International Journal of Innovative Technology and Exploring Engineering (IJITEE)
ISSN: 2278-3075, Volume-8 Issue-10, August 2019
2964
Retrieval Number J11280881019/2019©BEIESP
DOI: 10.35940/ijitee.J1128.0881019
Published By:
Blue Eyes Intelligence Engineering
& Sciences Publication
Measurement of Bone Density Parameters using
Ultrasound and Hardware Development on bone
Density Measurement
Kunal Khosla, Apurva Naik
Abstract: Ultrasound waves due to their inherent small wave-
length can be used in diagnosis or evaluation of tissue.
Ultrasound simulations can be useful to investigate and analyze
different properties at different sites especially when there is no
volumetric data available. In the proposed paper, simulation of
ultrasound in a 2-D bone model and hardware implementation
has been presented. Due to complex structures of bone, a simple
linear model consisting of both cortical and cancellous bone has
been proposed. In the simulation, a broadband emitter with
center frequency of 1 Megahertz is used along with an array of
receivers to capture the signal. An attempt has been made to
calculate bone density parameters in-vivo for human feet, and
finally display the computed parameters onto a LCD using
Arduino Uno Board. An algorithm involving fourier transforms
was used to calculate Broadband Ultrasound Attenuation (BUA)
and Speed of Sound (SoS) in Matrix Laboratory (MATLAB).
Keywords: Broadband ultrasound attenuation, speed of
sound, simsonic, matrix laboratory, osteoporosis, osteopenia,
quantitative ultrasound.
I. INTRODUCTION
Use of ultrasound frequencies has the diagnostic
capabilities of tissue monitoring, because it can penetrate
the bulk, due to its small wavelength. Its diagnostic
capabilities include Non- Destructive testing (NDT), tissue
healing and foetal health monitoring. There are many
commercial devices available in the market which can be
used to measure T-Score and Z- Score, like the Mini Omni
Portable bone density device by Beamed which applies the
probe onto the tibia and wrist and the Sonost-2000 by
osteosys which is heel densitometer. Dual Energy X-Ray
Absorptiometry (DEXA) scan which is considered a gold
standard in bone density measurement, mea- sures bone
density at various sites, including the hip, vertebrae etc.
Quantitative Computed tomography (QCT) utilizes X-rays
at various angles to take measurements and produce
images which are finally stitched together to give you a
final image. It is used in assessment of risk of fractures.
Biot’s theory derives the equations of wave propagation
in porous media. The idea of Biot’s theory was that the
outcome of an incident sound wave onto a porous solid was
a fast, slow wave along with a shear wave [3], [4]. Some
success has been achieved in modelling sound waves in
cancellous
Revised Manuscript Received on August 10, 2019
Kunal Khosla, Department of Technology, from MIT World Peace
University,
Dr. Apurva Naik, Department of Technology Electronics from Shivaji
University, Kolhapur
bone using different forms of biot’s theory. Except
frequencies greater than 1 MHz, biot’s theory should be
applicable as the wavelengths of the order of 1.5 mm at 1
M Hz are larger than the pore size in bones [5, p. 3286].
A. Bone Models and their material constants
The densities [1, p. 195] and elastic constants [1, p. 195]
can be used as inputs for building nominal bone models
[1, p. 195]. The constants for cortical bone used here were
homogenized (average properties of hard tissue and pores
[1,p. 194]) and transversely anisotropic. The values of
density and elastic constants C
11
, C
22
, C
12
and C
66
for
cortical has been taken from [1, p. 195]. Osteoporotic bones
were simulated by reducing the thickness of the cortical
bone and changing the densities and elastic constants of
the trabecular bone [1,p. 218]. The cortical bone was
considered to be perfectly linear in shape, disregarding any
curvature which can be responsible for change in BUA
values. For cancellous bone, the data has been taken from
[2, p. 667]. 1.6 g/cm
3
and 1.85 g/cm
3
, are assumed to be
densities of an osteoporotic and normal subject
respectively. Elastic constants C
22
, C
66
and C
12
were
derived from C
11
and C
44
using Lame parameters μ , λ and
equations 1 and 2. The data for density is inconsistent as
cortical and cancellous bone density cannot be same
because cortical bone is more dense, however the density
for osteoporotic subjects is lower than normal, which has
been included in these models and one can observe the
changes in attenuation values.
C
11
= C
22
= λ + 2μ (1)
C
44
= μ (2)
For example, the 2-D plate bone model for an
osteoporotic subject has been shown in “Fig. 1”.
B. Simulation Components
To study the nature of bone, a 2-D plate model with
cortical and cancellous bone both were drawn. This model
can be used to assess the mechanical properties for
osteoporotic or normal conditions at different bone sites.
In this Simulation,