Study On Nonlinear Dynamic Analysis And Synchronous Control Of Neural Network Driven By Electromagnetism

Neurons are the structural and functional units of the nervous system.The study of various electrophysiological phenomena of neurons is the basis for humans to understand and explore the mysteries of the brain.The propagation and distribution of various charged ions in the cell can be regulated to induce time-varying electric field and current when neuron is exposed to electromagnetic field,which has a distinct impact on the action potential and mode the discharge mode of neuron.Magnetic flux can be used to describe appropriate effects of electromagnetic field changes,therefore,based on the physical properties of magnetic-flux controlled memeristor and the principle of dimensional consistency,the involvement of magnetic flux and induction current can well estimate the mode transition of neural activities in the presence of external field.The neural activity of each neuron is regulated by the superposed field induced by other neurons in the nervous system.It can provide important clues for computational neuroscience and designing intelligent artificial network when the effect of field coupling on neural activities.Based on the existing neuron model,the nonlinear(random)dynamics methods and numerical simulation techniques are used to study the dynamics and synchronization control of neuron network driven by electromagnetism and analyze the influence of ion channel noise on the signal transmission and processing of neural system.The main contents and conclusions are summarized as follows:(1)The model of autapse neuron driven by electromagnetic force is proposed.The bifurcation analysis was used to study the mode transition of membrane potentials,the biological functions of autapse were discussed,and the synchronic behavior of neuronal systems coupled with chemically-synaptic and electrical synapse-coupled under electromagnetic drive was studied.Research indicates:the formation of autapse can enhance the adaptive capacity of the neuron system and respond appropriately to external stimuli.This biological function is helpful for neuron coding and signal transmission.With the increase of chemical synaptic feedback gain,the action potential changes from mixed oscillation to periodic oscillation.The external stimuli causes two Hopf bifurcation points in the system.In the electromagnetic drive system,the mode selection of the membrane potential is related to the initial value.In addition,there are domains of coupling strength and feedback gain,which make the two coupling neurons reach synchronization.(2)The regulatory effect of field coupling on collective behavior of neural networks is studied by using chain neural networks.In the network,according to the location distance of neurons,appropriate coupling weights are introduced to describe the effect of each neuron on other neurons.In addition,the response of field coupling to channel noise in this neural network is analyzed.The research results show that the synchronization of the neural network depends on the strength and weight of the field coupling,and the action potential mode can be adjusted by the field coupling.The weaker field coupling is conducive to the regularity of the electrical activity pattern of the neural network.In the case of low noise intensity,electromagnetic drive easily affects the firing mode of neurons,which reflects the importance of field coupling in regulating the electrical activity mode of neurons.(3)The regulation of ion channel block on spontaneous spike discharge activity and action potential mode of neural network were studied by the improved Hodgkin-Huxley neuron model with electromagnetic induction.The effects of potassium and sodium ion channel block on the firing behavior of neurons were analyzed by numerical simulation.The results show that the change of the maximum conductance of potassium ion channel can cause spontaneous discharge of neurons.The blockade of potassium ion channels in the neural network is weakened by electromagnetic radiation,and the system shows a spatially ordered state.At the same time,potassium ion block is conducive to neuron discharge and thus promotes the formation of spiral waves in the network;on the contrary,sodium ion channel block inhibits the production of neuron action potential.