Gratz Kenneth R, Sah Robert L
Department of Bioengineering, University of California--San Diego, 9500 Gilman Drive, Mail Code 0412, La Jolla, CA 92093-0412, USA.
J Biomech. 2008;41(6):1333-40. doi: 10.1016/j.jbiomech.2008.01.006. Epub 2008 Mar 10.
Interactions between contacting biological surfaces may play significant roles in physiological and pathological processes. Theoretical models have described some special cases of contact, using one or more simplifying assumptions. Experimental quantification of contact could help to validate theoretical analyses. The objective of this study was to develop a general mathematical approach describing the dynamics of deformation and relative surface motion between contacting bodies and to implement this approach to describe the contact between two experimentally tracked tissue surfaces. A theoretical formulation (in 2-D and 3-D) of contact using the movement of discrete tissue markers is described. The method was validated using theoretically generated 3-D datasets, with <1% error for a wide range of parameters. The method was applied to the contact loading of opposing articular cartilage tissues, where displacements of cell nuclei were tracked optically and used to quantify the movements and deformations of the surfaces. Compared to tissues with matched material properties, tissues with mismatched material properties exhibited increased disparities in lateral expansion and relative motion (sliding) between the contacting surfaces.
接触的生物表面之间的相互作用可能在生理和病理过程中发挥重要作用。理论模型使用一个或多个简化假设描述了一些特殊的接触情况。接触的实验量化有助于验证理论分析。本研究的目的是开发一种通用的数学方法来描述接触物体之间的变形动力学和相对表面运动，并应用该方法描述两个实验跟踪的组织表面之间的接触。描述了一种使用离散组织标记运动的接触理论公式（二维和三维）。该方法通过理论生成的三维数据集进行验证，在广泛的参数范围内误差小于1%。该方法应用于相对关节软骨组织的接触加载，其中细胞核的位移通过光学跟踪，并用于量化表面的运动和变形。与具有匹配材料特性的组织相比，具有不匹配材料特性的组织在接触表面之间的横向扩展和相对运动（滑动）方面表现出更大的差异。
