Schmid H, Nash M P, Young A A, Hunter P J
Bioengineering Institute, University of Auckland, Auckland, New Zealand.
J Biomech Eng. 2006 Oct;128(5):742-50. doi: 10.1115/1.2244576.
The study of ventricular mechanics-analyzing the distribution of strain and stress in myocardium throughout the cardiac cycle-is crucially dependent on the accuracy of the constitutive law chosen to represent the highly nonlinear and anisotropic properties of passive cardiac muscle. A number of such laws have been proposed and fitted to experimental measurements of stress-strain behavior. Here we examine five of these laws and compare them on the basis of (i) "goodness of fit:" How well they fit a set of six shear deformation tests, (ii) "determinability:" How well determined the objective function is at the optimal parameter fit, and (iii) "variability:" How well determined the material parameters are over the range of experiments. These criteria are utilized to discuss the advantages and disadvantages of the constitutive laws.
心室力学研究——分析整个心动周期中心肌的应变和应力分布——关键取决于所选用的本构定律的准确性，该定律用于描述被动心肌高度非线性和各向异性的特性。已经提出了许多这样的定律，并将其与应力 - 应变行为的实验测量结果进行拟合。在此，我们研究其中五条定律，并基于以下几点对它们进行比较：（i）“拟合优度”：它们对一组六个剪切变形测试的拟合程度如何；（ii）“可确定性”：在最佳参数拟合时目标函数的确定程度如何；（iii）“变异性”：在实验范围内材料参数的确定程度如何。利用这些标准来讨论本构定律的优缺点。
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