Identifiability of tissue material parameters from uniaxial tests using multi-start optimization.
Identifiability of tissue material parameters from uniaxial tests using multi-start optimization.
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DOI：
10.1016/j.actbio.2021.01.006
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发表时间：
2021-03-15
影响因子：
9.7
通讯作者：
Elliott DM
中科院分区：
文献类型：
--
作者：
Safa BN;Santare MH;Ethier CR;Elliott DM
在各种应用中，经常需要根据力学测试数据来确定组织生物力学材料的特性。然而，由此得到的本构模型参数的有效性是该领域争论的主题。组织力学中的参数优化通常归结为本构模型参数的“可识别性”或“唯一性”；然而，尽管在建立复杂本构关系和许多经典和创新的曲线拟合方法方面取得了进展，但目前还没有可访问的框架来研究组织材料参数的可识别性。我们的目标是评估已建立的纤维增强软组织、生物材料和组织工程结构的本构模型的材料参数的可识别性，并为其他应用建立可推广的程序。为此，我们通过模拟生物力学中常用的单轴拉伸和压缩测试来生成合成实验数据。然后，我们使用基于多个初始参数猜测的非线性最小二乘方法的多开始优化技术来拟合该数据。我们以肌腱和巩膜为例，使用描述这些纤维增强组织的本构模型。我们证明，这些本构模型的所有模型参数并不能从单轴力学试验中识别出来，尽管与应力-拉伸响应几乎完全相同。我们进一步表明，当将侧向应变作为附加的拟合标准时，可以识别的参数更多，但仍有一些参数无法识别。这项工作为解决组织力学中的参数可辨识性问题提供了一种实用的方法。
Determining tissue biomechanical material properties from mechanical test data is frequently required in a variety of applications. However, the validity of the resulting constitutive model parameters is the subject of debate in the field. Parameter optimization in tissue mechanics often comes down to the “identifiability” or “uniqueness” of constitutive model parameters; however, despite advances in formulating complex constitutive relations and many classic and creative curve-fitting approaches, there is currently no accessible framework to study the identifiability of tissue material parameters. Our objective was to assess the identifiability of material parameters for established constitutive models of fiber-reinforced soft tissues, biomaterials, and tissue-engineered constructs and establish a generalizable procedure for other applications. To do so, we generated synthetic experimental data by simulating uniaxial tension and compression tests, commonly used in biomechanics. We then fit this data using a multi-start optimization technique based on the nonlinear least-squares method with multiple initial parameter guesses. We considered tendon and sclera as example tissues, using constitutive models that describe these fiber-reinforced tissues. We demonstrated that not all the model parameters of these constitutive models were identifiable from uniaxial mechanical tests, despite achieving virtually identical fits to the stress-stretch response. We further show that when the lateral strain was considered as an additional fitting criterion, more parameters are identifiable, but some remain unidentified. This work provides a practical approach for addressing parameter identifiability in tissue mechanics.
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DOI：
10.1115/1.3113682
发表时间：
2009-05
期刊：
Journal of biomechanical engineering
影响因子：
--
作者：
Girard MJ;Downs JC;Burgoyne CF;Suh JK
通讯作者：
Suh JK
影响因子：
2.4
作者：
Buckley, Mark R.;Sarver, Joseph J.;Soslowsky, Louis J.
通讯作者：
Soslowsky, Louis J.
影响因子：
6.8
作者：
Posik, Petr;Huyer, Waltraud;Pal, Laszlo
通讯作者：
Pal, Laszlo
影响因子：
2.8
作者：
Fang, Fei;Lake, Spencer P.
通讯作者：
Lake, Spencer P.
影响因子：
2.8
作者：
Hartmann, Stefan;Gilbert, Rose Rogin
通讯作者：
Gilbert, Rose Rogin