Prediction of the elastic strain limit of tendons
Prediction of the elastic strain limit of tendons
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DOI：
10.1016/j.jmbbm.2013.11.020
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发表时间：
2014-02-01
影响因子：
3.9
通讯作者：
Zadpoor, A. A.
中科院分区：
文献类型：
--
作者：
Reyes, A. M.;Jahr, H.;Zadpoor, A. A.
肌腱的弹性应变极限（ESL）是指达到最大弹性模量的点，在此点之后开始出现微损伤。研究肌腱在重复（疲劳）载荷下的损伤进展需要对ESL的先验知识。在这项研究中，我们提出了三种不同的方法来预测ESL。首先，假设一个单一的值代表所有肌腱样本的ESL。其次，采用不同的外推曲线外推应力-应变曲线的初始部分。第三，采用基于应力-应变曲线初始部分形状与应力-应变曲线数据库比对的方法。大量的猪肌腱外植体（97例）进行了测试，以检验上述方法。与其他方法相比，第三种方法的变体产生了显著（p < 0.05）较小的误差值。根据应力-应变曲线初始部分的大小，基于形状的比较中表现最佳的变体的平均绝对百分比误差在8.14 +/- 6.44%和9.96 +/- 9.99%之间。并将最佳表现方法应用于马肌腱ESL的预测，研究了最佳表现方法的种间通用性。根据应力-应变曲线初始部分的大小和归一化方式的不同，预测马肌腱ESL的平均绝对百分比误差在10.53 +/- 7.6% ~ 19.16 +/- 14.31%之间。本研究结果表明，不同个体和不同解剖部位的ESL和应力-应变曲线形状可能存在很大差异。(C) 2013 Elsevier Ltd.版权所有。
The elastic strain limit (ESL) of tendons is the point where maximum elastic modulus is reached, after which micro-damage starts. Study of damage progression in tendons under repetitive (fatigue) loading requires a priori knowledge about ESL. In this study, we propose three different approaches for predicting ESL. First, one single value is assumed to represent the ESL of all tendon specimens. Second, different extrapolation curves are used for extrapolating the initial part of the stress-strain curve. Third, a method based on comparing the shape of the initial part of the stress-strain curve of specimens with a database of stress-strain curves is used. A large number of porcine tendon explants (97) were tested to examine the above-mentioned approaches. The variants of the third approach yielded significantly (p < 0.05) smaller error values as compared to the other approaches. The mean absolute percentage error of the best-performing variant of the shape-based comparison was between 8.14 +/- 6.44% and 9.96 +/- 9.99% depending on the size of the initial part of the stress-strain curves. Interspecies generalizability of the best performing method was also studied by applying it for prediction of the ESL of horse tendons. The ESL of horse tendons was predicted with mean absolute percentage errors ranging between 10.53 +/- 7.6% and 19.16 +/- 14.31% depending on the size of the initial part of the stress-strain curves and the type of normalization. The results of this study suggest that both ESL and the shape of stress-strain curves may be highly different between different individuals and different anatomical locations. (C) 2013 Elsevier Ltd. All rights reserved.