Abstract

The hemoglobin-dilution method (HDM) has been used to estimate changes in vascular volumes in patients because direct measurements with radioisotopes are time-consuming and not practical in many facilities. The HDM requires an assumption of initial blood volume, repeated measurements of plasma hemoglobin concentration, and the calculation of the ratio of hemoglobin measurements. The statistics of these ratio distributions resulting from measurement error are ill-defined even when the errors are normally distributed. This study uses a “Monte Carlo” approach to determine the distribution of these errors. The finding was that these errors could be closely approximated with a log-normal distribution that can be parameterized by a geometric mean (X) and a dispersion factor (S). When the ratio of successive Hb concentrations is used to estimate blood volume, normally distributed hemoglobin measurement errors tend to produce exponentially higher values of X and S as the SD of the measurement error increases. The longer tail of the distribution to the right could produce much greater overestimations than would be expected from the SD values of the measurement error; however, it was found that averaging duplicate and triplicate hemoglobin measurements on a blood sample greatly improved the accuracy.

Highlights

  • Vascular volume changes have been estimated from blood hemoglobin concentration ([Hb]푏) changes for some time

  • Dill and Costill [1] in 1974 used this method along with hematocrit changes to estimate the changes in the volumes of blood (BV), plasma (PV), and red cells (RCV) due to dehydration

  • hemoglobin-dilution method (HDM) and its modifications all require calculation of the ratio of [Hb]푏 values at various time points compared to an initial [Hb]푏 determination; the effect of measurement errors on the accuracy of these volume determinations has never been adequately explored

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Summary

Introduction

Vascular volume changes have been estimated from blood hemoglobin concentration ([Hb]푏) changes for some time. HDM and its modifications all require calculation of the ratio of [Hb]푏 values at various time points compared to an initial [Hb]푏 determination; the effect of measurement errors on the accuracy of these volume determinations has never been adequately explored. This task is not as easy as it might appear as the statistical distribution of these ratios is not straightforward. The purpose of the present study to us is a “Monte Carlo” approach to investigate the statistical properties of the ratio of [Hb]푏 values when used in a volume determination and show how the errors can be much larger than expected

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