Complex degree of mutual anisotropy of extracellular matrix of biological tissues

We study the possibility of the differentiation of optical anisotropy properties of biological tissues in different physiological states by means of statistical analysis of coordinate distributions of a new analytical parameter, the complex degree of mutual anisotropy of a network of birefringent filament-like protein crystals.     

Complex polarization-phase and spatial-frequency selections of laser images of blood-plasma films in diagnostics of changes in their polycrystalline structure

We present a theoretical formalism of correlation phase analysis of laser images of human blood plasma with spatial-frequency selection of manifestations of mechanisms of linear and circular birefringence of albumin and globulin polycrystalline networks. Comparative results of the measurement of coordinate distributions of the correlation parameter—the modulus of the degree of local correlation of amplitudes—of laser images of blood plasma taken from patients of three groups—healthy patients (donors), rheumatoid-arthritis patients, and breast-cancer patients—are presented. We investigate values and ranges of change of statistical (the first to fourth statistical moments), correlation (excess of autocorrelation functions), and fractal (slopes of approximating curves and dispersion of extrema of logarithmic dependences of power spectra) parameters of coordinate distributions of the degree of local correlation of amplitudes. Objective criteria for diagnostics of occurrence and differentiation of inflammatory and oncological states are determined.     

高能重离子碰撞中的集体流与空间-动量关联

高能重离子碰撞中,末态粒子的侧向流与椭圆流间存在方位角集体关联,该关联对反应中集体流的性质反映敏感.碰撞时,系统在坐标空间的演化与动量空间的演化过程相互影响,表现出明显的空间-动量关联.不同事件中椭圆流形式的差别与此空间-动量关联有关,反映了系统演化过程的涨落.     

高能重离子碰撞中末态粒子的极角分布

在反应平面内不同极角方向为z轴的质心坐标系中,分析了末态粒子方向角分布的非对称性,建立了一种确定集合侧向流流角的方法.在以流方向为z轴的质心坐标系中研究了Bevalac流光室1.2AGeV Ar+KCl、1.2AGeV Ne+NaF和2.1AGeV Ne+NaF三种反应中末态粒子的极角分布,对末态粒子非对称发射部分所占的比例及其在流方向的集中程度做出了定量的估计.     

Azimuth-invariant mueller-matrix differentiation of the optical anisotropy of biological tissues

A Mueller-matrix model is proposed for analysis of the optical anisotropy of protein networks of optically thin nondepolarizing layers of biological tissues with allowance for birefringence and dichroism. The model is used to construct algorithms for reconstruction of coordinate distributions of phase shifts and coefficient of linear dichroism. Objective criteria for differentiation of benign and malignant tissues of female genitals are formulated in the framework of the statistical analysis of such distributions. Approaches of evidence-based medicine are used to determine the working characteristics (sensitivity, specificity, and accuracy) of the Mueller-matrix method for the reconstruction of the parameters of optical anisotropy and show its efficiency in the differentiation of benign and malignant tumors.     

Flow with photon multiplicity detector: Past and future

Measurements of azimuthal distribution of inclusive photons using the fine granularity pre-shower photon multiplicity detector (PMD) at CERN SPS are used to obtain anisotropy in the azimuthal distributions. These results are used to estimate the anisotropy in the neutral pion distributions. The results are compared with results of charged particle data, both for first order and second order anisotropy. Assuming the same anisotropy for charged and neutral pions, the anisotropy in photons is estimated and compared with the measured anisotropy. The effect of neutral pion decay on the correlation between the first order and the second order event plane is also discussed. Data from PMD can also be used to estimate the reaction plane for studying any anisotropy in particle emission characteristics in the ALICE experiment at the large hadron collider (LHC). In particular, we show that using the event plane from the PMD, it will be possible to measure the anisotropy inJ/Ψ absorption (if any) in the ALICE experiment.     

Time-resolved fluorescence polarization anisotropy and optical imaging of Cybesin in cancerous and normal prostate tissues

Time-resolved polarization-dependent fluorescence of Cybesin in solution and in cancerous and normal prostate tissues were measured. The polarization preservation property of Cybesin in tissue was observed. The fluorescence intensity emitted from a Cybesin-stained cancerous tissue area was found to be much stronger than that from a Cybesin-stained normal tissue area indicating that cancerous prostate tissue takes-up more Cybesin than normal tissue. The polarization anisotropy of Cybesin contained in cancerous prostate tissue was found to be larger than that of Cybesin in normal prostate tissue indicating that a larger degree of polarization was preserved in the Cybesin-stained cancerous tissue due to structures. A static anisotropy component from the emission of cell-bonded Cybesin molecules in tissue and a time-dependent anisotropy component from the emission of un-bonded Cybesin molecules were determined and discussed. The static anisotropy value of Cybesin in stained cancerous tissue was found to be much larger than that in stained normal tissue. The fluorescence polarization difference imaging technique based on the polarization preservation of Cybesin was used to enhance the image contrast between cancerous and normal prostate tissue areas.     

Mueller-matrix diagnostics of optical properties of polycrystalline networks of human blood plasma

The work is oriented toward a study of the possibilities of Mueller-matrix diagnostics of optical anisotropy of birefringent polycrystalline networks of human plasma amino acids. The interrelations between the statistical moments from the first to the fourth orders and fractal dimensionalities, which characterize the coordinate distributions of elements of the Mueller matrix for the blood plasma and the physiological state of the human organism, are determined.     

Review of fluorescence anisotropy decay analysis by frequency-domain fluorescence spectroscopy

This didactic paper summarizes the mathematical expressions needed for analysis of fluorescence anisotropy decays from polarized frequency-domain fluorescence data. The observed values are the phase angle difference between the polarized components of the emission and the modulated anisotropy, which is the ratio of the polarized and amplitude-modulated components of the emission. This procedure requires a separate measurement of the intensity decay of the total emission. The expressions are suitable for any number of exponential components in both the intensity decay and the anisotropy decay. The formalism is generalized for global analysis of anisotropy decays measured at different excitation wavelengths and for different intensity decay times as the result of quenching. Additionally, we describe the expressions required for associated anisotropy decays, that is, anisotropy decays where each correlation time is associated with a decay time present in the anisotropy decay. And finally, we present expressions appropriate for distributions of correlation times. This article should serve as a reference for researchers using frequency-domain fluorometry.     

Formation of a given distribution of anisotropy axes in ferromagnets with regular inhomogeneities

The possibility for forming a given direction distribution of effective anisotropy axes of magnetic blocks is studied in one-dimensional nanogranular structures with alternating directions of local anisotropy axes of crystallites. Analytical expressions are derived for the direction distribution density of effective axes. It is shown that the direction of the anisotropy axes of magnetic blocks is very sensitive to the size of ferromagnetic grains and the degree of misorientation of local axes. Computer simulation is used to verify the derived direction distributions of effective axes of blocks.     

Wavelet-analysis of polarization maps of human blood plasma

Possibilities of local wavelet-analysis of coordinate distributions of polarization azimuths and ellipticity of laser images of blood plasma in healthy and cancer patients are considered. The set of statistical, correlation, and fractal parameters of distributions of wavelet-coefficients characterizing different scales of geometric dimensions of amino acid polycrystalline networks is determined. The criteria for the differentiation of transformation processes of birefringence of optically anisotropic structures of blood plasma at different scales are established.     

Correlation between elastic anisotropy and magnetic susceptibility anisotropy of sedimentary and metamorphic rock

A correlation has been revealed between the types of acoustic anisotropy and magnetic susceptibility anisotropy for specimens from noncrystalline metamorphic and sedimentary rock has been revealed. This correlation makes it possible to assume that the anisotropy of magnetic and acoustic characteristics has the same origin, namely, the rock texture. The pronounced triaxial acoustic anisotropy for specimens of polycrystalline rock in the absence of external forces makes it possible to judge the fracturing caused by tectonic loads and the degree of this fracturing. The large body of available experimental data allows the expectation that it will be possible to obtain empirical dependences suitable for estimating the intensity of geological processes based on the values of the magnetic susceptibility anisotropy and elasticity tensor anisotropy.     

Phase maps of polycrystalline human biological fluids networks: statistical,correlation, and fractal analysis

The complex statistical and fractal analysis of phase properties, inherent to birefringence networks of liquid crystals consisting of optically-thin layers, prepared from synovial fluid taken from human joints, is performed in this work. Within the framework of a statistical approach, the authors have investigated values and ranges for changes of statistical moments of the 1-st to the 4-th orders that characterize coordinate distributions for phase shifts between orthogonal components of amplitudes inherent to laser radiation, transformed by synovial fluid layers, for human joints with various pathologies. The correlation criteria for differentiation of phase maps, describing pathologically changed liquid-crystal networks, have been ascertained. In the framework of the fractal approach, dimensions of self-similar coordinate phase distributions as well as features of transformation of logarithmic dependences for power spectra of these distributions for various types of human joint pathologies are determined.     

Residual polarization of non-coherently backscattered linearly polarized light: the influence of the anisotropy parameter of the scattering medium

The effect of preservation of the residual polarization of backscattered light in the case of multiply scattered disordered media illumination by a linearly polarized plane wave is examined using the path-integral approach and Monte Carlo simulation. Disordered ensembles of non-interacting dielectric particles are considered as the model of scattering media. The influence of the anisotropy parameter of the scattering system on the degree of residual polarization is analysed. Experimental results obtained for various scattering systems at different wavelengths of illuminating light are in satisfactory agreement with the results of theoretical analysis and Monte Carlo simulation. The dependence of statistical properties of the polarization states of backscattered field partial components, such as probability distributions of ellipticity, on the anisotropy parameter is studied.     

高能重离子碰撞中末态粒子分布的非对称性

对Bevalac1.2A GeV Au+Au碰撞实验,根据以流方向为z轴的质心坐标系中末态粒子方位角分布的非对称性为极小的条件,确定了事件中五种质量范围(A=1,2,3,4,5-8)末态粒子的集合侧向流流角.在以流方向为z轴的质心坐标系中研究了不同质量末态粒子极角分布,结果表明质量越大的粒子在流方向分布得越集中,侧向流的“流”值越大.     

Cracking of Homogeneous Self-Gravitating Compact Objects Induced by Fluctuations of Local Anisotropy

We discuss the effect that small fluctuations of local anisotropy (principal stresses unequal) may have on the occurrence of cracking in spherical compact objects. Two families of homogeneous fluid distributions are considered. For both it is shown that departures from equilibrium may lead to the appearance of cracking, only if fluctuations of local anisotropy are allowed. The case of fluctuations in an initially locally isotropic (perfect fluid) configuration deserves particular attention.     

Mechanism of the appearance of angular distribution anisotropy for evaporation neutrons in center-of-mass systems emitting their thermalized fission fragments

Anisotropy in the angular distributions of cascade-evaporation neutrons in center-of-mass systems emitting their fission fragments is analyzed in the context of the quantum theory of fission. It is emphasized that such anisotropy is caused not by bending but by wriggling oscillations of the fissioning nucleus in the vicinity of its point of scission; these lead to the appearance of high-value spins of primary fission fragments [(J)\vec]₁\vec J_1 and [(J)\vec]₂\vec J_2 oriented in a plane perpendicular to direction [(n)\vec]₀\vec n_0 of the axis of symmetry of the fissioning nucleus at the instant of scission. This direction coincides with the asymptotic direction of the emission of fission fragments with a high degree of accuracy. The analytical dependences of the anisotropy coefficient on the orbital momentum l and total spin j in angular distributions of cascade-evaporation neutrons are calculated using the methods developed in analyzing angular distributions of cascade-evaporation gamma quanta. The proper spin of a neutron is shown to have almost no effect on the aforesaid anisotropy coefficient due to the weak dependence of the neutron transmission coefficient T _lj ([`(e)]\bar \varepsilon ) on the values of j.     

Direction of the anisotropy vector of TeV cosmic rays

The preliminary results of measuring the direction of the stellar anisotropy vector of cosmic rays with the Carpet array at the Baksan Neutrino Observatory (Institute for Nuclear Research, Russian Academy of Sciences) are presented. The direction of the anisotropy vector is determined by analyzing the distribution of time delays of the signal from distant detectors of the array with respect to its central part. It is shown that the anisotropy vector has the direction α₀ (R.A.) ≈ 1.5 h, δ₀ ≈ 62° in the equatorial coordinate system. At such a direction, the CR anisotropy measured with the Baksan Underground Scintillation Telescope and the Andyrchi array is ≈0.2%.     

Tight focusing of J0-correlated Gaussian Schell-model beam through high numerical aperture

Based on the vectorial Debye diffraction theory, the tight focusing of a linearly polarized J₀-correlated Gaussian Schell-model (JGSM) beam through high numerical aperture (NA) is investigated. The components of intensity distributions as well as the 3D degree of polarization of light at the focal plane are depicted by numerical integrations, respectively. It is shown that intensity distributions as well as the degree of polarization of focused field not only strongly depend on the global correlation length of the JGSM beam but also relate to the focusing parameter of NA. It is also indicated that the weight of the longitudinal intensity component would enhance in the focal plane, as long as either the correlation length of the JGSM beam or the focusing parameter of NA increases.