Hlavácek M
Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, Prague.
J Biomech. 1999 Oct;32(10):1059-69. doi: 10.1016/s0021-9290(99)00095-0.
A mixture model of synovial fluid filtration by cartilage in the human ankle joint during walking is presented for steady sliding motion of the articular surfaces. In the paper the cartilage surface zone is assumed worn out. The same model has been recently applied to the squeeze-film problem for the human hip joint loaded by the body weight during standing (Hlavácek, Journal of Biomechanics 26, 1145-1150, 1151-1160, 1993; Hlavácek and Novák, Journal of Biomechanics 28, 1193-1198, 1199-1205, 1995). The linear biphasic model for cartilage (elastic porous matrix + ideal fluid) due to Prof. V. C. Mow and his co-workers and the biphasic model for synovial fluid (viscous fluid + ideal fluid), as used in the above-mentioned squeeze-film problem, are applied. For the physiologic parameters of the ankle joint during walking, a continuous synovial fluid film about 1 microm thick is maintained under steady entraining motion according to the classical model without the fluid transport across the articular surface. This is not the case in the filtration model with the cartilage surface zones worn out. On the contrary, this filtration model indicates that synovial fluid is intensively filtrated by such cartilage, so that no continuous fluid film is maintained and a synovial gel layer, about 10(-8) m thick, develops over the majority of the contact. Thus, if the cartilage surface zones are worn out, boundary lubrication should prevail in the ankle joint under steady sliding motion for the mean values of loading and the sliding velocity encountered in walking cycle.
本文针对人体踝关节在行走过程中关节面的稳定滑动运动,提出了一种关节软骨对滑液过滤的混合模型。在本文中,假设软骨表面区域已磨损。该模型最近已应用于人体髋关节在站立时承受体重的挤压膜问题(Hlavácek,《生物力学杂志》26卷,1145 - 1150页,1151 - 1160页,1993年;Hlavácek和Novák,《生物力学杂志》28卷,1193 - 1198页,1199 - 1205页,1995年)。文中采用了V. C. Mow教授及其同事提出的软骨线性双相模型(弹性多孔基质 + 理想流体)以及上述挤压膜问题中使用的滑液双相模型(粘性流体 + 理想流体)。对于行走过程中踝关节的生理参数,根据经典模型,在稳定的夹带运动下可维持约1微米厚的连续滑液膜,且没有流体穿过关节面。但在软骨表面区域磨损的过滤模型中情况并非如此。相反,该过滤模型表明滑液会被这种软骨大量过滤,以至于无法维持连续的流体膜,并且在大部分接触区域会形成约10^(-8)米厚的滑膜凝胶层。因此,如果软骨表面区域磨损,对于行走周期中遇到的平均负荷和滑动速度,在稳定滑动运动下踝关节应主要采用边界润滑。