Electrical impedance spectroscopy as a potential tool for recovering bone porosity

Physics in Medicine and Biology

Volumn 54, Issue 10, 2009, Pages 3063-3082

  Bonifasi Lista, C ^a   Cherkaev, E ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL APPROACH; APRIORI; BONE MARROW; BONE MICROARCHITECTURE; CANCELLOUS BONE; COMPLEX CONDUCTIVITY; COMPLEX PERMITTIVITY; CORRELATION ANALYSIS; EFFECTIVE PROPERTY; ELECTRICAL IMPEDANCE SPECTROSCOPY; ELECTRICAL PROPERTY; EXPERIMENTAL ERRORS; ILL POSED; IN-VIVO; MICRO CT; MICROSTRUCTURAL INFORMATION; POTENTIAL TOOL; RANDOM NOISE; REGULARIZATION TECHNIQUE; SPECTRAL MEASURE;

COMPUTERIZED TOMOGRAPHY; ELECTRIC IMPEDANCE; ELECTRIC IMPEDANCE MEASUREMENT; NORMAL DISTRIBUTION; PERMITTIVITY; POROSITY; RANDOM ERRORS; SENSITIVITY ANALYSIS; UNCERTAINTY ANALYSIS;

BONE;

ARTICLE; BONE; BONE MARROW; CANCELLOUS BONE; CLINICAL TRIAL; CONTROLLED CLINICAL TRIAL; CONTROLLED STUDY; HUMAN; IMPEDANCE; MICRO-COMPUTED TOMOGRAPHY; OSTEOPOROSIS; POROSITY; PRIORITY JOURNAL; RANDOMIZED CONTROLLED TRIAL; SPECTROSCOPY; ALGORITHM; BONE DENSITY; DENSITOMETRY; IMPEDANCE PLETHYSMOGRAPHY; METHODOLOGY; PHYSIOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

DIAGNOSTIC AGENT;

ALGORITHMS; BONE AND BONES; BONE DENSITY; DENSITOMETRY; ELECTRIC IMPEDANCE; HUMANS; PLETHYSMOGRAPHY, IMPEDANCE; POROSITY; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 67650735419     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/54/10/007     Document Type: Article

References (49)

1. Bell K L, Loveridge N, Power J, Garrahan N, Meggitt B F and Reeve J 1999 Regional differences in cortical porosity in the fractured femoral neck Bone 24 57-64
2. Bergman D J 1978 The dielectric constant of a composite material-a problem in classical physics Phys. Rep. C 43 377-407
3. Bergman D J 1980 Exactly solvable microscopic geometries and rigorous bounds for complex dielectric constant of a two-component composite material Phys. Rev. Lett. 44 1285-7
4. Bergman D J 1985 Bulk physical properties of composite media Les Méthodes de L'homogénéisation: Théorie et Applications en Physique (Collection de la Direction des tudes et Recherches D'lectricité de France) (Paris: Editions Eyrolles) pp 1-128
5. Bergman D J 1993 Hierarchies of Stieltjes functions and their applications to the calculation of bounds for the dielectric constant of a two-component composite medium SIAM J. Appl. Math. 53 915-30
6. Bonifasi-Lista C and Cherkaev E 2006 Identification of bone microstructure from effective complex modulus Vibration Problems ICOVP 2005 (Springer Proceedings in Physics vol 111) ed E Inan and A Kiris pp 91-6
7. Bonifasi-Lista C and Cherkaev E 2008 Analytical relations between effective material properties and microporosity: application to bone mechanics Int. J. Eng. Sci. 46 1239-52
8. Cioranescu D and Donato P 1999 An Introduction to Homogenization (Oxford Lectures Series in Mathematics and its Applications) (London: Oxford University Press)
9. Cherkaev E 2001 Inverse homogenization for evaluation of effective properties of a mixture Inverse Problems 17 1203-18
10. Cherkaev E 2003 Spectral coupling of effective properties of a random mixture IUTAM Symp. on Asymptotics, Singularities and Homogenisation in Problems of Mechanics ed A B Movchan (Dordrecht: Kluwer) pp 331-40
11. Cherkaev E and Golden K 1998 Inverse bounds for microstructural parameters of a composite media derived from complex permittivity measurements Waves Random Media 8 437-50
12. Cherkaeva E and Tripp A C 1996 Bounds on porosity for dielectric logging Proc. of the 9th Conf. of the European Consortium for Mathematics in Industry (Technical University of Denmark, Copenhagen)
13. Cherkaev E and Ou M J 2008 De-homogenization: reconstruction of moments of the spectral measure of composite Inverse Problems 24 065008
14. Cherkaev E and Zhang D 2003 Coupling of the effective properties of a random mixture through the reconstructed spectral representation Phys. B: Phys. Condens. Matter 338 16-23
15. Day A R and Thorpe M F 1999 The spectral function of a composite: the inverse problem J. Phys. Condens. Matter 11 2551-68
16. Day A R, Thorpe M F, Grant A R and Sievers A J 2000 The spectral function of a composite from reflectance data Physica B 279 17-20
17. Gabriel C, Gabriel S and Corthout E 1996a The dielectric properties of biological tissues: I. Literature survey Phys. Med. Biol. 41 2231-49
18. Gabriel S, Lau R W and Gabriel C 1996b The dielectric properties of biological tissues: II. Measurements in the frequency range of 10 Hz to 20 GHz Phys. Med. Biol. 41 2251-69 (Pubitemid 26376902)
19. Gabriel S, Lau R W and Gabriel C 1996c The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum of tissues Phys. Med. Biol. 41 2271-93 Software for calculation of dielectric properties of tissues available at http://niremf.ifac.cnr.it/tissprop/ (Pubitemid 26376903)
20. Gajdardziska-Josifovska M, McPhedran R C, Cockayne D J H, McKenzie D R and Collins R E 1989a Silver-magnesium fluoride cermet films: I. Preparation and microstructuretical and electrical properties Appl. Opt. 28 2736-43
21. Gajdardziska-Josifovska M, McPhedran R C, Cockayne D J H, McKenzie D R and Collins R E 1989b Silver-magnesium fluoride cermet films: II. Optical and electrical properties Appl. Opt. 28 2736-53
22. Golden K M, Ackley S F and Lytle V I 1998 The perlocation phase transition in sea ice Science 282 2238-41
23. Golden K and Papanicolaou G 1983 Bounds for the effective parameters of heterogeneous media by analytic continuation Commun. Math. Phys. 90 473-91
24. Golden K and Papanicolaou G 1985 Bounds for effective parameters of multicomponent media by analytic continuation J. Stat. Phys. 40 655-67
25. Habal M B and Reddi A H 1992 Bone Grafts and Bone Substitutes: Investigation and Clinical Application (Philadelphia, PA: Saunders)
26. Hashin Z 1972 Theory of fiber reinforced materials NASA Contractor Report NASA CR-1974
27. Hernandez C J 2006 A biomechanical perspective on bone quality Bone 39 1173-81
28. Katz S, Zlochiver S and Abboud S 2006 Induced current bio-impedance technique for monitoring bone mineral density-a simulation model Ann. Biomed. Eng. 34 1332-42
29. Lax P D 2002 Functional Analysis (New York: Wiley)
30. Lord Rayleigh 1892 On the influence of obstacles arranged in rectangular order upon the properties of a medium Phil. Mag. 34 481-502
31. McPhedran R C, McKenzie D R and Milton G W 1982 Extraction of structural information from measured transport properties of composites Appl. Phys. A 29 19-27
32. McPhedran R C and Milton G W 1990 Inverse transport problems for composite media Mater. Res. Soc. Symp. Proc. 195 257-74
33. Milton G W 1979 Theoretical studies of the transport properties of inhomogeneous media Research Project Report (Sidney: University of Sidney)
34. Milton G W 1980 Bounds on the complex dielectric constant of a composite material Appl. Phys. Lett. 37 300-2
35. Milton G W 1981 Bounds on the complex permittivity of a two-component composite material J. Appl. Phys. 52 5286-93
36. Milton G W and Golden K 1990 Representations for the conductivity functions of multicomponent composites Commun. Pure Appl. Math. 43 5 647-71
37. Perrins W T, McKenzie D R and McPhedran R C 1979 Transport properties of regular arrays of cylinders Proc. R. Soc. Lond. A 369 207-25
38. Prins S H, Jørgensen H L, Jørgensen L V and Hassanger C 1998 The role of quantitative ultrasound in the assessment of bone: a review Clin. Physiol. Funct. Imaging 18 3-17
39. Qin L, Genant H K, Griffith J and Leung K-S 2007 Advanced Bioimaging Technologies in Assessment of the Quality of Bone and Scaffold Materials: Techniques and Applications (Berlin: Springer)
40. Sierpowska J, Hakulinen M A, Töyräs J, Day J S, Weinans H, Jurvelin J S and Lappalainen R 2005 Prediction of mechanical properties of human trabecular bone by electrical measurements Physiol. Meas. 26 S119-31
41. Sierpowska J, Lammi M J, Hakulinen M A, Jurvelin J S, Lappalainen R and Töyräs J 2007 Effect of human trabecular bone composition on its electrical properties Med. Eng. Phys. 29 845-52
42. Sierpowska J, Töyräs J, Hakulinen M A, Saarakkala S, Jurvelin J S and Lappalainen R 2003 Electrical and dielectrical properties of bovine trabecular bone-relationship with mechanical properties and mineral density Phys. Med. Biol. 48 775-86
43. Speller R D, Royle G J and Horrocks J A 1989 Instrumentation and techniques in bone density measurement J. Phys. E: Sci. Instrum. 22 202-14
44. Tokarzewski S, Telega J J and Galka A 2001 Torsional rigidities of cancellous bone filled with marrow: the application of multipoint Pade approximants Eng. Trans. 49 135-53
45. Tripp A C, Cherkaeva E and Hulen J 1998 Bounds on the complex conductivity of geophysical mixtures Geophys. Prospect. 46 589-601
46. Tuncer E 2005 Extracting the spectral density function of a binary composite without a priori assumptions Phys. Rev. B 71 012101
47. Vogel C R 2002 Computational Methods for Inverse Problems (Philadelphia, PA: SIAM)
48. Williams P A and Saha S 1996 The electrical and dielectric properties of human bone tissue and their relationship with density and bone mineral content Ann. Biomed. Eng. 24 223-33
49. Zhang D and Cherkaev E 2008 Pade approximations for identification of air bubble volume from temperature or frequency dependent permittivity of a two-component mixture Inverse Problems Sci. Eng. 16 425-45