Linton R A, Linton N W, Band D M
Applied Physiology, St. Thomas' Hospital, London, UK.
Cardiovasc Res. 1995 Dec;30(6):930-8.
We are currently developing a new indicator dilution method of measuring cardiac output using lithium chloride as the indicator. The aim of the present study was to develop a simple and accurate method of deriving the area under the primary indicator dilution curve: that is, the area which would have been inscribed had there been no recirculation of the indicator.
A model based upon the representation of the mixing in the circulation as similar to that of the passage of an impulse through a series of filter elements was studied. This was represented physically by a model which consisted of a series of mixing chambers. The model was analysed theoretically using Laplace transforms and was used to test the new method of deriving the area of primary indicator dilution curves.
Theoretical analysis showed that such a filter model produces curves which closely approximate the shape of a lognormal distribution over a range of skewness greater than that of human indicator dilution curves. The single pass curves from the physical model were shown to be similar in shape to lognormal distributions, as were the curves obtained from patients to the point when recirculation occurred. A method of estimating the area under the primary curve based upon the lognormal distribution was developed and equations derived. The use of these equations to calculate flows from lithium dilution curves in the mixing chamber model was validated by comparing the results with simultaneous timed collection.
Theoretical justification for treating primary indicator dilution curves as lognormal is presented. A simple method of deriving the integral of the primary indicator dilution curve is described. It uses the whole of the curve up to a point short of recirculation, avoiding the problem which can occur with the classical Hamilton extrapolation method when the cardiac output is low and recirculation distorts the primary curve in the early part of the washout.
我们目前正在开发一种新的使用氯化锂作为指示剂测量心输出量的指示剂稀释法。本研究的目的是开发一种简单而准确的方法来推导主要指示剂稀释曲线下的面积,即如果指示剂没有再循环时所围成的面积。
研究了一个基于将循环中的混合表示为类似于脉冲通过一系列过滤元件的模型。这在物理上由一个由一系列混合室组成的模型来表示。使用拉普拉斯变换对该模型进行了理论分析,并用于测试推导主要指示剂稀释曲线面积的新方法。
理论分析表明,这样的过滤模型产生的曲线在大于人体指示剂稀释曲线的偏度范围内非常接近对数正态分布的形状。物理模型的单次通过曲线显示出与对数正态分布相似的形状,从患者获得的曲线在再循环发生之前也是如此。开发了一种基于对数正态分布估计主要曲线下面积的方法并推导了方程。通过将结果与同时定时收集的结果进行比较,验证了使用这些方程从混合室模型中的锂稀释曲线计算流量的方法。
提出了将主要指示剂稀释曲线视为对数正态分布的理论依据。描述了一种推导主要指示剂稀释曲线积分的简单方法。它使用了直到再循环之前一点的整个曲线,避免了当心输出量低且再循环在洗脱早期使主要曲线变形时经典汉密尔顿外推法可能出现的问题。