Buckley Mark R, Gleghorn Jason P, Bonassar Lawrence J, Cohen Itai
Department of Physics, Cornell University, Clark Hall C7, Ithaca, NY 14853, USA.
J Biomech. 2008 Aug 7;41(11):2430-7. doi: 10.1016/j.jbiomech.2008.05.021. Epub 2008 Jul 10.
Determining the depth dependence of the shear properties of articular cartilage is essential for understanding the structure-function relation in this tissue. Here, we measured spatial variations in the shear modulus G of bovine articular cartilage using a novel technique that combines shear testing, confocal imaging and force measurement. We found that G varied by up to two orders of magnitude across a single sample, exhibited a global minimum 50-250 microm below the articular surface in a region just below the superficial zone and was roughly constant at depths > 1000 microm (the "plateau region"). For plateau strains gamma(plateau) approximately 0.75% and overall compressive strains epsilon approximately 5%, G(min) and G(plateau) were approximately 70 and approximately 650 kPa, respectively. In addition, we found that the shear modulus profile depended strongly on the applied shear and axial strains. The greatest change in G occurred at the global minimum where the tissue was highly nonlinear, stiffening under increased shear strain, and weakening under increased compressive strain. Our results can be explained through a simple thought model describing the observed nonlinear behavior in terms of localized buckling of collagen fibers and suggest that compression may decrease the vulnerability of articular cartilage to shear-induced damage by lowering the effective strain on individual collagen fibrils.
确定关节软骨剪切特性的深度依赖性对于理解该组织的结构-功能关系至关重要。在此,我们使用一种结合了剪切测试、共聚焦成像和力测量的新技术,测量了牛关节软骨剪切模量G的空间变化。我们发现,在单个样本中,G的变化幅度高达两个数量级,在浅表层下方的一个区域,关节表面以下50 - 250微米处呈现出一个全局最小值,并且在深度> 1000微米(“平台区域”)时大致保持恒定。对于平台应变γ(plateau)约为0.75%和总压缩应变ε约为5%的情况,G(min)和G(plateau)分别约为70和约650 kPa。此外,我们发现剪切模量分布强烈依赖于所施加的剪切应变和轴向应变。G的最大变化发生在全局最小值处,此时组织具有高度非线性,在剪切应变增加时变硬,在压缩应变增加时变软。我们的结果可以通过一个简单的思维模型来解释,该模型根据胶原纤维的局部屈曲来描述观察到的非线性行为,并表明压缩可能通过降低单个胶原纤维上的有效应变来降低关节软骨对剪切诱导损伤的易感性。