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      Influence of the phase function in generalized diffuse reflectance models: review of current formalisms and novel observations

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          Abstract.

          Diffuse reflectance spectroscopy, which has been demonstrated as a noninvasive diagnostic technique, relies on quantitative models for extracting optical property values from turbid media, such as biological tissues. We review and compare reflectance models that have been published, and we test similar models over a much wider range of measurement parameters than previously published, with specific focus on the effects of the scattering phase function and the source-detector distance. It has previously been shown that the dependence of a forward reflectance model on the scattering phase function can be described more accurately using a variable, γ , which is a more predictive variable for reflectance than the traditional anisotropy factor, g . We show that variations in the reflectance model due to the phase function are strongly dependent on the source-detector separation, and we identify a dimensionless scattering distance at which reflectance is insensitive to the phase function. Further, we evaluate how variations in the phase function and source-detector separation affect the accuracy of inverse property extraction. By simultaneously fitting two or more reflectance spectra, measured at different source-detector separations, we also demonstrate that an estimate of γ can be extracted, in addition to the reduced scattering and absorption coefficients.

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          Most cited references52

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          Mechanisms of light scattering from biological cells relevant to noninvasive optical-tissue diagnostics.

          We have studied the optical properties of mammalian cell suspensions to provide a mechanistic basis for interpreting the optical properties of tissues in vivo. Measurements of the wavelength dependence of the reduced scattering coefficient and measurements of the phase function demonstrated that there is a distribution of scatterer sizes. The volumes of the scatterers are equivalent to those of spheres with diameters in the range between ~0.4 and 2.0 mum. Measurements of isolated organelles indicate that mitochondria and other similarly sized organelles are responsible for scattering at large angles, whereas nuclei are responsible for small-angle scattering. Therefore optical diagnostics are expected to be sensitive to organelle morphology but not directly to the size and shape of the cells.
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            Diffuse reflectance spectroscopy of human adenomatous colon polyps in vivo.

            Diffuse reflectance spectra were collected from adenomatous colon polyps (cancer precursors) and normal colonic mucosa of patients undergoing colonoscopy. We analyzed the data by using an analytical light diffusion model, which was tested and validated on a physical tissue model composed of polystyrene beads and hemoglobin. Four parameters were obtained: hemoglobin concentration, hemoglobin oxygen saturation, effective scatterer density, and effective scatterer size. Normal and adenomatous tissue sites exhibited differences in hemoglobin concentration and, on average, in effective scatterer size, which were in general agreement with other studies that employ standard methods. These results suggest that diffuse reflectance can be used to obtain tissue information about tissue structure and composition in vivo.
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              Optical properties of normal and cancerous human skin in the visible and near-infrared spectral range.

              Differences in absorption and/or scattering of cancerous and normal skin have the potential to provide a basis for noninvasive cancer detection. In this study, we have determined and compared the in vitro optical properties of human epidermis, dermis, and subcutaneous fat with those of nonmelanoma skin cancers in the spectral range from 370 to 1600 nm. Fresh specimens of normal and cancerous human skin were obtained from surgeries. The samples were rinsed in saline solution and sectioned. Diffuse reflectance and total transmittance were measured using an integrating sphere spectrophotometer. Absorption and reduced scattering coefficients were calculated from the measured quantities using an inverse Monte Carlo technique. The differences between optical properties of each normal tissue-cancer pair were statistically analyzed. The results indicate that there are significant differences in the scattering of cancerous and healthy tissues in the spectral range from 1050 to 1400 nm. In this spectral region, the scattering of cancerous lesions is consistently lower than that of normal tissues, whereas absorption does not differ significantly, with the exception of nodular basal cell carcinomas (BCC). Nodular BCCs exhibit significantly lower absorption as compared to normal skin. Therefore, the spectral range between 1050 and 1400 nm appears to be optimal for nonmelanoma skin cancer detection.
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                Author and article information

                Journal
                J Biomed Opt
                J Biomed Opt
                JBOPFO
                JBO
                Journal of Biomedical Optics
                Society of Photo-Optical Instrumentation Engineers
                1083-3668
                1560-2281
                15 July 2014
                July 2014
                : 19
                : 7
                : 075005
                Affiliations
                [a ]Boston University , Department of Biomedical Engineering, 44 Cummington Street, Boston, Massachusetts 02215
                [b ]Synopsys Inc. , 377 Simarano Drive, Marlborough, Massachusetts 01752
                [c ]Boston University , Department of Electrical and Computer Engineering, 8 St. Mary’s Street, Boston, Massachusetts 02215
                Author notes
                [* ]Address all correspondence to: Katherine W. Calabro, E-mail: katherine.w.calabro@ 123456gmail.com
                Article
                JBO-140061R 140061R
                10.1117/1.JBO.19.7.075005
                4161006
                25027000
                892e7d37-0f00-4386-82ba-e490737f1603
                © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.
                History
                : 31 January 2014
                : 27 April 2014
                : 27 May 2014
                Page count
                Figures: 11, Tables: 3, References: 55, Pages: 15
                Funding
                Funded by: NIN/NCI
                Award ID: U54 CA104677
                Categories
                Research Papers: General
                Paper
                Custom metadata
                Calabro and Bigio: Influence of the phase function in generalized diffuse reflectance models…

                Biomedical engineering
                reflectance spectroscopy,phase function,scattering,reflectance models
                Biomedical engineering
                reflectance spectroscopy, phase function, scattering, reflectance models

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