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Volumn 59, Issue 15, 2014, Pages 4443-4457

A microchannel flow model for soft tissue elasticity

Author keywords

biomechanics; dispersion; shear waves; viscoelasticity

Indexed keywords

BIOMECHANICS; CHANNEL FLOW; DISPERSION (WAVES); MICROCHANNELS; SHEAR WAVES; VISCOELASTICITY;

EID: 84905581019     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/59/15/4443     Document Type: Article
Times cited : (53)

References (63)
  • 2
    • 0020765202 scopus 로고
    • Theoretical basis for the application of fractional calculus to viscoelasticity
    • DOI 10.1122/1.549724
    • Bagley R L and Torvik P J 1983 A theoretical basis for the application of fractional calculus to viscoelasticity J. Rheology 27 201-10 (Pubitemid 13540406)
    • (1983) Journal of Rheology , vol.27 , Issue.3 , pp. 201-210
    • Bagley, R.L.1    Torvik, P.J.2
  • 3
    • 10444241032 scopus 로고    scopus 로고
    • The role of viscosity in the impulse diffraction field of elastic waves induced by the acoustic radiation force
    • 10.1109/TUFFC.2004.1367494
    • Bercoff J, Tanter M, Muller M and Fink M 2004 The role of viscosity in the impulse diffraction field of elastic waves induced by the acoustic radiation force IEEE Trans. Ultrason Ferr. 51 1523-36
    • (2004) IEEE Trans. Ultrason Ferr. , vol.51 , pp. 1523-1536
    • Bercoff, J.1    Tanter, M.2    Muller, M.3    Fink, M.4
  • 4
    • 33645979068 scopus 로고    scopus 로고
    • Towards an acoustic model-based poroelastic imaging method: I. Theoretical foundation
    • 10.1016/j.ultrasmedbio.2006.01.003 0301-5629
    • Berry G P, Bamber J C, Armstrong C G, Miller N R and Barbone P E 2006 Towards an acoustic model-based poroelastic imaging method: I. Theoretical foundation Ultrasound Med. Biol. 32 547-67
    • (2006) Ultrasound Med. Biol. , vol.32 , pp. 547-567
    • Berry, G.P.1    Bamber, J.C.2    Armstrong, C.G.3    Miller, N.R.4    Barbone, P.E.5
  • 5
    • 0345643551 scopus 로고
    • General theory of three-dimensional consolidation
    • 10.1063/1.1712886
    • Biot M A 1941 General theory of three-dimensional consolidation J. Appl. Phys. 12 155-64
    • (1941) J. Appl. Phys. , vol.12 , pp. 155-164
    • Biot, M.A.1
  • 6
    • 36849137954 scopus 로고
    • Mechanics of deformation and acoustic propagation in porous media
    • 10.1063/1.1728759
    • Biot M A 1962 Mechanics of deformation and acoustic propagation in porous media J. Appl. Phys. 33 1482-98
    • (1962) J. Appl. Phys. , vol.33 , pp. 1482-1498
    • Biot, M.A.1
  • 9
    • 84977255207 scopus 로고
    • Linear models of dissipation whose q is almost frequency dependent-II
    • 10.1111/j.1365-246X.1967.tb02303.x
    • Caputo M 1967 Linear models of dissipation whose q is almost frequency dependent-II Geophys. J. R. Astr. Soc. 13 529-39
    • (1967) Geophys. J. R. Astr. Soc. , vol.13 , pp. 529-539
    • Caputo, M.1
  • 10
    • 84896880176 scopus 로고    scopus 로고
    • Physical models of tissue in shear fields
    • 10.1016/j.ultrasmedbio.2013.11.001 0301-5629
    • Carstensen E L and Parker K J 2014 Physical models of tissue in shear fields Ultrasound Med. Biol. 40 655-74
    • (2014) Ultrasound Med. Biol. , vol.40 , pp. 655-674
    • Carstensen, E.L.1    Parker, K.J.2
  • 12
    • 0034845361 scopus 로고    scopus 로고
    • Estimation of viscoelastic shear properties of vocal-fold tissues based on time-temperature superposition
    • DOI 10.1121/1.1387094
    • Chan R W 2001 Estimation of viscoelastic properties of vocal-fold tissues based on time-temperature superposition J. Acoust. Soc. Am. 110 1548-61 (Pubitemid 32834899)
    • (2001) Journal of the Acoustical Society of America , vol.110 , Issue.3 , pp. 1548-1561
    • Chan, R.W.1
  • 13
    • 2942672243 scopus 로고    scopus 로고
    • Quantifying elasticity and viscosity from measurement of shear wave speed dispersion
    • DOI 10.1121/1.1739480
    • Chen S, Fatemi M and Greenleaf J F 2004 Quantifying elasticity and viscosity from measurement of shear wave speed dispersion J Acoust Soc Am 115 2781-5 (Pubitemid 38781209)
    • (2004) Journal of the Acoustical Society of America , vol.115 , Issue.6 , pp. 2781-2785
    • Chen, S.1    Fatemi, M.2    Greenleaf, J.F.3
  • 15
    • 84874324667 scopus 로고    scopus 로고
    • Assessment of liver viscoelasticity by using shear waves induced by ultrasound radiation force
    • 10.1148/radiol.12120837
    • Chen S G et al 2013a Assessment of liver viscoelasticity by using shear waves induced by ultrasound radiation force Radiology 266 964-70
    • (2013) Radiology , vol.266 , pp. 964-970
    • Chen, S.G.1
  • 16
    • 0242693197 scopus 로고    scopus 로고
    • Modified Szabo's wave equation models for lossy media obeying frequency power law
    • DOI 10.1121/1.1621392
    • Chen W and Holm S 2003 Modified Szabo's wave equation models for lossy media obeying frequency power law J Acoust Soc Am 114 2570-4 (Pubitemid 37371615)
    • (2003) Journal of the Acoustical Society of America , vol.114 , Issue.5 , pp. 2570-2574
    • Chen, W.1    Holm, S.2
  • 17
    • 84884533645 scopus 로고    scopus 로고
    • Quantification of liver viscoelasticity with acoustic radiation force: A study of hepatic fibrosis in a rat model
    • 10.1016/j.ultrasmedbio.2013.05.020 0301-5629
    • Chen X, Shen Y Y, Zheng Y, Lin H M, Guo Y R, Zhu Y, Zhang X Y, Wang T F and Chen S P 2013b Quantification of liver viscoelasticity with acoustic radiation force: a study of hepatic fibrosis in a rat model Ultrasound Med. Biol. 39 2091-102
    • (2013) Ultrasound Med. Biol. , vol.39 , Issue.11 , pp. 2091-2102
    • Chen, X.1    Shen, Y.Y.2    Zheng, Y.3    Lin, H.M.4    Guo, Y.R.5    Zhu, Y.6    Zhang, X.Y.7    Wang, T.F.8    Chen, S.P.9
  • 18
    • 33751513742 scopus 로고    scopus 로고
    • Unconfined compression of white matter
    • DOI 10.1016/j.jbiomech.2005.11.004, PII S002192900500521X
    • Cheng S and Bilston L E 2007 Unconfined compression of white matter J. Biomech. 40 117-24 (Pubitemid 44838692)
    • (2007) Journal of Biomechanics , vol.40 , Issue.1 , pp. 117-124
    • Cheng, S.1    Bilston, L.E.2
  • 19
    • 0030121526 scopus 로고    scopus 로고
    • Highlights in the historical development of the porous media theory: Toward a consistent macroscopic theory
    • 10.1115/1.3101926
    • de Boer R 1996 Highlights in the historical development of the porous media theory: toward a consistent macroscopic theory Appl. Mech. Rev. 49 201-62
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 201-262
    • De Boer, R.1
  • 20
    • 0032025901 scopus 로고    scopus 로고
    • Toward realistic soft-tissue modeling in medical simulation
    • PII S0018921998017289
    • Delingette H 1998 Toward realistic soft-tissue modeling in medical simulation P. IEEE 86 512-23 (Pubitemid 128720214)
    • (1998) Proceedings of the IEEE , vol.86 , Issue.3 , pp. 512-523
    • Delingette, H.1
  • 21
    • 78149478584 scopus 로고    scopus 로고
    • The performance of steady-state harmonic magnetic resonance elastography when applied to viscoelastic materials
    • 10.1118/1.3454738 0094-2405
    • Doyley M M, Perreard I, Patterson A J, Weaver J B and Paulsen K M 2010 The performance of steady-state harmonic magnetic resonance elastography when applied to viscoelastic materials Med. Phys. 38 3970-9 (PMID: 20879559)
    • (2010) Med. Phys. , vol.37 , Issue.8 , pp. 3970-3979
    • Doyley, M.M.1    Perreard, I.2    Patterson, A.J.3    Weaver, J.B.4    Paulsen, K.M.5
  • 22
    • 0034790874 scopus 로고    scopus 로고
    • A linear viscoelastic biphasic model for soft tissues based on the theory of porous media
    • DOI 10.1115/1.1388292
    • Ehlers W and Markert B 2001 A linear viscoelastic biphasic model for soft tissues based on the theory of porous media J. Biomech. Eng-T ASME 123 418-24 (Pubitemid 32938939)
    • (2001) Journal of Biomechanical Engineering , vol.123 , Issue.5 , pp. 418-424
    • Ehlers, W.1    Markert, B.2
  • 24
    • 0031303218 scopus 로고    scopus 로고
    • Fractal characteristics of tumor vascular architecture during tumor growth and regression
    • Gazit Y, Baish J W, Safabakhsh N, Leunig M, Baxter L T and Jain R K 1997 Fractal characteristics of tumor vascular architecture during tumor growth and regression Microcirculation 4 395-402 (Pubitemid 127675113)
    • (1997) Microcirculation , vol.4 , Issue.4 , pp. 395-402
    • Gazit, Y.1    Baish, J.W.2    Safabakhsh, N.3    Leunig, M.4    Baxter, L.T.5    Jain, R.K.6
  • 25
    • 33749512588 scopus 로고    scopus 로고
    • Assessment by transient elastography of the viscoelastic properties of blood during clotting
    • DOI 10.1016/j.ultrasmedbio.2006.06.008, PII S0301562906016802
    • Gennisson J L, Lerouge S and Cloutier G 2006 Assessment by transient elastography of the viscoelastic properties of blood during clotting Ultrasound Med. Biol. 32 1529-37 (Pubitemid 44528112)
    • (2006) Ultrasound in Medicine and Biology , vol.32 , Issue.10 , pp. 1529-1537
    • Gennisson, J.-L.1    Lerouge, S.2    Cloutier, G.3
  • 26
    • 65349173033 scopus 로고    scopus 로고
    • Propagation of shear waves generated by a modulated finite amplitude radiation force in a viscoelastic medium
    • 10.1109/TUFFC.2009.1074
    • Giannoula A and Cobbold R S C 2009 Propagation of shear waves generated by a modulated finite amplitude radiation force in a viscoelastic medium IEEE Trans. Ultrason Ferr. 56 575-88
    • (2009) IEEE Trans. Ultrason Ferr. , vol.56 , pp. 575-588
    • Giannoula, A.1    Cobbold, R.S.C.2
  • 28
    • 0000171834 scopus 로고    scopus 로고
    • Viscous behavior and mixing rules for an immiscible model polymer blend
    • 10.1122/1.551073 0148-6055
    • Grizzuti N, Buonocore G and Iorio G 2000 Viscous behavior and mixing rules for an immiscible model polymer blend J. Rheology 44 149-64
    • (2000) J. Rheology , vol.44 , pp. 149-164
    • Grizzuti, N.1    Buonocore, G.2    Iorio, G.3
  • 29
    • 84896698029 scopus 로고    scopus 로고
    • Comparison of fractional wave equations for power law attenuation in ultrasound and elastography
    • 10.1016/j.ultrasmedbio.2013.09.033 0301-5629
    • Holm S and Nasholm S P 2014 Comparison of fractional wave equations for power law attenuation in ultrasound and elastography Ultrasound Med. Biol. 40 695-703
    • (2014) Ultrasound Med. Biol. , vol.40 , pp. 695-703
    • Holm, S.1    Nasholm, S.P.2
  • 30
    • 84881476716 scopus 로고    scopus 로고
    • Deriving fractional acoustic wave equations from mechanical and thermal constitutive equations
    • 10.1016/j.camwa.2013.02.024
    • Holm S, Näsholm S P, Prieur F and Sinkus R 2013 Deriving fractional acoustic wave equations from mechanical and thermal constitutive equations Comput. Math. Appl. 66 621-9
    • (2013) Comput. Math. Appl. , vol.66 , pp. 621-629
    • Holm, S.1    Näsholm, S.P.2    Prieur, F.3    Sinkus, R.4
  • 32
    • 4644264534 scopus 로고    scopus 로고
    • Viscoelastic characterization of in vitro canine tissue
    • DOI 10.1088/0031-9155/49/18/002, PII S0031915504752975
    • Kiss M Z, Varghese T and Hall T J 2004 Viscoelastic characterization of in vitro canine tissue Phys. Med. Biol. 49 4207-18 (Pubitemid 39302683)
    • (2004) Physics in Medicine and Biology , vol.49 , Issue.18 , pp. 4207-4218
    • Kiss, M.Z.1    Varghese, T.2    Hall, T.J.3
  • 33
    • 0021440218 scopus 로고
    • Applications of fractional calculus to the theory of viscoelasticity
    • Koeller R C 1984 Applications of fractional calculus to the theory of viscoelasticity J. Appl. Mech-T ASME 51 299-307 (Pubitemid 14583151)
    • (1984) Journal of Applied Mechanics, Transactions ASME , vol.51 , Issue.2 , pp. 299-307
    • Koeller, R.C.1
  • 34
    • 0035669613 scopus 로고    scopus 로고
    • Poroelastography: Imaging the poroelastic properties of tissues
    • DOI 10.1016/S0301-5629(01)00433-1, PII S0301562901004331
    • Konofagou E E, Harrigan T P, Ophir J and Krouskop T A 2001 Poroelastography: imaging the poroelastic properties of tissues Ultrasound Med. Biol. 27 1387-97 (Pubitemid 34048352)
    • (2001) Ultrasound in Medicine and Biology , vol.27 , Issue.10 , pp. 1387-1397
    • Konofagou, E.E.1    Harrigan, T.P.2    Ophir, J.3    Krouskop, T.A.4
  • 35
    • 0033854109 scopus 로고    scopus 로고
    • On the viscoelastic character of liver tissue: Experiments and modelling of the linear behaviour
    • Liu Z and Bilston L 2000 On the viscoelastic character of liver tissue: experiments and modelling of the linear behaviour Biorheology 37 191-201 (Pubitemid 30624462)
    • (2000) Biorheology , vol.37 , Issue.3 , pp. 191-201
    • Liu, Z.1    Bilston, L.2
  • 36
    • 30244460855 scopus 로고    scopus 로고
    • The fundamental solutions for the fractional diffusion-wave equation
    • DOI 10.1016/0893-9659(96)00089-4, PII S0893965996000894
    • Mainardi F 1996 The fundamental solutions for the fractional diffusion-wave equation Appl Math Lett 9 23-8 (Pubitemid 126365654)
    • (1996) Applied Mathematics Letters , vol.9 , Issue.6 , pp. 23-28
    • Mainardi, F.1
  • 37
    • 0022446544 scopus 로고
    • Unconfined compression of hydrated viscoelastic tissues: A biphasic poroviscoelastic analysis
    • Mak A F 1986 Unconfined compression of hydrated viscoelastic tissues: a biphasic poroviscoelastic analysis Biorheology 23 371-83 (PMID: 3779062) (Pubitemid 16010134)
    • (1986) Biorheology , vol.23 , Issue.4 , pp. 371-383
    • Mak, A.F.1
  • 38
    • 0031279749 scopus 로고    scopus 로고
    • Constitutive modelling of brain tissue: Experiment and theory
    • DOI 10.1016/S0021-9290(97)00092-4, PII S0021929097000924
    • Miller K and Chinzei K 1997 Constitutive modelling of brain tissue: experiment and theory J. Biomech. 30 1115-21 (Pubitemid 28026501)
    • (1997) Journal of Biomechanics , vol.30 , Issue.11-12 , pp. 1115-1121
    • Miller, K.1    Chinzei, K.2
  • 39
    • 0021227289 scopus 로고
    • Fluid transport and mechanical properties of articular cartilage: A review
    • Mow V C, Holmes M H and Lai W M 1984 Fluid transport and mechanical properties of articular cartilage: a review J. Biomech. 17 377-94 (Pubitemid 14099245)
    • (1984) Journal of Biomechanics , vol.17 , Issue.5 , pp. 377-394
    • Mow, V.C.1    Holmes, M.H.2    Lai, W.M.3
  • 40
    • 0018983548 scopus 로고
    • Biphasic creep and stress relaxation of articular cartilage in compression: Theory and experiments
    • Mow V C, Kuei S C, Lai W M and Armstrong C G 1980 Biphasic creep and stress relaxation of articular cartilage in compression? Theory and experiments J. Biomech. Eng. 102 73-84 (Pubitemid 11082099)
    • (1980) Journal of Biomechanical Engineering , vol.102 , Issue.1 , pp. 73-84
    • Mow, V.C.1    Kuei, S.C.2    Lai, W.M.3    Armstrong, C.G.4
  • 41
    • 79953320304 scopus 로고    scopus 로고
    • Imaging the elastic properties of tissue: The 20 year perspective
    • 0031-9155 R01
    • Parker K J, Doyley M M and Rubens D J 2011 Imaging the elastic properties of tissue: the 20 year perspective Phys. Med. Biol. 56 R1-R29
    • (2011) Phys. Med. Biol. , vol.56 , Issue.1
    • Parker, K.J.1    Doyley, M.M.2    Rubens, D.J.3
  • 43
    • 77749291785 scopus 로고    scopus 로고
    • Magnetic resonance poroelastography: An algorithm for estimating the mechanical properties of fluid-saturated soft tissues
    • 10.1109/TMI.2009.2035309 0278-0062
    • Perrinez P R, Kennedy F E, Van Houton E E W, Weaver J B and Paulsen K D 2010 Magnetic resonance poroelastography: an algorithm for estimating the mechanical properties of fluid-saturated soft tissues IEEE Trans. Med. Imaging 29 746-55
    • (2010) IEEE Trans. Med. Imaging , vol.29 , Issue.3 , pp. 746-755
    • Perrinez, P.R.1    Kennedy, F.E.2    Van Houton, E.E.W.3    Weaver, J.B.4    Paulsen, K.D.5
  • 44
    • 1442274892 scopus 로고    scopus 로고
    • The feasibility of using elastography for imaging the Poisson's ratio in porous media
    • DOI 10.1016/j.ultrasmedbio.2003.10.022, PII S0301562903011670
    • Righetti R, Ophir J, Srinivasan S and Krouskop T A 2004 The feasibility of using elastography for imaging the Poisson's ratio in porous media Ultrasound Med. Biol. 30 215-28 (Pubitemid 38293274)
    • (2004) Ultrasound in Medicine and Biology , vol.30 , Issue.2 , pp. 215-228
    • Righetti, R.1    Ophir, J.2    Srinivasan, S.3    Krouskop, T.A.4
  • 45
    • 34248993272 scopus 로고    scopus 로고
    • The feasibility of estimating and imaging the mechanical behavior of poroelastic materials using axial strain elastography
    • DOI 10.1088/0031-9155/52/11/020, PII S0031915507395778, 020
    • Righetti R, Righetti M, Ophir J and Krouskop T A 2007 The feasibility of estimating and imaging the mechanical behavior of poroelastic materials using axial strain elastography Phys. Med. Biol. 52 3241-59 (Pubitemid 46795258)
    • (2007) Physics in Medicine and Biology , vol.52 , Issue.11 , pp. 3241-3259
    • Righetti, R.1    Righetti, M.2    Ophir, J.3    Krouskop, T.A.4
  • 48
    • 34247476453 scopus 로고    scopus 로고
    • Elastic moduli of normal and pathological human breast tissues: An inversion-technique-based investigation of 169 samples
    • DOI 10.1088/0031-9155/52/6/002, PII S0031915507280649, 002
    • Samani A, Zubovits J and Plewes D 2007 Elastic moduli of normal and pathological human breast tissues: an inversion-technique-based investigation of 169 samples Phys. Med. Biol. 52 1565-76 (Pubitemid 46646367)
    • (2007) Physics in Medicine and Biology , vol.52 , Issue.6 , pp. 1565-1576
    • Samani, A.1    Zubovits, J.2    Plewes, D.3
  • 50
    • 0028200287 scopus 로고
    • Lung tissue viscoelasticity: A mathematical framework and its molecular basis
    • Suki B, Barabasi A L and Lutchen K R 1994 Lung-tissue viscoelasticity: a mathematical framework and its molecular basis J. Appl. Physiol. 76 2749-59 (http://jap.physiology.org/content/76/6/2749) (Pubitemid 24184805)
    • (1994) Journal of Applied Physiology , vol.76 , Issue.6 , pp. 2749-2759
    • Suki, B.1    Barabasi, A.-L.2    Lutchen, K.R.3
  • 51
    • 1842530332 scopus 로고    scopus 로고
    • Frequency-domain wave equation and its time-domain solutions in attenuating media
    • DOI 10.1121/1.1675817
    • Sushilov N V and Cobbold R S C 2004 Frequency-domain wave equation and its time-domain solutions in attenuating media J. Acoust. Soc. Am. 115 1431-6 (Pubitemid 38451296)
    • (2004) Journal of the Acoustical Society of America , vol.115 , Issue.4 , pp. 1431-1436
    • Sushilov, N.V.1    Cobbold, R.S.C.2
  • 52
    • 0001870386 scopus 로고
    • The history of Poiseuille's law
    • 10.1146/annurev.fl.25.010193.000245
    • Sutera S P 1993 The history of Poiseuille's law Annu. Rev. Fluid. Mech. 25 1-19
    • (1993) Annu. Rev. Fluid. Mech. , vol.25 , pp. 1-19
    • Sutera, S.P.1
  • 53
    • 35148812430 scopus 로고    scopus 로고
    • Interstitial flow and its effects in soft tissues
    • DOI 10.1146/annurev.bioeng.9.060906.151850
    • Swartz M A and Fleury M E 2007 Interstitial flow and its effects in soft tissue Annu. Rev. Biomed. Eng. 9 229-56 (Pubitemid 350246657)
    • (2007) Annual Review of Biomedical Engineering , vol.9 , pp. 229-256
    • Swartz, M.A.1    Fleury, M.E.2
  • 54
    • 0028292355 scopus 로고
    • Time domain wave equations for lossy media obeying a frequency power law
    • DOI 10.1121/1.410434
    • Szabo T L 1994 Time domain wave equations for lossy media obeying a frequency power-law J. Acoust. Soc. Am. 96 491-500 (Pubitemid 24209147)
    • (1994) Journal of the Acoustical Society of America , vol.96 , Issue.1 , pp. 491-500
    • Szabo, T.L.1
  • 55
    • 0028976328 scopus 로고
    • Causal theories and data for acoustic attenuation obeying a frequency power-law
    • 10.1121/1.412332
    • Szabo T L 1995 Causal theories and data for acoustic attenuation obeying a frequency power-law J. Acoust. Soc. Am. 97 14-24
    • (1995) J. Acoust. Soc. Am. , vol.97 , pp. 14-24
    • Szabo, T.L.1
  • 56
    • 0034071987 scopus 로고    scopus 로고
    • A model for longitudinal and shear wave propagation in viscoelastic media
    • DOI 10.1121/1.428630
    • Szabo T L and Wu J 2000 A model for longitudinal and shear wave propagation in viscoelastic media J. Acoust. Soc. Am. 107 2437-46 (Pubitemid 30304890)
    • (2000) Journal of the Acoustical Society of America , vol.107 , Issue.5 , pp. 2437-2446
    • Szabo, T.L.1    Wu, J.2
  • 57
    • 84905564594 scopus 로고    scopus 로고
    • Three-dimensional sonoelastography: Principles and practices with applications to tumor visualization and volume estimation
    • Taylor L S 2002 Three-dimensional sonoelastography: principles and practices with applications to tumor visualization and volume estimation Electrical & Computer Engineering (Rochester, NY: University of Rochester)
    • (2002) Electrical & Computer Engineering
    • Taylor, L.S.1
  • 60
    • 0003903942 scopus 로고
    • Paul D.R., Newman S.
    • Van Oene H 1978 Polymer Blends ed D R Paul and S Newman (New York: Academic) pp 295-352
    • (1978) Polymer Blends , pp. 295-352
    • Van Oene, H.1
  • 61
    • 0034043279 scopus 로고    scopus 로고
    • A method of imaging viscoelastic parameters with acoustic radiation force
    • DOI 10.1088/0031-9155/45/6/303, PII S0031915500070974
    • Walker W F, Fernandez F J and Negron L A 2000 A method of imaging viscoelastic parameters with acoustic radiation force Phys. Med. Biol. 45 1437-47 (Pubitemid 30408910)
    • (2000) Physics in Medicine and Biology , vol.45 , Issue.6 , pp. 1437-1447
    • Walker, W.F.1    Fernandez, F.J.2    Negron, L.A.3
  • 62
    • 0033522952 scopus 로고    scopus 로고
    • The fourth dimension of life: Fractal geometry and allometric scaling of organisms
    • DOI 10.1126/science.284.5420.1677
    • West G B, Brown J H and Enquist B J 1999 The fourth dimension of life: fractal geometry and allometric scaling of organisms Science 284 1677-9 (Pubitemid 29291379)
    • (1999) Science , vol.284 , Issue.5420 , pp. 1677-1679
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 63
    • 34548829656 scopus 로고    scopus 로고
    • Congruence of Imaging Estimators and Mechanical Measurements of Viscoelastic Properties of Soft Tissues
    • DOI 10.1016/j.ultrasmedbio.2007.04.012, PII S0301562907002116
    • Zhang M, Castaneda B, Wu Z, Nigwekar P, Joseph J V, Rubens D J and Parker K J 2007 Congruence of imaging estimators and mechanical measurements of viscoelastic properties of soft tissues Ultrasound Med. Biol. 33 1617-31 (Pubitemid 47444483)
    • (2007) Ultrasound in Medicine and Biology , vol.33 , Issue.10 , pp. 1617-1631
    • Zhang, M.1    Castaneda, B.2    Wu, Z.3    Nigwekar, P.4    Joseph, J.V.5    Rubens, D.J.6    Parker, K.J.7


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