Abstract

We analyze correlations and patterns of oxidative activity of 3D DNA at DNA fluorescence in complete sets of chromosomes in neutrophils of peripheral blood. Fluorescence of DNA is registered by method of flow cytometry with nanometer spatial resolution. Experimental data present fluorescence of many ten thousands of cells, from different parts of body in each population, in various blood samples. Data is presented in histograms as frequency distributions of flashes in the dependence on their intensity. Normalized frequency distribution of information in these histograms is used as probabilistic measure for definition of Shannon entropy. Data analysis shows that for this measure of Shannon entropy common sum of entropy, i.e. total entropy E, for any histogram is invariant and has identical trends of changes all values of E (r) = lnr at reduction of rank r of histogram. This invariance reflects informational homeostasis of chromosomes activity inside cells in multi-scale networks of entropy, for varied ranks r. Shannon entropy in multi-scale DNA networks has much more dense packing of correlations than in “small world” networks. As the rule, networks of entropy differ by the mix of normal D 2 and abnormal D > 2 fractal dimensions for varied ranks r, the new types of fractal patterns and hinges for various topology (fractal dimension) at different states of health. We show that all distributions of information entropy are divided on three classes, which associated in diagnostics with a good health or dominants of autoimmune or inflammatory diseases. This classification based on switching of stability at transcritical bifurcation in homeostasis regulation. We defined many ways for homeostasis regulation, coincidences and switching patterns in branching sequences, the averages of Hölder for deviations of entropy from homeostasis at different states of health, with various saturation levels the noises of entropy at activity of all chromosomes in support regulation of homeostasis.

Highlights

  • We oriented on medical diagnostics of health status based on oxidative activity of DNA in cells for everyday clinical practice, for given person at given time

  • Of clusters in networks of DNA entropy. This invariant defines the informational homeostasis of oxidative activity of 3D DNA for full set of chromosomes inside living cells, at any biodiversity of cells for Shannon-Weaver index [5]

  • We study various large-scale distributions of Shannon entropy, based on normalized distribution of information in original histogram for frequency of flashes in different blood samples

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Summary

Introduction

We oriented on medical diagnostics of health status based on oxidative activity of DNA in cells for everyday clinical practice, for given person at given time. Characteristics, changes and deviations various fractal correlations in networks of fluorescing DNA inside cells can be used for medical diagnostics [6] How these results may to use for definition varied structures of informational activity of DNA?. Of clusters in networks of DNA entropy This invariant defines the informational homeostasis of oxidative activity of 3D DNA for full set of chromosomes inside living cells, at any biodiversity of cells for Shannon-Weaver index [5]. This invariant gives the overall zero level for countdown of information activity of DNA in cells for any person, at any state of health and for any genome of different people. It means existence of informational homeostasis of DNA during all the life time of cells from birth to death

Manifold of Dense Fractal Networks of Shannon Entropy for Information
Statistical Stability and Transcritical Bifurcation
Conclusions
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