Comparison of four mathematical models to analyze indicator-dilution curves in the coronary circulation

Judith Brands, Hans Vink, Jurgen W.G.E. Van Teeffelen*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)
5 Downloads (Pure)


While several models have proven to result in accurate estimations when measuring cardiac output using indicator dilution, the mono-exponential model has primarily been chosen for deriving coronary blood/plasma volume. In this study, we compared four models to derive coronary plasma volume using indicator dilution; the mono-exponential, power-law, gamma-variate, and local density random walk (LDRW) model. In anesthetized goats (N = 14), we determined the distribution volume of high molecular weight (2,000 kDa) dextrans. A bolus injection (1.0 ml, 0.65 mg/ml) was given intracoronary and coronary venous blood samples were taken every 0.5-1.0 s; outflow curves were analyzed using the four aforementioned models. Measurements were done at baseline and during adenosine infusion. Absolute coronary plasma volume estimates varied by ~25% between models, while the relative volume increase during adenosine infusion was similar for all models. The gamma-variate, LDRW, and mono-exponential model resulted in volumes corresponding with literature, whereas the power-model seemed to overestimate the coronary plasma volume. The gamma-variate and LDRW model appear to be suitable alternative models to the mono-exponential model to analyze coronary indicator-dilution curves, particularly since these models are minimally influenced by outliers and do not depend on data of the descending slope of the curve only.

Original languageEnglish
Pages (from-to)1471-1479
Number of pages9
JournalMedical and Biological Engineering and Computing
Issue number12
Publication statusPublished - 1 Dec 2011
Externally publishedYes


  • Coronary indicator-dilution technique
  • Gamma-variate model
  • Local density random walk model
  • Mono-exponential model
  • Power-law model


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