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Publication Detail
The natural frequencies of microbubble oscillation in elastic vessels
  • Publication Type:
    Journal article
  • Publication Sub Type:
    Article
  • Authors:
    Martynov S, Stride E, Saffari N
  • Publisher:
    ACOUSTICAL SOC AMER AMER INST PHYSICS
  • Publication date:
    12/2009
  • Pagination:
    2963, 2972
  • Journal:
    J ACOUST SOC AM
  • Volume:
    126
  • Issue:
    6
  • Print ISSN:
    0001-4966
  • Language:
    EN
  • Keywords:
    bioacoustics, biomechanics, biomedical ultrasonics, blood vessels, bubbles, elasticity, fluid oscillations, Navier-Stokes equations, surface acoustic waves, ULTRASOUND CONTRAST AGENTS, TRANSIENT CAVITIES, ACOUSTIC RESPONSE, BUBBLE COLLAPSE, SOLID BOUNDARY, MICROVESSELS, DELIVERY, DRUG
  • Addresses:
    Martynov, S
    UCL
    Dept Mech Engn
    London
    WC1E 7JE
    England
Abstract
A theoretical model for the dynamics of a bubble in an elastic blood vessel is applied to study numerically the effect of confinement on the free oscillations of a bubble. The vessel wall deformations are described using a lumped-parameter membrane-type model, which is coupled to the Navier-Stokes equations for the fluid motion inside the vessel. It is shown that the bubble oscillations in a finite-length vessel are characterized by a spectrum of frequencies, with distinguishable high-frequency and low-frequency modes. The frequency of the high-frequency mode increases with the vessel elastic modulus and, for a thin-wall vessel, can be higher than the natural frequency of bubble oscillations in an unconfined liquid. In the limiting case of an infinitely stiff vessel wall, the frequency of the low-frequency mode approaches the well-known solution for a bubble confined in a rigid vessel. In order to interpret the results, a simple two-degree-of-freedom model is applied. The results suggest that in order to maximize deposition of acoustic energy, a bubble confined in a long elastic vessel has to be excited at frequencies higher than the natural frequency of the equivalent unconfined bubble.
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Dept of Mechanical Engineering
Dept of Mechanical Engineering
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