Instrumentation and techniques in bone density measurement

Dynamic photophysical processes in laser-irradiated human cortical skull bone measured by means of modulated diffuse luminescence

The technique of modulated luminescence of bones was developed experimentally and theoretically and was subsequently used to interpret measurements performed on the cortical layer of human skull bones. The photophysical theory is based on the optical excitation and decay rate equations of the fluorescent endogenous chromophore and on the molecular interaction parameter with the photon field density in the matrix of the bone. An effective mean relaxation lifetime, tau(M), of skull cortical bone was derived theoretically and was found to depend on the endogenous chromophore decay lifetime, tau(2), in the upper energy state, on the generated luminescence field density through its dependence on the incident photon field density and on the thickness of the bone. A linear dependence of tau(M) on laser beam intensity, I0, was found and sensitivity of the value of tau(M) to bone thickness, L, was observed for L < or = 6.2 mm. Both experimental dependencies of tau(M) on I0 and L were in excellent agreement with the theoretical model. The unusually long relaxation luminescence lifetime was accounted for theoretically by means of an excited-state manifold invoking intersystem crossing to a forbidden state followed by decay to the ground state of the chromophore. Best fits to the data were able to yield measurements of the following chromophore and photon field parameters: tau(2)=19.7 ms , optical scattering coefficient mu(s)(659 nm)=44,340 m(-1), optical absorption coefficient mu(a)(659 nm)=13 m(-1), and coupling coefficient B(21)= 1.6 x 10(4) m(3) J(-1) s(-1), the decay coupling coefficient of the endogenous chromophore participating in the optical interaction in the form of stimulated luminescence emission mediated by the luminescence photon field between the long-lived excited state E2 and the lower (ground) state E1. The method of modulated luminescence can be used to measure photophysical properties of the chromophore in cortical skull bones, being a sensitive marker of bone diseases, namely, osteoporosis and cancer.

Electrical impedance spectroscopy as a potential tool for recovering bone porosity

This paper deals with the recovery of porosity of bone from measurements of its effective electrical properties. The microstructural information is contained in the spectral measure in the Stieltjes representation of the bone effective complex permittivity or complex conductivity and can be recovered from the measurements over a range of frequencies. The problem of reconstruction of the spectral measure is very ill-posed and requires the use of regularization techniques. We apply the method to the effective electrical properties of cancellous bone numerically calculated using micro-CT images of human vertebrae. The presented method is based on an analytical approach and does not rely on correlation analysis nor on any a priori model of the bone micro-architecture. However the method requires a priori knowledge of the properties of the bone constituents (trabecular tissue and bone marrow). These properties vary from patient to patient. To address this issue, a sensitivity analysis of the technique was performed. Normally distributed random noise was added to the data to simulate uncertainty in the properties of the constituents and possible experimental errors in measurements of the effective properties. The values of porosity calculated from effective complex conductivity are in good agreement with the true values of bone porosity even assuming high level errors in the estimation of the bone components. These results prove the future potential of electrical impedance spectroscopy for in vivo monitoring of level and treatment of osteoporosis.

The use of Compton scattering to differentiate between classifications of normal and diseased breast tissue

This study describes a technique for measuring the electron density of breast tissue utilizing Compton scattered photons. The Kalpha2 line from a tungsten target industrial x-ray tube (57.97 keV) was used and the scattered x-rays collected at an angle of 30 degrees . At this angle the Compton and coherent photon peaks can be resolved using an energy dispersive detector and a peak fitting algorithm. The system was calibrated using solutions of known electron density. The results obtained from a pilot study of 22 tissues are presented. The tissue samples investigated comprise four different tissue classifications: adipose, malignancy, fibroadenoma and fibrocystic change (FCC). It is shown that there is a difference between adipose and malignant tissue, to a value of 9.0%, and between adipose and FCC, to a value of 12.7%. These figures are found to be significant by statistical analysis. The differences between adipose and fibroadenoma tissues (2.2%) and between malignancy and FCC (3.4%) are not significant. It is hypothesized that the alteration in glucose uptake within malignant cells may cause these tissues to have an elevated electron density. The fibrotic nature of tissue that has undergone FCC gives the highest measure of all tissue types.

Measurement of bone mineral density via light scattering

In this study we have investigated the potential of optical techniques to monitor changes in bone mineral density (BMD) via changes in scattering coefficient. For each of five bone samples, diffuse reflection and transmission coefficients were measured over the wavelength range 520-960 nm using an integrating sphere and CCD spectrometer. These were converted into optical absorption and scattering coefficients using a Monte Carlo inversion procedure. Measurements were made on samples immersed in formic acid solution for different lengths of time in order to investigate the effect of reduction in BMD on the optical properties. After full demineralization, the optical scattering coefficient fell by a factor 4. From the observed degree of fluctuation of the measurements, we estimate that BMD could be measured with an accuracy of 7% if optical scattering can be measured with an accuracy of 10%. We also report preliminary measurements of bone scattering using optical coherence tomography (OCT). An inter-side variability of 3% is obtained on dry samples with and without overlying periosteum. These results suggest that minimally invasive techniques for measuring optical scattering, such as OCT, may have a role in monitoring regional changes in BMD. This could be an important advance in our understanding of bone remodelling and its relationship to osteoarthritis. Both the integrating sphere and OCT measurements also suggest that light transport in bone is spatially anisotropic. OCT was used to assess probability of obtaining results in vivo.

Extracting material parameters from x-ray attenuation: a CT feasibility study using kilovoltage synchrotron x-rays incident upon low atomic number absorbers

The work reported here is a feasibility study of the extraction of material parameters from measurements of the linear x-ray attenuation coefficient of low atomic number absorbers. Computed tomography (CT) scans of small samples containing several liquids and solids were carried out with synchrotron radiation at the Australian National Beamline Facility (BL 20B) in Japan. Average values of the x-ray linear attenuation coefficient were extracted for each material for x-ray energies ranging from 11 keV to 20.5 keV. The electron density was estimated by applying results derived from a parametrization of the x-ray linear attenuation coefficient first developed by Jackson and Hawkes and extended for this work. Average estimates for the electron density of triethanolamine and acetic acid were made to within +5.3% of the actual value. Other materials examined included furfuraldehyde, perspex and teflon, for which average estimates of the electron density were less than 10% in excess of the calculated value.

Quantitative x-ray diffraction analysis of bone and marrow volumes in excised femoral head samples

The aim of this paper is to apply the technique of quantitative x-ray diffraction analysis (QXDA) to trabecular bone tissue to demonstrate that quantitative data of the ratio of bone and marrow volumes within the trabecular region can be obtained. Apparatus has been constructed for measuring energy dispersive x-ray diffraction spectra of human femoral head samples in the diagnostic x-ray energy range. Individual diffraction peaks due to bone and marrow tissue were identified in the measured spectra. The relative intensities of the two peaks within the spectra quantify the relative proportions of the two components, and so the bone to marrow peak ratio is proposed as a parameter which is capable of providing information on the osteoporotic state of trabecular tissue. Preliminary results indicate a significant correlation between this method and the bone density measurement techniques of quantitative computed tomography and Compton scatter densitometry. Results have shown that the use of a synthetically prepared calibration curve can enable absolute measurement of bone or marrow volumes.

Photon absorption measurements of bone density in the presence of scattered radiation

Bone density measurements are frequently carried out using photon absorptiometry techniques. The analysis of data collected in this way depends upon scatter-free detector signals. In practice the detector and source collimation lead to high levels of scattered radiation being detected. An analysis of the problem using photon transport computer models has shown that the current systems are reasonably insensitive to the scatter contribution except where patient changes occur over a long series of measurements or where new results taken with DEXA are compared with those taken on older systems such as DPA. This is frequently the case since the major body of data related to serial bone density measurements has been achieved with DPA. Inclusion of scattered radiation in the bone density calculations can lead to a 0.5-3.5% reduction between system types. Patient size changes could lead to a reduction in bone density of 0.5% (femoral neck measurement) to 1% (lumbar spine measurement).

The effect of bone structure on ultrasonic attenuation and velocity

The relationship between the structure of bovine cancellous bone, and its ultrasonic propagation parameters is investigated by means of a novel technique involving the application of large static loads, thereby changing the porosity in a controlled manner. The results show that for frequencies in the range 0.4 to 1 MHz, porosity decreases up to 35% are associated with a reduction in attenuation of up to 500%, whereas the velocity increases by roughly 35% for the same changes. The data taken overall suggest that in determining the ultrasonic attenuation coefficient at these frequencies, the amount of material in a given bone section is significantly less important than the distribution of that material.

Dependence of the velocity and attenuation of ultrasound in bone on the mineral content

Measurements of the attenuation and velocity of ultrasound from 0.3 to 0.8 MHz have been performed on a number of bovine cancellous bone samples. The influence of bone mineral content has been isolated by measuring the acoustic properties of the samples at various stages of demineralization resulting from controlled nitric acid attack. The correlation coefficient r, between the attenuation at different frequencies and bone density was found to be in the range 0.68-0.97. Broadband ultrasonic attenuation (BUA) was also calculated and produced r values between 0.84 and 0.99. The velocity measurements indicated a correlation greater than 0.97 in all cases. Thus velocity is the parameter most sensitive to changes in bone mineral density alone. Attenuation and BUA are less well correlated presumably because of a sensitivity to minor structural change.