Band-target entropy minimization (BTEM) has been applied to extraction of component spectra from hyperspectral Raman images. In this method singular value decomposition is used to calculate the eigenvectors of the spectroscopic image data set. Bands in non-noise eigenvectors that would normally be used for recovery of spectra are examined for localized spectral features. For a targeted (identified) band, information entropy minimization or a closely related algorithm is used to recover the spectrum containing this feature from the non-noise eigenvectors, plus the next 5-30 eigenvectors, in which noise predominates. Tests for which eigenvectors to include are described. The method is demonstrated on one synthesized Raman image data set and two bone tissue specimens. By inclusion of small amounts of signal that would be unused in other methods, BTEM enables the extraction of a larger number of component spectra than are otherwise obtainable. An improvement in signal/noise ratio of the recovered spectra is also obtained.
Bone tissue is a composite material consisting of carbonated apatite crystals (usually called mineral in the bone tissue literature) deposited on a matrix that is largely composed of type I collagen, with about 10% other proteins and glycoproteins. The Raman spectrum of bone is rich with signatures for both mineral and matrix. In this paper we will show how Raman microspectroscopy and and imaging can be used to study diseased tissue and also how these methodologies can be used to probe the the mechanical properties of bone at the ultrastructural (molecular) level. As with most other tissues, bone fluorescence is easily excited with green lasers, so that Raman spectra are most conveniently excited in the near infrared.A typical bone tissue Raman spectrum is shown as Figure 1a. Characteristic bands of mineral and matrix are labeled. As bone tissue matures the mineral becomes more heavily carbonated and the 1070 cm -1 /958 cm -1 intensity ratio increases. Some substitution of carbonate for phosphate is observed even in the earliest mineral formed prenatally [1]. The normal process of bone tissue development can be followed by microspectroscopy. Additionally, there are Raman markers for mechanical damage to both bone mineral and bone matrix [2]. Depending on the conditions mechanical stress can result in reversible and irreversible changes.Genetic, metabolic and other diseases of bones may cause two kinds of spectroscopically observable changes. First, there can be an alteration in the ratio of bone mineral to bone matrix. Second, there can be changes in the chemical structure of mineral, matrix or both. Changes in mineral/matrix ratio are observable as changes in band ratios without changes in band positions. Structural changes cause changes in the Raman shifts as well as the intensities of mineral and matrix bands. We will present spectra and images showing both classes of alterations, including cases where both classes of change are observed in the same specimen.
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