Hamdia Khader M, Marino Michele, Zhuang Xiaoying, Wriggers Peter, Rabczuk Timon
Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.
Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam.
Int J Numer Method Biomed Eng. 2019 Aug;35(8):e3209. doi: 10.1002/cnm.3209. Epub 2019 Jul 4.
The effects of the stochasticity of collagen-related structural properties on the biomechanical properties of tendons and ligaments are investigated in this study. The tissue mechanics is modeled by means of a macroscale constitutive model based on a multiscale structural approach. This rationale allows to introduce model parameters directly associated with tissue structural and biochemical features, opening to physically motivated parametric studies. Variance and density-based global sensitivity analyses are employed, together with the quantification of output uncertainty due to stochastic variations of parameters. Novel insights on tissue structure-mechanics relationship are provided, quantifying the dependence between mechanical output quantities on specific collagen-related structural features. Moreover, the uncertainty quantification shows that model predictions provided by the multiscale structural approach are reliable with respect to inevitable uncertainties in tissue structure. Addressing rat tail tendons, the use of average values in tissue properties returns a constitutive response that fits well-available experimental data, and it is robust with respect to parameter stochasticity.
本研究探讨了胶原蛋白相关结构特性的随机性对肌腱和韧带生物力学特性的影响。组织力学通过基于多尺度结构方法的宏观本构模型进行建模。这种基本原理允许引入与组织结构和生化特征直接相关的模型参数，从而开展基于物理原理的参数研究。采用了基于方差和密度的全局敏感性分析，以及对由于参数随机变化导致的输出不确定性进行量化。提供了关于组织结构-力学关系的新见解，量化了机械输出量对特定胶原蛋白相关结构特征的依赖性。此外，不确定性量化表明，多尺度结构方法提供的模型预测对于组织结构中不可避免的不确定性而言是可靠的。针对大鼠尾巴肌腱，使用组织特性的平均值可得到与现有实验数据拟合良好的本构响应，并且对参数随机性具有鲁棒性。
