Conductivity reconstructions using real data from a new planar electrical impedance tomography device

References

• Borcea, L, 2002. Electrical impedance tomography, Inverse Probl. 18 (2002), pp. R99–R136.
   Web of Science ®Google Scholar
• Laver-Moskovitz, O, 1996. T-Scan: A New Imaging Method for Breast Cancer Detection without X-ray. Chicago, IL: RSNA Presentation; 1996.
   Google Scholar
• Perlet, C, Kessler, M, Lenington, S, Sittek, H, and Reiser, M, 2000. Electrical impedance measurement of the breast: effect of hormonal changes associated with the menstrual cycle, Eur. Radiol. 10 (2000), pp. 1550–1554.
   PubMed Web of Science ®Google Scholar
• Assenheimer, M, Laver-Moskovitz, O, Malonek, D, Manor, D, Nahliel, U, Nitzan, R, and Saad, A, 2001. The T-scan technology: electrical impedance as a diagnostic tool for breast cancer detection, Physiol. Meas. 22 (2001), pp. 1–8.
   PubMed Web of Science ®Google Scholar
• Cherepenin, V, Karpov, A, Korjenevsky, A, Kornienko, V, Mazaletskaya, A, Mazourov, D, and Meister, D, 2001. A 3D electrical impedance tomography (EIT) system for breast cancer detection, Physiol. Meas. 22 (9) (2001), pp. 9–18.
   PubMed Web of Science ®Google Scholar
• Cherepenin, VA, Karpov, AY, Korjenevsky, AV, Kornienko, VN, Kultiasov, YS, Ochapkin, MB, Tochanova, OV, and Meister, JD, 2002. Three-dimensional EIT imaging of breast tissues: system design and clinical testing, IEEE Trans. Med. Imaging 21 (2002), pp. 662–667.
   PubMed Web of Science ®Google Scholar
• Kerner, TE, Paulsen, KD, Hartov, A, Soho, SK, and Poplack, SP, 2002. Electrical impedance spectroscopy of the breast: clinical imaging results in 26 subjects, IEEE Trans. Med. Imaging 21 (2002), pp. 638–645.
   PubMed Web of Science ®Google Scholar
• Kim, BS, Isaacson, D, Xia, H, Kao, T, Newell, J, and Saulnier, G, 2007. A method for analyzing electrical impedance spectroscopy data from breast cancer patients, Physiol. Meas. 28 (2007), pp. S237–S246.
   PubMed Web of Science ®Google Scholar
• Ammari, H, Kwon, O, Seo, JK, and Woo, EJ, 2004. T-scan electrical impedance imaging system for anomaly detection, SIAM J. Appl. Math. 65 (2004), pp. 252–266.
   Web of Science ®Google Scholar
• Poplack, SP, Tosteson, TD, Wells, WA, Pogue, BW, Meaney, PM, Hartov, A, Kogel, CA, Soho, SK, Gibson, JJ, and Paulsen, KD, 2007. Electromagnetic breast imaging: results of a pilot study in women with abnormal mammograms, Radiology 243 (2007), pp. 350–359.
   PubMed Web of Science ®Google Scholar
• Trokhanova, OV, Okhapkin, MB, and Korjenevsky, AV, 2008. Dual-frequency electrical impedance mammography for the diagnosis of non-malignant breast disease, Physiol. Meas. 29 (2008), pp. S331–S344.
   PubMed Web of Science ®Google Scholar
• Lee, CH, Dershaw, DD, Kopans, D, Evans, P, Monsees, B, Monticciolo, D, Brenner, RJ, Bassett, L, Berg, W, Feig, S, Hendrick, E, Mendelson, E, D’Orsi, C, Sickles, E, and Warren Burhenne, L, 2010. Breast cancer screening with imaging: recommendations from the society of breast imaging and the ACR on the use of mammography, breast MRI, breast ultrasound, and other technologies for the detection of clinically occult breast cancer, J. Am. Coll. Radiol. 7 (2010), pp. 18–27.
   PubMed Web of Science ®Google Scholar
• Rigaud, B, Morucci, JP, and Chauveau, N, 1996. Bioelectrical impedance techniques in medicine. Part I: bioimpedance measurement. Second section: impedance spectrometry, Crit. Rev. Biomed. Eng. 24 (1996), pp. 257–351.
   PubMed Web of Science ®Google Scholar
• Jossinet, J, 1996. Variability of impeditivity in normal and pathological breast tissue, Med. Biol. Eng. Comput. 34 (1996), pp. 346–350.
   PubMed Web of Science ®Google Scholar
• Jossinet, J, 1998. The impeditivity of freshly excised human breast tissue Physiol, Meas. 19 (1998), pp. 61–75.
   Web of Science ®Google Scholar
• Sabatier, PC, and Sebu, C, 2007. On the resolving power of electrical impedance tomography, Inverse Probl. 23 (2007), pp. 1895–1913.
   Web of Science ®Google Scholar
• Mueller, JL, Isaacson, D, and Newell, JC, 1999. A reconstruction algorithm for electrical impedance tomography data collected on rectangular electrode arrays, IEEE Tans. Biomed. Eng. 46 (1999), pp. 1379–1386.
   PubMed Web of Science ®Google Scholar
• M. Azzouz, M. Hanke, C. Oesterlein, and K. Schilcher, The factorization method for electrical impedance tomography data from a new planar device, Int. J. Biomed. Imaging 2007 (2007), 7 pages, Article ID 83016..
   Google Scholar
• C. Hhnlein, K. Schilcher, C. Sebu, and H. Spiesberger, Conductivity imaging with interior potential measurements}, Inv. Probl. Sc. Eng. 19 (2011), pp. 729–750..
   Google Scholar
• Ide, T, Isozaki, H, Nakata, S, and Siltanen, S, 2010. Local detection of three dimensional inclusions in electrical impedance tomography, Inverse Probl. 26 (2010), pp. 035001–035017.
   Web of Science ®Google Scholar
• K. Karhunen, A. Seppnen, A. Lehikoinen, J. Blunt, J.P. Kaipio, and P.J.M. Monteiro, Electrical resistance tomography for assessment of cracks in concrete, ACI Mat. J.l 107 (2010), pp. 523–531..
   Google Scholar
• Gisser, DG, Isaacson, D, and Newell, JC, 1990. Electric current computed tomography and eigenvalues, SIAM J. Appl. Math. 50 (1990), pp. 1623–1634.
   Web of Science ®Google Scholar
• K. Astala and L. Pivrinta, Calderon’s inverse conductivity problem in plane, Ann. Math. 163 (2006), pp. 265–299..
   Google Scholar
• B.T. Johansson, and C. Sebu, A uniqueness result for the inverse conductivity problem, Advances in Boundary Integral Methods, Proceedings of the 7th UK Conference on Boundary Integral Methods, H. Power, A. La Rocca, and S.J. Baxter, eds., University of Nottingham, Nottingham, 2009, pp. 115–124..
   Google Scholar
• Cheng, KS, Isaacson, D, Newell, JC, and Gisser, DG, 1989. Electrode models for electric current computed tomography, IEEE Trans. Biomed. Eng. 36 (1989), pp. 918–924.
   PubMed Web of Science ®Google Scholar
• Somersalo, E, Cheney, M, and Isaacson, D, 1992. Existence and uniqueness for electrode models for electric current computed tomography, SIAM J. Appl. Math. 52 (1992), pp. 1023–1040.
   Web of Science ®Google Scholar
• J. Kervokian, Partial Differential equations. Analytical solution Techniques, Texts in Applied Mathematics 25, 2nd ed., Springer Verlag, New York, 2000..
   Google Scholar
• Engels, H, 1980. Numerical Quadratures and Cubatures. London: Academic Press; 1980.
   Google Scholar
• Hansen, PC, 1994. Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems, Numer. Algor. 6 (1994), pp. 1–35.
   Google Scholar
• D. Isaacson, Distinguishability of conductivities by electric current computed tomography, IEEE Tans. Med. Imaging MI-5 (1986), pp. 91–95..
   Google Scholar
• Curtis, EB, and Morrow, JA, 1990. Determining the resistors in a network, SIAM J. Appl. Math. 50 (1990), pp. 918–930.
   Web of Science ®Google Scholar
• Curtis, EB, and Morrow, JA, 1991. The Dirichlet to Neumann map for a resistor network, SIAM J. Appl. Math. 51 (1991), pp. 1011–1029.
   Web of Science ®Google Scholar
• Curtis, EB, and Morrow, JA, 2000. Inverse Problems for Electrical Networks, Series on Applied Mathematics 13. Singapore: World Scientific; 2000.
   Google Scholar
• Borcea, L, Druskin, V, and Guevara Vasquez, F, 2008. Electrical impedance tomography with resistor networks, Inverse Probl. 24 (2008), pp. 035013–035044.
   Web of Science ®Google Scholar
• Borcea, L, Mamonov, AV, Druskin, V, and Guevara Vasquez, F, 2010. Pyramidal resistor networks for electrical impedance tomography with partial boundary measurements, Inverse Probl. 26 (2010), pp. 105009–105036.
   Web of Science ®Google Scholar