Yu. F. Marchuk

Correlation and fractal structure of Jones matrices of human bile secret

The interrelation of orientation, anisotropy structure of biological tissue architectonics and topological element distribution of Johns Matrices is investigated here. It is researched the analytical correlation of bioobject Johns matrices microstructure with matrix element indices measured in the far field of Fraunhofers diffraction. The investigation is also dealt with the computer modeling and experimental researching the structure of matrix operator of multifractal amorphous - crystalline organization of different morphological structure biological tissues.

Singular Structure of Polarization Images of Bile Secret in Diagnostics of Human Physiological State

There have been theoretically analyzed the ways of the formation of the polarization singularities of the biological tissues images of various morphological structures. There have been also experimentally examined the coordinate distributions of a single and doubly degenerated polarization singularities of the physiologically normal and pathologically changed biological tissues. There have been determined the statistical criteria of diagnostics of the kidney tissue collagenous disease (the 3rd and the 4th statistical moments of the linear density singularity points). It was found out that the process of the pathological change of the kidney tissue morphology leads to the formation of the self-similar (fractal) distribution of the polarization singularities of its image.

Laser polarization-variable autofluorescence of the network of optically anisotropic biological tissues: Diagnostics and differentiation of early stages of cancer of cervix uteri

This research presents the results of investigation of laser polarization fluorescence of biological layers (histological sections, cytological smears) in the task of diagnostics and differentiation of early stages of cancer: Dysplasia — cervical microinvasive carcinoma of cervix uteri. The analytical conditions of polarization-optimal probing of biological layers were determined basing on the model of linear birefringence and dichroism of birefringent (fibrillar, porphyrin) networks. The technique of polarization-variable laser autofluorescence was developed and experimentally tested. The objective criteria (statistical moments) of differentiation of histological sections autofluorescent images of endometrium biopsy and cytological smears of it mucous coat were defined. The operational characteristics (sensitivity, specificity, accuracy) of this technique were determined concerning the positions of probative medicine, and clinical efficiency.

Birefringence images of polycrystalline films of human urine in early diagnostics of kidney pathology

We propose an optical model of the Mueller-matrix description of mechanisms of optical anisotropy of polycrystalline films of urine, namely, optical activity and birefringence. The algorithm of reconstruction of distributions of parameters-optical rotation angles and phase shifts of the indicated anisotropy types-are elaborated upon. The objective criteria of differentiation of urine films taken from healthy donors and albuminuria patients by means of statistical analysis of such distributions are determined. The operational characteristics (sensitivity, specificity, and accuracy) of the Mueller-matrix reconstruction method of the optical anisotropy parameters are defined.

Mueller-matrix differentiation of fibrillar networks of biological tissues with different phase and amplitude anisotropy

The work consists of investigation results of diagnostic efficiency of a new azimuthally stable Mueller-matrix method of analysis of laser autofluorescence coordinate distributions of biological tissues histological sections. A new model of generalized optical anisotropy of biological tissues protein networks is proposed in order to define the processes of laser autofluorescence. The influence of complex mechanisms of both phase anisotropy (linear birefringence and optical activity) and linear (circular) dichroism is taken into account. The interconnections between the azimuthally stable Mueller-matrix elements characterizing laser autofluorescence and different mechanisms of optical anisotropy are determined. The statistic analysis of coordinate distributions of such Mueller-matrix rotation invariants is proposed. Thereupon the quantitative criteria (statistic moments of the 1st to the 4th order) of differentiation of histological sections of uterus wall tumor – group 1 (dysplasia) and group 2 (adenocarcinoma) are estimated.

System of polarization correlometry of polycrystalline layers of urine in the differentiation stage of diabetes

The work consists of investigation results of diagnostic efficiency of a new azimuthally stable Muellermatrix method of analysis of laser autofluorescence coordinate distributions of biological liquid layers. A new model of generalized optical anisotropy of biological tissues protein networks is proposed in order to define the processes of laser autofluorescence. The influence of complex mechanisms of both phase anisotropy (linear birefringence and optical activity) and linear (circular) dichroism is taken into account. The interconnections between the azimuthally stable Mueller-matrix elements characterizing laser autofluorescence and different mechanisms of optical anisotropy are determined. The statistic analysis of coordinate distributions of such Mueller-matrix rotation invariants is proposed. Thereupon the quantitative criteria (statistic moments of the 1st to the 4th order) of differentiation of human urine polycrystalline layers for the sake of diagnosing and differentiating cholelithiasis with underlying chronic cholecystitis (group 1) and diabetes mellitus of degree II (group 2) are estimated.

Multifunctional polarization tomography of optical anisotropy biological layers in diagnosis of endometriosis

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 polycristalline networks of blood plasma layers of donors (group 1) and patients with endometriosis (group 2). 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.

Wavelet analysis of polarization maps of the myocardium tissue microscopic images in the diagnosis of the causes of death

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.

Polarization-correlation microscopy of human liquid polycrystalline films in infertility diagnosis

A new azimuthally stable polarimetric method for processing of microscopic images of optically anisotropic structures of different biological layers blood plasma is proposed. A new model of phase anisotropy definition of biological tissues by using superposition of Mueller matrices of linear birefringence and optical activity is proposed. The matrix element M44 has been chosen as the main information parameter, which value is independent of rotation angle of both sample and probing beam polarization plane.

The structure of polarization maps of skin histological sections in the Fourier domain for the tasks of benign and malignant formations differentiation

The optical model of birefringent networks of biological tissues is presented. The technique of Fourier polarimetry for selection of manifestations of linear and circular birefringence of protein fibrils is suggested. The results of investigations of statistical (statistical moments of the 1st-4th orders), correlation (dispersion and excess of autocorrelation functions) and scalar-self-similar (logarithmic dependencies of power spectra) structure of Fourier spectra of polarization azimuths distribution of laser images of skin samples are presented. The criteria of differentiation of postoperative biopsy of benign (keratoma) and malignant (adenocarcinoma) skin tumors are determined.