Oddziaływanie aplikatorów pola magnetycznego na stenty

Syrek, P.; Cieśla, A.; Kraszewski, W.; Skowron, Mikołaj

doi:10.15199/48.2017.01.52

Cited by 1 publication

(2 citation statements)

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“…The value of coefficient δ E [m 2 /V 2 ] for the bio-fluid has not yet been accurately measured experimentally. We only know that for E = 10 V/m and pH = 8 we obtain δ E = 0.0003 m 2 /V 2 [29]. It thus follows that the dimensionless increase in the dynamic viscosity of the bio-fluid resulting from the influence of electric field in the phospholipid layer is 1 + δ E E 2 = 1.03, i.e., only 3%.…”

Section: Basic Theoretical Random Methodsmentioning

confidence: 90%

“…are the invariants of shear rate components Θ i j [s −1 ], n -dimensionless flow index depended on PL concentration in the biological fluid, m = m (n,pH,T,We) -fluid consistency coefficient in Pas n , e i jk -tensor Levi-Civity, We-superficial layer wettability, pH -power hydrogen ion concentration. Geometrical non-linear relations between shear rate Θ i j and biological fluid velocity components v i [m/s] are as follows [29]:…”

Section: Estimation Of Random Bio-hydrodynamic Lubrication Parameters...mentioning

confidence: 99%

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Bulletin of the Polish Academy of Sciences: Technical Sciences

Wierzcholski

Miszczak

2020

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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.

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Section: Basic Theoretical Random Methodsmentioning

confidence: 90%

Section: Estimation Of Random Bio-hydrodynamic Lubrication Parameters...mentioning

confidence: 99%