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High frequency ultrasound assesses transient changes in cartilage under osmotic loading

  • Received: 14 May 2020 Accepted: 16 July 2020 Published: 03 August 2020
  • High-frequency ultrasound is used in this study to measure noninvasively, by means of osmotic loading, changes in speed of sound and cartilage thickness caused by variations of the salt concentration in the external bath. Articular cartilage comprises three main structural components: Water, collagen fibrils and proteoglycan macromolecules carrying negative charges. The negatively charged groups of proteoglycans attract cations and water into tissue and govern its shrinkage/swelling behavior, which is a fundamental mechano-electrochemical function of cartilage tissue. In this study, the mechano-electrochemical behavior of cartilage is modeled by a diffusion model. The proposed model enables simulations of cartilage osmotic loading under various parameter settings and allows to quantify cartilage mechanical properties. This theoretical model is derived from the kinetic theory of diffusion. The objectives of the study are to quantify time dependent changes in cartilage thickness, and in speed of sound within tissue with help of the finite element based simulations and data from experiments. Experimental data are obtained from fresh and trypsinized ovine patella samples. Results show that the proposed diffusion model is capable to describe transient osmotic loading of cartilage. Mean values and their deviations of the relative changes of cartilage characteristics in response to chemical loading are presented.

    Citation: Jana Zatloukalova, Kay Raum. High frequency ultrasound assesses transient changes in cartilage under osmotic loading[J]. Mathematical Biosciences and Engineering, 2020, 17(5): 5190-5211. doi: 10.3934/mbe.2020281

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  • High-frequency ultrasound is used in this study to measure noninvasively, by means of osmotic loading, changes in speed of sound and cartilage thickness caused by variations of the salt concentration in the external bath. Articular cartilage comprises three main structural components: Water, collagen fibrils and proteoglycan macromolecules carrying negative charges. The negatively charged groups of proteoglycans attract cations and water into tissue and govern its shrinkage/swelling behavior, which is a fundamental mechano-electrochemical function of cartilage tissue. In this study, the mechano-electrochemical behavior of cartilage is modeled by a diffusion model. The proposed model enables simulations of cartilage osmotic loading under various parameter settings and allows to quantify cartilage mechanical properties. This theoretical model is derived from the kinetic theory of diffusion. The objectives of the study are to quantify time dependent changes in cartilage thickness, and in speed of sound within tissue with help of the finite element based simulations and data from experiments. Experimental data are obtained from fresh and trypsinized ovine patella samples. Results show that the proposed diffusion model is capable to describe transient osmotic loading of cartilage. Mean values and their deviations of the relative changes of cartilage characteristics in response to chemical loading are presented.


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    [1] S. R. Eisenberg, A. J. Grodzinsky, Swelling of articular cartilage and other connective tissues: Electromechanochemical forces, J. Orthop. Res., 3 (1985), 148-159.
    [2] V. C. Mow, J. M. Schoonbeck, Contribution of donnan osmotic pressure towards the biphasic compressive modulus of articular cartilage, Trans. Orthop. Res. Soc., 9 (1984), 262.
    [3] A. Maroudas, Physicochemical properties of articular cartilage, Adult Articular Cartilage, (1979), 215-290.
    [4] A. Maroudas, J. Mizrahi, E. P. Katz, E. J. Wachte, M. Soudry, Physicochemical properties and functional behavior of normal and osteoarthritic human cartilage, Articular Cartilage Biochem., (1986) 311-329.
    [5] D. A. Narmoneva, J. Y. Wang, L. A. Setton, Nonuniform swelling-induced residual strains in articular cartilage, J. Biomech., 32 (1999), 401-408.
    [6] D. A. Narmoneva, J. Y. Wang, L. A. Setton, A noncontacting method for material property determination for articular cartilage from osmotic loading, Biophy. J., 81 (2001), 3066-3076.
    [7] C. M. Flahiff, D. A. Narmoneva, J. L. Huebner, V. B. Kraus, F. Guilak, L. A. Setton, Osmotic loading to determine the intrinsic material properties of guinea pig knee cartilage, J. Biomech., 35 (2002), 1285-1290.
    [8] C. M. Flahiff, V. B. Kraus, J. L. Huebner, L. A. Setton, Cartilage mechanics in the guinea pig model of osteoarthritis studied with an osmotic loading method, Osteoarthritis Cartilage, 12 (2004), 383-388.
    [9] C. C. B. Wang, X. E. Guo, D. Sun, V. C. Mow, G. A. Ateshian, C. T. Hung, The functional environment of chondrocytes within cartilage subjected to compressive loading: A theoretical and experimental approach, Biorheology, 39 (2002), 11-25.
    [10] W. M. Lai, J. S. Hou, V. C. Mow, A triphasic theory for the swelling and deformation behaviors of articular cartilage, J. Biomech. Eng., 113 (1991), 245-258.
    [11] V. C. Mow, G. A. Ateshian, W. M. Lai, W. Y. Gu, Effects of fixed charges on the stress - relaxation behavior of hydrated soft tissues in a confined compression problem, J. Solids Struct., 35 (1998), 4945-4962.
    [12] L. Qin, Y. Zheng, C. Leung, A. Mak, W. Choy, K. Chan, Ultrasound detection of trypsin-treated articular cartilage: its association with cartilaginous proteoglycans assessed by histological and biochemical methods, J. Bone Miner. Metab., 20 (2002), 281-287.
    [13] J. Töyräs, M. S. Laasanen, S. Saarakkala, M. J. Lammi, J. Rieppo, J. Kurkijärvi, et al., Speed of sound in normal and degenerated bovine articular cartilage, Ultrasound Med. Biol., 29 (2003) 447-454.
    [14] Y. P. Zheng, J. Shi, L. Qin, S. G. Patil, V. C. Mow, K. Y. Zhou, Dynamic depth-dependent osmotic swelling and solute diffusion in articular cartilage monitored using real-time ultrasound, Ultrasound Med. Biol., 30 (2004), 841-849.
    [15] Y. P. Zheng, M. H. Lu, Q. Wang, Ultrasound elastomicroscopy using water jet and osmosis loading: Potentials for assessment for articular cartilage, Ultrasonics, 44 (2006), e203-e209.
    [16] Q. Wang, Y. P. Zheng, G. Leung, W. L. Lam, X. Guo, H. B. Lu, et al., Altered osmotic swelling behavior of proteoglycan-depleted bovine articular cartilage using high frequency ultrasound, Phys. Med. Biol., 53 (2008), 2537-2552.
    [17] Q. Wang, Y. P. Zheng, H. J. Niu, A. F. T. Mak, Extraction of mechanical properties of articular cartilage from osmotic swelling behavior monitored using high frequency ultrasound, J. Biomech. Eng., 129 (2007), 413-422.
    [18] Q. Wang, Y. P. Zheng, Non-contact evaluation of osmosis-induced shrinkage and swelling behavior of articular cartilage in situ using high-frequency ultrasound, Instrum. Sci. Tech., 34 (2006), 317- 334.
    [19] Q. Wang, Y. Y. Yang, H. J. Niu, W. J. Zhang, Q. J. Feng, W. F. Chen, An ultrasound study of altered hydration behaviour of proteoglycan-degraded articular cartilage, BMC Musculoskeletal Disord., 14:289 (2013), 1-7.
    [20] V. C. Mow, S. C. Kuei, W. M. Lai, C. G. Armstrong, Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments, ASME J. Biomech. Eng., 102 (1980), 73-84.
    [21] M. A. Biot, General theory of three-dimensional consolidation, J. Appl. Phys., 12 (1941), 155-164.
    [22] C. Truesdell, Thermodynamics of diffusion, in Rational Thermodynamics, Springer, New York, 1985.
    [23] R. M. Bowen, Incompressible porous media models by use of the theory of mixtures, Int. J. Eng. Sci., 18 (1980), 1129-1148.
    [24] A. Maroudas, Biophysical chemistry of cartilaginous tissues with special reference to solute and fluid transport, Biorheology, 12 (1975), 233-248.
    [25] R. Chang, L. J. Kaplan, The donnan equilibrium and osmotic pressure, J. Chem. Edu., 54 (1977), 218-219.
    [26] W. M. Lai, W. Y. Gu, V. C. Mow, Flows of electrolytes through charged hydrated biological tissue, Appl. Mech. Rev., 47 (1994), 277-281.
    [27] J. M. Mansour, V. C. Mow, The permeability of articular cartilage under compressive strain and at high pressures, J. Bone Jt. Surg., 58 (1976), 509-516.
    [28] W. Y. Gu, W. M. Lai, V. C. Mow, A triphasic analysis of negative osmotic flows through charged hydrated soft tissues, J. Biomech., 30 (1997), 71-78.
    [29] W. M. Lai, W. Y. Gu, V. C. Mow, On the conditional equivalence of chemical loading and mechanical loading on articular cartilage, J. Biomech., 31 (1998), 1181-1185.
    [30] J. A. Buckwalter, H. J. Mankin, A. J. Grodzinsky, Articular cartilage and osteoarthritis, Instr. Course Lect., 54 (2005), 465-480.
    [31] A Dictionary of Units of Measurement, 2018. Available from: www.unc.edu/${{\rm{\tilde r}}}$owlett/units/index.html.
    [32] J. P. Paul, Loading on normal hip and knee joints replacement, in Advances in Hip and Knee Joint Technology, (eds. M. Schaldach and D. Hohmann), Springer-Verlag, Berlin, (1976), 53-77.
    [33] A. Maroudas, C. Bannon, Measurement of swelling pressure in cartilage and comparison with the osmotic pressure of constituent proteoglycans, Biorheology, 18 (1981), 619-632.
    [34] A. Maroudas, Balance between swelling pressure and collagen tension in normal and degenerate cartilage, Nature, 260 (1976), 808-809.
    [35] W. Wilson, D. Bradley, Specific volume of sea water as a function of temperature, pressure and salinity, Deep-Sea Res.,15 (1968), 355-363.
    [36] A. Abazari, R. B. Thompson, J. A. W. Eliott, L. E. McGann, Transport phenomena in articular cartilage cryopreservation as predicted by the modified triphasic model and the effect on natural inhomogeneities, Biophys. J.,102 (2012), 1284-1293.
    [37] S. G. Patil, Y. P. Zheng, J. Y. Wu, J. Shi, Measurement of depth-dependence and anisotropy of ultrasound speed of bovine articular cartilage in-vitro, Ultrasound Med. Biol., 30 (2004), 953- 963.
    [38] W. Y. Gu, W. M. Lai, V. C. Mow, A mixture theory for charged-hydrated soft tissues containing multi-electrolytes: Passive transport and swelling behaviors, J. Biomech. Eng., 120 (1998), 169- 180.
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