The correspondence between equilibrium biphasic and triphasic material properties in mixture models of articular cartilage
The correspondence between equilibrium biphasic and triphasic material properties in mixture models of articular cartilage
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DOI：
10.1016/s0021-9290(03)00252-5
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发表时间：
2004-03-01
影响因子：
2.4
通讯作者：
Hung, CT
中科院分区：
文献类型：
--
作者：
Ateshian, GA;Chahine, NO;Hung, CT
混合模型已成功地用于描述关节软骨对各种载荷条件的响应。Mow等人（J. Biornech. Eng.102（1980）73）制定了关节软骨的两相混合物模型，其中胶原蛋白-蛋白聚糖基质被建模为固有不可压缩的多孔可渗透固体基质，并且间质液被建模为不可压缩流体。Lai等人（J. Biomech. 113（1991）245）提出了关节软骨的三相模型作为其两相理论的扩展，其中带负电荷的蛋白聚糖被建模为固定到固体基质，并且间质液中的单价离子被建模为附加的流体相。由于这两种模型共存于软骨文献中，它是有用的，以显示关节软骨的测量特性（限制和无限制的压缩和拉伸模量，压缩和拉伸泊松比，剪切模量）与这两种理论。在这项研究中，封闭形式的表达式，涉及两相和三相材料的拉伸，压缩和剪切性能。然后将这些表达与文献中的实验结果进行比较，以更深入地了解关节软骨作为浴溶液盐浓度和蛋白聚糖固定电荷密度的函数的测量特性。(C)2003爱思唯尔有限公司。保留所有权利。
Mixture models have been successfully used to describe the response of articular cartilage to various loading conditions. Mow et al. (J. Biornech. Eng. 102 (1980) 73) formulated a biphasic mixture model of articular cartilage where the collagen-proteoglycan matrix is modeled as an intrinsically incompressible porous-permeable solid matrix, and the interstitial fluid is modeled as an incompressible fluid. Lai et al. (J. Biomech. Eng. 113 (1991) 245) proposed a triphasic model of articular cartilage as an extension of their biphasic theory, where negatively charged proteoglycans are modeled to be fixed to the solid matrix, and monovalent ions in the interstitial fluid are modeled as additional fluid phases. Since both models co-exist in the cartilage literature, it is useful to show how the measured properties of articular cartilage (the confined and unconfined compressive and tensile moduli, the compressive and tensile Poisson's ratios, and the shear modulus) relate to both theories. In this study, closed-form expressions are presented that relate biphasic and triphasic material properties in tension, compression and shear. These expressions are then compared to experimental findings in the literature to provide greater insight into the measured properties of articular cartilage as a function of bathing solutions salt concentrations and proteoglycan fixed-charge density. (C) 2003 Elsevier Ltd. All rights reserved.