Taber L A, Chabert S
Department of Biomedical Engineering, Washington University, Campus Box 1097, St Louis, MO 63130, USA.
Biomech Model Mechanobiol. 2002 Jun;1(1):29-43. doi: 10.1007/s10237-002-0002-3.
A theoretical model is presented for growth and remodeling in the developing embryonic heart. The model is a thick-walled tube composed of two layers of orthotropic pseudoelastic material. The analysis includes stress and strain dependent volumetric growth, with changes in material properties specified to reflect the evolving structure of the heart wall. For use in model validation, experimental measurements of ventricular opening angles are reported for 3-4-day old chick embryos under control and pressure overload conditions. Owing to changes in residual stress in the overloaded heart, the opening angle decreased from 31 +/- 10 degrees to -8 +/- 12 degrees (mean +/- SD) within 12 h and then increased slightly. The opening angle at 12 h was significantly less than the control value. With an appropriate choice of parameters, the model yields reasonable agreement with these and other published opening angle data, as well as with temporal changes in lumen radius, wall thickness, epicardial strains, and pressure-volume curves during development before and after birth.
提出了一个关于发育中的胚胎心脏生长和重塑的理论模型。该模型是一个由两层正交各向异性伪弹性材料组成的厚壁管。分析包括应力和应变相关的体积生长,并指定材料特性的变化以反映心脏壁不断演变的结构。为了用于模型验证,报告了在对照和压力过载条件下3 - 4日龄鸡胚心室开口角度的实验测量结果。由于过载心脏中残余应力的变化,开口角度在12小时内从31±10度降至 - 8±12度(平均值±标准差),然后略有增加。12小时时的开口角度显著小于对照值。通过适当选择参数,该模型与这些以及其他已发表的开口角度数据,以及出生前后发育过程中管腔半径、壁厚、心外膜应变和压力 - 容积曲线的时间变化产生了合理的一致性。