Acta Scientific Clinical Case Reports

Research Article Volume 2 Issue 8

Distinctive Features of Criticality in the Operation of Membrane Na+/K+-ATPases

Petukhov VI1*, Dmitriev EV2, Baumane L Kh3, Skalny AV4 and Grabeklis AR4

1Baltic International Academy, Riga, Latvia
2Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia
3Latvian Institute of Organic Synthesis, Riga, Latvia
4ANO Center for Biotic Medicine, Moscow, Russia

*Corresponding Author: Petukhov VI, Department of Psychology, Baltic International Academy, Riga, Latvia.

Received: July 12, 2021; Published: July 28, 2021


Based on the data of mass spectrometry of metals in the hair of 947 healthy individuals and 954 liquidators of the Chernobyl accident, the authors of the article propose to use some markers enabling to distinguish between the subcritical and critical phases in Na/K homeostasis of epidermal cells.

The main criterion for phase separation was the numerical values of Na and K at the Сthr point (the beginning of the critical phase), from which linearization begins on the Pareto distribution plot on a double logarithmic scale. The plotting for Na and K and location of the Cthr point was performed based on the results of hair spectrometry from 10,000 healthy individuals aged 20 - 45 years.

In the authors’ opinion, the following indicators can serve as additional distinguishing features of these phases: a) the cluster character of quantitative shifts in the metal-ligand homeostasis of metals such as Na, K, Al, Cd, Cr, Cu, Fe, Li, Pb, V and Zn, against the background of oxidative/nitrosative stress; b) reliable positive Na-K and negative K-Zn bonds (Pearson) according to the data of mass spectrometry of metals; c) an increase in the numerical values of the synchronization index - an integral indicator of the tightness of linear connections (pairwise correlations) between metals.

Keywords: Nitric Oxide; Metal-Ligand Homeostasis; Self-Organized Criticality; Epidermis


  1. Petukhov VI., et al. “Electrogenic metals in epidermis: relationship with cell bioenergetics”. Insights in Biomed2 (2016): 9-14.
  2. Petukhov VI., et al. “Some aspects of regulatory criteria for metal-ligand homeostasis in epidermal cells”. Journal of Antioxidant Activity3 (2018): 22-32.
  3. Petukhov VI., et al. “Homeostasis of metals in epidermis: age shifts and possible connection with critical (synchronous) work of membrane ATPases”. Biomedical Journal of Scientific and Technical Research3 (2020): 21697-21705.
  4. Petukhov VI., et al. “Homeostasis of sodium (Na) and potassium (K) in epidermis as a self-organized criticality phenomenon”. Proteomics and Bioinformatics1 (2019): 62-67.
  5. Petukhov VI., et al. “Metal-ligand homeostasis in epidermic cells of Chernobyl accident liquidators”. Vitamins and Trace Elements2 (2011): 1-8.
  6. Petukhov VI., et al. “Membrane pump operation synchronicity (criticality) in epidermal cells: the possibility of quantifying the level of synchronization”. International Journal of Negative Results1 (2018): 12-19.
  7. Kumerova AO., et al. “Antioxidant defence and trace element imbalance in patients with postradiation syndrome: first report on phase I studies”. Biological Trace Element Research 77 (2000): 1-12.
  8. Petukhov VI., et al. “Diagnosis of nitrosative stress by quantitative EPR-spectroscopy of epidermal cells”. Bulletin of Experimental Biology and Medicine 154 (2013): 734-736.


Citation: Petukhov VI., et al. “Distinctive Features of Criticality in the Operation of Membrane Na+/K+-ATPases". Acta Scientific Clinical Case Reports 2.8 (2021): 84-90.


Copyright: © 2021 Petukhov VI., et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


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