Neurons exhibit a diverse dynamic behaviors in response to external stimuli.Extensive experimental studies have shown that the blockage of ion channel in nerve cells plays a crucial physiological role in balancing ion concentrations and regulating information exchange,both in individual neurons and the neuronal network.In the meantime,astrocytes,one of the active partners of the neuron,play the role of“coordinator” in neural activity.The study of the collective behavior of neuronal and astrocyte interactions is valuable in revealing the function of the nervous system and the mechanism of various neurological diseases.In this paper,we have considered the regulatory role of ion channel blockage based on the Hodgkin-Huxley(HH)neuronal model.We investigated the resonance effects in the neuron-astrocyte coupling model and analyzed the dynamics of the chimera state in a neural network.The main achievements are as follows:1.In an stochastic HH model,ion channel blockage and astrocyte were introduced separately to study the overall nervous system response to subthreshold periodic signal of different frequencies.The results indicated that the blockage of sodium channels impaired the ability of neurons to respond to weak signals,while potassium channel blockage significantly enhanced the response.Furthermore,the optimal potassium channel blockage strength exists,corresponding to the optimal response output of the system,which means that the system has reached a resonance state.The involvement of astrocyte allowed neurons to respond differently to weak signal for different frequencies.The higher the coupling strength between neurons and astrocyte,the more optimal response of the system to a high-frequency weak signal.The nervous system exhibited a“frequency selection” phenomenon in response to weak signals: during low frequencies,potassium channel blockage improved response performance,while astrocyte can modulate neuronal responses to external stimuli in the higher frequency range.2.By constructing a stochastic network model of HH neurons with chemical synaptic coupling,both the chimera state dynamics of the network with channel blockage and the response behavior of the system to weak signals during the chimera state were investigated.The results demonstrated that the strength of ion channel blockage and the strength of synaptic coupling between neurons co-regulated the network states.With the changed of these two parameters,the network exhibited a fully resting state,a fully activated state,and a chimera state in which part of the neurons were resting and part of the neurons were activated.The state of the neural network has a direct impact on bioenergy consumption.The calculation result shown that the energy consumption of the chimera state was less than that of the fully discharged state of the network neurons.When weak signal input,the network can respond perfectly to the weak signal in both the chimera and fully firing state.Therefore,the chimera state of the neural network had the advantage of low energy consumption and high response.Theoretical research on the chimera state may be relatively beneficial for explaining the phenomenon of biological half-brain sleep. |