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Contributions to the mathematical biophysics of the cardiovascular system

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Abstract

The reflection of pressure waves in a fluid enclosed within a tube with an elastic wall is studied for the case of a localized change in diameter of the tube. The concept of impedance is introduced. The relation of the reflection characteristics of the parts of the tube at either side of the change is derived on the basis of the continuity of pressure and mass flow at the site of the change. This relations is used to derive the expression for the ratio of the pressure oscillations measured in front of, and behind, the constriction in terms of the constants of the system. As a result, a method is indicated to locate the coarctation from measurements of the pressures in front of, and behind it.

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Literature

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Authors and Affiliations

  1. Committee on Mathematical Biology, The University of Chicago, Chicago, USA

    George Karreman

Authors
  1. George Karreman
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Karreman, G. Contributions to the mathematical biophysics of the cardiovascular system. Bulletin of Mathematical Biophysics 15, 185–195 (1953). https://doi.org/10.1007/BF02476384

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  • DOI: https://doi.org/10.1007/BF02476384

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