TITLE:
Invariance and Noises of Shannon Entropy for Information on Oxidative Activity of DNA in All Living Cells for Medical Diagnostics
AUTHORS:
Nikolay E. Galich
KEYWORDS:
Averages of Hölder for Noises of Shannon Entropy in Homeostasis Regulation of Total Shannon Entropy; Entropy and Information of DNA Activity in Cells; Information Entropy for Oxidizing Activity of DNA; Informational Homeostasis and Self-Regulation of DNA Activity in Cells; Noise of Information Entropy
JOURNAL NAME:
American Journal of Operations Research,
Vol.4 No.2,
March
25,
2014
ABSTRACT: We analyze oxidative activity of DNA due to
fluorescence of chromosomes inside cells, using flow cytometry method with
nanometer spatial resolution. Statistics of fluorescence is presented in
histogram as frequency distributions of flashes in the dependence on their
intensity and in distributions of Shannon entropy, which was defined on the base of normalized distribution of information in
original histogram for frequency of flashes. We show that overall 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 histogram’ rank r. This invariance
reflects informational homeostasis of chromosomes activity in multi-scale
networks of entropy inside all cells in various samples of blood for DNA inside
neutrophils, lymphocytes, inside all leukocytes of human and inside chicken
erythrocytes for various dyes, colors and various excitations of fluorescence.
Informational homeostasis of oxidative activity of 3D DNA in the full set of
chromosomes inside living cells exists for any Shannon-Weaver index of
biodiversity of cells, at any state of health different beings. Regulation
perturbations in information activity DNA provides informational adaptability
and vitality of cells at homeostasis support. Noises of entropy, during
regulation of informational homeostasis, depend on the states of health in real
time. The main structural reconstructions of chromosomal correlations,
corresponding to self-regulation of homeostasis, occur in the most large-scale
networks of entropy, for rank r