A quantitative ultrasound model of the bone with blood as the interstitial fluid

نویسندگان

  • Robert P. Gilbert
  • Philippe Guyenne
  • M. Yvonne Ou
چکیده

A variant of the Biot–Johnson model of a poroelastic material is investigated to see if the viscosity of the interstitial fluid is significant in the ultrasound insonification of non-defatted cancellous bone. The equations of motion are derived using a Lagrangian formulation. Numerical experiments are performed on various bone samples. It is shown that the viscosity of the interstitial fluid does indeed signify in the ultrasound frequency range. © 2011 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Mathematical and Computer Modelling

دوره 55  شماره 

صفحات  -

تاریخ انتشار 2012