Taber L A, Keller B B, Clark E B
Department of Mechanical Engineering, University of Rochester, NY 14627.
J Biomech Eng. 1992 Nov;114(4):427-34. doi: 10.1115/1.2894091.
A theoretical model is presented for the tubular heart of the stage-16 chick embryo (2.3 days of a 21-day incubation period). The model is a thick-walled, pseudoelastic cylindrical shell composed of three isotropic layers: the endocardium, the cardiac jelly, and the myocardium. The analysis is based on a shell theory that accounts for large deformation, material nonlinearity, residual strain, and muscle activation, with material properties inferred from available experimental data. We also measured epicardial strains from recorded motions of microspheres on the primitive right ventricles of stage-16 white Leghorn chick embryos. Relative to end diastole, peak axial and circumferential Lagrange strains occurred near end systole and had similar values. The magnitudes of these strains varied along the longitudinal axis of the heart (-0.16 +/- 0.08), being larger near the ends of the primitive right ventricle and smaller near midventricle. The in-plane shear strain was less than 0.05. Comparison of theoretical and experimental strains during the cardiac cycle shows generally good agreement. In addition, the model gives strong stress concentrations in the myocardial layer at end systole.
本文提出了一个针对第16阶段鸡胚(21天孵化期的2.3天)管状心脏的理论模型。该模型是一个厚壁的、拟弹性圆柱壳,由三个各向同性层组成:心内膜、心胶和心肌。分析基于一种壳理论,该理论考虑了大变形、材料非线性、残余应变和肌肉激活,并根据现有实验数据推断材料特性。我们还通过记录第16阶段白色来亨鸡胚原始右心室上微球的运动来测量心外膜应变。相对于舒张末期,轴向和周向拉格朗日应变峰值出现在收缩末期附近,且数值相似。这些应变的大小沿心脏纵轴变化(-0.16±0.08),在原始右心室末端附近较大,在心室中部附近较小。面内剪切应变小于0.05。心动周期中理论应变与实验应变的比较总体显示出良好的一致性。此外,该模型在收缩末期的心肌层中给出了强烈的应力集中。