Asymptotic analysis of the membrane structure to sensitivity of frequency-difference electrical impedance tomography

Inverse Problems

Volumn 28, Issue 7, 2012, Pages

  Kim, Sungwhan ^a   Lee, Eun Jung ^b   Woo, Eung Je ^c   Seo, Jin Keun ^b  

^a Hanbat National University   (South Korea)

^b Yonsei University   (South Korea)

^c Kyung Hee University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL TISSUES; COMPLEX COEFFICIENTS; COMPLEX POTENTIALS; CURRENT-VOLTAGE DATA; DIFFERENCE IMAGING; ELECTRICAL IMPEDANCE TOMOGRAPHY; ELLIPTIC PARTIAL DIFFERENTIAL EQUATION; ELLIPTIC PDES; FREQUENCY-DEPENDENT; GENERAL APPROACH; IMAGINARY PARTS; MULTI FREQUENCY; PHANTOM EXPERIMENT; REAL COEFFICIENTS; REAL PART; SPHERICAL MODELS; THIN MEMBRANE; TRIGONOMETRIC SERIES; TWO-DIMENSIONAL IMAGING; VOLTAGE DATA;

ASYMPTOTIC ANALYSIS; CELL MEMBRANES; CYTOLOGY; ELECTRIC IMPEDANCE; ELECTRIC IMPEDANCE TOMOGRAPHY;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 84863811552     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/28/7/075004     Document Type: Article

References (36)

1. Barber D C 2005 EIT: the view from Sheffield Electrical Impedance Tomography: Methods, History and Applications ed D Holder (Bristol: Institute of Physics Publishing) pp 348-72
2. Berlyand L and Gorb Y 2005 Asymptotics of the effective conductivity of composites with closely spaced inclusions of optimal shape Q. J. Mech. Appl. Math. 58 83-106 (Pubitemid 40717995)
3. Borcea L and Papanicolaou G C 1998 Network approximation for transport properties of high contrast materials SIAM J. Appl. Math. 58 501-39 (Pubitemid 128496903)
4. Cherkaev A V 2001 Inverse homogenization for evaluation of effective properties of a mixture Inverse Problems 17 1203-18 (Pubitemid 32819371)
5. Cherkaev A V and Gibiansky L V 1994 Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli J. Math. Phys. 35 127-45 (Pubitemid 24755250)
6. Dukhin S S 1971 Dielectric properties of disperse systems Surface and Colloid Science vol 3 (New York: Wiley-Interscience) pp 83-165
7. Gabriel S, Lau R W and Gabriel C 1996 The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz Phys. Med. Biol. 41 2251-69 (Pubitemid 26376902)
8. Geddes L A and Baker L E 1967 The specific resistance of biological material: a compendium of data for the biomedical engineer and physiologist Med. Biol. Eng. 5 271-93
9. Gimsa J and Wachner D 1999 A polarization model overcoming the geometric restrictions of the Laplace solution for spheroidal cells: obtaining new equations for field-induced forces and transmembrane potential Biophys. J. 77 1316-26
10. Griffiths H, Leung H T L and Williams R J 1992 Imaging the complex impedance of the thorax Clin. Phys. Physiol. Meas. 13 77-81
11. Grimnes S and Martinsen O G 2008 Bioimpedance and Bioelectricity Basics (Oxford: Elsevier)
12. Grosse C and Schwan H P 1992 Cellular membrane potentials induced by alternating fields Biophys. J. 63 1632-42 (Pubitemid 23052098)
13. Halter R, Hartov A and Paulsen K D 2004 Design and implementation of a high frequency electrical impedance tomography system Physiol. Meas. 25 379-90 (Pubitemid 38252228)
14. Halter R, Hartov A and Paulsen K D 2008 A broadband high-frequency electrical impedance tomography system for breast imaging IEEE Trans. Biomed. Eng. 55 650-59
15. Holder D 2005 Electrical Impedance Tomography: Methods, History and Applications (Bristol: Institute of Physics Publishing)
16. Jain H, Isaacson D, Edic P M and Newell J C 1997 Electrical impedance tomography of complex conductivity distributions with noncircular boundary IEEE Trans. Biomed. Eng. 44 1051-60 (Pubitemid 27467383)
17. Kolpakov A, Tagantsev A K, Berlyand L and Kanareykin A 2007 Nonlinear dielectric response of periodic composite materials J. Electroceram. 18 129-37 (Pubitemid 46644040)
18. Kotnik T and Miklavčič D 2000 Second-order model of membrane electric field induced by alternating external electric fields IEEE Trans. Biomed. Eng. 47 1074-81 (Pubitemid 30614841)
19. Kotnik T and Miklavčič D 2000 Analytical description of transmembrane voltage induced by electric fields on spheroidal cells Biophys. J. 79 670-9 (Pubitemid 30626164)
20. Kuen J, Woo E J and Seo J K 2009 Multi-frequency time-difference complex conductivity imaging of canine and human lungs using KHU Mark1 EIT system Physiol. Meas. 30 S149-64
21. Liu N, Saulnier G J, Newell J C and Kao T 2005 ACT4: a high-precision multi-frequency electrical impedance tomography Proc. 6th Conf. Biomedical Applications of EIT (London: UCL)
22. Milton G W 1981 Bounds on the complex permittivity of a two-component composite material J. Appl. Phys. 52 5286-93 (Pubitemid 12431153)
23. Oh T I, Woo E J and Holder D 2007 Multi-frequency EIT system with radially symmetric architecture: KHU Mark1 Physiol. Meas. 28 S183-96 (Pubitemid 47028481)
24. Oh T I, Lee K H, Kim S M, Koo W, Woo E J and Holder D 2007 Calibration methods for a multi-channel multi-frequency EIT system Physiol. Meas. 28 1175-88 (Pubitemid 350093339)
25. Oh T I, Koo W, Lee K H, Kim S M, Lee J, Kim S W, Seo J K and Woo E J 2008 Validation of a multi-frequency electrical impedance tomography (mfEIT) system KHU Mark1: impedance spectroscopy and time-difference imaging Physiol. Meas. 29 295-307 (Pubitemid 351423041)
26. Pauly V H and Schwan H P 1959 Uber die impendanz einer suspension von kugelformigen teilchen mit einer schale Z. Naturf. b 14 125-31
27. Pavlin M, Slivnik T and Miklavcic D 2002 Effective conductivity of cell suspensions IEEE Trans. Biomed. Eng. 49 77-80 (Pubitemid 34008117)
28. Pavlin M, Slivnik T and Miklavcic D 2002 Dependence of induced transmembrane potential on cell density, arrangement and cell position inside a cell system IEEE Trans. Biomed. Eng. 49 605-12 (Pubitemid 34525964)
29. Pavlin M and Miklavcic D 2003 Effective conductivity of a suspension of permeabilized cells: a theoretical analysis Biophys. J. 85 719-29 (Pubitemid 36909641)
30. Seo J K, Lee J, Kim S W, Zribi H and Woo E J 2008 Frequency-difference electrical impedance tomography (fdEIT): algorithm development and feasibility study Physiol. Meas. 29 929-44
31. 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)
32. Soni N K, Paulsen K D, Dehghani H and Hartov A 2006 Finite element implementation of Maxwell's equations for image reconstruction in electrical impedance tomography IEEE Trans. Med. Imaging 25 55-61 (Pubitemid 43172584)
33. Valic B, Golzio M, Pavlin M, Schatz A, Faurie C, Gabriel B, Teissie J, Rols M P and Miklavcic D 2003 Effects of electric field induced transmembrane potential on spheroidal cells: theory and experiment Eur. Biophys. J. 32 519-28 (Pubitemid 37408656)
34. Wilson A J, Milnes P, Waterworth A R, Smallwood R H and Brown B H 2001 Mk3.5: a modular, multi-frequency successor to the Mk3a EIS/EIT system Physiol. Meas. 22 49-54 (Pubitemid 32186756)
35. Yerworth R J, Bayford R H, Cusick G, Conway M and Holder D S 2002 Design and performance of the UCLH Mark 1b 64 channel electrical impedance tomography (EIT) system, optimized for imaging brain function Physiol. Meas. 23 149-58 (Pubitemid 34155074)
36. Yerworth R J, Bayford R H, Brown B, Milnes P, Conway M and Holder D S 2003 Electrical impedance tomography spectroscopy (EITS) for human head imaging Physiol. Meas. 24 477-89 (Pubitemid 36648412)