A method of the forward problem for magneto-acousto-electrical tomography
Abstract
Magneto-Acousto-Electrical Tomography (MAET) is a novel hybrid modality that can provide a high spatial resolution in determining the electrical conductivity of biological tissue. The present paper primarily analyzes the existing basic formulations with the MAET, derives the propagation equations of the sound wave when the mass density of the biological tissues are variable, and then solves the respective current density and potential difference in an inhomogeneous and homogeneous density medium based on the sound speeds obtained. Finally, numerical simulations are performed. As is shown, sound waves affect magneto-acousto-electrical tomography while varying the biological tissue mass density.
References
[1] | Edler I, and Lindstrom K, The history of echocardiography, Ultrasound Med Biol. 30: ((2004) ), 1565-1644. |
[2] | Stephens D., , Mahmoud A., , Ding X., , Lucero S., , Dutta D., , Yu F.T.H., , Chen X., and Kim K., Flexible integration of high-imaging-resolution and high-power arrays for ultrasound-induced thermal strain imaging, IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 60: ((2013) ), 2645-2656. |
[3] | Ammari H, , Bonnetier E, , Capdeboscq Y, , Tanter M, and Fink M, Electrical impedance tomography by elastic deformation, SIAM J. Appl. Math 68: ((2008) ), 1557-73. |
[4] | Harikumar R., and Prabu R., Electrical impedance tomography and its medical applications: a review, International Journal of Soft Computing and Engineering 3: ((2013) ), 193-198. |
[5] | Jeong Woo Chul, , Sajib Saurav Z.K., , Kim Hyung Joong, and Kwon Oh In, Focused current density imaging using internal electrode in magnetic resonance electrical impedance tomography, IEEE Trans on Biomedical engineering 61: ((2014) ), 1938-1946. |
[6] | Mariappan Leo, , Li Xu, and He Bin, B-Scan based acoustic source reconstruction for magnetoacoustic tomography with magnetic induction, IEEE Trans on Biomedical engineering 58: ((2011) ), 731-720. |
[7] | Wen Han, , Shah Jatin, and Balaban Robert S., Hall Effect Imaging, IEEE Trans on Biomedical engineering 45: ((1998) ), 119-124. |
[8] | Kunyansky Leonid, A mathematical model and inversion procedure for magneto-acousto-electric tomography, IOP Publishing ((2012) ), Online at stacks.iop.org/IP/28/035002. |
[9] | Roth Bradley J., and Schalte Kevin, Ultrasonically induced Lorentz force tomography, Med Biol Eng Comput 47: ((2009) ), 573-577. |
[10] | Tseng N, and Roth BJ, The potential induced in anisotropic tissue by the ultrasonically induced Lorentz force, Med Biol Eng Comput 46: ((2008) ), 195-197. |
[11] | Schwan Herman P., Electrical and Acoustic Properties of Biological Materials and Biomedical Applications, IEEE Trans on Biomedical Engineering 31: ((1984) ), 872-877. |