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Theory of the measurement of blood flow by the dilution of an indicator

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Abstract

It is shown that the instantaneous concentration of an indicator at one point in a circulation can be related to all previous concentrations at a second point by an integral equation. Solutions of this equation give formulae for the computation of the mean transit time, the flow, and the volume of the circulation between the two points.

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Literature

  • Churchill, Ruel V. 1944.Modern Operational Mathematics in Engineering. New York and London: McGraw-Hill Book Company, Inc.

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  • Hamilton, W. F. and Remington, J. W. 1947. “Comparison of the Time Concentration Curves in Arterial Blood of Diffusible and Non-Diffusible Substances when Injected at a Constant Rate and when Injected Instantaneously.”Am. Jour. Physiol.,148, 35–40.

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  • Stewart, G. N. 1897. “Researches on the Circulation Time and on Influences Which Affect It.”Jour. Physiol.,22, 159–183.

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Authors and Affiliations

  1. college of Medicine, Department of Psychiatry at the Illinois Neuropsychiatric Institute, The University of Illinois, Illinois, USA

    John L. Stephenson

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  1. John L. Stephenson
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Stephenson, J.L. Theory of the measurement of blood flow by the dilution of an indicator. Bulletin of Mathematical Biophysics 10, 117–121 (1948). https://doi.org/10.1007/BF02477486

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  • DOI: https://doi.org/10.1007/BF02477486

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