Gray Hans A, Zavatsky Amy B, Gill Harinderjit S
Department of Mechanical Engineering, University of Moratuwa, Moratuwa, Sri Lanka.
Clin Biomech (Bristol). 2010 Mar;25(3):242-7. doi: 10.1016/j.clinbiomech.2009.12.002. Epub 2010 Jan 13.
Radiolucent lines and sclerotic margins are often seen on knee radiographs taken a year or longer after knee replacement surgery. Histology has shown that the radiolucent zone is predominantly fibrocartilage and the sclerotic margin is lamellar bone. The reasons for their existence are not clearly understood.
A three-dimensional finite element model of the medial half of the proximal 75mm of a tibia implanted with a knee replacement was created and run over 365 iterations simulating 1year of in vivo post implant remodelling. After each iteration, new material properties were calculated for all elements of the model using established bone remodelling and tissue differentiation rules. For comparison with patient anteroposterior radiographs, "synthetic anteroposterior radiographs" were generated by reverse calculating radiographic densities from material properties of the model after 365 iterations. Von Mises stress of elements in the bone where the sclerotic line is usually seen were calculated after 365 iterations. These values were compared with the same entities assuming no remodelling.
The mean von Mises stress in the sclerotic region was higher when remodelling was assumed than when not, suggesting that the presence of the soft tissue (radiolucent line) increased the stress in the underlying bone.
The sclerotic line is caused by the stiffening of bone due to the relatively larger loads seen by the bone just beneath the soft tissue (radiolucent line) adjoining knee replacements.
在膝关节置换手术后一年或更长时间拍摄的膝关节X线片上,常常可见透亮线和硬化边缘。组织学显示,透亮区主要为纤维软骨,硬化边缘为板层骨。其存在的原因尚不清楚。
建立了一个植入膝关节置换物的胫骨近端75mm内侧半的三维有限元模型,并运行365次迭代,模拟植入后1年的体内重塑。每次迭代后,使用既定的骨重塑和组织分化规则为模型的所有单元计算新的材料属性。为了与患者的前后位X线片进行比较,在365次迭代后,根据模型的材料属性反向计算X线密度,生成“合成前后位X线片”。在365次迭代后,计算通常可见硬化线的骨中单元的冯·米塞斯应力。将这些值与假设无重塑时的相同实体进行比较。
假设进行重塑时,硬化区域的平均冯·米塞斯应力高于不进行重塑时,这表明软组织(透亮线)的存在增加了下方骨中的应力。
硬化线是由于紧邻膝关节置换物的软组织(透亮线)下方的骨所承受的相对较大负荷导致骨硬化而形成的。