The Shear Modulus and Structure of Cartilage Tissue

Authors

  • L.A. Bulavin Taras Shevchenko National University of Kyiv, Faculty of Physics, Department of Molecular Physics
  • K.I. Hnatiuk Taras Shevchenko National University of Kyiv, Faculty of Physics, Department of Molecular Physics
  • Yu.F. Zabashta Taras Shevchenko National University of Kyiv, Faculty of Physics, Department of Molecular Physics
  • O.S. Svechnikova Taras Shevchenko National University of Kyiv, Faculty of Physics, Department of Molecular Physics
  • V.I. Tsymbaliuk National Academy of Medical Sciences of Ukraine

DOI:

https://doi.org/10.15407/ujpe67.4.277

Keywords:

cartilage tissue, shear modulus, deformation, network model

Abstract

Cartilage tissue has been considered as a polymeric gel network formed from chains of fibrillar proteins and proteoglycans. A theoretical model of the network consisting of network units connected by inter-unit chains is proposed, the corresponding deformation mechanism for cartilage tissue is developed, and a formula for the shear modulus is obtained. The shear modulus for elastic cartilage tissue is also determined experimentally. The number of inter-unit chains in the model of the elastic cartilage tissue is evaluated to be equal to 10.

References

Histology, Cytology, and Embryology. Edited by Yu.I. Afanasyev, N.A. Yurina (Meditsyna, 2002) (in Russian).

O.D. Lutsyk, A.Y. Ivanova, K.S. Kabak, Yu.B. Tchaikovskyi. Human Histology (Knyga Plus, 2010) (in Ukrainian).

P. Poillot, C.L. Le Maitre, J.M. Huyghe. The strain-generated electrical potential in cartilaginous tissues: a role for piezoelectricity. Biophys. Rev. 13, 91 (2021).

https://doi.org/10.1007/s12551-021-00779-9

V.Y. Antonchenko, V.V. Il'in, N.N. Makovskii. Molecularstatistical properties of water near the surface. Colloid J. Russ. ACAD+ 50, 895 (1989).

L.D. Landau, E.M. Lifshitz. Fluid Mechanics (Pergamon Press, 1993).

L.D. Landau, E.M. Lifshitz. Theory of Elasticity (Pergamon Press, 1959).

P.-G. De Gennes, P.-G. Gennes. Scaling Concepts in Polymer Physics (Cornell University Press, 1979) [ISBN: 0-8014-1203-X].

Yu.L. Klimontovich. Statistical Physics (Harwood, 1986).

L.A. Bulavin, Yu.F. Zabashta. Local Maxwellian distribution in fluids. Ukr. J. Phys. 57, 1156 (2012).

P.J. Flory. Statistical Mechanics of Chain molecules (John Wiley, 1969).

https://doi.org/10.1002/bip.1969.360080514

C.Y. Liang, S. Krimm, G. Sutherland. Infrared spectra of high polymers. I. Experimental methods and general theory. J. Chem. Phys. 25, 543 (1956).

https://doi.org/10.1063/1.1742962

A.Z. Golik, A.F. Lopan. Investigation of viscous-elastic properties of capron at infrasonic frequencies. Ukr. J. Phys. 12, 988 (1967).

O.Yu. Aktan, O.S. Svechnikova, T.Yu. Nikolaenko. The method of determination of material shear elestisity in the course of its solidification. Funct. Mater. 14, 146 (2007).

J. Bird. Engineering Mathematics (Taylor and Francis, 2007).

https://doi.org/10.4324/9780080470955

Published

2022-07-06

How to Cite

Bulavin, L., Hnatiuk, K., Zabashta, Y., Svechnikova, O., & Tsymbaliuk, V. (2022). The Shear Modulus and Structure of Cartilage Tissue. Ukrainian Journal of Physics, 67(4), 277. https://doi.org/10.15407/ujpe67.4.277

Issue

Section

Physics of liquids and liquid systems, biophysics and medical physics

Most read articles by the same author(s)

<< < 1 2 3 4 5 > >>