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On the theory of indicator-dilution methods under varying blood-flow conditions

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Abstract

The theory of measurement of flow and volume by indicator dilution techniques is given in conditions of time-variable flow rates. It is shown that the usual Hamilton (1932,Am. J. Physiol.,99, 534–551) methods can be misleading if the flow changes at a rate of close to that of the transport function.

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Literature

  • Hamilton, W. F., J. M. Kinsman, J. W. Moore, and R. G. Spurling. 1932. “Studies of the Circulation: IV. Further Analysis of the Injection Method, and of Changes in Hemodynamics under Physiological and Pathological Conditions.”Am. J. Physiol.,99, 534–551.

    Google Scholar 

  • Meier, P. and K. L. Zierler. 1954. “On the Theory of the Indicator-Dilution Method for Measurement of Blood Flow and Volume.”J. of Appl. Physiol.,12, 731–744.

    Google Scholar 

  • Stephenson, J. L. 1948. “Theory of the Measurement of Blood Flow by the Dilution of an Indicator.”Bull. Math. Biophysics,10, 117–121.

    Google Scholar 

  • Stephenson, J. L. 1958. “Theory of Measurement of Blood Flow by Dye Dilution Techniques.”IRE Transactions on Medical Electronics, PGME,12, 82–88.

    Article  Google Scholar 

  • Stewart, G. N. 1897. “Researches on the Circulation Time and on the Influences Which Affect It: IV. The Output of the Heart.”J. Physiol.,22, 159–183.

    Google Scholar 

  • Zadeh, L. H. 1950. “Frequency Analysis of Variable Networks.”Proc. IRE,38, 291–299.

    MathSciNet  Google Scholar 

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Author notes

  1. Herbert Sherman (Associate Staff)

    Present address: Peter Bent Brigham Hospital, Boston, Masachusetts, USA

Authors and Affiliations

  1. Lincoln Laboratory, Massachusetts Institute of Technology, Masachusetts, USA

    Herbert Sherman (Associate Staff)

Authors
  1. Herbert Sherman
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Operated with support from the United States Army, Navy, and Air Force.

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Sherman, H. On the theory of indicator-dilution methods under varying blood-flow conditions. Bulletin of Mathematical Biophysics 22, 417–424 (1960). https://doi.org/10.1007/BF02476723

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  • DOI: https://doi.org/10.1007/BF02476723

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