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Determination of cancellous bone density using low frequency acoustic measurements

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In this article we offer a novel method for interrogating cancellous bone using ultra sound measurements. The problem is first modelled in terms of the acoustic pressure in the water bath surrounding the bone sample, the pore pressure and the displacement of the elastic matrix describing the cancellous bone specimen. The fluid pressure in the water tank is represented in terms of a boundary integral equation. Source points are placed on a parallel line on one side of the bone; whereas, receivers are placed on the other side of the bone. Sensitivity tests are run for two frequencies which show that the corresponding inverse problem leads to reasonable good results.

Keywords: cancellous bone; inverse problems; ultrasound

Document Type: Research Article


Affiliations: Department of Mathematical Sciences, University of Delaware, Newark, DE, USA

Publication date: October 1, 2008

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