The bulletin of mathematical biophysics

, Volume 16, Issue 2, pp 159–170 | Cite as

The resonance of the arterial system

  • George Karreman


The arterial system is assumed to consist of two elastic chambers connected by a conducting channel. It is assumed that a current of fluid enters one chamber, whereas the other chamber is drained by a pipe with a certain peripheral resistance. The continuity of the fluid is described by a differential equation for each chamber. The inertia resistance of the conducting channel is taken into consideration.

It is shown that the system may possess a resonance frequency. The latter, if it exists, as well as the damping coefficients are expressed in terms of the elastic moduli of the chambers, the conductivity of the channel, and the peripheral resistance. It is shown that with plausible values of the latter variables the resonance frequency as determined theoretically has the right order of magnitude as found experimentally.


Standing Wave Arterial System Peripheral Resistance Conducting Channel Inertia Resistance 
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Copyright information

© University of Chicago 1954

Authors and Affiliations

  • George Karreman
    • 1
  1. 1.Committee on Mathematical BiologyThe University of ChicagoChicagoUSA

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