Fabric dependence of wave propagation in anisotropic porous media.
Current diagnosis of bone loss and osteoporosis is based on the measurement of the bone mineral density (BMD) or the apparent mass density. Unfortunately, in most clinical ultrasound densitometers: 1) measurements are often performed in a single anatomical direction, 2) only the first wave arriving to the ultrasound probe is characterized, and 3) the analysis of bone status is based on empirical relationships between measurable quantities such as speed of sound (SOS) and broadband ultrasound attenuation (BUA) and the density of the porous medium. However, the existence of a second wave in cancellous bone has been reported, which is an unequivocal signature of poroelastic media, as predicted by Biot's poroelastic wave propagation theory. In this paper, the governing equations for wave motion in the linear theory of anisotropic poroelastic materials are developed and extended to include the dependence of the constitutive relations upon fabric-a quantitative stereological measure of the degree of structural anisotropy in the pore architecture of a porous medium. This fabric-dependent anisotropic poroelastic approach is a theoretical framework to describe the microarchitectural-dependent relationship between measurable wave properties and the elastic constants of trabecular bone, and thus represents an alternative for bone quality assessment beyond BMD alone.
Cowin
Stephen C
SC
The New York Center for Biomedical Engineering, Departments of Biomedical and Mechanical Engineering, School of Engineering of The City College and Graduate School of The City University of New York, New York, NY 10031, USA. scowin@earthlink.net
Cardoso
Luis
L
D016880:Anisotropy; D001696:Biomechanical Phenomena; D001698:Biomedical Engineering; D015519:Bone Density / Q000502:physiology; D001842:Bone and Bones / Q000000981:diagnostic imaging* / Q000502:physiology*; D004548:Elasticity; D054459:Elasticity Imaging Techniques; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological; D010024:Osteoporosis / Q000175:diagnosis* / Q000000981:diagnostic imaging* / Q000503:physiopathology; D016062:Porosity
J Biomech. 1996 Dec;29(12):1653-7
8945668
Aging Clin Exp Res. 2004 Jun;16 Suppl(3):29-32
15506698
Bone. 1998 Nov;23(5):425-31
9823448
J Biomed Mater Res. 1999 Apr;45(1):48-54
10397957
Bone. 2002 Jan;30(1):178-84
11792582
Osteoporos Int. 1998;8(1):1-3
9692070
J Biomech. 1999 Mar;32(3):217-38
10093022
Bone. 2007 Jul;41(1):138-54
17481978
Eur Cell Mater. 2001 Jan 10;1:12-7
14562266
J Orthop Res. 2000 May;18(3):432-7
10937630
Ann Biomed Eng. 1999 Jul-Aug;27(4):517-24
10468236
Bone. 2007 Jan;40(1):5-8
16949900
J Bone Miner Res. 2005 Nov;20(11):2064-5
16234982
Osteoporos Int. 2001;12(1):1-15
11305077
Clin Biomech (Bristol, Avon). 1997 Jul;12(5):281-285
11415735
Curr Opin Rheumatol. 1996 Jul;8(4):370-5
8864591
J Biomech. 1991;24(2):127-36
2037612
J Biomed Mater Res. 1999 Feb;44(2):191-7
10397920
J Biomech. 1997 May;30(5):487-95
9109560
J Orthop Res. 1998 Jan;16(1):23-8
9565069
Bone. 1995 Oct;17(4):435
8573419
Microvasc Res. 1987 Nov;34(3):302-10
2448591
J Bone Miner Res. 2004 Jun;19(6):924-30
15125791
J Orthop Res. 2002 Jan;20(1):151-8
11853082
J Bone Miner Res. 1999 Jul;14(7):1167-74
10404017
J Biomech. 2004 Feb;37(2):189-96
14706321
J Biomech. 1997 Nov-Dec;30(11-12):1191-3
9456391
J Biomech Eng. 2002 Oct;124(5):521-6
12405594
Bone. 2000 Feb;26(2):103-9
10678403
J Elast. 1998-9;53(2):125-46
11543211
J Biomech. 2001 Sep;34(9):1197-202
11506790
J Anat. 1974 Dec;118(Pt 3):417-44
4452648
Eur Radiol. 2002 Feb;12(2):401-8
11870442
Biomech Model Mechanobiol. 2008 Feb;7(1):27-42
17235622
Int J Fertil Womens Med. 2005 Mar-Apr;50(2):61-6
16334412
Bone. 2005 Mar;36(3):387-98
15777673
J Bone Miner Res. 2003 Oct;18(10):1803-12
14584891
Bone. 1997 Apr;20(4):315-28
9108351
J Microsc. 1974 Jul;101(Pt 2):153-68
4610138
J Acoust Soc Am. 1992 Feb;91(2):1106-12
1556311
Clin Rheumatol. 2000;19(3):174-83
10870649
Biomaterials. 1997 Oct;18(20):1325-30
9363331
J Biomech. 1999 Oct;32(10):1005-12
10476838
J Biomech. 1999 Apr;32(4):437-41
10213035
J Clin Invest. 1983 Oct;72(4):1396-409
6630513
Mech Mater. 2012 Nov;54:70-83
23467780
J Acoust Soc Am. 2008 Oct;124(4):EL210-7
19062788
J Orthop Res. 2000 Jul;18(4):671-7
11052505
J Biomech. 1990;23(6):549-61
2341418
J Biomech. 1997 Jul;30(7):743-5
9239556
Osteoporos Int. 2002 Aug;13(8):613-7
12181618
J Clin Pathol. 1994 Jun;47(6):529-34
8063935
Med Eng Phys. 1997 Dec;19(8):729-37
9450257
J Biomech. 2003 Jul;36(7):897-904
12757797
J Orthop Sci. 2007 Mar;12(2):141-8
17393269
J Biomech Eng. 1986 Feb;108(1):83-8
3959556
J Biomech. 1988;21(3):177-81
3379077
Calcif Tissue Int. 1995 Dec;57(6):469
8581882
J Acoust Soc Am. 1998 May;103(5 Pt 1):2718-22
9604363
J Acoust Soc Am. 1997 Jan;101(1):558-62
9000743
Bone. 2000 Jun;26(6):603-9
10831932