4π light scattering flow cytometry: enhancing the identification and characterization of individual cells

The analysis of individual particles with complex morphologies from light scattering is crucial in disperse systems studies, such as blood cells. Characterization, which assumes determining particle characteristics, has a higher likelihood of succeeding in solving the inverse light-scattering problem if an instrument provides enough light-scattering data. In this study, we demonstrate how we extend the operating angular interval for the 4π Scanning Flow Cytometer (4πSFC), which measures angle-resolved light-scattering profiles (LSPs) of individual particles. The angular interval is extended by additionally measuring light scattering for the backward hemisphere. Currently, the 4πSFC setup uses three lasers, a single optical cell, and three photomultipliers. It enables the measurement of the LSP of individual particles within the angular interval of 10 to 170° for polar angles with integration over azimuth angles, which covers the spatial angle of 98.5% of the 4π angle. We demonstrate the 4πSFC's performance in measuring LSPs from the analysis of polymer beads, mature and spherized erythrocytes, and platelets. The 4πSFC has the potential to be very useful in identifying platelet dimers and granulocytes without labels, characterizing lymphocytes, monocytes, and abnormal erythrocytes.

Kinetic titration method in flow cytometry for quantification of cell receptors

For the quantitative determination of cell receptors by fluorescence flow cytometry, we proposed a new method, which takes into account the reaction kinetics. The binding reaction of the ligand with receptors begins after placing the cells in the ligand solution. In the proposed method, there are several samples with the same concentration of cells and different initial concentrations of fluorescently labeled ligand, and each sample is measured by a flow cytometer once at the time when the following condition is met: the product of the incubation time (cells with ligand) and the initial concentration of ligand is the same for all samples. The proposed approach eliminates disadvantages and combines advantages of both kinetic and titration methods for quantification of receptors on single cells without the use of traditional calibration fluorescent beads. Practical application of the method was demonstrated in quantification of CD8 and CD14 on peripheral blood human leukocytes. Particularly, we found decreased (by a factor of two) mean number of CD14 on monocytes and granulocytes in patients with atherosclerosis (treated in the hospital) compared to conditionally healthy donors, whereas no difference was found in the mean CD8 expression on leukocytes between the same patient and donor groups.

A light scatter based model relating erythrocyte vesiculation to lifetime in circulation

Methods for measuring erythrocyte age distribution are not available as a simple analytical tool. Most of them utilize the fluorescence or radioactive isotopes labeling to construct the age distribution and support physicians with aging indices of donor's erythrocytes. The age distribution of erythrocyte may be a useful snapshot of patient state over 120-days period of life. Previously, we introduced the enhanced assay of erythrocytes with measurement of 48 indices in four categories: concentration/content, morphology, aging and function (10.1002/cyto.a.24554). The aging category was formed by the indices based on the evaluation of the derived age of individual cells. The derived age does not exactly mean the real age of erythrocytes and its evaluation utilizes changes of cellular morphology during a lifespan. In this study, we are introducing the improved methodological approach that allows us to retrieve the derived age of individual erythrocytes, to construct the aging distribution, and to reform the aging category consisting of eight indices. The approach is based on the analysis of the erythrocyte vesiculation. The erythrocyte morphology is analyzed by scanning flow cytometry that measures the primary characteristics (diameter, thickness, and waist) of individual cells. The surface area (S) and sphericity index (SI) are calculated from the primary characteristics and the scattering diagram SI versus S is used in the evaluation of the derived age of each erythrocyte in a sample. We developed the algorithm to evaluate the derived age that provides eight indices in the aging category based on a model using light scatter features. The novel erythrocyte indices were measured for simulated cells and blood samples of 50 donors. We determined the first-ever reference intervals for these indices.

Valence tautomeric transition of bis(o-dioxolene) cobalt complex in solid state and solution

Valence tautomer transition occurs mainly in 3d metalorganic complexes with redox-active ligands and makes them potential candidates for single-molecular switches. The transition occurs under temperature, pressure, or light-induced stimuli and is strongly affected by the intermolecular interactions. However single-crystal x-ray diffraction is not always applicable to such systems when crystal structure is destroyed upon transition or system is studied in the solution. Such an example is bis(o-semiquinonato) cobalt complex with TEMPO-functionalized iminopyridine ancillary ligand. In this work we apply two complementary techniques-ligand-sensitive Fourier transform infrared spectroscopy (FTIR) and metal sensitive Co K-edge x-ray absorption spectroscopy (XAS). In a solid state, a temperature hysteresis of magnetization larger than 40 K was observed upon cyclic cooling-heating. So, the temperature of phase transition upon cooling is about 40 K lower than that upon heating. In solution, the x-ray absorption spectra for high-temperature and low-temperature states were similar to that in the solid form, but the hysteresis was absent. Two methods are can probe valence tautomer transition, but XAS has an advantage for the liquid phase analysis and FTIR has larger sensitivity to the ligand related interactions in solid.

Proposed Dynamics of CDB3 Activation in Human Erythrocytes by Nifedipine Studied with Scanning Flow Cytometry

Nifedipine is calcium channels and pumps blocker widely used in medicine. However, mechanisms of nifedipine action in blood are not clear. In particular, the influence of nifedipine on erythrocytes is far from completely understood. In this work, applying scanning flow cytometry, we observed experimentally for the first time the dynamics behind a significant increase of HCO₃ ^- /Cl^- transmembrane exchange rate of CDB3 (main anion exchanger, AE1, Band 3, SLC4A1) of human erythrocytes in the presence of nifedipine in blood. It was found that the rate of CDB3 activation is not limited by the rate of nifedipine binding and/or Ca²⁺ transport. In order to explain the experimental data, we suggested a kinetic model assuming that the rate of CDB3 activation is limited by the dynamics of the balance between two intracellular processes (1) the activation of CDB3 limited by its interaction with intracellular Ca²⁺ , and (2) the spontaneous deactivation of CDB3. Thus the use of scanning flow cytometry allowed to clarify quantitatively the molecular kinetic mechanism of nifedipine action on human erythrocytes. In particular, the efficiency (~30) and rates of activation (~0.3 min^-1 ) and deactivation (~10^-3 min^-1 ) of CDB3 in human erythrocytes was evaluated for two donors. © 2019 International Society for Advancement of Cytometry.

Tetrodotoxin and its analogues profile in nemertean species from the sea of Japan

For the first time search for tetrodotoxin (TTX) and its analogues in the extracts of nemerteans using HPLC-MS/MS was performed. TTX analogues were detected in two nemertean species in addition to TTX: 7 analogues were detected in the extract of Cephalothrix simula, 3 analogues - in the extract 11-norTTX of Kulikovia manchenkoi. Presence of 5-deoxyTTX, 11-deoxyTTX, 5,6,11-trideoxyTTX and -6(R)-ol in nemerteans was shown for the first time.

Nuclear apoptotic volume decrease in individual cells: Confocal microscopy imaging and kinetic modeling

The dynamics of nuclear morphology changes during apoptosis remains poorly investigated and understood. Using 3D time-lapse confocal microscopy we performed a study of early-stage apoptotic nuclear morphological changes induced by etoposide in single living HepG2 cells. These observations provide a definitive evidence that nuclear apoptotic volume decrease (AVD) is occurring simultaneously with peripheral chromatin condensation (so called "apoptotic ring"). In order to describe quantitatively the dynamics of nuclear morphological changes in the early stage of apoptosis we suggest a general molecular kinetic model, which fits well the obtained experimental data in our study. Results of this work may clarify molecular mechanisms of nuclear morphology changes during apoptosis.

Chylomicrons against light scattering: The battle for characterization

Chylomicrons (CMs) are lipoprotein particles circulating in blood and transporting dietary lipids. Optically speaking, CMs are small compared to the wavelength of visible light and widely distributed by the size and refractive index (RI). Consequently, intensity of light scattered by the CMs scales with up to the sixth power of their size, hampering simultaneous analysis of 60 and 600 nm CMs. We present an accurate method for quantitative characterization of large-size CM subpopulation by the distributions over size and RI. For the first time the CM characteristics have been determined at a single particle level based on angle-resolved light-scattering measurements. We applied the developed method to 2 key processes relating to CM metabolism, namely in vivo dynamics of CMs in blood plasma after a meal and in vitro lipolysis of CMs by the lipoprotein lipase in postheparin plasma. We have observed the substantial variations in CM concentration, size and RI distributions. This opens the way for a multitude of medical applications involving screening of CM metabolism, which we exemplified by revealing large differences in CM characteristics after a 12-hour fast between a healthy volunteer and a patient with atherosclerosis.

Calibration-free quantitative immunoassay by flow cytometry: Theoretical consideration and practical implementation for IgG antibody binding to CD14 receptors on human leukocytes

We propose a calibration-free method to determine the number of receptors per cell, as well as the direct and the reverse reaction rate constants for a single receptor. The method is based on the analysis of the temporal evolution of the cells mean fluorescent intensity measured by a flow cytometer during the ligand-receptor (antigen-antibody) binding under the conditions of their comparable concentrations. We developed the kinetic approach accounting both for the delay between the dilution and the measurement and for the practical duration of the measurement itself. The method was applied to determine thenumber of CD14 receptors on human blood mononuclear (granulocytes, monocytes, lymphocytes) cells of several donors. We also obtained the direct ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mo>+</mml:mo></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math> (5.6 ± 0.2) × 10⁷ M^-1 min^-1 ) and reverse ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mo>-</mml:mo></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math> (1.3 ± 0.2) × 10^-2 min^-1 ) rate constants of ligand-receptor interaction, and estimated the size of the binding site as b = 0.5 nm. The latter allows one to recalculate the rate constants for a different ligand, fluorescent label, medium viscosity, and/or temperature. The knowledge of the rate constants is essential for the calibration-free determination of the number of receptors per cell from a single kinetic curve of the cells mean fluorescence intensity.

[Optimization of the algorithm for the detection and the differential non-pharmacological correction of the risk factors and the preclinical stages of atherosclerosis at the level of the health resort-based primary care]

This article presents the results of a comparative prospective study of 276 subjects at the age between 40 and 65 years presenting with risk factors (RF) of atherosclerosis and its preclinical stages (APC). All of them were reckoned to be at a moderate risk of developing APC based on the results of evaluation with the use of the SCORE scale which implied the necessity of their differential non-pharmacological treatment during a two-year period with the application of a variety of preventive therapeutic strategies. The patients were allocated to three different (initially comparable) groups. The main group (group 1) was comprised of 98 subjects who received the optimized combined treatment including climatotherapy, dietary therapy, psychotherapy, hydrotherapy, physiotherapy, and hypoxytherapy; in addition, they were involved in the program of therapeutic physical exercises and in the educational program. The group of comparison (group 2) consisted of 88 subjects who were advised to withstand pernicious habits, to keep to the prescribed diet, and intensify the physical activity. The subjects included in the control group 3 were given no preventive treatment whatsoever. The optimized system for the early diagnostics and identification of the risk factors and/or ACD was employed for examining the members of group 1. By the end of the study, risk factors of atherosclerosis and APC were documented in 86.2% and 76.6% of the patients of group 1, respectively. The number of disability days averaged 7.2 per person versus 16.3 and 22.6 in comparison and control groups, respectively. There were no newly diagnosed cases of cardiovascular diseases (CVD) over the study period among the patients of group 1, in contrast to 11.4% and 25.6% such cases in groups 2 and 3, respectively. The results of this study give evidence that the optimized strategy of non-pharmacological correction of the risk factors and the preclinical stages of atherosclerosis at the level of the health resort-based primary care has advantages over the standard therapy because it makes it possible to reduce the frequency of development of new cases of cardiovascular diseases and to decrease the disability rate. It is concluded that the proposed approach enhances the effectiveness of primary prophylaxis of cardiovascular diseases associated with atherosclerosis and relieves the burden of this pathology. It can therefore be recommended for the more extensive application at the level of the health resort-based primary care settings.

Light-scattering gating and characterization of plasma microparticles

Flow cytometry method (FCM) is widely used for analysis of cell-derived microparticles (MPs). Numerous efforts are currently aimed to standardize these measurements among different instruments. We push the FCM characterization of MPs to the limit based on rigorous simulation of measured signals. We measured forward- and side-scatter (FSC/SSC) signals and angle-resolved light-scattering profiles (LSPs) of polystyrene microspheres and MPs, including their aggregates, using a scanning flow cytometer (SFC). We used the Mie theory to (1) accurately evaluate instrument detection limits; (2) construct FSC/SSC gates for MPs in absolute scales of size and refractive index (RI); and (3) determine size and RI of individual spherical MPs. LSPs were used for advanced characterization, including differentiation of spherical and nonspherical particles. The proposed absolute FSC/SSC gating is naturally standardized for any FCM instrument, given the knowledge of its optical system and leads to instrument-independent analysis of MPs. The inverse Mie problem has a unique solution only for some regions of size and RI and uncertainties rapidly increase with decreasing size and RI. The developed methods are applicable to any flow cytometer, but are limited by assumption of particle sphericity. The latter can be relaxed only if additional signals, such as LSP, are measured.

[Early diagnostics, prophylaxis, and non-pharmacological treatment of the preclinical stages of atherosclerosis and arterial hypertension]

Cardiovascular diseases remain the leading cause of death in most countries, including Russia. Non-pharmacological-modalities intended for the primary prevention of cardiovascular disease including hypertension and atherosclerosis currently acquire special significance. The objective of the present*study was to develop a system of methods for early diagnostics, prevention and treatment of the preclinical stages of atherosclerosis and hypertension Another objective was to estimate the effectiveness of these methods. A total of 310 patients at risk-of arterial hypertension and atherosclerosis or with pre-clinical stages of these conditions were examined during a two year observation period. The system of early diagnosis and non-pharmacological primary prevention of cardiovascular disease was developed and evaluated using climatotherapeutic and physiotherapeutic methods in combination with and personalized dietary therapy, hypoxic-hypercapnic factors and educational programs. The study has demonstrated that the proposed system allowed to significantly (p < 0.05) reduce cardiovascular morbidity. The patients of the main group experienced the reduction of abdominal obesity and blood pressure along with the improvement of the blood lipid profile and other indicators. These parameters remained unaltered in the patients comprising the control group. In the main group, the incidence of coronary heart disease and hypertension was 62.5% and 81.25% lower respectively than in the control group.

Mature red blood cells: from optical model to inverse light-scattering problem

We propose a method for characterization of mature red blood cells (RBCs) morphology, based on measurement of light-scattering patterns (LSPs) of individual RBCs with the scanning flow cytometer and on solution of the inverse light-scattering (ILS) problem for each LSP. We considered a RBC shape model, corresponding to the minimal bending energy of the membrane with isotropic elasticity, and constructed an analytical approximation, which allows rapid simulation of the shape, given the diameter and minimal and maximal thicknesses. The ILS problem was solved by the nearest-neighbor interpolation using a preliminary calculated database of 250,000 theoretical LSPs. For each RBC in blood sample we determined three abovementioned shape characteristics and refractive index, which also allows us to calculate volume, surface area, sphericity index, spontaneous curvature, hemoglobin concentration and content.

Influence of magnesium sulfate on HCO3/Cl transmembrane exchange rate in human erythrocytes

Magnesium sulfate (MgSO4) is widely used in medicine but molecular mechanisms of its protection through influence on erythrocytes are not fully understood and are considerably controversial. Using scanning flow cytometry, in this work for the first time we observed experimentally (both in situ and in vitro) a significant increase of HCO3(-)/Cl(-) transmembrane exchange rate of human erythrocytes in the presence of MgSO4 in blood. For a quantitative analysis of the obtained experimental data, we introduced and verified a molecular kinetic model, which describes activation of major anion exchanger Band 3 (or AE1) by its complexation with free intracellular Mg(2+) (taking into account Mg(2+) membrane transport and intracellular buffering). Fitting the model to our in vitro experimental data, we observed a good correspondence between theoretical and experimental kinetic curves that allowed us to evaluate the model parameters and to estimate for the first time the association constant of Mg(2+) with Band 3 as KB~0.07mM, which is in agreement with known values of the apparent Mg(2+) dissociation constant (from 0.01 to 0.1mM) that reflects experiments on enrichment of Mg(2+) at the inner erythrocyte membrane (Gunther, 2007). Results of this work partly clarify the molecular mechanisms of MgSO4 action in human erythrocytes. The method developed allows one to estimate quantitatively a perspective of MgSO4 treatment for a patient. It should be particularly helpful in prenatal medicine for early detection of pathologies associated with the risk of fetal hypoxia.

Dynamic quantification of antigen molecules with flow cytometry

Traditional methods for estimating the number of expressed molecules, based on the detection of target antigens bound with fluorescently labeled antibodies, assume that the antigen-antibody reaction reaches equilibrium. A calibration procedure is used to convert the intensity of the fluorescence signal to the number of target molecules. Along with the different limitations of every calibration system, this substantially limits the applicability of the traditional approaches especially in the case of low affinity antibodies. We address this problem here with studies in which we demonstrate a new approach to the antigen molecule quantification problem. Instead of using a static calibration system, we analyzed mean fluorescence values over time by flow cytometry during antibody-antigen binding. Experimental data obtained with an LSRII cytometer were fitted by a diffusion-reaction mathematical model using the Levenberg-Marquardt nonlinear least squares curve-fitting algorithm in order to obtain the number of target antigen molecules per cell. Results were compared with the Quanti-BRITE calibration system. We conclude that, instead of using experiment-specific calibration, the value of the binding rate constant for each particular antibody-antigen reaction can be used to quantify antigen molecules with flow cytometry. The radius of CD8 antibody molecule binding site was found, that allows recalculating the binding rate constant for other conditions (different sizes of reagent molecules, fluorescent label, medium viscosity and temperature). This approach is independent of specially prepared calibration beads, antibody reagents and the specific dye and can be applied to both low and high affinity antibodies, under both saturating and non-saturating binding conditions. The method was demonstrated on a human blood sample dataset investigating CD8α antigen on T cells in stable binding conditions.

Additivity of light-scattering patterns of aggregated biological particles

The paper is focused on light scattering by aggregates of optically soft particles with a size larger than the wavelength, in particular, blood platelets. We conducted a systematic simulation of light scattering by dimers and larger aggregates of blood platelets, each modeled as oblate spheroids, using the discrete dipole approximation. Two-dimensional (2-D) light scattering patterns (LSPs) and internal fields showed that the multiple scattering between constituent particles can be neglected. Additionally, we derived conditions of the scattering angle and orientation of the dimer, under which the averaging of the 2-D LSPs over the azimuthal scattering angle washes out interference in the far field, resulting in averaged LSPs of the aggregate being equal to the sum of that for its constituents. We verified theoretical conclusions using the averaged LSPs of blood platelets measured with the scanning flow cytometer (SFC). Moreover, we obtained similar results for a model system of aggregates of polystyrene beads, studied both experimentally and theoretically. Finally, we discussed the potential of discriminating platelet aggregates from monomers using the SFC.

Arrangement of nuclear structures is not transmitted through mitosis but is identical in sister cells

Although it is well known that chromosomes are non-randomly organized during interphase, it is not completely clear whether higher-order chromatin structure is transmitted from mother to daughter cells. Therefore, we addressed the question of how chromatin is rearranged during interphase and whether heterochromatin pattern is transmitted after mitosis. We additionally tested the similarity of chromatin arrangement in sister interphase nuclei. We noticed a very active cell rotation during interphase, especially when histone hyperacetylation was induced or transcription was inhibited. This natural phenomenon can influence the analysis of nuclear arrangement. Using photoconversion of Dendra2-tagged core histone H4 we showed that the distribution of chromatin in daughter interphase nuclei differed from that in mother cells. Similarly, the nuclear distribution of heterochromatin protein 1β (HP1β) was not completely identical in mother and daughter cells. However, identity between mother and daughter cells was in many cases evidenced by nucleolar composition. Moreover, morphology of nucleoli, HP1β protein, Cajal bodies, chromosome territories, and gene transcripts were identical in sister cell nuclei. We conclude that the arrangement of interphase chromatin is not transmitted through mitosis, but the nuclear pattern is identical in naturally synchronized sister cells. It is also necessary to take into account the possibility that cell rotation and the degree of chromatin condensation during functionally specific cell cycle phases might influence our view of nuclear architecture.

Accurate measurement of volume and shape of resting and activated blood platelets from light scattering

We introduce a novel approach for determination of volume and shape of individual blood platelets modeled as an oblate spheroid from angle-resolved light scattering with flow-cytometric technique. The light-scattering profiles (LSPs) of individual platelets were measured with the scanning flow cytometer and the platelet characteristics were determined from the solution of the inverse light-scattering problem using the precomputed database of theoretical LSPs. We revealed a phenomenon of parameter compensation, which is partly explained in the framework of anomalous diffraction approximation. To overcome this problem, additional a priori information on the platelet refractive index was used. It allowed us to determine the size of each platelet with subdiffraction precision and independent of the particular value of the platelet aspect ratio. The shape (spheroidal aspect ratio) distributions of platelets showed substantial differences between native and activated by 10 μM adenosine diphosphate samples. We expect that the new approach may find use in hematological analyzers for accurate measurement of platelet volume distribution and for determination of the platelet activation efficiency.

[Optimization of the-spa-and-resort treatment of the patients with metabolic syndrome]

The present study included 271 patients presenting with metabolic syndrome. It was designed to compare the efficacy of traditional and optimized therapeutic modalities for the management of this condition. The modified treatment program included climatotherapy, dietary therapy, physical exercises, hydro-balneotherapy, hypoxic hyperkapnotherapy, and education. The study demonstrated that the proposed therapeutic program increased the efficiency of the spa-and-resort treatment.

Light-scattering flow cytometry for identification and characterization of blood microparticles

We describe a novel approach to study blood microparticles using the scanning flow cytometer, which measures light scattering patterns (LSPs) of individual particles. Starting from platelet-rich plasma, we separated spherical microparticles from non-spherical plasma constituents, such as platelets and cell debris, based on similarity of their LSP to that of sphere. This provides a label-free method for identification (detection) of microparticles, including those larger than 1 μm. Next, we rigorously characterized each measured particle, determining its size and refractive index including errors of these estimates. Finally, we employed a deconvolution algorithm to determine size and refractive index distributions of the whole population of microparticles, accounting for largely different reliability of individual measurements. Developed methods were tested on a blood sample of a healthy donor, resulting in good agreement with literature data. The only limitation of this approach is size detection limit, which is currently about 0.5 μm due to used laser wavelength of 0.66 μm.

[Nucleus DNA content measurement methods features]

We suggest a new theoretical method of the flow cytometry DNA histograms and apply it for Drosophila melanogaster imaginal discs cells. The model gives a possibility to determine the proportions of cells in G1, G2 (M) and S cell cycle phases. We show that the precision of G1 and G2 (M) DNA content measurements is limited by the precision of device zero signal arrangement. The usage of calculated device zero and dividing cells as the DNA content standards may improve the precision of DNA content measurements. We also compared the precisions of different DNA content methods and draw the conclusion that the current precisions of different methods are similar and lie within 2-6% interval.

A nonfitting method using a spatial sine window transform for inhomogeneous effective-diffusion measurements by FRAP

Determining averaged effective diffusion constants from experimental measurements of fluorescent proteins in an inhomogeneous medium in the presence of ligand-receptor interactions poses problems of analytical tractability. Here, we introduced a nonfitting method to evaluate the averaged effective diffusion coefficient of a region of interest (which may include a whole nucleus) by mathematical processing of the entire cellular two-dimensional spatial pattern of recovered fluorescence. Spatially and temporally resolved measurements of protein transport inside cells were obtained using the fluorescence recovery after photobleaching technique. Two-dimensional images of fluorescence patterns were collected by laser-scanning confocal microscopy. The method was demonstrated by applying it to an estimation of the mobility of green fluorescent protein-tagged heterochromatin protein 1 in the nuclei of living mouse embryonic fibroblasts. This approach does not require the mathematical solution of a corresponding system of diffusion-reaction equations that is typical of conventional fluorescence recovery after photobleaching data processing, and is most useful for investigating highly inhomogeneous areas, such as cell nuclei, which contain many protein foci and chromatin domains.

[Sanatorium and spa treatment of patients with isolated and combined pathology of the cardiovascular system and metabolism]

The present study involved 720 patients with metabolic syndrome, diabetes mellitus, coronary heart disease, hypertensive disease, and various combinations of these conditions examined in the course of sanatorium and spa treatment. The patients received either traditional or modified therapy. The latter modality included climato-balneotherapy, hypoxytherapy, bioresonance therapy, and hypercapnotherapy supplemented by the intake of Arfazetin herbal tea, Magnerot tablets, and Chvizhepse mineral water. Results of the study indicate that the proposed combined treatment had more pronounced curative effect compared with traditional therapy in patients of all groups included in this study.

Experimental study of the heat transport processes in dusty plasma fluid

The results are given of an experimental investigation of heat transport processes in fluid dusty structures in rf-discharge plasmas under different conditions: for discharge in argon, and for discharge in air under an action of electron beam. The analysis of steady-state and unsteady-state heat transfer is used to obtain the coefficients of thermal conductivity and thermal diffusivity under the assumption that the observed heat transport is associated with a thermal conduction in the dusty component of plasmas. The temperature dependence of these coefficients is obtained, which agrees qualitatively with the results of numerical simulation for simple monatomic liquids.

Experimental and theoretical study of light scattering by individual mature red blood cells by use of scanning flow cytometry and a discrete dipole approximation

Elastic light scattering by mature red blood cells (RBCs) was theoretically and experimentally analyzed by use of the discrete dipole approximation (DDA) and scanning flow cytometry (SFC), respectively. SFC permits measurement of the angular dependence of the light-scattering intensity (indicatrix) of single particles. A mature RBC is modeled as a biconcave disk in DDA simulations of light scattering. We have studied the effect of RBC orientation related to the direction of the light incident upon the indicatrix. Numerical calculations of indicatrices for several axis ratios and volumes of RBC have been carried out. Comparison of the simulated indicatrices and indicatrices measured by SFC showed good agreement, validating the biconcave disk model for a mature RBC. We simulated the light-scattering output signals from the SFC with the DDA for RBCs modeled as a disk-sphere and as an oblate spheroid. The biconcave disk, the disk-sphere, and the oblate spheroid models have been compared for two orientations, i.e., face-on and rim-on incidence, relative to the direction of the incident beam. Only the oblate spheroid model for rim-on incidence gives results similar to those of the rigorous biconcave disk model.

Fluorescence-microscopy-based image analysis for analyte-dependent particle doublet detection in a single-step immunoagglutination assay

A novel fluorescence-microscopy-based image analysis method for classification of singlet and doublet latex particles is demonstrated and applied to a particle-based immunoagglutination assay for quantification of biomolecules in microliter-volume bulk samples. The image analysis method, verified by flow cytometric agglutination analysis, is based on a pattern recognition algorithm employing Gaussian-base-function fitting which allows robust identification and counting of singlets, doublets, and higher agglomerates of fluorescent microparticles. The immunoagglutination assay is experimentally modeled by a biotin-streptavidin interaction, with the goal of both theoretically and experimentally investigating the performance of a general immunoagglutination-based assay. For this purpose a theoretical model of the initial agglutination kinetics, based on particle diffusion combined with a steric factor determined by the level of specific and nonspecific agglutination, was developed. The theoretical model combined with the experimental data can be used to optimize an agglutination-based assay with regard to sensitivity and dynamic range and to estimate the affinity, receptor surface density, molecular and binding site sizes, and level of nonspecific binding that is present in the assay. The experimental results are in good agreement with the theoretical model, indicating the usefulness of the model for immunoagglutination assay optimization.

Single-particle sizing from light scattering by spectral decomposition

A Fourier transform was applied to size an individual spherical particle from an angular light-scattering pattern. The position of the peak in the amplitude spectrum has a strong correlation with the particle size. A linear equation retrieved from regression analysis of theoretically simulated patterns provides a relation between the particle size and the location of the amplitude spectrum's peak. The equation can be successfully applied to characterize particles of size parameters that range from 8 to 180 (corresponding to particle sizes that range from 1.2 to 27.2 microm at a wavelength of 0.633 microm). The precision of particle sizing depends on the refractive index and reaches a value of 60 nm within refractive-index region from 1.35 to 1.70. We have analyzed four samples of polystyrene microspheres with mean diameters of 1.9, 2.6, 3.0, and 4.2 microm and a sample of isovolumetrically sphered erythrocytes with a scanning flow cytometer to compare the accuracy of our new method with that of others.

Three-particle correlations in nonideal dusty plasma

Results are given of experimental investigation of three-particle correlations for liquid plasma-dust structures formed in the electrode layer of a high-frequency capacitive discharge. The obtained three-particle correlation functions for experimental and numerical data are analyzed and compared with the superposition approximation. The forming of clusters of macroparticles in plasma-dust systems being analyzed is revealed.

Large-amplitude dust waves excited by the gas-dynamic impact in a dc glow discharge plasma

A large-amplitude wave with two humps of dust density, separated by a dip was generated. To excite the wave in the dc glow discharge dusty plasma a gas-dynamic impact was used. The structure obtained had several interesting properties such as strong compression of dust in the humps, supersonic dust particles in the rarefaction zone, reconstruction of the initial dust configuration after the passing of the wave. The peculiarities of the phenomenon observed are discussed. The mechanism of generation and propagation for such kind of perturbation is proposed.

[Comparative analysis of topological organization in Metazoa]

Topological patterns in Metazoa, using previously elaborated methodology with employment of the genus of the surface (p) as topological invariant are considered. The term "density of the genus of the surface" is introduced. In sponges and in a lesser degree among Cnidaria and, Ctenophoria an increase of genus p up to indefinite high values and the shaping of topologically complicated quasifractal systems (irrigation system in sponges and gastro-vascular system in Radiata) are evident. In most Bilateria a stable topological pattern with open digestive tube is formed and subsequent topological complications of other systems may occur. Complicated topological patterns increasing the genus of the surface are evolved on the base of quasifractal systems: gut pockets in turbellaria, tracheal system in arthropods, bronchial system in birds, gills in bivalve mollusks, etc. Peculiarities of ordered and disordered topological patterns as well as topological origin of the increase of the genus of the surface are considered.

Mathematical modeling the kinetics of cell distribution in the process of ligand-receptor binding

A statistical approach is presented to model the kinetics of cell distribution in the process of ligand-receptor binding on cell surfaces. The approach takes into account the variation of the amount of receptors on cells assuming the homogeneity of monovalent binding sites and ligand molecules. The analytical expressions for the kinetics of cell distribution have been derived in the reaction-limited approximation. In order to demonstrate the applicability of the mathematical model, the kinetics of binding the rabbit, anti-mouse IgG with Ig-receptors of the murine hybridoma cells has been measured. Anti-mouse IgG was labeled with fluorescein isothiocyanate (FITC). The kinetics of cell distribution on ligand-receptor complexes was observed during the reaction process by real-time measuring of the fluorescence and light-scattering traces of individual cells with the scanning flow cytometer. The experimental data were fitted by the mathematical model in order to obtain the binding rate constant and the initial cell distribution on the amount of receptors.

Particle classification from light scattering with the scanning flow cytometer

BACKGROUND

The differential light-scattering pattern, an indicatrix, provides the most complete characterization of the optical properties of a particle. Particle classification can be performed on the basis of particle parameters retrieved from the indicatrices. This classification extends the ability of flow cytometry in particle recognition.

METHODS

The scanning flow cytometer (SFC) permits an acquisition of traces of light scattering signals, i.e., native SFC traces, from single particles. The acquired native SFC traces are transformed into indicatrices. The performance of the SFC in measurements of indicatrices has been demonstrated for the following particles: lymphocytes, erythrocytes, polystyrene particles, and milk-fat particles.

RESULTS

The structure and profile of the indicatrix for each particle type have been found to be unique. Classification of polystyrene particles has been performed on the basis of the map formed by particle refractive index and size. The polystyrene particles were classified using this map into different size categories ranging from 1.4-7 microm, with a size deviation of 0.07 microm.

CONCLUSIONS

The method based on analysis of native SFC traces shows better performance in particle classification than the method based on the particle refractive index and size map. The classification performance of the SFC will be useful, for example, for particle sorting and particle identification, and with additional fluorescent measurements may have applications in multiparameter particle-based immunoassay.

Light-scattering properties of individual erythrocytes

We have studied the light-scattering properties of human erythrocytes both experimentally and theoretically. In the experimental study measurements were performed with a Scanning Flow Cytometer (SFC). The SFC can measure the light-scattering pattern (indicatrix) of an individual particle over an angular range of 10-60 degrees. We have observed polymorphism in the measured set of indicatrices. To understand the reason for this polymorphism, we have made a theoretical study of the scattering properties of erythrocytes. The Wentzel-Kramer-Brillouin approximation has been employed to calculate indicatrices of individual erythrocytes in different orientations relative to the incident light beam. The indicatrices were calculated over an angular range of 15-35 degrees. A comparison of the experimentally measured and theoretically calculated indicatrices shows that the polymorphism is due mainly to the different orientation of the erythrocytes in the flow. The effect caused by the Poiseuille profile of the flow on an individual erythrocyte within the SFC cuvette capillary was studied theoretically by use of the Stokes approximation. Rotation of an erythrocyte was predicted by this theoretical analysis, and this prediction was further verified by comparison with experimental results.

A new design of the flow cuvette and optical set-up for the scanning flow cytometer

We introduce a new design for the optical cuvette and a new optical lay-out for the Scanning Flow Cytometer (SFC) that permits measurement of the angular dependency of the scattered light from individual moving particles. The improved optical scheme of the SFC allows measurement of the angular scattering pattern of individual particles at polar angles from 10 degrees to 120 degrees with integration at azimuthal angles from 0 degrees to 360 degrees and with angular resolution of better than 0.5 degrees. The performance of the SFC is demonstrated using certified polystyrene particles as reference material The aim of this work is to develop a flow cytometer, which, by recording the entire light scattering pattern of individual biological particles, would provide more information about the particle structure than the ordinary wide angle, forward and side scattering concepts.

Spectroscopic characterization of the uptake of essential and xenobiotic metal cations in cells of the soil bacterium Azospirillum brasilense

The results of flame (FAAS) or graphite furnace atomic absorption spectrometric (GFAAS) analyses are presented and discussed on the accumulation of essential metals (Mg, Ca, Mn and Fe contained in the cultivation medium) and traces of each one of the conventionally xenobiotic elements from the group V, Co, Ni, Cu, Zn or Pb, added to the medium in concentrations (0.2 mM) which do not essentially suppress growth of the bacterial culture, in cells of the plant root-associated nitrogen-fixing bacterium Azospirillum brasilense. Along with the essential cations assimilated by the bacterium, Zn and Cu were found to effectively accumulate in the biomass from the environment. The uptake of Co and Ni was significantly less pronounced, whereas Pb and V appeared to be present in cells in much lower concentrations than in the cultivation medium evidently showing no tendency to be assimilated by azospirilla. The effect of the above xenobiotics on the uptake level of the four essential elements provided evidence that they may compete for the formation of biologically active complexes with substances of both intracellular and extracellular localization. The analytical data obtained are compared with Fourier transform infrared (FTIR) spectra of intact vacuum-dried bacterial cells grown in a standard medium and under the conditions of an increased metal uptake.

Absolute real-time measurement of particle size distribution with the flying light-scattering indicatrix method

The flying light-scattering indicatrix (FLSI, angular dependency of the intensity of light scattered by a moving individual particle) method, based on a scanning flow cytometer (SFC) that permits measurement of individual particle characteristics from light-scattering data, has been used for the determination of size distribution of the following particles: polystyrene latex, milk fat, and spores (Penicillium levitum, Aspergillus pseudoglaucus). The optical system of the SPC and empirical equations provided absolute sizing at the rate of 50 particles/s. Size distributions obtained with the FLSI method and a best-fit procedure using Mie scattering theory have been compared.