Non-Resonant Frequencies of Electromagnetic Fields in α-Helices Cellular Membrane Channels

Emanuele Calabrò1, 5, *, Salvatore Magazù1, 2, 3, 4
1 Department of Mathematical and Informatics Sciences, Physical Sciences and Earth Sciences of Messina University, Viale Ferdinando Stagno D' Alcontres 31, 98166 Messina, Italy
2 Le Studium, Loire Valley Institute for Advanced Studies, Orléans & Tours, France
3 Centre de Biophysique Moleculaire (CBM)-CNRS UPR 4301 du CNRS, rue Charles Sadron, 45071 Orleans CEDEX 2 France; Laboratoire Interfaces, Confinement, Matériaux et Nanostructures (ICMN) - UMR 7374 CNRS - Université d’Orléans, 1b rue de la Férollerie, CS 40059, 45071 Orléans cedex 2, France
4 Istituto Nazionale di Alta Matematica “F. Severi” – INDAM - Gruppo Nazionale per la Fisica Matematica – GNFM, Rome, Italy
5 Industrial Technical Institute “Verona Trento-Marconi”, 98123Messina, Italy

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© 2018 Calabrò and Magazù.

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: ( This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Department of Mathematical and Informatics Sciences, Physical Sciences and Earth Sciences of Messina University, Viale D'Alcontres n.31, I-98166 Messina, Italy; E-mail:



This paper would be a starting point addressed to a methodology to minimize the effects on livings of man made Electromagnetic Fields (EMFs) pollution.


Given that previous literature highlighted that the most relevant EMFs effects on biological systems can be due to resonance phenomena between electromagnetic field and organic matter, it was proposed here an algorithm to obtain values of frequencies of an applied electromagnetic field far from resonant frequencies, depending on the natural frequencies and viscous damper of a biological system. These frequencies have been named non-resonant frequencies.


The displacement of the α-helices in cellular membrane channels due to EMFs has been proposed as a relevant parameter for quantifying the result of the interaction between an applied EMF and organic matter, in order to find both the natural frequencies of a biological system and the resonant frequencies at which α-helices displacement should be maximum.


The non-resonant frequencies can be obtained using the algorithm proposed here.

Keywords: Electromagnetic field, Resonance, α-helix, Biological systems, Cellular membrane channels, Non-resonant frequencies, Natural frequencies.