Low L R, Windham J P, Farison J B, Potvin W J
IEEE Trans Biomed Eng. 1989 Sep;36(9):935-45. doi: 10.1109/10.35302.
A discrete-time, lumped-parameter mathematical model of the human cardiopulmonary circulation as it appears during a first-transit radionuclide study is developed. Eleven compartments, four delays, and 26 transfer paths are modeled, including the entire circulation from an input compartment before the vena cava to an output compartment after the aorta. The 26 transfer paths include forward and reverse flow through the heart valves, backflow from the atria into the veins, and five types of shunts. A method of modeling continuously-variable delay segments with only discrete-time sample points is devised to allow more versatility in specifying delays. The model simulates discrete time-activity curves for the various compartments of the cardiopulmonary system. The curves are obtained for end-systole and end-diastole. Simulation of curves indicative of a normal heart and several heart defects is presented. The use of this model for computer analysis of first-transit cardio-radionuclide curves is discussed.
建立了一个离散时间、集总参数的人体心肺循环数学模型,该模型呈现首次通过放射性核素研究期间的情况。对11个房室、4个延迟和26条转移路径进行了建模,包括从腔静脉前的输入房室到主动脉后的输出房室的整个循环。这26条转移路径包括通过心脏瓣膜的正向和反向血流、从心房回流到静脉以及五种类型的分流。设计了一种仅使用离散时间采样点对连续可变延迟段进行建模的方法,以在指定延迟方面具有更大的通用性。该模型模拟了心肺系统各个房室的离散时间-活性曲线。这些曲线是在收缩末期和舒张末期获得的。给出了正常心脏和几种心脏缺陷的曲线模拟。讨论了该模型在首次通过心脏放射性核素曲线的计算机分析中的应用。