Of concern in the paper is an analytical study of the left ventricular wall stresses due to cardiac contraction. The study has been performed by developing a mathematical model for the intact heart, where the heart is represented as a volume of revolution of cardiod. The study is based on the consideration that during systole, the interstitial pressure is negligibly small compared to the left ventricular pressure. It is assumed that the shear stress on the outer surface of the heart is zero except in the region where the right ventricle wraps around the left ventricle. The results indicate that the increased diastolic filling contracts the ventricle more forcefully, whereby a larger amount of blood is ejected. This is in agreement with the Frank-Starling principle. Theoretical analysis of another alternative model for the heart, viz. a volume of revolution of lemniscate is also presented.

中文翻译：

---

心脏收缩期间左心室壁的应力分布：数学模型研究

本文关注的是对心脏收缩引起的左心室壁应力的分析研究。该研究是通过开发完整心脏的数学模型来进行的，其中心脏表示为心电图的旋转量。该研究基于以下考虑，即在收缩期，间质压力与左心室压力相比可以忽略不计。假设心脏外表面的剪切应力为零，除了右心室环绕左心室的区域。结果表明，增加的舒张期充盈使心室收缩得更有力，从而射出更多的血液。这与 Frank-Starling 原则一致。心脏的另一种替代模型的理论分析，即。