Sunagawa K, Sagawa K, Maughan W L
Ann Biomed Eng. 1984;12(2):163-89. doi: 10.1007/BF02584229.
The purpose of this investigation was to develop a theoretical framework to predict stroke volume (and therefore cardiac output) when the ventricle is coupled with the arterial impedance. The ultimate objective is to arrive at an analytical description of cardiac output in the closed hydraulic loop of the entire circulatory system on the basis of the properties of the major system components. We developed the framework of analysis of ventriculo-arterial coupling by characterizing both the ventricle and arterial system in terms of the end-systolic pressure vs. stroke volume (Pes-SV) relationships. This approach, motivated by the load-insensitivity of ventricular end-systolic pressure-volume relationship (ESPVR), yielded stroke volume as the intersection between the ventricular Pes-SV relationship and arterial Pes-SV relationship. The theoretical outcome was validated by comparing the stroke volume predicted as a result of interaction between a given ventricular ESPVR and a set of arterial impedances against those SVs actually measured by imposing the same arterial impedance on the isolated canine ventricles. Furthermore, because of the mathematical simplicity of this approach, it enabled us to describe cardiac output in the closed circulatory loop with a small set of analytical equations. We conclude that the proposed framework is useful in analyzing the ventriculo-arterial coupling and various mechanisms which affect cardiac output in the closed circulatory loop.
本研究的目的是建立一个理论框架,用于预测心室与动脉阻抗耦合时的每搏输出量(进而预测心输出量)。最终目标是基于主要系统组件的特性,对整个循环系统的封闭液压回路中的心输出量进行分析描述。我们通过根据收缩末期压力与每搏输出量(Pes-SV)关系来表征心室和动脉系统,建立了心室-动脉耦合分析框架。这种方法受心室收缩末期压力-容积关系(ESPVR)对负荷不敏感的启发,得出每搏输出量为心室Pes-SV关系与动脉Pes-SV关系的交点。通过将给定心室ESPVR与一组动脉阻抗相互作用预测的每搏输出量与在离体犬心室上施加相同动脉阻抗实际测量的每搏输出量进行比较,验证了理论结果。此外,由于该方法在数学上的简单性,它使我们能够用一小组分析方程来描述封闭循环回路中的心输出量。我们得出结论,所提出的框架有助于分析心室-动脉耦合以及影响封闭循环回路中心输出量的各种机制。