Modeling of the dielectric properties of trabecular bone samples at microwave frequency

Abstract In this paper, the dielectric properties of human trabecular bone are evaluated under physiological condition in the microwave range. Assuming a two components medium, simulation and experimental data are presented and discussed. A special experimental setup is developed in order to deal with inhomogeneous samples. Simulation data are obtained using finite difference time domain from a realistic sample. The bone mineral density of the samples are also measured. The simulation and experimental results of the present study suggest that there is a negative relation between bone volume fraction (BV/TV) and permittivity/conductivity: the higher the BV/TV, the lower the permittivity/conductivity. This is in agreement with the recently published in vivo data.

[1]  C. Muravchik,et al.  Electric behaviour of natural and demineralized bones. Dielectric properties up to 1 GHz , 1992 .

[2]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[3]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[4]  A. Silman,et al.  Predictive Value of BMD for Hip and Other Fractures , 2005, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[5]  C Gabriel,et al.  Dielectric measurement: error analysis and assessment of uncertainty , 2006, Physics in medicine and biology.

[6]  Hualou Liang,et al.  Adaptive Multiscale Entropy Analysis of Multivariate Neural Data , 2012, IEEE Transactions on Biomedical Engineering.

[7]  Ramiro M. Irastorza,et al.  Noninvasive measurement of dielectric properties in layered structure: A system identification approach , 2009 .

[8]  E. Cherkaev,et al.  Electrical impedance spectroscopy as a potential tool for recovering bone porosity , 2009, Physics in medicine and biology.

[9]  Steven G. Johnson,et al.  Meep: A flexible free-software package for electromagnetic simulations by the FDTD method , 2010, Comput. Phys. Commun..

[10]  J. Reginster,et al.  Osteoporosis: a still increasing prevalence. , 2005, Bone.

[11]  M. Okoniewski,et al.  Sensing volume of open-ended coaxial probes for dielectric characterization of breast tissue at microwave frequencies , 2003, IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450).

[12]  M. Lazebnik,et al.  Ultrawideband temperature-dependent dielectric properties of animal liver tissue in the microwave frequency range , 2006, Physics in medicine and biology.

[13]  Fabio Baruffaldi,et al.  Volume to density relation in adult human bone tissue. , 2011, Journal of Biomechanics.

[14]  Elena Cherkaev,et al.  Characterization of structure and properties of bone by spectral measure method. , 2011, Journal of biomechanics.

[15]  Elena Cherkaev,et al.  Spectral analysis and connectivity of porous microstructures in bone. , 2011, Journal of biomechanics.

[16]  Kuopion Yliopiston,et al.  Dielectric Characterization of Trabecular Bone Quality , 2007 .

[17]  P.M. van den Berg,et al.  Microwave-tomographic imaging of the high dielectric-contrast objects using different image-reconstruction approaches , 2005, IEEE Transactions on Microwave Theory and Techniques.

[18]  John B Weaver,et al.  Integration of microwave tomography with magnetic resonance for improved breast imaging. , 2013, Medical physics.

[19]  Shireen D. Geimer,et al.  Clinical Microwave Tomographic Imaging of the Calcaneus: A First-in-Human Case Study of Two Subjects , 2012, IEEE Transactions on Biomedical Engineering.

[20]  J. Lovetri,et al.  A Novel Microwave Tomography System Using a Rotatable Conductive Enclosure , 2011, IEEE Transactions on Antennas and Propagation.

[21]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[22]  Zhong Qing Zhang,et al.  Active microwave imaging. I. 2-D forward and inverse scattering methods , 2002 .

[23]  Keith D Paulsen,et al.  Microwave imaging for neoadjuvant chemotherapy monitoring: initial clinical experience , 2012, Breast Cancer Research.

[24]  P. Rüegsegger,et al.  Direct Three‐Dimensional Morphometric Analysis of Human Cancellous Bone: Microstructural Data from Spine, Femur, Iliac Crest, and Calcaneus , 1999, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[25]  R. W. Lau,et al.  The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum of tissues. , 1996, Physics in medicine and biology.

[26]  Paul M. Meaney,et al.  Bone Dielectric Property Variation as a Function of Mineralization at Microwave Frequencies , 2012, Int. J. Biomed. Imaging.

[27]  Young-Tae Lim,et al.  Microwave Tomography Analysis System for Breast Tumor Detection , 2012, Journal of Medical Systems.

[28]  F. Vericat,et al.  Is there any information on micro-structure in microwave tomography of bone tissue? , 2012, Medical engineering & physics.

[30]  C Gabriel,et al.  The dielectric properties of biological tissues: I. Literature survey. , 1996, Physics in medicine and biology.

[31]  Sharon Zlochiver,et al.  Induced Current Bio-impedance Technique for Monitoring Bone Mineral Density—A Simulation Model , 2006, Annals of Biomedical Engineering.

[32]  M J Lammi,et al.  Effect of human trabecular bone composition on its electrical properties. , 2007, Medical engineering & physics.

[33]  R. W. Lau,et al.  The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz. , 1996, Physics in medicine and biology.

[34]  Andrea Massa,et al.  Guest Editorial: Special Cluster on Microwave Medical Imaging , 2012 .

[35]  G. Mercato,et al.  Variation of the electric properties along the diaphysis of bovine femoral bone , 1991, Medical and Biological Engineering and Computing.

[36]  M A Mayosky,et al.  Dielectric properties of natural and demineralized collagen bone matrix , 2011, IEEE Transactions on Dielectrics and Electrical Insulation.

[37]  A. Fhager,et al.  Microwave based diagnostics and treatment , 2013, 2013 7th European Conference on Antennas and Propagation (EuCAP).

[38]  H Weinans,et al.  Interrelationships between electrical properties and microstructure of human trabecular bone , 2006, Physics in medicine and biology.