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

• Autorzy: Wierzcholski Krzysztof , Miszczak Andrzej

Identyfikatory

DOI

10.24425/bpasts.2021.135834

• Języki publikacji: EN

Abstrakty

EN

This paper presents a new form of a mathematical estimation of stochastic bio-hydrodynamic lubrication parameters for real human joint surfaces with phospholipid bilayers. In this work, the authors present the analytical and stochastic considerations, which are based on the measurements of human joint surfaces. The gap is restricted between two cooperating biological surfaces. After numerous experimental measurements, it directly follows that the random symmetrical as well as unsymmetrical increments and decrements of the gap height in human joints influence the hydrodynamic pressure, load-carrying capacity, friction forces, and wear of the cooperating cartilage surfaces in human joints. The main focus of the paper was to demonstrate the influence of variations in the expected values and standard deviation of human joint gap height on the hydrodynamic lubrication parameters occurring in the human joint. It is very important to notice that the new form of apparent dynamic viscosity of synovial fluid formulated by the authors depends on ultra-thin gap height variations. Moreover, evident connection was observed between the apparent dynamic viscosity and the properties of cartilage surface coated by phospholipid cells. The above observations indicate an indirect impact of stochastic changes in the height of the gap and the indirect impact of random changes in the properties of the joint surface coated with the phospholipid layers, on the value of hydrodynamic pressure, load carrying capacity and friction forces. In this paper the authors present a synthetic, comprehensive estimation of stochastic bio-hydrodynamic lubrication parameters for the cooperating, rotational cartilage bio-surfaces with phospholipid bilayers occurring in human joints. The new results presented in this paper were obtained taking into account 3D variations in the dynamic viscosity of synovial fluid, particularly random variations crosswise the film thickness for non-Newtonian synovial fluid properties. According to the authors’ knowledge, the obtained results are widely applicable in spatiotemporal models in biology and health science.

Słowa kluczowe

EN

human joint; estimation of lubrication parameters; phospholipids bilayer; analytical stochastic principles; analytical stochastic solutions; apparent viscosity depended on the gap height variations

PL

staw ludzki; oszacowanie parametrów smarowania; dwuwarstwa fosfolipidowa; analiza stochastyczna zasad; analiza stochastyczna problemów; lepkość pozorna

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2021
• Tom: Vol. 69, nr 1
• Strony: art. no. e135834
• Opis fizyczny: Bibliogr. 29 poz., rys., tab.

Twórcy

autor

Wierzcholski Krzysztof

• WSG University of Economy in Bydgoszcz, ul. Garbary 2, 85-229 Bydgoszcz, Poland

• https://orcid.org/0000-0002-9074-4200

autor

Miszczak Andrzej

• Gdynia Maritime University, ul. Morska 81/87, 81-225 Gdynia, Poland

• https://orcid.org/0000-0002-2747-7904

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).