Study On The Dynamic Behavior Of Izhikevich Neuron Model Under Electromagnetic Induction

Neurons are the structural and functional units of the nervous system.The electrical activity and dynamic response of neurons are affected by time-varying electromagnetic fields,which are generated by unevenly distributed charged ions across the cell membrane or external electromagnetic radiation.Therefore,electromagnetic induction effects should be considered in the study of neuron dynamics to help further recognize and even treat neurological diseases related to electromagnetic effects.In this paper,a magnetic flux variable is introduced into the two-dimensional Izhikevich neuronal model,and the three-dimensional Izhikevich neuronal model considering electromagnetic effects is constructed.Using the improved model and computer simulation,the related dynamics of a single neuron and the resonance characteristics of the feed-forward-loop neuronal network motifs under electromagnetic induction are studied.The results are as follows:1.The discharge behavior and signal detection ability of neurons subjected to electromagnetic induction are studied.The results show that electromagnetic induction enriches the electrical activity and increases the firing rate of neurons.The appropriate electromagnetic field can induce the firing of neurons to switch between single-cycle,multi-cycle and chaotic firing.In addition,it is found that stochastic resonance occurs under electromagnetic induction and bounded noise,indicating that the signal detection ability of neurons can be enhanced by proper electromagnetic field and noise.2.The discharge mode of neurons under the stimulation of periodic current or electromagnetic radiation is studied.Meanwhile,the corresponding Hamiltonian energy functions are deduced,and the relationship between energy and discharge mode is investigated.The results show that electromagnetic radiation causes more complex multi-mode transitions,and the energy change caused by stimulation depends on the mode selection.In particular,the energy has a significant shift and transition when the discharge mode is switched quickly,and the average energy drops when the electrical activity converts from low rhythm into high rhythm.The amplitude of the stimulus signal has a greater impact on the discharge mode and energy than the angular frequency.The possible mechanism is that the stronger signal easily triggers the mode transition,while the angular frequency only fine tunes the discharge rhythm with a fixed amplitude.3.The resonance characteristics of the feed-forward-loop neuronal network motifs under electromagnetic induction are studied.It is found that the vibrational resonance induced by high-frequency signal occurs in the motifs.Appropriate high-frequency signal,chemical synapse and electromagnetic induction can enhance the transmission and processing capabilities of the motifs for weak signal.In different types of the feed-forward-loop neuronal network motifs,there are obvious differences in vibrational resonance,especially in the number and intensity of resonance.In addition,it is found that the inverse stochastic resonance induced by noise occurs in the motifs,indicating that appropriate noise has the greatest inhibitory effect on the firing activity of the motifs.The increase of synaptic coupling strength makes the phenomenon of inverse stochastic resonance more obvious or weaker,which depends on the type of intermediate neuron of the feed-forward-loop neuronal network motifs.The enhancement of direct current or electromagnetic field weakens the phenomenon of inverse stochastic resonance in the motifs,or even makes it disappear.