Effects of refractive index on near-infrared tomography of the breast

Refractive index of biological tissues: Review, measurement techniques, and applications

Refractive index (RI) is a characteristic optical variable that controls the propagation of light in the medium (e.g., biological tissues). Basic research with the aim to investigate the RI of biological tissues is of paramount importance for biomedical optics and associated applications. Herein, we reviewed and summarized the RI data of biological tissues and the associated insights. Different techniques for the measurement of RI of biological tissues are also discussed. Moreover, several examples of the RI applications from basic research, clinics and optics industry are outlined. This study may provide a comprehensive reference for RI data of biological tissues for the biomedical research and beyond.

An extended analytical approach for diffuse optical imaging

In this work, we introduce an analytical method to solve the diffusion equation in a cylindrical geometry. This method is based on an integral approach to derive the Green's function for specific boundary conditions. Using our approach, we obtain comprehensive analytical solutions with the Robin boundary condition for diffuse optical imaging in both two and three dimensions. The solutions are expressed in terms of the optical properties of tissue and the amplitude and position of the light source. Our method not only works well inside the tissue but provides very accurate results near the tissue boundaries as well. The results obtained by our method are first compared with those obtained by a conventional analytical method then validated using numerical simulations. Our new analytical method allows not only implementation of any boundary condition for a specific problem but also fast simulation of light propagation making it very suitable for iterative image reconstruction algorithms.

Analytical reconstruction of the bioluminescent source with priors

Bioluminescence imaging has been a popular tool in small animal imaging. During the last decade, the efforts have focused on the development of tomographic systems. However, due to the difficulties in the nature of inverse source problem, multi-modal systems have been the center of attention for the last couple of years. These systems provide complementary information such that the difficulties of the inverse source problem could be overcome using the a priori information obtained. Motivated by these advances in multi-modal systems, this work presents a novel analytical reconstruction of the bioluminescent source. It is shown that if source strength is known a priori then source position could be calculated or vice versa, if source location is known a priori, source strength could be calculated as well as the photon fluence rate. The determination of the source location can be achieved by another imaging system such as X-ray computed tomography. Therefore, in bioluminescence tomography together with an imaging system can be utilized as a multi-modal system. In this work, conventional finite element based simulations are also performed and the numerical results are compared with the analytical ones. It turns out to be that the analytical results are in a good accordance with the numerical results.

The reproducibility of optical mammography in healthy volunteers

This study was designed to determine the reproducibility of optical mammography. Eight healthy pre-menopausal volunteers were scanned at different time intervals (minutes, weeks and months apart) to investigate the effects of within-subject variation, between-subject variation and systematic variations on both the raw data and images. The study shows that the greatest source of variation in optical mammography raw data and images is between different subjects, and scans of the same subject are very reproducible. The averaged total haemoglobin concentration from the eight volunteers was (24 ± 10) µM, and the average tissue oxygen saturation was (70 ± 10)%, which is comparable with other data in the literature. The average absorption coefficient at 780 nm was (0.0048 ± 0.0017) mm(-1) and the average reduced scatter coefficient at 780 nm was (0.80 ± 0.12) mm(-1). Again, this is comparable with published values. When our data are combined with the published values, the weighted average total haemoglobin concentration and tissue oxygen saturation for pre-menopausal breasts are (29 ± 8) µM and (73 ± 3)%, respectively. The results of our study show that we can be reassured that any changes within the tumour region seen during neoadjuvant therapy are likely to be due to a real physiological response to treatment, as the physiological properties of the breast remain relatively constant. However, in this study, we cannot distinguish between a tumour response to treatment and systemic changes in the healthy breast.

Monte Carlo simulation of NIR diffuse reflectance in the normal and diseased human breast tissues

The spectral reflectance measurements in tissue reveal physiological meaning. Normally, functional changes like, increase in total hemoglobin concentration, decrease in oxygen saturation, etc., are observed when there is an abnormality creeping in the normal tissue. These functional changes can act together to reveal disease by non-invasive near-infrared (NIR) spectroscopy, as it influence its optical properties. In the present study, a simple two dimensional, four layer model of breast is proposed. The four layers are (i) skin (ii) adipose layer (iii) glandular tissue and (iv) muscle. Each layer is modeled with appropriate biological chromophores like hemoglobin, water, lipid and melanin. From the literature, the concentrations and molar extinction coefficients of the chromophores in various layers of the model are obtained. These values are used to calculate the wavelength dependent absorption characteristics of a particular layer. Monte Carlo simulation of diffuse reflectance (percentage of back reflected photons after multiple scattering with the broad variety of angles) are simulated for the modeled breast tissue with and without diseased condition. Near-infrared wavelengths are chosen, as the depth of penetration in tissue is more compared to UV and visible region. Simulations are carried out on the modeled breast tissue for different races (skin colors) at different NIR wavelengths. Results show significant changes in diffuse reflectance and relative absorbance for normal and diseased breast tissues for differently pigmented model. This model can be used to study the photo dynamical therapy, drug delivery and prognosis of cancer.

Diffuse light propagation in a turbid medium with varying refractive index: Monte Carlo modeling in a spherically symmetrical geometry

We report on the development of Monte Carlo software that can model media with spatially varying scattering coefficient, absorption, and refractive index. The varying refractive index is implemented by calculating curved photon paths in the medium. The results of the numerical simulations are compared with analytical solutions obtained using the diffusion approximation. The model under investigation is a scattering medium that contains a spherically symmetrical inclusion (inhomogeneity) created by variation in optical properties and having no sharp boundaries. The following steady-state cases are considered: (a) a nonabsorbing medium with a spherically symmetrical varying refractive index, (b) an inclusion with varying absorption and scattering coefficients and constant refractive index, and (c) an inclusion with varying absorption, scattering, and refractive index. In the latter case it is shown that the interplay between the absorption coefficient and the refractive index may create the effect of a hidden inclusion.

Refractive index of carcinogen-induced rat mammary tumours

Near-infrared optical techniques for clinical breast cancer screening in humans are rapidly advancing. Based on the computational inversion of the photon diffusion process through the breast, these techniques rely on optical tissue models for accurate image reconstruction. Recent interest has surfaced regarding the effect of refractive index variations on these reconstructions. Although many data exist regarding the scattering and absorption properties of normal and diseased tissue, no measurements of refractive index appear in the literature. In this paper, we present near-infrared refractive index data acquired from N-methyl-N-nitrosourea-induced rat mammary tumours, which are similar in pathology and disease progression to human ductal carcinoma. Eight animals, including one control, were employed in this study, yielding data from 32 tumours as well as adjacent adipose and connective tissues.

Iterative reconstruction method for light emitting sources based on the diffusion equation

Bioluminescent imaging (BLI) of luciferase-expressing cells in live small animals is a powerful technique for investigating tumor growth, metastasis, and specific biological molecular events. Three-dimensional imaging would greatly enhance applications in biomedicine since light emitting cell populations could be unambiguously associated with specific organs or tissues. Any imaging approach must account for the main optical properties of biological tissue because light emission from a distribution of sources at depth is strongly attenuated due to optical absorption and scattering in tissue. Our image reconstruction method for interior sources is based on the deblurring expectation maximization method and takes into account both of these effects. To determine the boundary of the object we use the standard iterative algorithm-maximum likelihood reconstruction method with an external source of diffuse light. Depth-dependent corrections were included in the reconstruction procedure to obtain a quantitative measure of light intensity by using the diffusion equation for light transport in semi-infinite turbid media with extrapolated boundary conditions.