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Periodic and aperiodic phases of circulatory mixing

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Abstract

A modification is presented of an earlier theory of the mixing of dye following injection into the circulation. Approximate theoretical relations are given for the concentration of dye in the right heart and in the aorta following right atrial injection. It is shown that when the probability distribution of transit times around the circulation has a prolonged tail, mixing waves are now inscribed about a quasi-exponential relation. Later in time the relation levels off to a uniform asymptotic concentration corresponding to an equilibrium volume of dilution.

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Authors and Affiliations

  1. Dept. of Physiology and Clinical Physiology Laboratories, University of Tennessee Medical Units, Memphis, Tenn

    C. W. Sheppard & G. B. Spurr

Authors
  1. C. W. Sheppard
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  2. G. B. Spurr
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Supported in part by Research Grant HE-09495 from the National Institutes of Health.

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Sheppard, C.W., Spurr, G.B. Periodic and aperiodic phases of circulatory mixing. Bulletin of Mathematical Biophysics 27 (Suppl 1), 65–70 (1965). https://doi.org/10.1007/BF02477262

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  • DOI: https://doi.org/10.1007/BF02477262

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