 2002, Ultrasonics.

[26]  Mustafa Kuzuoglu,et al.  Electrical impedance tomography using induced currents , 1994, IEEE Trans. Medical Imaging.

[27]  Bin He,et al.  A new magnetic resonance electrical impedance tomography (MREIT) algorithm: the RSM-MREIT algorithm with applications to estimation of human head conductivity , 2006, Physics in medicine and biology.

[28]  X. Gong,et al.  Phase-coded multi-pulse technique for ultrasonic high-order harmonic imaging of biological tissues in vitro , 2007, Physics in medicine and biology.

[29]  R H Bayford,et al.  Validation of a 3D reconstruction algorithm for EIT of human brain function in a realistic head-shaped tank. , 2001, Physiological measurement.

[30]  H. Griffiths.  Magnetic induction tomography , 2001 .

[31]  Manuchehr Soleimani,et al.  Absolute Conductivity Reconstruction in Magnetic Induction Tomography Using a Nonlinear Method , 2006, IEEE Transactions on Medical Imaging.

[32]  Xu Li,et al.  Imaging Electrical Impedance From Acoustic Measurements by Means of Magnetoacoustic Tomography With Magnetic Induction (MAT-MI) , 2007, IEEE Transactions on Biomedical Engineering.

[33]  J. Shah,et al.  Hall effect imaging , 1998, IEEE Transactions on Biomedical Engineering.

[34]  Joaquim Ferreira,et al.  An overview of electromagnetic inductance tomography: Description of three different systems , 1996 .

[35]  H. Wen,et al.  Volumetric Hall Effect Tomography — A Feasibility Study , 1999, Ultrasonic imaging.

[36]  F. Lizzi.  Ultrasound Imaging , 1991, Proceedings Technology Requirements for Biomedical Imaging.

[37]  M. Joy,et al.  In vivo detection of applied electric currents by magnetic resonance imaging. , 1989, Magnetic resonance imaging.