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首页> 美国卫生研究院文献>Biophysical Journal >A Three-Dimensional Analytical (Rheological) Model of the Human Left Ventricle in Passive-Active States
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A Three-Dimensional Analytical (Rheological) Model of the Human Left Ventricle in Passive-Active States

机译：被动活动状态下人左心室的三维分析（流变）模型

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In this paper a three-dimensional continuum model of a mammalian left ventricle is formulated. The stresses in the model satisfy the conditions of zero stress on the outer (epicardial surface-representing) boundary. The strains of the model are obtained from the actual dynamic geometry measurements (obtained from cineangiocardiography). Since the left ventricular muscle is incompressible, the dilatational strain is zero and hence the (three-dimensional) deviatric stress components are related to the corresponding strain components by Maxwell and Voigt rheological model analogues of one-dimensional systems; the parameters of the model are series and parallel elastic (SE, PE) elements and the contractile element (CE) (representing the sarcomere). The incorporation of the rheological features of the cardiac muscle into the three-dimensional constitutive equations (for the three-dimensional continuum model of the left ventricle) is a feature of this paper. A procedure is presented to determine the parameters of the constitutive equations (i.e., the SE, PE, and the parameters of the force-velocity relation for the CE) for the left ventricle of a subject from data on the dimensions and chamber pressure of the left ventricle. The values of these parameters characterize the rheology of the left ventricular muscle of the subject. In order to demonstrate clinical application of the analyses, in vivo data of the subjects' left ventricular pressure and dimensions are obtained, and the analyses are applied to the data to determine (for each subject) the values and characteristics of the elastic elements and CEs.
机译：在本文中，建立了哺乳动物左心室的三维连续体模型。模型中的应力满足外部（心外膜表面代表）边界上零应力的条件。该模型的应变是从实际的动态几何测量（从心电图获得）获得的。由于左心室肌是不可压缩的，因此扩张应变为零，因此（一维系统的Maxwell和Voigt流变模型类似物）（三维）去维亚应力成分与相应的应变成分相关。模型的参数是串联和平行弹性（SE，PE）元素和可收缩元素（CE）（代表肌节）。本文将心肌的流变学特征纳入三维本构方程（对于左心室的三维连续模型）中。提出了一种程序来确定受试者左心室的本构方程的参数（即，SE，PE和CE的力度速度关系的参数），有关该参数的大小和室压左心室。这些参数的值表征了受试者的左心室肌的流变性。为了证明该分析的临床应用，获得了受试者左心室压力和尺寸的体内数据，并对这些数据进行了分析，以确定（针对每个受试者）弹性元件和CE的值和特征。 。

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