Abstract
We extend the existing ordinary differential equations modeling neural electrical activity to include the memory effect of electromagnetic induction through magnetic flux, used to describe time varying electromagnetic field. Through the multi-scale expansion in the semi-discrete approximation, we show that the neural network dynamical equations can be governed by the complex Ginzburg-Landau equation. The analytical and numerical envelop soliton of this equation are reported. The results obtained suggest the possibility of collective information processing and sharing in the nervous system, operating in both the spatial and temporal domains in the form of localized modulated waves. The effects of memristive synaptic electromagnetic induction coupling and perturbation on the modulated action potential dynamics examined. Large electromagnetic induction coupling strength may contribute to signal block as the amplitude of modulated waves are observed to decrease. This could help in the development of a chemical brain anaesthesia for some brain pathologies.
Highlights
Even after over a century of active reported investigations, the human brain made up millions of inter-connected neurons continue to reveal new complexities in behavior due to its complex dynamics
Based on the seminal work by Hodgkin and Huxley (HH) [1] linked to electrophysiological experiments, the form of the signal carrying information in the nervous system is nowadays well accepted as an impulse, originating from the potential difference across the cell membrane
This is very important from biophysical point of view. It suggests the effect of electromagnetic induction could effectively change the collective dynamics of neuronal network by altering the frequency of oscillation which is fundamental in the information processing in the nervous system
Summary
Even after over a century of active reported investigations, the human brain made up millions of inter-connected neurons continue to reveal new complexities in behavior due to its complex dynamics. The biological HH neuron model and many of its simplified versions have confirmed their effectiveness for recognizing and understanding the electrical activities in neurons. The electrical activity of biological cell membrane can be altered when exposed to electromagnetic induction, created during the period of ions current exchange as well as during fluctuation in ion concentration [9,10,11]. Many improved versions of the neurons model had been proposed. Using these models, the social concern of external electromagnetic radiation from the increasing usage of mobile communication on human
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call