High frequency ultrasound assesses transient changes in cartilage under osmotic loading

Jana Zatloukalova; Kay Raum; Jana Zatloukalova; Kay Raum

doi:10.3934/mbe.2020281

Mathematical Biosciences and Engineering

2020, Volume 17, Issue 5: 5190-5211. doi: 10.3934/mbe.2020281

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High frequency ultrasound assesses transient changes in cartilage under osmotic loading

Jana Zatloukalova ^1,2,3,
Kay Raum ^{2
,
,}

1.
Faculty of Nuclear Science and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Prague, Czech Republic
2.
Charité–Universitätsmedizin Berlin, Corporate Member of Freie Universität Berlin, Humboldt-Universität zu Berlin, and Berlin Institute of Health, BCRT - Berlin Institute of Health Center for Regenerative Therapies, Berlin, Augustenburger Platz, 133 53 Berlin, Germany
3.
Institute of Thermomechanics, Czech Academy of Science, Dolejškova 1402/5, 182 00 Prague, Czech Republic

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.
- articular cartilage,
- high-frequency ultrasound,
- diffusion model,
- numerical simulations,
- osmotic loading,
- swelling behavior,
- fixed charge density
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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Abstract

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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