Details

Title

Estimation of random bio-hydrodynamic lubrication parameters for joints with phospholipid bilayers

Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences

Yearbook

2021

Volume

69

Issue

No. 1

Affiliation

Wierzcholski, Krzysztof : WSG University of Economy in Bydgoszcz, ul. Garbary 2, 85-229 Bydgoszcz, Poland ; Miszczak, Andrzej : Gdynia Maritime University, ul. Morska 81/87, 81-225 Gdynia, Poland

Authors

Keywords

human joint ; estimation of lubrication parameters ; phospholipid bilayer ; analytical stochastic principles and solutions ; apparent viscosity dependent on gap height random variations

Divisions of PAS

Nauki Techniczne

Coverage

e135834

Bibliography

  1.  J. Cwanek, The usability of the surface geometry parameters for the evaluation of the artificial hip joint wear, Rzeszów University Press, Rzeszów, 2009.
  2.  VC. Mow, A. Ratcliffe, and S. Woo, Biomechanics of Diarthrodial Joints, Springer Verlag, Berlin-Heidelberg-New York, 1990.
  3.  K. Wierzcholski, “Time depended human hip joint lubrication for periodic motion with stochastic asymmetric density function”, Acta Bioeng. Biomech. 16 (1), 83–97 (2014).
  4.  O.S. Andersen and E. Roger, “Bilayer thickness and Membrane Protein Function: An Energetic Perspective”, Annu. Rev. Biophys. Biomolec. Struct. 36 (1), 107–130 (2014).
  5.  B. Bhushan, Handbook of Micro/Nano Tribology, second ed. CRC Press, Boca Raton, London, New York, Washington D.C., 1999.
  6.  B. Bhushan, “Nanotribology and nanomechanics of MEMS/NEMS and BioMEMS/BioNEMS materials and devices”, Microelectron. Eng. 84, 387–412 (2007).
  7.  G. Chagnon, M. Rebouah, and D. Favier, “Hyperelastic Energy Densities for Soft Biological Tissues: A Review”, J. Elast. 120 (2), 129–160 (2015).
  8.  A. Gadomski, P. Bełdowski, J. Miguel Rubi, W. Urbaniak, K. Wayne, W.K. Auge, I.S. Holek, and Z. Pawlak, “Some conceptual thoughts toward nano-scale oriented friction in a model of articular cartilage”, Math. Biosci. 244, 188–200 (2013).
  9.  B.A. Hills, “Oligolamellar lubrication of joint by surface active phospholipid”, J. Reumatol. 16, 82–91 (1989).
  10.  B.A. Hills, “Boundary lubrication in vivo”, Proc. Inst. Mech. Eng. Part H-J. Eng. Med. 214, 83–87 (2000).
  11.  J. Marra and J.N. Israelachvili, “Direct measurements of forces between phosphatidylcholine and phosphatidylethanolamine bilayers in aqueous electrolyte solutions”, Biochemistry 24, 4608– 4618 (1985).
  12.  Z. Pawlak, A. Gadomski, M. Sojka, W. Urbaniak, and P. Bełdowski, “The amphoteric effect on friction between the bovine cartilage/cartilage surfaces under slightly sheared hydration lubrication mode”, Colloids and Surfaces B: Biointerfaces 1, 146, 452–458 (2016).
  13.  Z. Pawlak, W. Urbaniak, and M.W. Hagner–Derengowska, “The Probable Explanation for the Low Friction of Natural Joints”, Cell Biochem. Biophys. 71 (3), 1615–1621 (2015).
  14.  Z. Pawlak, Z.A. Figaszewski, A. Gadomski, W. Urbaniak, and A. Oloyede, “The ultra–low friction of the articular surface is pH-dependent and is built on a hydrophobic underlay including a hypothesis on joint lubrication mechanism”, Tribol. Int. 43, 1719–1725 (2010).
  15.  Z. Pawlak, W. Urbaniak, A. Gadomski, Q. Kehinde, K.Q. Fusuf, I.O. Afara, and A. Oloyede, “The role of lamellate phospholipid bilayers in lubrication of joints”, Acta Bioeng. Biomech. 14 (4), 101–106 (2012).
  16.  Z. Pawlak, W. Urbaniak, and A. Oloyede, “The relationship between friction and wettability in aqueous environment of natural joints”, Wear 271, 1745–1749 (2011).
  17.  Z. Pawlak, A.D. Petelska, W. Urbaniak, K.Q. Fusuf, and A. Oloyede, “Relationship Between Wettability and Lubrication Characteristics of the Surfaces of Contacting PhospholipidsBased Membranes”, Cell Biochem. Biophys. 65 (3), 335–345 (2012).
  18.  A.D. Petelska and Z.A. Figaszewski, “Effect of pH on interfacial tension of bilayer lipid membrane”, Biophys. J. 78, 812–817 (2000).
  19.  I.M. Schwarz and B.A. Hills, “Synovial surfactant: Lamellar bodies in type B synoviocytes and proteolipid in synovial fluid and the articular lining”, Br. J. Rheumatol. 35 (9), 821–827 (1966).
  20.  A. Kucaba-Piętal, “Squeeze flow modelling with the use of micropolar fluid theory”, Bull. Pol. Ac.: Tech. 65 (6), 927–933, (2017).
  21.  K. Murawski and D. Lee, “Numerical methods of solving equations of hydrodynamics from perspectives of the code FLASH”, Bull. Pol. Ac.: Tech. 59 (1), 927–933, (2011).
  22.  K. Wierzcholski and A. Miszczak, “Mathematical principles and methods of biological surface lubrication with phospholipids bilayers”, Biosystems 178, 32–40 (2019).
  23.  K. Wierzcholski and A. Miszczak, “Electro-Magneto-Hydrodynamic Lubrication”, Open Phys. 16 (1), 285–291 (2018).
  24.  K. Wierzcholski, “Topology of calculating pressure and friction coefficients for time-dependent human hip joint lubrication”, Acta Bioeng. Biomech. 13 (1), 41–56 (2011).
  25.  M. Fisz, Probability calculation and mathematical statistics, PWN, Warszawa, 1967, [in Polish].
  26.  Z. Helwig, Elements of probability calculations and mathematical statistics, PWN, Warszawa, 1977, [in Polish].
  27.  C.Q. Yuan, Z. Peng, X.P. Yan, and X.C. Zhou, “Surface roughness evaluation in sliding wear process”, Wear 265, 341–348 (2008).
  28.  K. Wierzcholski, “Joint cartilage lubrication with phospholipids bilayer”, Tribologia 2 (265), 145–157 (2016).
  29.  P. Syrek, Analiza parametrów przestrzennych aplikatorów małogabarytowych, wykorzystywanych w magnetoterapii, Ph.D. thesis, AGH University of Sciences and Technology, Kraków 2011.

Date

10.02.21

Type

Article

Identifier

DOI: 10.24425/bpasts.2021.135834

Source

Bulletin of the Polish Academy of Sciences: Technical Sciences; 2021; 69; No. 1; e135834
×