Response of Electrical Activity in an Improved Neuron Model under Electromagnetic Radiation and Noise

Abstract

Electrical activities are ubiquitous neuronal bioelectric phenomena, which have many different modes to encode the expression of biological information, and constitute the whole process of signal propagation between neurons. Therefore, we focus on the electrical activities of neurons, which is also causing widespread concern among neuroscientists. In this paper, we mainly investigate the electrical activities of the Morris-Lecar (M-L) model with electromagnetic radiation or Gaussian white noise, which can restore the authenticity of neurons in realistic neural network. First, we explore dynamical response of the whole system with electromagnetic induction (EMI) and Gaussian white noise. We find that there are slight differences in the discharge behaviors via comparing the response of original system with that of improved system, and electromagnetic induction can transform bursting or spiking state to quiescent state and vice versa. Furthermore, we research bursting transition mode and the corresponding periodic solution mechanism for the isolated neuron model with electromagnetic induction by using one-parameter and bi-parameters bifurcation analysis. Finally, we analyze the effects of Gaussian white noise on the original system and coupled system, which is conducive to understand the actual discharge properties of realistic neurons.

Effect of temperature sensitive ion channels on the single and multilayer network behavior of an excitable media with electromagnetic induction

“…This is the reason we choose the second layer to be the highly temperature sensitive potassium channels as the potassium channels opens secondary channels [32] for certain values of temperatures and thus have complex behaviors when in a network. The mathematical model of the threelayer network is defined in (6). Layer-1: Temperature sensitive Calcium ion channel…”

“…Hence electrical activity patterns of neurons can be easily controlled by tuning the external magnetic field parameters, which includes spiking state, bursting state, periodic state and even chaotic state. Electromagnetic radiation can improve the synchronization degree of negative feedback coupled neurons meanwhile manage the discharge of positive feedback couple neurons [5,6]. Because of the advantages of mimicking various real-time behaviors particularly network dynamics, it is obvious to get interested to investigate the M-L model with electromagnetic induction.…”

Bursting and Synchronization of Coupled Neurons under Electromagnetic Radiation

“…Inspired by Refs. [35,[48][49][50], electromagnetic radiation is considered when improved Morris-Lecar neuron model is constructed, in which the e ect of electromagnetic radiation is regarded as a slow subsystem and two-dimensional Morris-Lecar neuron model as a fast subsystem. As a result, the improved Morris-Lecar neuron model is described as follows.…”

Influence of Electric Current and Magnetic Flow on Firing Patterns of Pre-Bötzinger Complex Model

“…An appropriate external stimulus can change the firing patterns of neurons. Much research in recent years has focused on the effects of electromagnetic radiation on neuronal behaviors [16][17][18][19][20]. Electromagnetic radiation can affect the dynamic characteristics of neurons, and electrical or electromagnetic stimulation can also be used to treat neurological diseases [21][22][23].…”