Abstract

In this paper, novel nonlinear statistical methods of immunofluorescence analysis are presented. We investigated the experimental data of DNA fluorescence in neutrophils nuclei of peripheral blood. DNA fluorescence is triggered by biochemical reactions of respiratory oxidative burst. Histograms of photon counts statistics are generated by flow cytometry method. The histograms represent distributions of fluorescence flash frequency as functions of fluorescence intensity. Large-scale averaging of initial histograms gives bifurcations of immunofluorescence statistical distributions for healthy and unhealthy donors. The statistical signs of transcritical bifurcation provide the classification of all available immunofluorescence histograms into three large groups. The first group corresponds to oncology and autoimmune diseases; the second group corresponds to inflammatory diseases; the third group corresponds to healthy donors. The fluorescence histograms for pregnant women on the other hand show two groups of health status. The immunofluorescence analysis supplements a well-known biochemical analyses. Some discussions on biophysical and biomedical analogies for the proposed approaches with another physical classifications, such as bronchial tree, pathology of heart rhythms, different bistabilities switching and others, are presented.

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