The results of a complex statistical, correlation and fractal analysis of distributions of the magnitude of the real component of the elements of the Jones matrix polycrystalline films of biological fluids of different biochemical composition are presented. The magnitudes and ranges of changes in the set of statistical, correlation, and fractal moments of the 1st to 4th orders, which characterize the Jones-matrix images of dendritic, spherolithic, and combined networks of biological crystals, are determined. A classification system is proposed for the polarization manifestations of the optically anisotropic properties of such polycrystalline structures for the development of the principles for the differential diagnosis of pathological conditions of human organs.
The method of mapping the ellipticity of the polarization image of blood plasma films and the analysis of the statistical moments of the obtained distributions underlies the evaluation of the mammary gland condition is considered in the article. Indicators of sensitivity and specificity of this method were evaluated and graphs of ROC curves for control group, malignant group and benign group were constructed.
Methods and automated systems of direct and Mueller-matrix reproduction of optical anisotropy parameters (orientation of the fast axis and optical phase shift) of two-layer optically thin biological structures are represented. The pathological condition objective assessment is based on the multi-parameter analysis of statistical characteristics (estimates of starting moments of the first order and estimates of the central moments of the second to fourth orders) determined for the coordinate, autocorrelation distributions and logarithmic dependences of the power spectra of the distributions of reproducible anisotropy parameters biological layers. The accuracy of the suggested methods of polarized phase reproduction and analysis of the biological layers structure within the range of 83.7% to 95.3% is estimated.
A theoretical basis for the method of polarization-interference mapping of optically thin polycrystalline films of human biological fluids is given. The coordinate distributions of the value of the local contrast of the interference distributions of the polarization-inhomogeneous microscopic images of polycrystalline films of the synovial fluid of the human joint are investigated. In the framework of the statistical (statistical moments of the 1st-4th order) approaches, objective criteria for the distribution of the values of local contrast are established. The possibility of differentiation of weak changes in the optical anisotropy of blood films of healthy and patients with breast cancer patients is determined.
The Jones matrix mapping of blood plasma films was considered in this paper. The statistical analysis (statistical moments of the 1st - 4th orders) of the obtained elements was carried out. To increase the accuracy and reliability of the diagnosis, the number of informative indicators was increased due to the correlation analysis. which increased the number of inputs to 8. The differentiation of nosologies was based on the rules of fuzzy logic.
A fibroadenoma diagnosing of breast using statistical analysis (determination and analysis of statistical moments of the 1st-4th order) of the obtained polarization images of Jones matrix imaginary elements of the optically thin (attenuation coefficient τ ≤ 0,1 ) blood plasma films with further intellectual differentiation based on the method of “fuzzy” logic and discriminant analysis were proposed. The accuracy of the intellectual differentiation of blood plasma samples to the "norm" and "fibroadenoma" of breast was 82.7% by the method of linear discriminant analysis, and by the "fuzzy" logic method is 95.3%. The obtained results allow to confirm the potentially high level of reliability of the method of differentiation by "fuzzy" analysis.
The combined method of Jones-Mueller matrix mapping and blood plasma films analysis based on the system that
proposed in this paper. Based on the obtained data about the structure and state of blood plasma samples the diagnostic
conclusions can be make about the state of breast cancer patients (“normal” or “pathology”). Then, by using the statistical
analysis obtain statistical and correlational moments for every coordinate distributions; these indicators are served as diagnostic
criterias. The final step is to comparing results and choosing the most effective diagnostic indicators. The paper
presents the results of Mueller-Jones matrix mapping of optically thin (attenuation coefficient ,τ≤0,1) blood plasma layers.
In the paper we explored the possibility of monitoring oxygenation of the tumor tissue through the registration of light diffuse reflectance. This method can also be helpful for assessment the effectiveness of PDT, defining the level of vascular damage and the degree of the tumor oxygenation. We also propose the modification of PDT procedure by using a modulated laser that enables to better maintain the necessary parameters for the PS activation and oxygen generation in irradiated tissues simultaneously allowing to reduce the light dose required for tumor treatment.
KEYWORDS: Electromyography, Principal component analysis, Mahalanobis distance, Signal detection, Signal processing, Action potentials, Algorithm development, Error analysis, Neurology, Analytical research
Research and systematization of motor disorders, taking into account the clinical and neurophysiologic phenomena, are important and actual problem of neurology. The article describes a technique for decomposing surface electromyography (EMG), using Principal Component Analysis. The decomposition is achieved by a set of algorithms that uses a specially developed for analyze EMG. The accuracy was verified by calculation of Mahalanobis distance and Probability error.
The application field of using the Mueller-matrix polarizing reconstruction system of phase structure of biological layer for optical-anisotropic parameters differentiation of histological sections of healthy and rat’s liver with hepatitis were investigated. Comparison of system informativity with known systems on indexes of sensitivity, specificity and balanced accuracy were performed.
The polarizing phase meter system of polycrystalline networks of human blood plasma which is used for the mammary gland pathology diagnostics was proposed in this paper. Increasing the accuracy of the phase value determination was achieved using a combination of low coherent source of radiation and circularly polarized probing of biological object. Thus, high informativity of polarizing phase meter system for the diagnosis of breast pathology using the phase mapping of the human blood plasma films were determined, thereafter statistical, correlational, fractal structure analysis of the obtained phase maps was carried out and the quantitative criterias of the phase diagnostics and differentiation of the breast pathological conditions were determined too.
Multifunctional automated system of 2D laser polarimetry of biological tissues with enhanced functional capabilities
is proposed. Two-layer optically thin (attenuation coefficient τ ≤ 0,1 ) biological structures, formed by "muscle tissue
(MT) - the dermis of the skin (DS)" histological cryosections for the two physiological states (normal - dystrophy) were
investigated. Complex of objective indexes which characterized by 2D polarization reproduced distributions under the
following criteria: histograms of the distributions; statistical moments of the 1st - 4th order; autocorrelation functions;
correlation moments; power spectra logarithmic dependencies of the distributions; fractal dimensions of the distributions;
spectra moments are presented.
The results of optical modeling of biological tissues polycrystalline multilayer networks have been presented.
Algorithms of reconstruction of parameter distributions were determined that describe the linear and circular
birefringence. For the separation of the manifestations of these mechanisms we propose a method of space-frequency
filtering. Criteria for differentiation of benign and malignant tissues of the women reproductive sphere were found.
The theoretical background of azimuthally stable method Jones matrix mapping of histological sections of biopsy
of uterine neck on the basis of spatial-frequency selection of the mechanisms of linear and circular birefringence is
presented. The comparative results of measuring the coordinate distributions of complex degree of mutual anisotropy
formed by fibrillar networks of myosin and collagen fibrils of uterine neck tissue of different pathological states - precancer
(dysplasia) and cancer (adenocarcinoma) are shown. The values and ranges of change of the statistical (moments
of the 1st - 4th order) parameters of complex degree of mutual anisotropy coordinate distributions are studied. The
objective criteria of diagnostics of the pathology and differentiation of its severity degree are determined.
We present a novel measurement method of optic axes orientation distribution which uses a relatively simple measurement setup. The principal difference of our method from other well-known methods lies in direct approach for measuring the orientation of optical axis of polycrystalline networks biological crystals. Our test polarimetry setup consists of HeNe laser, quarter wave plate, two linear polarizers and a CCD camera. We also propose a methodology for processing of measured optic axes orientation distribution which consists of evaluation of statistical, correlational and spectral moments. Such processing of obtained data can be used to classify particular tissue sample as “healthy” or “pathological”. For our experiment we use thin layers of histological section of normal and muscular dystrophy tissue sections. It is shown that the difference between mentioned moments` values of normal and pathological samples can be quite noticeable with relative difference up to 6.26.
The present work is devoted to investigation of mechanisms of optical anisotropy of biological tissues polycrystalline networks and laser polarization fluorescence. The model of complex optical anisotropy, which takes into account both linear and circular birefringence, as well as linear and circular dichroism of fibrillar networks of histological sections of women reproductive sphere is proposed. The data of statistical, correlation and fractal processing of coordinate distributions of laser polarization fluorescence is provided. The technique of azimuthally invariant Mueller-matrix mapping of laser polarization fluorescence of protein networks in the tasks of differentiation of benign and malignant tumors of uterus wall is elaborated.
The present work is devoted to investigation of diagnostic potentiality of 2D Mueller matrix phase tomography of biological tissues of different optical thickness. The data of further statistical, correlation and fractal analysis of phase tomograms for determining objective criteria of diagnostics of physiological state of a patient is provided.
The present work is devoted to investigation of diagnostic potentiality of 2D Mueller matrix phase tomography of
biological tissues of different optical thickness. The data of further statistical, correlation and fractal analysis of phase
tomograms for determining objective criteria of diagnostics of physiological state of a patient is provided.
The present work is devoted to investigation of diagnostic potentiality of differential phase tomography of blood plasma. The data of further statistical, correlation and fractal analysis of phase tomograms for determining objective criteria of diagnostics of physiological state of a patient is provided.
The optical model of polycrystalline networks of biological tissues protein fibrils is presented. The technique of
determining the Mueller-matrix reconstruction of the coordinate distribution of polarization properties of subsurface
layers of biological tissues is suggested. The results of investigating the interrelation between the values of statistical
(statistical moments of the 1st-4th order), correlation (correlation area, asymmetry coefficient and autocorrelation function
excess) and fractal (dispersion of logarithmic dependencies of power spectra) parameters are presented. They
characterize the coordinate distributions of Mueller-matrix elements of subsurface layers of biological tissues and
orientation-phase structure of birefringent network of protein fibrils.
To characterize the degree of consistency of parameters of the optically uniaxial birefringent protein nets of blood
plasma a new parameter - complex degree of mutual anisotropy is suggested. The technique of polarization measuring
the coordinate distributions of the complex degree of mutual anisotropy of blood plasma is developed. It is shown that
statistic approach to the analysis of complex degree of mutual anisotropy distributions of blood plasma is effective in the
diagnosis and differentiation of acute inflammation - acute and gangrenous appendicitis.
The paper is aimed at researching the effectiveness of differentiation of optical anisotropic property of
biological crystal networks by means of the statistic and correlation analysis of new analytical parameter -
the degree of mutual correlation of biological tissues Mueller matrices of different morphological structure
and physiological state.
In this work, we have theoretically grounded conceptions of characteristics points observed in coordinate
distributions of Mueller matrix elements for a network of human tissue biological crystals. Found is
interrelation between polarization singularities of laser images inherent to these biological crystals and
characteristic values of above matrix elements. We have determined criteria for statistical diagnostics of
pathological changes in the birefringent structure of biological crystal network by using myometrium tissue as
an example.
To characterize the degree of consistency of parameters of the optically uniaxial birefringent protein nets of blood
plasma a new parameter - complex degree of mutual anisotropy is suggested. The technique of polarization measuring
the coordinate distributions of the complex degree of mutual anisotropy of blood plasma is developed. It is shown that
statistic approach to the analysis of complex degree of mutual anisotropy distributions of blood plasma is effective in the
diagnosis and differentiation of acute inflammation - acute and gangrenous appendicitis.
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