Constitutive modeling of coronary arterial media--comparison of three model classes.

Constitutive modeling of coronary arterial media--comparison of three model classes.
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DOI:
10.1115/1.4004249
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发表时间:
2011-06
期刊:
Journal of biomechanical engineering
影响因子:
--
通讯作者:
Lanir Y
Lanir Y
中科院分区:
其他
文献类型:
--
作者:
Hollander Y;Durban D;Lu X;Kassab GS;Lanir Y

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准确的动脉弹性建模对于预测脉动血流和向外周的输送以及评估血管壁的机械微环境至关重要。本研究的目的是将最近开发的猪左前降支中动脉结构模型与两种常用的现象学和结构驱动不变模型的典型代表进行比较,包括模型参数的数量、模型描述性和预测能力以及可靠参数估计所需的不同测试方案。将这三个模型与径向膨胀、轴向延伸和扭转测试的 3D 数据进行比较。还检查了模型对响应未用于估计的数据的预测能力,包括估计数据库范围之外的测试以及不同性质的协议。结果表明,通过完整 3D 数据和模型预测之间的残差平方和 (SSE) 来测量的描述性估计误差(模型拟合估计数据库),结构模型 (4.58%) 大约是其他两个模型的两倍(现象学模型和结构驱动模型分别为 9.71% 和 8.99%)。预测能力也获得了类似的 SSE 比率。基于对两个低拉伸的估计的高拉伸预测 SSE,结构模型的 SSE 值为 2.81%,现象学模型和结构驱动模型的 SSE 值分别为 10.54% 和 7.87%。对于根据膨胀-延伸数据预测扭转,结构模型的扭转刚度 SSE 值为 1.76%,唯象模型和结构驱动模型的扭转刚度 SSE 值为 39.62% 和 2.77%。结构模型所需的模型参数数量是四个,而现象学模型需要六到九个,结构驱动模型有四个参数。这些结果表明,基于组织结构特征的建模在描述给定数据和预测组织一般反应方面提高了模型可靠性。
Accurate modeling of arterial elasticity is imperative for predicting pulsatile blood flow and transport to the periphery, and for evaluating the mechanical micro-environment of the vessel wall. The goal of the present study is to compare a recently developed structural model of porcine left anterior descending artery media to two commonly used typical representatives of phenomenological and structure-motivated invariant-based models, in terms of the number of model parameters, model descriptive and predictive powers, and requisite different test protocols for reliable parameter estimation. The three models were compared against 3D data of radial inflation, axial extension, and twist tests. Also checked are the models predictive capabilities to response data not used for estimation, including both tests outside the range of estimation database, as well as protocols of a different nature. The results show that the descriptive estimation error (model fit to estimation database), measured by the sum of squared residuals (SSE) between full 3D data and model predictions, was about twice as low for the structural (4.58%) model compared to the other two (9.71% and 8.99% for the phenomenological and structure-motivated models, respectively). Similar SSE ratios were obtained for the predictive capabilities. Prediction SSE at high stretch based, on estimation of two low stretches yielded an SSE value of 2.81% for the structural model, and 10.54% and 7.87% for the phenomenological and structure-motivated models, respectively. For the prediction of twist from inflation-extension data, SSE values for the torsional stiffness was 1.76% for the structural model and 39.62% and 2.77% for the phenomenological and structure-motivated models. The required number of model parameters for the structural model is four, whereas the phenomenological model requires six to nine and the structure-motivated has four parameters. These results suggest that modeling based on the tissue structural features improves model reliability is describing given data and in predicting the tissue general response.
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