Study On Dynamic Characteristics And Coupling Synchronization Of Three-dimensional Hybrid Neuron Models

The activity of human and mammalian neocortical neurons is relatively complicated,and it is also affected by the effects of various ionic currents.The neocortical neurons generated by these currents exhibit rich discharge activities,which are harmful to the neocortex of the human brain.Research is a more cutting-edge subject,which will help to further explore the human brain mechanism in the future.However,because the difference in the concentration of neuron membrane ions will generate electromagnetic fields around and in turn affect the neuron discharge,the related research considering the electromagnetic induction effect has not been ignored.Finally,neurons are not separate individuals.Neurons are connected to each other through different coupling methods in the nervous system to form a huge network system,which ultimately regulates the normal physiological activities of human beings.Synchronized behavior of the coupled nervous system will help to provide some possible references and guidance for the cure of many neurological diseases.Therefore,it is a meaningful research topic to study the neuron synchronization dynamics of the coupled neuron model.It may serve as a driving force for future medical development and provide a possible reference value for some medical problems.This article uses a three-dimensional Hybrid neuron model,which is a two-dimensional fast-relief system built on the four-dimensional new cortical Wilson neuron model and a one-dimensional slow-relief system based on the HindMarsh-Rose neuron model.The efficiency of the three-dimensional mathematical model,and meet certain biophysical characteristics,at the same time,under the appropriate parameter variables,this type of neuron model can show different discharge activities of neurons.In this paper,based on the results of the three-dimensional Hybrid neuron model combined with the analysis of the time series diagram of the membrane potential of the neuron,the peak-to-peak interval bifurcation diagram and the phase trajectory diagram,this paper studies and discusses the neuron discharge activity law,mode changes and related dynamics issues.Then,based on the three-dimensional Hybrid neuron model of electromagnetic induction effect,we study the effect of different bifurcation parameters on the transition of neuron discharge pattern.Finally,three different types of coupling models were constructed,namely electrical synapse,chemical synapse,and a three-dimensional Hybrid neuron model considering the coupling of electromagnetic induction effects.Numerical simulation computer technology was used to study the synchronization dynamics of neurons.The study found that the three-dimensional Hybrid neuron discharge activity produced different responses with different external stimuli,showing different forms of neuron discharge activity.Considering that the electromagnetic stimulation effect induces the neuron to oscillate,the threshold of the external stimulus current decreases,and as the angular frequency of the external periodic current increases,the electrical activity of the neuron shows a regular discharge,while increasing the external periodic current amplitude value rules the neuron Discharge will have a destructive effect.The study found that the corresponding electrical coupling neurons when the coupling strength increases,the neuron discharge activity can be considered to be almost completely synchronized.However,when the coupling strength is relatively low,the amplitude of the coupling strength is gradually increased.The results show that the discharge behavior of the chemical synapse-coupled neurons will be destroyed and tend to be chaotic.Finally,considering the electromagnetic induction effect,the coupled Hybrid neuron increases the peak value of the external stimulus current when the coupling intensity is positive.However,when the external stimulus current is constant,increasing the coupling intensity can induce the two coupled neurons to achieve regular and completely synchronous discharge.state.When the coupling strength is negative,the peak value of neuron discharge increases when the external stimulation current is increased.However,when the coupling strength is a smaller value,the threshold value of the external stimulation current that induces neuronal discharge decreases.That is to say,the positive selection of coupling strength produces negative feedback and stability for each neuron,while the negative selection of coupling strength can induce positive feedback of neurons.