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The dependencies of phase velocity and dispersion on volume fraction in cancellous-bone-mimicking phantoms

2009/02/01 by Keith A. Wear · 5 citations
Chemistry · Medicine · #Anatomy #Bone and Joint Diseases #Bone health and osteoporosis research #Cancellous bone #Chemistry #Composite material #Dispersion (optics) #Hip disorders and treatments #Imaging phantom #Materials science #Nylon 6 #Optics #Phase (matter) #Phase velocity #Physics #Polymer #Protein filament #Thermodynamics #Volume (thermodynamics) #Volume fraction

paper · pdf · doi:10.1121/1.3050310

openalex publication_date 2009/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

Frequency-dependent phase velocity was measured in eight cancellous-bone-mimicking phantoms consisting of suspensions of randomly oriented nylon filaments (simulating trabeculae) in a soft-tissue-mimicking medium (simulating marrow). Trabecular thicknesses ranged from 152 to 356 mum. Volume fractions of nylon filament material ranged from 0% to 10%. Phase velocity varied approximately linearly with frequency over the range from 300 to 700 kHz. The increase in phase velocity (compared with phase velocity in a phantom containing no filaments) at 500 kHz was approximately proportional to volume fraction occupied by nylon filaments. The derivative of phase velocity with respect to frequency was negative and exhibited nonlinear, monotonically decreasing dependence on volume fraction. The dependencies of phase velocity and its derivative on volume fraction in these phantoms were similar to those reported in previous studies on (1) human cancellous bone and (2) phantoms consisting of parallel nylon wires immersed in water.

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