A model for analyzing evolutions of neurons by using EEG waves

Massimo Fioranelli; O. Eze Aru; Maria Grazia Roccia; Aroonkumar Beesham; Dana Flavin; Massimo Fioranelli; O. Eze Aru; Maria Grazia Roccia; Aroonkumar Beesham; Dana Flavin

doi:10.3934/mbe.2022604

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 12: 12936-12949. doi: 10.3934/mbe.2022604

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A model for analyzing evolutions of neurons by using EEG waves

1.
Department of Human Sciences, Guglielmo Marconi University, Via Plinio 44, 00193 Rome, Italy
2.
Department of Computer Engineering, College of Engineering and Engineering Technology, Michael Okpara University of Agriculture, Umudike Umuahia, Abia State, Nigeria
3.
Faculty of Natural Sciences, Mangosuthu University of Technology, PO Box 12363, Jacobs 4026, South Africa
4.
Department of Mathematical Sciences, University of Zululand, Private Bag X1001, Kwa-Dlangezwa 3886, South Africa
5.
President, Foundation for Collaborative Medicine and Research, Greenwich CT, USA

Received: 16 June 2022 Revised: 10 July 2022 Accepted: 24 July 2022 Published: 05 September 2022

It is known that differences between potentials of soma, dendrites and different parts of neural structures may be the origin of electroencephalogram (EEG) waves. These potentials may be produced by some excitatory synapses and currents of charges between neurons and then thereafter may themselves cause the emergence of new synapses and electrical currents. These currents within and between neurons emit some electromagnetic waves which could be absorbed by electrodes on the scalp, and form topographic images. In this research, a model is proposed which formulates EEG topographic parameters in terms of the charge and mass of exchanged particles within neurons, those which move between neurons, the number of neurons and the length of neurons and synapses. In this model, by knowing the densities of the frequencies in different regions of the brain, one can predict the type, charge and velocity of particles which are moving along neurons or are exchanged between neurons.
- EEG,
- brain,
- topography,
- frequency,
- wave,
- charges
Citation: Massimo Fioranelli, O. Eze Aru, Maria Grazia Roccia, Aroonkumar Beesham, Dana Flavin. A model for analyzing evolutions of neurons by using EEG waves[J]. Mathematical Biosciences and Engineering, 2022, 19(12): 12936-12949. doi: 10.3934/mbe.2022604

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Abstract

It is known that differences between potentials of soma, dendrites and different parts of neural structures may be the origin of electroencephalogram (EEG) waves. These potentials may be produced by some excitatory synapses and currents of charges between neurons and then thereafter may themselves cause the emergence of new synapses and electrical currents. These currents within and between neurons emit some electromagnetic waves which could be absorbed by electrodes on the scalp, and form topographic images. In this research, a model is proposed which formulates EEG topographic parameters in terms of the charge and mass of exchanged particles within neurons, those which move between neurons, the number of neurons and the length of neurons and synapses. In this model, by knowing the densities of the frequencies in different regions of the brain, one can predict the type, charge and velocity of particles which are moving along neurons or are exchanged between neurons.

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