Taking into account the external waves of the brain and mainly those coming from the electromagnetic radiation(s) surrounding) us are essential for a good analysis of the different behaviors of human beings through the electrical activity described by their nervous system. For this, in this contribution, we propose a neuronal model which takes into account the diffusion phenomena of Ca+ and K+ ions on either side of the neuronal cell membrane. For this model, we show that it is able to reproduce the different behaviors reflecting the state of the neuron and generally obtained in the laboratory by electrophysiologists using electroencephalograms. Thus, considering the effect of the electric field that is produced on the dynamic behavior of neurons, the essential properties of the model such as equilibrium point and its stability, bifurcation diagrams, Lyapunov spectrum, frequency spectra, time series of the membrane potential and phase portraits are thoroughly investigated. For a possible use in medical engineering, we continue by showing that the modified neuron model that we present can be realized physically through some basic electronic components such as the operational amplifiers TL084, the electronic multipliers (MULT) and the analog component versions AD633JN. When we assume that the subject whose neuron electrical activity is being studied is exposed to electromagnetic radiation, we thoroughly investigate their effects on the behavior of the latter. Finally, we show that cerebral pathologies (e.g. epilepsy, schizophrenia, Alzheimer's disease, Parkinson's disease, and autism just to name these few) that arise as a result of the regularity in the behavior of the electrical activity of neurons, can be corrected. This requires finding the right levels of electromagnetic radiation to which the patient must be subjected without the risk of having considerable negative effects.
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