Compression-dependency of soft tissue bioimpedance for in-vivo and in-vitro tissue testing

1 T. Krouskop, T. Wheeler, and F. Kallel, "Elastic moduli of breast and prostate tissues under compression," Ultrason. Imaging, vol. 20, no. 4, pp. 260–274, 1998. http://dx.doi.org/10.1177/01617346980200040310.1177/016173469802000403KrouskopT.WheelerT.KallelF."Elastic moduli of breast and prostate tissues under compression,"Ultrason. Imagingvol. 204260–2741998http://dx.doi.org/10.1177/016173469802000403Open DOISearch in Google Scholar

2 J. J. O'Hagan and A. Samani, "Measurement of the hyperelastic properties of tissue slices with tumour inclusion," Phys. Med. Biol., vol. 53, no. 24, pp. 7087–106, 2008. http://dx.doi.org/10.1088/0031-9155/53/24/00610.1088/0031-9155/53/24/006O'HaganJ. J.SamaniA."Measurement of the hyperelastic properties of tissue slices with tumour inclusion,"Phys. Med. Biolvol. 53247087–1062008http://dx.doi.org/10.1088/0031-9155/53/24/006Open DOISearch in Google Scholar

3 P. Wellman and R. Howe, "Breast tissue stiffness in compression is correlated to histological diagnosis," Harvard BioRobotics, pp. 1–15, 1999. http://www.biorobotics.harvard.edu/pubs/1999/mechprops.pdfWellmanP.HoweR."Breast tissue stiffness in compression is correlated to histological diagnosis,"Harvard BioRobotics1–151999http://www.biorobotics.harvard.edu/pubs/1999/mechprops.pdfSearch in Google Scholar

4 J. Jossinet, "The impedivity of freshly excised human breast tissue," Physiol. Meas., vol. 19, no. 1, pp. 61–75, 1998. http://dx.doi.org/10.1088/0967-3334/19/1/00610.1088/0967-3334/19/1/006JossinetJ."The impedivity of freshly excised human breast tissue,"Physiol. Measvol. 19161–751998http://dx.doi.org/10.1088/0967-3334/19/1/006Open DOISearch in Google Scholar

5 F. Kallel and J. Ophir, "Tissue mechanical attributes imaging: principles and methods," in Computer-Based Medical Systems. CBMS 2000, pp. 147–159, 2000.KallelF.OphirJ."Tissue mechanical attributes imaging: principles and methods,"Computer-Based Medical Systems. CBMS2000147–15910.1109/CBMS.2000.856893Search in Google Scholar

6 J. Bercoff, S. Chaffai, and M. Tanter, "In vivo breast tumor detection using transient elastography," Ultrasound Med. Biol., vol. 29, no. 10, pp. 1387–1396, 2003http://dx.doi.org/10.1016/S0301-5629(03)00978-510.1016/S0301-5629(03)00978-5BercoffJ.ChaffaiS.TanterM."In vivo breast tumor detection using transient elastography,"Ultrasound Med. Biolvol. 29101387–13962003http://dx.doi.org/10.1016/S0301-5629(03)00978-5Open DOISearch in Google Scholar

7 A. B. Nover, S. Jagtap, W. Anjum, H. Yegingil, W. Y. Shih, W.-H. Shih, and A. D. Brooks, "Modern breast cancer detection: a technological review," Int. J. Biomed. Imaging, vol. 2009, p. 902326, Jan. 2009. http://dx.doi.org/10.1155/2009/902326NoverA. B.JagtapS.AnjumW.YegingilH.ShihW. Y.W.-HShihBrooksA. D."Modern breast cancer detection: a technological review,"Int. J. Biomed. Imaging, vol2009p902326Jan. 2009http://dx.doi.org/10.1155/2009/90232610.1155/2009/902326Search in Google Scholar

8 Y. C. Fung, Biomechanics: Mechanical Properties of living tissues. New York: New York: Springer-Verlag, 1993. http://dx.doi.org/10.1007/978-1-4757-2257-4FungY. C.Biomechanics: Mechanical Properties of living tissuesNew York: New YorkSpringer-Verlag1993http://dx.doi.org/10.1007/978-1-4757-2257-410.1007/978-1-4757-2257-4Search in Google Scholar

9 [9] A. A. Fischer, "Pressure algometry over normal muscles. Standard values, validity and reproducibility of pressure threshold," Pain, vol. 30, pp. 115–126, 1987. http://dx.doi.org/10.1016/0304-3959(87)90089-310.1016/0304-3959(87)90089-3FischerA. A."Pressure algometry over normal muscles. Standard values, validity and reproducibility of pressure threshold,"Painvol. 30115–1261987http://dx.doi.org/10.1016/0304-3959(87)90089-3Open DOISearch in Google Scholar

10 B. S. Garra, E. I. Cespedes, J. Ophir, S. R. Spratt, R. A. Zuurbier, C. M. Magnant, and M. F. Pennanen, "Elastography of breast lesions: initial clinical results," Radiology, vol. 202, pp. 79–86, 1997. http://dx.doi.org/10.1148/radiology.202.1.898819510.1148/radiology.202.1.8988195GarraB. S.CespedesE. I.OphirJ.SprattS. R.ZuurbierR. A.MagnantC. M.PennanenM. F."Elastography of breast lesions: initial clinical results,"Radiologyvol. 20279–861997http://dx.doi.org/10.1148/radiology.202.1.89881958988195Open DOISearch in Google Scholar

11 T. L. Chenevert, A. R. Skovoroda, M. O'Donnell, and S. Y. Emelianov, "Elasticity reconstructive imaging by means of stimulated echo MRI," Magn. Reson. Med., vol. 39, pp. 482– 490, 1998. http://dx.doi.org/10.1002/mrm.191039031910.1002/mrm.1910390319ChenevertT. L.SkovorodaA. R.O'DonnellM.EmelianovS. Y."Elasticity reconstructive imaging by means of stimulated echo MRI,"Magn. Reson. Medvol. 39482–4901998http://dx.doi.org/10.1002/mrm.19103903199498605Open DOISearch in Google Scholar

12 W. C. Hayes, L. M. Keer, G. Herrmann, and L. F. Mockros, "A mathematical analysis for indentation tests of articular cartilage," J. Biomech., vol. 5, pp. 541–551, 1972. http://dx.doi.org/10.1016/0021-9290(72)90010-310.1016/0021-9290(72)90010-3HayesW. C.KeerL. M.HerrmannG.MockrosL. F."A mathematical analysis for indentation tests of articular cartilage,"J. Biomechvol. 5541–5511972http://dx.doi.org/10.1016/0021-9290(72)90010-3Open DOISearch in Google Scholar

13 T. A. Krouskop, T. M. Wheeler, and F. Kallel, "Elastic moduli of breast and prostate tissues under compression," Ultrason. Imaging, vol. 20, no. 4, pp. 260–274, 1998. http://dx.doi.org/10.1177/01617346980200040310.1177/016173469802000403KrouskopT. A.WheelerT. M.KallelF."Elastic moduli of breast and prostate tissues under compression,"Ultrason. Imagingvol. 204260–2741998http://dx.doi.org/10.1177/016173469802000403Open DOISearch in Google Scholar

14 A. P. Sarvazyan, A. R. Skovoroda, and Y. P. Pyt'ev, "Mechanical introscopy-a new modality of medical imaging for detection of breast and prostate cancer," Proc. Eighth IEEE Symp. Comput. Med. Syst., pp. 4-5, 1995. http://dx.doi.org/10.1109/cbms.1995.465455SarvazyanA. P.SkovorodaA. R.Pyt'evY. P."Mechanical introscopy-a new modality of medical imaging for detection of breast and prostate cancer,"Proc. Eighth IEEE Symp. Comput. Med. Syst4–51995http://dx.doi.org/10.1109/cbms.1995.46545510.1109/CBMS.1995.465455Search in Google Scholar

15 M. Zhang, Y. P. Zheng, and A. F. T. Mak, "Estimating the effective Young's modulus of soft tissues from indentation tests—nonlinear finite element analysis of effects of friction and large deformation," Med. Eng. Phys., vol. 19, no. 6, pp. 512–517, 1997. http://dx.doi.org/10.1016/S1350-4533(97)00017-910.1016/S1350-4533(97)00017-9ZhangM.ZhengY. P.MakA. F. T."Estimating the effective Young's modulus of soft tissues from indentation tests—nonlinear finite element analysis of effects of friction and large deformation,"Med. Eng. Physvol. 196512–5171997http://dx.doi.org/10.1016/S1350-4533(97)00017-9Open DOISearch in Google Scholar

16 Y. C. Fung, Biomechanics: Mechanical Properties of living tissues. New York: Springer-Verlag, 1993. http://dx.doi.org/10.1007/978-1-4757-2257-4FungY. C.Biomechanics: Mechanical Properties of living tissuesNew YorkSpringer-Verlag1993http://dx.doi.org/10.1007/978-1-4757-2257-410.1007/978-1-4757-2257-4Search in Google Scholar

17 S. Laufer, A. Ivorra, V. E. Reuter, B. Rubinsky, and S. B. Solomon, "Electrical impedance characterization of normal and cancerous human hepatic tissue," Physiol. Meas., vol. 31, pp. 995–1009, 2010. http://dx.doi.org/10.1088/0967-3334/31/7/00910.1088/0967-3334/31/7/009LauferS.IvorraA.ReuterV. E.RubinskyB.SolomonS. B."Electrical impedance characterization of normal and cancerous human hepatic tissue,"Physiol. Measvol. 31995–10092010http://dx.doi.org/10.1088/0967-3334/31/7/00920577035Open DOISearch in Google Scholar

18 T. Morimoto, S. Kimura, Y. Konishi, K. Komaki, T. Uyama, Y. Monden, D. Y. Kinouchi, and D. T. Iritani, "A Study of the Electrical Bio-impedance of Tumors," J. Invest. Surg., vol. 6, pp. 25-32, 1993. http://dx.doi.org/10.3109/0894193930914118910.3109/08941939309141189MorimotoT.KimuraS.KonishiY.KomakiK.UyamaT.MondenY.KinouchiD. Y.IritaniD. T."A Study of the Electrical Bio-impedance of Tumors,"J. Invest. Surgvol. 625–321993http://dx.doi.org/10.3109/089419393091411898452822Open DOISearch in Google Scholar

19 J. Jossinet, "Variability of impedivity in normal and pathological breast tissue," Med. Biol. Eng. Comput., vol. 34, pp. 346–350, 1996. http://dx.doi.org/10.1007/BF0252000210.1007/BF02520002JossinetJ."Variability of impedivity in normal and pathological breast tissue,"Med. Biol. Eng. Computvol. 34346–3501996http://dx.doi.org/10.1007/BF025200028945857Open DOISearch in Google Scholar

20 A. Keshtkar, A. Keshtkar, and R. H. Smallwood, "Electrical impedance spectroscopy and the diagnosis of bladder pathology," Physiol. Meas., vol. 27, pp. 585–596, 2006. http://dx.doi.org/10.1088/0967-3334/27/7/00310.1088/0967-3334/27/7/003KeshtkarA.KeshtkarA.SmallwoodR. H."Electrical impedance spectroscopy and the diagnosis of bladder pathology,"Physiol. Measvol. 27585–5962006http://dx.doi.org/10.1088/0967-3334/27/7/00316705257Open DOISearch in Google Scholar

21 B. H. Brown, J. Tidy, K. Boston, A. D. Blackett, and F. Sharp, "Tetrapolar measurement of cervical tissue structure using impedance spectroscopy," Proc. 20th Annu. Int. Conf. IEEE EMBC, vol. 6, pp. 2886-2889, 1998. http://dx.doi.org/10.1109/iembs.1998.746089BrownB. H.TidyJ.BostonK.BlackettA. D.SharpF."Tetrapolar measurement of cervical tissue structure using impedance spectroscopy,"Proc. 20th Annu. Int. Conf. IEEE EMBCvol. 62886–28891998http://dx.doi.org/10.1109/iembs.1998.74608910.1109/IEMBS.1998.746089Search in Google Scholar

22 C. A. Gonzalez-Correa, "Electrical bioimpedance readings increase with higher pressure applied to the measuring probe," Physiol. Meas., vol. 26, no. 2, pp. 39–47, 2005. http://dx.doi.org/10.1088/0967-3334/26/2/00410.1088/0967-3334/26/2/004Gonzalez-CorreaC. A."Electrical bioimpedance readings increase with higher pressure applied to the measuring probe,"Physiol. Measvol. 26239–472005http://dx.doi.org/10.1088/0967-3334/26/2/00415798245Open DOISearch in Google Scholar

23 B. S. Kim, D. Isaacson, H. Xia, T.-J. Kao, J. C. Newell, and G. J. Saulnier, "A method for analyzing electrical impedance spectroscopy data from breast cancer patients," Physiol. Meas., vol. 28, pp. S237–S246, 2007. http://dx.doi.org/10.1088/0967-3334/28/7/S1710.1088/0967-3334/28/7/S17KimB. S.IsaacsonD.XiaH.KaoT.-J.NewellJ. C.SaulnierG. J."A method for analyzing electrical impedance spectroscopy data from breast cancer patients,"Physiol. Measvol. 28S237–S2462007http://dx.doi.org/10.1088/0967-3334/28/7/S17243508417664638Open DOISearch in Google Scholar

24 K. S. Cole, "Permeability and Impermeability of cell membranes for ions," Cold Spring Harb. Symp. Quant. Biol., vol. 8, pp. 110-122, 1940. http://dx.doi.org/10.1101/SQB.1940.008.01.01310.1101/SQB.1940.008.01.013ColeK. S."Permeability and Impermeability of cell membranes for ions,"Cold Spring Harb. Symp. Quant. Biolvol. 8110–1221940http://dx.doi.org/10.1101/SQB.1940.008.01.013Open DOISearch in Google Scholar

25 R. Dodde, J. Bull, and A. Shih, "Bioimpedance of soft tissue under compression," Physiol. Meas., vol. 33, pp. 1095–1109, 2012. http://dx.doi.org/10.1088/0967-3334/33/6/109510.1088/0967-3334/33/6/1095DoddeR.BullJ.ShihA."Bioimpedance of soft tissue under compression,"Physiol. Measvol. 331095–11092012http://dx.doi.org/10.1088/0967-3334/33/6/109522621935Open DOISearch in Google Scholar

26 C. Gonzalez-Correa, "Electrical bioimpedance readings increase with higher pressure applied to the measuring probe," Physiol. Meas., vol. 26, no. 2, pp. 39–47, 2005. http://dx.doi.org/10.1088/0967-3334/26/2/00410.1088/0967-3334/26/2/004Gonzalez-CorreaC."Electrical bioimpedance readings increase with higher pressure applied to the measuring probe,"Physiol. Measvol. 26239–472005http://dx.doi.org/10.1088/0967-3334/26/2/004Open DOISearch in Google Scholar

27 B. Belmont, R. Dodde, and A. Shih, "Impedance of tissue-mimicking phantom material under compression," J. Electr. Bioimpedance, vol. 4, pp. 2–12, 2013. http://dx.doi.org/10.5617/jeb.443BelmontB.DoddeR.ShihA."Impedance of tissue-mimicking phantom material under compression,"J. Electr. Bioimpedancevol. 42–122013http://dx.doi.org/10.5617/jeb.44310.5617/jeb.443Search in Google Scholar

28 J. Jossinet, C. Trillaud, and S. Chesnais, "Impedance changes in liver tissue exposed in vitro to high-energy ultrasound," Physiol. Meas., vol. 26, pp. S49–S58, 2005. http://dx.doi.org/10.1088/0967-3334/26/2/00510.1088/0967-3334/26/2/005JossinetJ.TrillaudC.ChesnaisS."Impedance changes in liver tissue exposed in vitro to high-energy ultrasound,"Physiol. Measvol. 26S49–S582005http://dx.doi.org/10.1088/0967-3334/26/2/00515798246Open DOISearch in Google Scholar

29 R. Liu, X. Dong, F. Fu, F. You, and X. Shi, "Multi-frequency parameter mapping of electrical impedance scanning using two kinds of circuit model," Physiol. Meas., vol. 28, no. 7, pp. 85– 100, 2007. http://dx.doi.org/10.1088/0967-3334/28/7/S07LiuR.DongX.FuF.YouF.ShiX."Multi-frequency parameter mapping of electrical impedance scanning using two kinds of circuit model,"Physiol. Measvol. 28785– 1002007http://dx.doi.org/10.1088/0967-3334/28/7/S0710.1088/0967-3334/28/7/S0717664650Search in Google Scholar

30 K. S. Cole, "Electrical impedance of suspensions of spheres," J. Gen. Physiol., vol. 12, no. 1, pp. 29–36, 1928. http://dx.doi.org/10.1085/jgp.12.1.2910.1085/jgp.12.1.29ColeK. S."Electrical impedance of suspensions of spheres,"J. Gen. Physiolvol. 12129–361928http://dx.doi.org/10.1085/jgp.12.1.29232368519872446Open DOISearch in Google Scholar

31 K. S. Cole and R. H. Cole, "Electrical impedance of arbacia eggs," J. Gen. Physiol., vol. 19, no. 4, pp. 625–632, 1936. http://dx.doi.org/10.1085/jgp.19.4.62510.1085/jgp.19.4.625ColeK. S.ColeR. H."Electrical impedance of arbacia eggs,"J. Gen. Physiolvol. 194625–6321936http://dx.doi.org/10.1085/jgp.19.4.625214146019872952Open DOISearch in Google Scholar

32 F. Golnaraghi and P. K. Grewal, "Pilot study: electrical impedance based tissue classification using support vector machine classifier," IET Sci. Meas. Technol., vol. 8, pp. 579-587, 2014. http://dx.doi.org/10.1049/iet-smt.2013.008710.1049/iet-smt.2013.0087GolnaraghiF.GrewalP. K."Pilot study: electrical impedance based tissue classification using support vector machine classifier,"IET Sci. Meas. Technolvol. 8579–5872014http://dx.doi.org/10.1049/iet-smt.2013.0087Open DOISearch in Google Scholar

33 O. G. Martinsen and S. Grimnes, Bioimpedance and bioelectricity basics. London: Academic Press, 2011.MartinsenO. G.GrimnesS.Bioimpedance and bioelectricity basicsLondonAcademic Press2011Search in Google Scholar

34 P. K. Grewal, M. Shokoufi, J. Liu, K. Kalpagam, and K. S. Kohli, "Electrical characterization of bolus material as phantom for use in electrical impedance and computed tomography fusion imaging," J. Electr. Bioimpedance, vol. 5, no. 1, pp. 34–39, 2014. http://dx.doi.org/10.5617/jeb.781GrewalP. K.ShokoufiM.LiuJ.KalpagamK.KohliK. S."Electrical characterization of bolus material as phantom for use in electrical impedance and computed tomography fusion imaging,"J. Electr. Bioimpedancevol. 5134–392014http://dx.doi.org/10.5617/jeb.78110.5617/jeb.781Search in Google Scholar

35 B. Rigaud, L. Hamzaoui, M. R. Frikha, N. Chauveau, and J.-P. Morucci, "In vitro tissue characterization and modelling using electrical impedance measurements in the 100 Hz-10 MHz frequency range," Physiol. Meas., vol. 16, no. 3A, pp. A15– A28, 1995. http://dx.doi.org/10.1088/0967-3334/16/3A/002RigaudB.HamzaouiL.FrikhaM. R.ChauveauN.MorucciJ.-P."In vitro tissue characterization and modelling using electrical impedance measurements in the 100 Hz-10 MHz frequency range,"Physiol. Measvol. 163AA15– A281995http://dx.doi.org/10.1088/0967-3334/16/3A/00210.1088/0967-3334/16/3A/002Search in Google Scholar

36 R. Sinkus, J. Bercoff, M. Tanter, J.-L. Gennisson, C. El-Khoury, V. Servois, A. Tardivon, and M. Fink, "Nonlinear viscoelastic properties of tissue assessed by ultrasound," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 53, no. 11, pp. 2009–2018, 2006. http://dx.doi.org/10.1109/TUFFC.2006.14110.1109/TUFFC.2006.141SinkusR.BercoffJ.TanterM.GennissonJ.-L.El-KhouryC.ServoisV.TardivonA.FinkM."Nonlinear viscoelastic properties of tissue assessed by ultrasound,"IEEE Trans. Ultrason. Ferroelectr. Freq. Controlvol. 53112009–20182006http://dx.doi.org/10.1109/TUFFC.2006.141Open DOISearch in Google Scholar

37 S. Maclean, "Brain tissue: Analysis of mechanical properties," URL: http://hdl.handle.net/1811/44968 Ohio State University, 2010.MacleanS."Brain tissue: Analysis of mechanical properties,"http://hdl.handle.net/1811/44968Ohio State University2010Search in Google Scholar

38 K. K. Darvish and J. R. Crandall, "Nonlinear viscoelastic effects in oscillatory shear deformation of brain tissue," Med. Eng. Phys., vol. 23, no. 9, pp. 633–45, 2001. http://dx.doi.org/10.1016/S1350-4533(01)00101-110.1016/S1350-4533(01)00101-1DarvishK. K.CrandallJ. R."Nonlinear viscoelastic effects in oscillatory shear deformation of brain tissue,"Med. Eng. Physvol. 239633–452001http://dx.doi.org/10.1016/S1350-4533(01)00101-1Open DOISearch in Google Scholar

39 C. J. Sparrey, "The role of constituent materials in spinal cord biomechanics," PhD thesis, University of California, 2008.SparreyC. J."The role of constituent materials in spinal cord biomechanics,"PhD thesisUniversity of California2008Search in Google Scholar

40 T. Kaster, I. Sack, and a Samani, "Measurement of the hyperelastic properties of ex vivo brain tissue slices," J. Biomech., vol. 44, no. 6, pp. 1158–63, 2011. http://dx.doi.org/10.1016/j.jbiomech.2011.01.01910.1016/j.jbiomech.2011.01.019KasterT.SackI.and a Samani, "Measurement of the hyperelastic properties of ex vivo brain tissue slices,"J. Biomechvol. 4461158–632011http://dx.doi.org/10.1016/j.jbiomech.2011.01.01921329927Open DOISearch in Google Scholar

41 J. J. O'Hagan and A. Samani, "Measurement of the hyperelastic properties of 44 pathological ex vivo breast tissue samples.," Phys. Med. Biol., vol. 54, no. 8, pp. 2557–69, 2009. http://dx.doi.org/10.1088/0031-9155/54/8/02010.1088/0031-9155/54/8/020O'HaganJ. J.SamaniA."Measurement of the hyperelastic properties of 44 pathological ex vivo breast tissue samples.,"Phys. Med. Biolvol. 5482557–692009http://dx.doi.org/10.1088/0031-9155/54/8/02019349660Open DOISearch in Google Scholar

42 E. Chen, J. Novakofski, K. Jenkins, and W. Brien, "Young's modulus measurements of soft tissues with application to elasticity imaging," IEEE Trans. Ultrasonics, Ferroelectrics, and Frequency Control, vol. 43, no. 1, pp. 191–194, 1996. http://dx.doi.org/10.1109/58.48447810.1109/58.484478ChenE.NovakofskiJ.JenkinsK.BrienW."Young's modulus measurements of soft tissues with application to elasticity imaging,"IEEE Trans. Ultrasonics, Ferroelectrics, and Frequency Controlvol. 431191–1941996http://dx.doi.org/10.1109/58.484478Open DOISearch in Google Scholar

43 C. U. Devi, R. S. Bharat Chandran, R. M. Vasu, and A. K. Sood, "Measurement of visco-elastic properties of breast-tissue mimicking materials using diffusing wave spectroscopy," J. Biomed. Opt., vol. 12, no. 3, p. 034035, 2007. http://dx.doi.org/10.1117/1.2743081DeviC. U.Bharat ChandranR. S.VasuR. M.SoodA. K."Measurement of visco-elastic properties of breast-tissue mimicking materials using diffusing wave spectroscopy,"J. Biomed. Optvol. 1232007http://dx.doi.org/10.1117/1.274308110.1117/1.274308117614743Search in Google Scholar

44 Y. Yang, W. Ni, and Q. Sun, "Improved Cole parameter extraction based on the least absolute deviation method," Physiol. Meas., vol. 34, no. 10, pp. 1239–1252, 2013. http://dx.doi.org/10.1088/0967-3334/34/10/123910.1088/0967-3334/34/10/1239YangY.NiW.SunQ."Improved Cole parameter extraction based on the least absolute deviation method,"Physiol. Measvol. 34101239–12522013http://dx.doi.org/10.1088/0967-3334/34/10/123924021745Open DOISearch in Google Scholar

45 K. Chen, Z. Ying, H. Zhang, and L. Zhao, "Analysis of least absolute deviation," Biometrika, vol. 95, no. 1, pp. 107–122, 2008. http://dx.doi.org/10.1093/biomet/asm08210.1093/biomet/asm082ChenK.YingZ.ZhangH.ZhaoL."Analysis of least absolute deviation,"Biometrikavol. 951107–1222008http://dx.doi.org/10.1093/biomet/asm082Open DOISearch in Google Scholar

46 W. Hayes, L. Keer, G. Herrmann, and L. Mockros, "Mathematical analysis for indentation tests of articular cartilage," J. Biomech., vol. 5, no. 5, pp. 541–551, 1972. http://dx.doi.org/10.1016/0021-9290(72)90010-310.1016/0021-9290(72)90010-3HayesW.KeerL.HerrmannG.MockrosL."Mathematical analysis for indentation tests of articular cartilage,"J. Biomechvol. 55541–5511972http://dx.doi.org/10.1016/0021-9290(72)90010-3Open DOISearch in Google Scholar

47 I. A. N. N. Sneddon, "The relation between load and penetration in the axysmmetric Boussinesq problem for a punch of arbitrary profile," Int. J. Eng. Sci., vol. 3, no. 638, pp. 47–57, 1965. http://dx.doi.org/10.1016/0020-7225(65)90019-410.1016/0020-7225(65)90019-4SneddonI. A. N. N."The relation between load and penetration in the axysmmetric Boussinesq problem for a punch of arbitrary profile,"Int. J. Eng. Scivol. 363847–571965http://dx.doi.org/10.1016/0020-7225(65)90019-4Open DOISearch in Google Scholar

48 M. Zhang, Y. P. Zheng, and A. F. T. Mak, "Estimating the effective Young's modulus of soft tissues from indentation tests—nonlinear finite element analysis of effects of friction and large deformation," Med. Eng. Phys., vol. 19, no. 6, pp. 512–517, 1997. http://dx.doi.org/10.1016/S1350-4533(97)00017-910.1016/S1350-4533(97)00017-9ZhangM.ZhengY. P.MakA. F. T."Estimating the effective Young's modulus of soft tissues from indentation tests—nonlinear finite element analysis of effects of friction and large deformation,"Med. Eng. Physvol. 196512–5171997http://dx.doi.org/10.1016/S1350-4533(97)00017-9Open DOISearch in Google Scholar

49 E. McAdams and J. Jossinet, "Tissue impedance: a historical overview," Physiol. Meas., vol. 16, pp. A1–A13, 1995. http://dx.doi.org/10.1088/0967-3334/16/3A/00110.1088/0967-3334/16/3A/001McAdamsE.JossinetJ."Tissue impedance: a historical overview,"Physiol. Measvol. 16A1–A131995http://dx.doi.org/10.1088/0967-3334/16/3A/001Open DOISearch in Google Scholar

50 Y. Konishi, T. Morimoto, Y. Kinouchi, T. Iritani, and Y. Monden, "Electrical properties of extracted rat liver tissue," Res. Exp. Med., vol. 195, pp. 183–192, 1995. http://dx.doi.org/10.1007/BF0257678710.1007/BF02576787KonishiY.MorimotoT.KinouchiY.IritaniT.MondenY."Electrical properties of extracted rat liver tissue,"Res. Exp. Medvol. 195183–1921995http://dx.doi.org/10.1007/BF025767878525068Open DOISearch in Google Scholar

51 D. Haemmerich, R. Ozkan, S. Tungjitkusolmun, J. Z. Tsai, D. M. Mahvi, S. T. Staelin, and J. G. Webster, "Changes in electrical resistivity of swine liver after occlusion and post mortem," Med. Biol. Eng. Comput., vol. 40, no. 1, pp. 29–33, 2002. http://dx.doi.org/10.1007/BF0234769210.1007/BF02347692HaemmerichD.OzkanR.TungjitkusolmunS.TsaiJ. Z.MahviD. M.StaelinS. T.WebsterJ. G."Changes in electrical resistivity of swine liver after occlusion and post mortem,"Med. Biol. Eng. Computvol. 40129–332002http://dx.doi.org/10.1007/BF0234769211954705Open DOISearch in Google Scholar

52 D. Miklavacic, N. Pavselj, and F. X. Hart, Wiley encyclopedia of biomedical engineering. 2006.MiklavacicD.PavseljN.HartF. X.Wiley encyclopedia of biomedical engineering2006Search in Google Scholar

53 J. L. Farber, K. R. Chien, and S. J. Mittnacht, "Myocardial Ischemia: the Pathogenesis of irreversible cell Injury in Ischemia," Am. J. Pathol., vol. 102, pp. 271–281, 1981.FarberJ. L.ChienK. R.MittnachtS. J."Myocardial Ischemia: the Pathogenesis of irreversible cell Injury in Ischemia,"Am. J. Patholvol. 102271–2811981Search in Google Scholar

54 Z. Demou, "Gene expression profiles in 3D tumor analogs indicate compressive strain differentially enhances metastatic potential," Ann. Biomed. Eng., vol. 38, no. 11, pp. 3509–3520, 2010. http://dx.doi.org/10.1007/s10439-010-0097-010.1007/s10439-010-0097-0DemouZ."Gene expression profiles in 3D tumor analogs indicate compressive strain differentially enhances metastatic potential,"Ann. Biomed. Engvol. 38113509–35202010http://dx.doi.org/10.1007/s10439-010-0097-020559731Open DOISearch in Google Scholar

55 H. Schwan and K. Foster, "RF-field interactions with biological systems: electrical properties and biophysical mechanisms," Proc. IEEE, vol. 68, no. 1, pp. 104–113, 1980. http://dx.doi.org/10.1109/PROC.1980.1158910.1109/PROC.1980.11589SchwanH.FosterK."RF-field interactions with biological systems: electrical properties and biophysical mechanisms,"Proc. IEEEvol. 681104–1131980http://dx.doi.org/10.1109/PROC.1980.11589Open DOISearch in Google Scholar