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首页> 外文会议>IEEE Biennial Congress of Argentina >Estudio regional de la elasticidad aórtica porcina utilizando un modelo en derivadas de orden fraccional
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Estudio regional de la elasticidad aórtica porcina utilizando un modelo en derivadas de orden fraccional

机译：利用分数阶数模型的猪主动脉弹性区域研究

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Understanding and modelling the mechanical behaviour of the aorta is a problem being treated since several decades ago. Usually, it is assumed that the viscoelastic properties of the aorta gradually change from the heart towards periphery, going from mainly elastic to more viscous vessels. This behaviour might be associated with the gradual diminution of the elastin/collagen ratio and the increase of smooth muscle presence. Nevertheless, some reports show that the mechanical properties of the aorta do not vary uniformly. In this work we performed uniaxial tensile and relaxation tests of four specimens from different regions of a porcine aorta. A test machine conceived and built in our laboratory was adapted to measure stress and strain in a controlled temperature environment. Two models were fit to the relaxation curves: one based on a traditional spring/dashpot arrangement and another one with a fractional-order-derivative element. The latter was more accurate in terms of the root mean square error (?33%) with respect to the traditional model. Moreover, it has 4 instead of 5 parameters to adapt. In this test, we did not find a gradual change in the aortic stiffness: it increased from the ascending to the distal descending segment, whereas a raise was observed in the proximal descending region.
机译：理解和建模主动脉的力学行为是自几十年前以来正在治疗的问题。通常，假设主动脉的粘弹性特性从心脏朝向周边逐渐变化，从主要是弹性到更多粘性血管。这种行为可能与弹性蛋白/胶原蛋白的比例逐渐减少和平滑肌的增加相关。然而，一些报告表明主动脉的机械性能不会均匀地变化。在这项工作中，我们对来自猪主动脉的不同地区进行了四个标本的单轴拉伸和放松测试。在我们的实验室中构建和构建的测试机适于测量受控温度环境中的应力和应变。两种型号适合放松曲线：一个基于传统的弹簧/小截面布置和另一个具有分数阶衍生元件的曲线。在传统模型方面，后者在根均线误差（？33％）方面更准确。而且，它有4而不是5个参数来适应。在该测试中，我们没有发现主动脉僵硬度的逐渐变化：它从上升到远侧下降段增加，而在近端下降区域中观察到升高。

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