An analytic solution to the homogeneous EIT problem on the 2D disk and its application to estimation of electrode contact impedances

Physiological Measurement

Volumn 32, Issue 9, 2011, Pages 1453-1471

  Demidenko, Eugene ^a  

^a DARTMOUTH MEDICAL SCHOOL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC IMPEDANCE TOMOGRAPHY; ELECTRODES; TESTING;

ANALYTIC SOLUTION; COMPLETE ELECTRODE MODEL; CONTACT IMPEDANCE; ELECTRICAL IMPE DANCE TOMOGRAPHY (EIT); ELECTRODE CONTACTS; ELECTRODE MODELS; INFINITE SYSTEM OF LINEAR EQUATIONS; ITS APPLICATIONS; POTENTIAL DISTRIBUTIONS; TWO ELECTRODES;

INTEGRAL EQUATIONS;

EID: 80052103414     PISSN: 09673334     EISSN: 13616579     Source Type: Journal    
DOI: 10.1088/0967-3334/32/9/008     Document Type: Article

References (28)

1. Bodenstein M, David M and Markstaller K 2009 Principles of electrical impedance tomography and its clinical application Crit. Care Med. 37 713-24
2. Borsic A, Hartov A, Paulsen K D and Manwaring P 2008 3D electric impedance tomography reconstruction on multi-core computing platforms IEEE Eng. Med. Biol. Soc. 30th Ann. Int. Conf. pp 1175-7
3. Boverman G, Isaacson D, Saulnier G J and Newell J C 2009 Methods for compensating for variable electrode contact in EIT IEEE Trans. Biomed. Eng. 56 2762-72
4. Brown B H 2003 Electrical impedance tomography (EIT): a review J. Med. Eng. Tech. 27 97-108 (Pubitemid 36745675)
5. Cheney M, Isaacson D and Newell J C 1999 Electrical impedance tomography SIAM Rev. 41 85-101 (Pubitemid 129723749)
6. Cheng K-S, Isaacson D, Newell J C and Gisser D G 1989 Electrode models for electric current computed tomography IEEE Trans. Biomed. Eng. 36 918-24 (Pubitemid 19232669)
7. Demidenko E 2006 Separable Laplace equation, magic Toeplitz matrix, and generalized Ohm's law Appl. Math. Comput. 181 1313-27 (Pubitemid 44646604)
8. Demidenko E, Borsic A, Hartov A, Wan Y and Halter R 2011 Statistical estimation of EIT electrode contact impedance using magic Toeplitz matrix IEEE Trans. Biomed. Eng. 58 2194-201
9. Demidenko E, Hartov A and Paulsen K 2004 Statistical estimation of resistance/conductance by electrical impedance tomography measurements IEEE Trans. Med. Imaging 23 829-38
10. Demidenko E, Hartov A, Soni N and Paulsen K D 2005 On optimal current patterns for electrical impedance tomography IEEE Trans. Biomed. Eng. 52 238-48 (Pubitemid 40188672)
11. Duffy D G 2008 Mixed Boundary Value Problems (Boca Raton, FL: Chapman and Hall/CRC)
12. Gray R M 2006 Toeplitz and Circulant Matrices: A Review (Boston, MA: Now)
13. Hartov A, Kerner T E, Markova M T, Osterman K S and Paulsen K D 2001 Dartmouth's next generation EIS system: preliminary hardware considerations Physiol. Meas. 22 25-30 (Pubitemid 32186753)
14. Hartov A, Soni N and Halter R 2005 Breast screening with electrical impedance tomography Electrical Impedance Tomography ed D S Holder (Bristol: Institute of Physics Publishing) pp 167-85
15. Heikkinen L M, Vilhunen T, West R and Vauhkonen N 2002 Simultaneous reconstruction of electrode contact impedances and internal electrical properties: II. Laboratory experiments Meas. Sci. Technol. 13 1855-61 (Pubitemid 36225157)
16. Isaacson D 1986 Distinguishability of conductivities by electric current computed tomography IEEE Trans. Med. Imaging MI-5 91-5 (Pubitemid 16613325)
17. Karhunen A, Seppänen A, Lehikoinen A, Monteiro P J M and Kaipio J P 2010 Electrical resistance tomography imaging of concrete Cem. Concr. Res. 40 137-45
18. Kerner T E, Paulsen K D, Hartov A, Soho S K and Poplack S P 2002 Electrical impedance spectroscopy of the breast: clinical imaging results in 26 subjects IEEE Trans. Med. Imaging 21 638-45 (Pubitemid 34950082)
19. Lionheart W, Polydorides N and Borsic N 2005 The reconstruction problem Electrical Impedance Tomography ed D S Holder (Bristol: Institute of Physics Publishing) pp 3-64
20. Paulson K, Brekon W and Pidcock M 1992 Electrode modeling in electrical impedance tomography SIAM J. Appl. Math. 52 1012-22 (Pubitemid 23572889)
21. Pidcock M K, Kuzuoglu M and Leblebicioglu K 1995 Analytic and semi-analytic solutions in electrical impedance tomography: I. Two-dimensional problems Physiol. Meas. 16 77-90
22. Polyanin A D 2002 Handbook of Linear Partial Differential Equations for Engineers and Scientists (Boca Raton, FL: Chapman and Hall/CRC)
23. Saulnier S, Liu N, Tamma C P, Xia H, Kao T-J, Newell J and Isaacson D 2007 An electrical impedance spectroscopy system for breast cancer detection Proc. IEEE EMBC pp 4154-7
24. Seber S A F and Wild C J 1989 Nonlinear Regression (New York: Wiley)
25. Somersalo E, Cheney M and Isaacson D 1992 Existence and uniqueness for electrode models for electric-current computed tomography SIAM J. Appl. Math. 52 1023-40 (Pubitemid 23572888)
26. Vilhunen T, Kaipio J P, Vauhkonen P J, Savolainen T and Vauhkonen M 2002 Simultaneous reconstruction of electrode contact impedances and internal electrical properties: I. Theory Meas. Sci. Technol. 13 1848-54 (Pubitemid 36225156)
27. Wiley J D and Webster J G 1985 Analysis and control of the current distribution under circular dispersive electrodes IEEE Trans. Biomed. Eng. 29 381-5
28. Zou Y and Guo Z 2003 A review of electrical impedance techniques for breast cancer detection Med. Eng. Phys. 25 79-90 (Pubitemid 36109168)